U.S. patent number 3,744,191 [Application Number 05/207,914] was granted by the patent office on 1973-07-10 for large air supported structures.
This patent grant is currently assigned to Birdair Structures, Inc.. Invention is credited to Walter W. Bird.
United States Patent |
3,744,191 |
Bird |
July 10, 1973 |
LARGE AIR SUPPORTED STRUCTURES
Abstract
A large air supported structure of generally spherical or
spherical-sectioned configuration for use as a stadium cover or the
like comprising a cabling system in the form of lattice work of
cables attached at their points of intersection by joining devices,
so as to form interstices of triangular shaped configuration, and
an air inflatable envelope having elements thereof closing the
cable interstices and formed with a double curvature configuration
having radii of curvature substantially smaller than the radius of
curvature of said structure. In the preferred embodiment, the
cabling system includes three groups of continuous cables arranged
such that the centermost cables of the groups intersect adjacent
the crown of the spherical structure at approximately 60.degree.
angles and the groups of cables cooperate to define interstices
approximating equalateral triangles. Also, the envelope elements
are preferably in the form of individual panels removably joined
about their marginal edges to the cables defining the interstices.
Sealing devices are arranged so as to provide an air seal between
adjacent envelope panels outwardly of the cabling system, such that
panels are removable outwardly of the structure, while the cabling
system is fully enclosed but accessible internally of the
structure. An inflatable work access shelter is removably
attachable to the outer surface of the structure by anchoring
devices carried by the cabling joining devices, so as to permit
replacement or repair of individual panels from a point exteriorly
of the structure without loss of inflation air therefrom.
Inventors: |
Bird; Walter W. (Williamsville,
NY) |
Assignee: |
Birdair Structures, Inc.
(Buffalo, NY)
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Family
ID: |
22772483 |
Appl.
No.: |
05/207,914 |
Filed: |
December 14, 1971 |
Related U.S. Patent Documents
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Application
Number |
Filing Date |
Patent Number |
Issue Date |
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862245 |
Sep 30, 1969 |
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Current U.S.
Class: |
52/2.23; 52/2.25;
52/81.3; D25/19 |
Current CPC
Class: |
E04H
15/22 (20130101) |
Current International
Class: |
E04H
15/22 (20060101); E04H 15/20 (20060101); E04b
001/345 (); E04g 011/04 () |
Field of
Search: |
;52/2,63,80,83,81
;61/68 |
References Cited
[Referenced By]
U.S. Patent Documents
Foreign Patent Documents
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1,352,239 |
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Jun 1964 |
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FR |
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713,972 |
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Aug 1954 |
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GB |
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243,805 |
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Sep 1969 |
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SU |
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259,189 |
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Apr 1967 |
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OE |
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Primary Examiner: Abbott; Frank L.
Assistant Examiner: Raduazo; Henry E.
Parent Case Text
CROSS REFERENCE TO RELATED APPLICATION
This application is a continuation of application Ser. No. 862,245,
filed Sept. 30, 1969.
Claims
I claim:
1. A large air supported structure of at least spherical sectioned
configuration for use as a stadium cover or the like, comprising in
combination:
a base support for said structure;
a reinforcing cable system anchored to said base support, said
cabling system being formed of a plurality of cables arranged in an
intersecting relationship so as to define a pattern consisting of
three groups of cables wherein centermost cables of said groups
intersect at approximately 60.degree. angles adjacent the crown of
said structure and said groups of cables cooperate to define
interstices approximating relatively uniformly sized equalateral
triangles, and joining means fixedly interconnecting said cables at
all the points of intersection thereof; and
an air inflatable envelope for supporting said cables above said
base support in an upwardly arched and loaded condition, said
envelope having elements thereof closing said cable interstices and
said envelope being arranged in a substantially fluid sealed
relationship relative to said base support so as to form a
substantially air tight enclosure reinforced by said cabling
system, and attaching means for attaching siad envelope to said
cables, whereby to retain said envelope elements in registration
with their associated cable interstices and transfer envelope loads
into said cable system.
2. A structure according to claim 1, wherein said cables are
continuous along the surface of said structure and anchored at
their respective ends to said base support.
3. A structure according to claim 1, wherein said envelope is
formed by a plurality of panels, at least some of said panels are
of diamond shaped configuration and define two envelope elements
for closing two adjacent interstices, said panels of diamond shaped
configuration being marginally attached to cables bounding said
adjacent interstices, and said envelope includes means for sealing
between marginal edges of adjacent panels.
4. A structure according to claim 1, wherein said envelope is
formed by a plurality of panels of essentially triangular shaped
configuration, each of said panels defining one of said envelope
elements and being marginally attached to said cables bounding an
associated interstice by said attaching means, said panels having
double curvature configuration wherein the radii of curvature
thereof are substantially smaller than the radii of curvature of
said structure, and said envelope includes seal means for sealing
between marginal edges of adjacent panels.
5. A structure according to claim 16, wherein said envelope is
formed by a plurality of panels of essentially triangular shaped
configuration, each of said panels defining one of said envelope
elements and being marginally attached to said cables bounding an
associated interstice by said attaching means, said panels having
double curvature configuration wherein the radii of curvature
thereof are substantially smaller than the radii of curvature of
said structure, and said envelope includes seal means for sealing
between marginal edges of adjacent panels.
6. A large air supported structure for use as a stadium cover or
the like, comprising in combination:
a base support for said structure;
a reinforcing cable system anchored to said base support, said
cabling system being formed of a plurality of cables arranged in an
intersecting relationship so as to define a pattern consisting of
three groups of cables wherein centermost cables of said groups
intersect at approximately 60.degree. angles adjacent the crown of
said structure and said groups of cables cooperate to define
interstices approximating equalateral triangles of relatively
uniform size and joining means fixedly interconnecting said cables
at all the points of intersection thereof; and
means for supporting said cables above said base support in
upwardly arched and tensioned condition, said means for supporting
said cables comprising an air inflatable envelope arranged in a
substantially fluid sealed relationship relative to said base
support so as to form a substantially air tight enclosure
reinforced by said cabling system, said envelope comprising a
plurality of triangular panels, each of flexible, air inflatable
material and each aligned with a particular interstices with which
it is associated, attaching means attaching each panel along its
marginal edges to the portions of the intersecting cables which
bound the interstice with which each panel is associated for
obtaining relatively uniform distribution of load in said cables,
and seal means for sealing between marginal edges of adjacent
panels.
7. A structure according to claim 6, wherein said cables are
continuous along the surface of said structure and anchored at
their respective ends to said base support.
8. A structure according to claim 6, wherein said structure
additionally includes in combination:
an air inflated, work access shelter, said shelter being
dimensioned so as to provide an enclosure covering a plan view area
of said envelope in excess of at least one of said panels, said
shelter including tie down means removably attachable to said
cabling system and means adapted to form a fluid seal with said
envelope, whereby said shelter may be selectively anchored to said
structure above one of said panels in a fluid seal relationship to
portions of said envelope bounding said one panel such that when
inflated, said shelter provides a weather protection enclosure for
workmen on the exterior of said structure and reduced differential
in pressure across said one panel so as to facilitate repair or
replacement thereof.
9. A structure according to claim 6, wherein said cabling system
includes anchoring devices, said anchoring devices being adapted to
extend outwardly of said structure through said envelope, and said
structure additionally includes in combination:
an air inflated work access shelter, said shelter being dimensioned
so as to provide an enclosure covering a plan view area of said
envelope in excess of at least one of said panels, said shelter
including tie down means removably attachable to said anchoring
devices and means adapted to form a fluid seal with said envelope,
whereby said shelter may be selectively anchored to said structure
above one of said panels in a fluid sealed relationship to portions
of said envelope bounding said one panel such that when inflated
said shelter provides a weather protection enclosure for workmen on
the exterior of said structure and reduces differential in pressure
across said one panel so as to facilitate repair or replacement
thereof.
10. A structure according to claim 6, wherein said panels include
marginal edge portions and apex portions formed by intersecting
marginal edge portions thereof, said marginal edge portions being
disposed adjacent said cables bounding said interstices and said
apex portions being disposed adjacent said joining means
interconnecting said bounding cables, and said attaching means
includes first means adapted to removably attach said panel
marginal edge portions to said bounding cables and second means
adapted to attach said panel apex portions to said cable joining
means.
11. A structure according to claim 10, wherein said panels include
load transmitting means extending along said marginal edge portions
and through said apex portions thereof, and said first and second
means removably attaching said load transmitting means to said
bounding cables and said cable joining means.
12. A structure according to claim 6, wherein said joining means
comprise an upper plate, a lower plate and two intermediate plates,
said plates being clampingly secured in a stacked relationship by
clamping bolts removably received within aligned plate apertures,
facing surface portions of adjacent plates defining recesses in
which said cables are clampingly secured.
13. A structure according to claim 12, wherein anchoring devices
are adapted to be removably affixed to said upper plates, said
anchor devices extending outwardly of said structure through said
envelope, and said structure additionally includes in
combination:
an air inflated work access shelter, said access shelter being
dimensioned so as to provide an enclosure covering a plan view area
of said envelope in excess of at least one of said panels, said
access shelter including tie-down means removably attachable to
said anchoring device and means adapted to form a fluid seal with
said envelope, whereby said access shelter may be selectively
anchored to said structure above one of said panels in a fluid
sealed relationship to portions of said envelope bounding said one
panel such that when inflated said shelter provides a weather
protection enclosure for workmen on the exterior of said structure
and reduces differential in pressure across said one panel so as to
facilitate repair or replacement thereof.
14. A structure according to claim 13, wherein said seal means
include overlapping flap seal devices carried along marginal edges
of adjacent panels and cap devices, said cap devices being secured
to said joining means, and said anchoring devices extending
upwardly through said cap devices.
15. In an air supported structure of the type including a base
support, an air inflated envelope peripherally attached and sealed
to balloon upwardly above said base support and assume a
predetermined shape having at least a portion of spherical section,
and a cabling system attached to said base support and maintained
in tension by said envelope whereby also to assume said
predetermined shape, the improvement wherein:
said cabling system consists of at least three main cable sections
each anchored at one end to said base support and each extending
from such anchor point to the crown of the spherical section along
a great circle arc thereof, the anchor points of said main cable
sections being spaced to provide included angles between any pair
of adjacent main cable sections, said cabling system including
groups of further cable sections in which the cable sections of
each group are parallel and in which at least some of said groups
are parallel with said three main cable sections, said three main
cable sections and said groups of cable sections being arranged to
provide a network of cable sections criss-crossed to define similar
relatively uniform triangular interstices, and means fixing said
cable sections in said network at all of the points of cable
crossings whereby to limit and control the distribution of stresses
in said envelope within said spherical section; and
said envelope comprising a plurality of triangular panels, each of
flexible material and each aligned with a particular interstice
with which it is associated, attaching means attaching each panel
along its marginal edges to the portions of the intersecting cables
which bound the interstice with which each panel is associated for
obtaining relatively uniform distribution of load in said cables,
and seal means for sealing between marginal edges of adjacent
panels.
16. A large air supported structure of at least spherical sectioned
configuration for use as a stadium cover or the like, comprising in
combination:
a base support for said structure;
a reinforcing cabling system anchored to said base support, said
cabling system being formed of a plurality of cables arranged in an
intersecting relationship so as to define a pattern consisting of
three groups of cables wherein cables within each said group
include a central cable lying along a great circle arc within a
great circle plane passing through the crown of said structure and
secondary cables lying along non-great circle arcs substantially
within secondary planes, each said secondary plane of a group being
arranged at an acute angle with respect to said great circle plane
of said group and intersecting therewith along a substantially
common line spaced from the center of curvature of said structure,
said central cables of said groups intersecting at said crown at
approximately 60.degree. angles, said secondary cables of two of
said groups intersecting with said central cable of a third of said
groups at common points spaced substantially equally apart in a
direction lengthwise thereof such that said groups of cables
cooperate to define substantially equally sized interstices of
triangular shaped configuration, and joining means for fixedly
interconnecting said cables at all points of intersection thereof,
and
an air inflated envelope for supporting said cables above said base
support in an upwardly arched and loaded condition, said envelope
having elements thereof closing said cable interstices and said
envelope being arranged in a substantially fluid sealed
relationship relative to said base support so as to form a
substantially air tight enclosure reinforced by said cabling
system, and attaching means for attaching said envelope to said
cables, whereby to retain said envelope elements in registration
with cable interstices and transfer envelope loads into said cable
system.
17. A large air supported structure of the type having generally
cylindrical center section and generally spherically shaped end
sections for use as a stadium cover or the like comprising in
combination:
a base support for said structure;
a reinforcing cabling system anchored to said base support, said
cabling system being formed of three groups of cables arranged in
an intersecting relationship and fixedly interconnected at common
points of intersection by joining devices such that said cables
cooperate to define interstices of triangular shaped configuration,
one of said groups including a central cable and secondary cables
extending lengthwise of said structure between said spherical end
portions thereof, said central cable of said one group lying within
a plane vertically bisecting said structure through the crowns of
said end sections, said secondary cables of said one group lying
within secondary planes arranged at acute angles with respect to
said bisecting plane and intersecting therewith along a
substantially common line extending lengthwise of said structure
and spaced from the center of curvature thereof, said cables of the
other of said groups of said cables extending in opposite
directions diagonally of said structure and intersecting said
central cable of said one group at common points spaced
substantially equally apart in a direction lengthwise of said
cylindrical section and said end sections, said cables of said
other groups intersecting with said center cable intermediate said
crowns being arranged at substantially 60.degree. angles relative
thereto;
an air inflatable envelope for supporting said cables above said
base support in an upwardly arched and loaded condition, said
envelope having portions thereof closing said cable interstices and
said envelope being arranged in a substantially fluid sealed
relationship to said base support so as to form a substantially air
tight enclosure reinforced by said cabling system, and attaching
means for attaching said envelope to said cables, whereby to retain
said envelope portions in registration with their associated cable
interstices and transfer envelope loads into said cable system.
18. A large air supported structure for use as a stadium cover or
the like comprising in combination:
a base support for said structure;
a cabling system, said cabling system being formed of a plurality
of cables arranged in an intersecting relationship so as to define
a lattice work having interstices of substantially like
configuration and joining means for fixedly interconnecting said
cables at all the points of intersection thereof;
an air inflatable envelope for maintaining said cables above said
base support in loaded condition, said envelope being formed from a
plurality of separate panels formed of flexible air inflatable
material and configured to substantially conform to said
interstices, attaching means for removably and separately attaching
said panels to portions of said cabling system bounding said
interstices, and removable sealing means disposed outwardly of said
cabling system and attaching means for providing a fluid seal
between adjacent envelope panels, said panels individually
representing a relatively small surface area of said envelope;
anchoring devices, said anchoring devices being fixed to said
joining means and extending outwardly of said structure through
said envelope; and
an air inflated work access shelter, said shelter being dimensioned
so as to provide an enclosure outwardly covering a relatively small
portion of said surface area of said envelope sufficient to bound
at least one of said panels, said shelter including tie down means
removably attachable to said anchoring devices and means adapted to
form a fluid seal with said envelope, whereby said shelter may be
selectively anchored to said structure above one of said panels in
a fluid sealed relationship to portions of said envelope bounding
said one panel such that when inflated said shelter provides a
weather protection enclosure for workmen on the exterior of said
structure and reduces differential in pressure across said one
panel so as to facilitate repair or replacement thereof.
19. A large air supported structure having at least a portion of a
spherical section for use as a stadium cover or the like,
comprising in combination:
a base support for said structure;
a cabling system anchored to said base support, said cabling system
being formed of a plurality of pre-stretched cables arranged in an
intersecting relationship so as to define a pattern consisting of
three groups of cables wherein cables within each said group
include a central cable lying essentially along a great circle arc
within a great circle plane passing through the crown of said
structure and secondary cables lying essentially along non-great
circle arcs substantially within secondary planes arranged at acute
angles with respect to said great circle planes of their associated
groups, said central cables of said groups intersecting at said
crown at approximately 60.degree. angles, said secondary cables of
any two of said groups intersecting with said central cable of a
third of said groups at common points spaced apart in a direction
lengthwise thereof whereby said groups of cables cooperate to
define substantially uniformly sized interstices of triangular
shaped configuration, and joining means for fixedly interconnecting
said cables at all points of intersection thereof, and
and air inflated envelope for supporting said cables above said
base portion in an upwardly arched and loaded condition, said
envelope having substantially uniformly sized elements thereof
closing said cable interstices and said envelope being arranged in
a substantially fluid sealed relationship relative to said base
support so as to form a substantially air tight enclosure
reinforced by said cabling system, and attaching means for
attaching said envelope elements to said cables, whereby to retain
said envelope elements in registration with their associated cable
interstices and to permit the development of essentially uniform
cable loadings under envelope inflation pressure.
20. A structure according to claim 19, wherein said envelope is
formed by a plurality of panels of flexible material and of
essentially triangular shaped configuration, each of said panels
defining one of said envelope elements and being marginally
attached to said cables bounding an associated interstice by said
attaching means, and said envelope includes seal means for sealing
between marginal edges of adjacent panels.
Description
BACKGROUND OF THE INVENTION
The stresses developed in an air-supported structure, as a result
of the pressure differential that must be maintained within the
structure in order to pretension and stabilize it sufficiently to
resist wind and snow loads, are directly proportional to the
diameter or size of the structure. In the case of a spherically
shaped envelope structure, the stresses are distributed in an
essentially uniform manner throughout the envelope. However,
superimposed wind or snow loads result in a widely varying pressure
differential across the envelope.
When a spherical envelope is fabricated with a conventional
gore-shaped pattern, which results in tension fibers running in
essentially radial and circumferential directions, the varying
pressure differential and resulting distortion and redistribution
of stress can cause severe stress concentrations. Distortion and
stress concentrations can be controlled by using a bias plied
material, which introduces load carrying fibers at an angle to the
normal direction of the material-normally 45.degree. for
convenience in manufacture, to obtain isotropic characteristics in
the envelope. This method of fabrication results in a much more
dimensionally stable construction, making it practical to build
large air-supported structures, such as the 210 ft. diameter
Telstar radome developed by this inventor to cover the first
satellite communications stations. However, as the fabric stresses
are proportional to the radius of curvature of the envelope,
exceedingly high stresses are developed in the larger domes,
necessitating the use of very costly materials and construction
methods and, accordingly, limiting the economic feasibility of this
type of construction for large dome stadiums or similar
structures.
In order to limit the stresses in the envelope and permit the use
of lower cost materials, various types of strap, rope or cable
reinforcing has been used. Reinforcement duplicating the 45.degree.
bias patterning developement for radomes would be structurally
acceptable but is not economically feasible. Because of the
difficulty of developing a cabling system which would conform to a
spherical contour, attempts at reinforcing spherical envelopes or
the spherical end sections of generally symmetrical air structures
have een largely limited to the use of radial cables joined at the
crown. However, because of the varying width of envelope surface
area acting on the cables, as the cables progress toward the crown,
this arrangement results in a varying normal load on the cables and
consequently severe distortion in the plane of the cables, i.e.,
the structure tends to flatten out at the top and bulge at the
sides in an effort to equalize the loads along the cables. Unless
the envelope is specially patterned, which is difficult to do,
there is little reduction of stress in major sections of the
envelope and the cabling thus fails to accomplish the desired
reduction in stress levels. The flat top is also undesirable as it
tends to trap snow causing additional distortion.
Of even greater concern, particularly for large structures for
which the air structure offers the potential of greatest economic
advantage is that the radial patterning, even with additional
intermediary cables fails to provide the resistance to distortion
and movement needed to achieve the stable configuration required if
air structures are to be used to enclose large areas, such as
stadiums. Conventional radial cabling systems also fail to provide
controlled distribution of stress levels and thus do not
appreciably reduce vulnerability to damage, or the propagation of
any cuts or tears which can result in complete collapse of an air
structure.
These deficiencies in the design of air structures have severely
limited their application for use on large dome structures for
which they potentially offer the greatest economic advantage.
SUMMARY
The present invention has been conceived and developed to overcome
the deficiencies inherent to air-supported structures currently in
use and is directed to large, air supported structures for use in
forming a permanent covering for a large area, such as a stadium or
athletic field having a diameter or width measured in hundreds of
feet.
In the preferred embodiment of the present invention, there is
provided a novel cabling system for a dome structure formed of a
plurality of cables arranged in an intersecting relationship so as
to define a pattern consisting of three groups of essentially
parallel cables, wherein centermost cables of each group intersect
at approximately 60.degree. angles at or near the crown of the
structure. Joining devices are provided for fixedly interconnecting
the cables at their points of intersection, such that the cables of
the three groups cooperate to define on the surface of the
structure interstices approximating equalateral triangles.
In the simplest form of the dome structure, an envelope, which when
inflated supports the full weight of the structure together with
the aerodynamic and snow loads imposed thereon, would be of unitary
construction and disposed inwardly of the cabling system such that
elements thereof protrude outwardly through the cable interstices.
Preferably, the elements are formed with a double curvature
configuration having a radii of curvature substantially smaller
than the radius of curvature of the overall structure so as to
result in low fabric stresses. Also, by forming the panel elements
in this manner there is obtained improved acoustical
characteristics over that inherent in domes having smooth or
relatively uniform surfaces.
The utilization of a lattice work or matrix formed from triangular
cable interstices allows for maximum structural stability of the
dome structure under non-uniform wind or snow loading and also
permits the utilization of continuous cables which may be end
anchored directly to the domed structure base or support. A
continuous cable arrangement simplifies fabrication and erection
procedures and requires that heavy machine fittings be employed
only at the ends of the cables where they are attached to the
support. Simple, clamp-type joining devices may be employed to join
the cables at their points of intersection since maximum load
transfer occurs between cables of the respective groups due to the
fact that the cables are arranged on approximately uniform
continuous arcs with a minimum variation or deviation at the cable
intersections.
The above described cabling system may also be employed in
reinforcing an air supported ellipsoidal shaped structure or one
including a central generally cylindrical section and a pair of
spherically shaped end sections attached thereto. In this instance,
one group of cables would be oriented such that its central cables
would lie within a plane which vertically bisects each of the
sections and the cables of the other groups would extend along arcs
arranged diagonally of the axis of the cylindrical section. The
triangular interstice pattern is continued on the cylindrical
section of the structure by connecting the cables of the other
groups to the central cable of the one group at common points
spaced substantially equally apart in a direction lengthwise of the
cylindrical section in the same fashion as such cables are
connected on the spherical end sections of the structure.
In a specific embodiment of the present invention, the air inflated
envelope is formed from individual panels, which conform
substantially to the interstices of the lattice work defined by the
cables, and are removably joined about their marginal edges to the
cabling system. In this arrangement, the spacing between marginal
edges of adjacent panels is fluid sealed by sealing devices which
are preferably accessible exteriorly of the structure. The envelope
panels, when employed within a lattice work or matrix of the type
described above, are approximately equal in size such as to permit
the development of essentially uniform cable loadings under normal
envelope inflation pressures. Since these individual triangular
envelope panels under normal inflation pressure provide for the
transfer of essentially uniform loadings to or tensioning of their
bounding cables, the cables of the cabling system of the present
invention are subjected to relatively uniform loadings or
tensioning conditions throughout their lengths, thereby minimizing
distortion of the cables within their respective planes. This is to
be contrasted with above mentioned conventional structures having
radially extending cables joined at the crown of the structure
wherein envelope inflation pressure produces non-uniform loading or
tensioning conditions along the lengths of the cables, and thereby
results in distortions of the cables within their respective planes
and accompanying undesired flattening and bulging of the surface of
the structure. Also, the cabling arrangement results in a series of
duplications of identically sized interstices with the result that
manufacture and installation of the panels is facilitated.
By providing removable envelope panels, the overall vulnerability
of the structure to damages substantially decreased since damage to
any given panel will not be propagated into adjacent panels.
Furthermore, even though panels having edge dimensions of 50 or
more feet may be used in structures having diameters on the order
of 600 feet which are required to cover large stadiums or athletic
fields, such panels would be sufficiently small with respect to the
overall surface area of the structure. With the low, controlled
stress levels maintained, the air losses through any openings
likely to develop would be small and the structure would remain
erect even with one or more panels severely damaged, thus making
the air structure suitable for use as a permanent roof on large
structures.
Further, in accordance with the present invention, suspension
devices may be affixed to the cable joining devices so as to permit
suspension of an acoustical and/or thermal liner or equipment, such
as lighting fixtures from the roof of the domed structure with a
minimum of distortion.
A particularly important feature of the present invention is the
provision of an inflatable work access shelter, which is adapted to
be mounted on the exterior surface of the structure and be
removably attachable thereto by anchoring devices carried by the
cabling system; the work access shelter when inflated affords a
weather proof shelter for workmen and permits repair or removal of
individual panels forming the envelope without escape of envelope
supporting air. Furthermore, use of the shelter permits
equalization of pressure across the panel over which it is
positioned in order to relieve the tension on the panel and
facilitate its repair or replacement.
In accordance with an alternative embodiment of the present
invention, the cabling system is defined by main or central load
carrying cables arranged so as to divide a domed structure when
viewed in plan into 45.degree. segments. A secondary cabling system
is formed such that in each segment a first and second set of
cables run essentially parallel to the two main cables bounding the
segment and a third set of essentially parallel cables extend
between the two main cables from the points of intersection thereof
with the cables of the first and second sets. By connecting the
cables of the secondary system to each other and to the main cables
at their points of intersection, there is provided essentially
uniform triangular interstices. However, with this cabling system,
except on smaller structures, angular variation or deflection of
the cables of the secondary system at their points of intersection
with the main cables, prevents effective use of cables which are
continuous through adjacent segments. As a result, relatively
costly machine fittings must be employed to join the ends of cables
of the secondary system to the main cables in place of relatively
inexpensive clamps, which serve to connect the cables of the
secondary system to each other.
DRAWINGS
The air supported structure according to the present invention will
now be described in detail, making particular reference to the
accompanying drawings wherein:
FIG. 1 is an enlarged perspective view of a large air supported
structure formed in accordance with the present invention;
FIG. 2 is a perspective view similar to FIG. 1, but viewed from a
different angle;
FIG. 3 is a side elevational view of the structure shown in FIG. 2
and illustrating the relative disposition of cables of one group
forming the cabling system;
FIG. 4 is a side elevational view illustrating the large domed
structure of the present invention installed as a permanent
covering over an athletic stadium or the like;
FIG. 5 is a top plan view of the structure shown in FIG. 4;
FIG. 6 is an enlarged fragmentary view within the area designated
as 6 in FIG. 4, with portions broken away for clarity;
FIG. 7 is an enlarged fragmentary view of the area designated as 7
in FIG. 6;
FIG. 8 is a sectional view taken generally along the line 8--8 in
FIG. 7;
FIG. 9--9b are sectional views taken generally along the line 9--9
in FIG. 6 and showing various devices susceptible for use in
attaching envelope panels to the cabling system;
FIG. 10 is a perspective view of a clip device adapted to connect
the envelope panels to the cable joining devices;
FIG. 11 is a perspective view illustrating an inflated work access
structure anchored to the exterior of the domed structure;
FIG. 12 is a sectional view taken generally along the line 12--12
in FIG. 11;
FIGS. 13 and 13a are fragmentary views illustrating various
arrangements, which may be employed to detachably anchor the
inflated work access structure to the cable joining devices;
FIG. 14 is a fragmentary plan view illustrating an alternative
envelope panel configuration adapted to be employed with a cabling
system of the type illustrated in FIG. 4;
FIG. 15 is a top plan view illustrating an alternative cabling
system;
FIG. 16 is an enlarged view of the area designated as 16 in FIG.
15;
FIG. 17 is an end elevational view of the joining device shown in
FIG. 16;
FIG. 18 is a top plan view showing the utilization of the cabling
system of the present invention in forming an air supported
structure of the type having a cylindrical section and a pair of
spherically shaped end sections;
FIG. 19 is a side elevational view of the structure shown in FIG.
18; and
FIG. 20 is a view showing a modified form of the dome structure
shown in FIGS. 1--3.
DETAILED DESCRIPTION
Now referring particularly to FIGS. 1, 2 and 3, it will be
understood that the large, air supported structure according to the
present invention, which is generally designated as 1, is in the
form of a spherically shaped dome adapted to provide a permanent
cover for a stadium or athletic field, not shown, having a diameter
or width measured in hundreds of feet. The structure may be
provided, if desired, with a relatively large access opening in the
form of an air lock 2 for vehicles or the like and relatively
smaller personnel access openings 3, which are air sealable by
conventional means, such as revolving doors.
Structure 1 generally includes an air inflated envelope 4, suitably
sealed relative to the ground or structure support, and a cabling
system 5, the envelope when inflated being adapted to support the
full weight of the structure, together with the aerodynamic and
snow loads imposed thereon, and the cabling system being adapted to
both transmit loading from the envelope into the ground or other
structure support or base and maintain the envelope in a desired
configuration. Envelope 4, when inflated may be considered as
ballooning upwardly over the base support, whereby to support
cabling system 5 in an upwardly arched and loaded or tensioned
condition, as will be apparent from viewing for instance FIGS. 1
through 4.
In accordance with the preferred embodiment of the present
invention, cabling system 5 is formed from a plurality of cables
arranged in an intersecting relationship, so as to define a
pattern, lattice work or matrix consisting of three groups of
essentially parallel cables 6, 7 and 8, attached together at their
points of intersection by cable joining devices 9, which will be
more fully hereinafter described. As will be best seen by viewing
FIGS. 2 and 3 in the case of cable group 6, the cables within the
three groups include a central-most, center or main cable 6a, which
lies along a great circle arc within a great circle plane 6a'
passing through the crown of structure 1, and secondary cables 6b,
which lie along non-great circle arcs substantially within
secondary planes 6b'. Planes 6b' are arranged at an acute angle
with respect to great circle plane 6a' and intersecting therewith
along substantially a common line, not shown, spaced vertically
below the center of curvature R of structure 1. The central cables
6a-8a intersect at the crown of structure 1 at approximately
60.degree. angles so as to divide the surface of structure 1 into
six equal segments. The secondary cables, for example 7b and 8b,
intersect with the central cable of the other group, for example
cable 6a, at common points spaced substantially equally apart in a
direction lengthwise thereof. As a result, the cables of groups 6-8
cooperate to define a lattice work or matrix of interstices 10,
which approximate equalateral triangles, which are uniformly
distributed over the surface of the structure. It will be
understood that although interstices 10 vary slightly in size in a
direction outwardly away from the crown of the structure, there are
however, a series of duplications of identically sized interstices
and the whole of such interstices may be considered as being of
relatively uniform size.
The cabling system, as thus far described, is a particularly
important feature of the present invention, since it allows the
cables of groups 6-8 to extend continuously across the surface
structure 1 and be anchored at their respective ends to the ground
or other structure base or support, not shown. Otherwise, expensive
and relatively heavy machine fittings, of the type conventionally
provided to ground anchor the ends of the respective cables, would
have to be provided at each cable intersection with the result that
the overall cost and difficulty of erecting the structure would be
substantially increased.
In its simplest form, envelope 4 is of unitary construction and
disposed inwardly of the cabling system such that generally
triangularly shaped elements of the envelope protrude outwardly
through cable interstices 10. As best shown in FIG. 1, the envelope
elements are preferably formed with a double curvature
configuration, whose radii of curvature is substantially smaller
than the radius of curvature of structure 1. By forming the
envelope elements in this manner lower fabric stresses are
encountered, than would be the case if the envelope elements were
to conform to a smooth spherical contour. An envelope suitable for
use in this arrangement, particularly when used on relatively small
domes, would be of material of limited stretchability, which would
be shaped by inflation pressures to deform or balloon outwardly
through the cable interstices. Alternatively, the individual
envelope elements could be fabricated from a plurality of contoured
panel elements edge joined to each other to permit the element to
acquire its desired curvature configuration upon inflation of the
envelope. In these arrangements, the envelope would preferably be
fixably attached to the cabling system, so as to assure transfer of
envelope loads into the cables and to prevent propagation of rips
and tears from one panel element to another.
In FIG. 4, structure 1 is shown as being modified by positioning
cabling system 5 inwardly of envelope 4 and as being installed as a
permanent covering over a circular or bowl shaped stadium 21 having
tiers of seats 22 and any desired number of suitable access
openings, not shown. A suitable anchoring arrangement for structure
1 may be provided by a ring of girders or truss member 23,
positioned peripherally of stadium 21 above the uppermost tier of
seats. While in this instance, the ring of girders or trusses 23
would preferably form the base or support of structure 1, cables of
groups 6-8 could however be directly anchored to the ground. A
suitable cover device 24 would be provided to form a suitable
weather and air seal interconnecting structure 1 to stadium 21.
Cable joining devices 9 are best shown in FIGS. 7 and 8 as
including top and bottom cable clamping plates or discs 37 and 38,
respectively, and a pair of identically configured intermediate
cable clamping plates or discs 39. Plates 37, 38 are each provided
on one surface thereof with transversely extending generally
semi-circular cable receiving recesses or grooves 41, 42, centrally
disposed threaded openings 43, 44 and annularly arranged equally
spaced through bore openings 45, 46, respectively. Intermediate
plates 39 are each provided with a pair of transversely extending
semi-circular cable receiving recesses or grooves 47a, 47b, which
are disposed on opposite sides of such plates in substantially a
60.degree. offset relationship, and six annularly arranged equally
spaced through bore openings 49. When plates 37-39 are arranged in
the manner shown in FIG. 8, such that grooves 41, 47a are aligned
to receive cable 8, grooves 47b, 47a of adjacent intermediate
plates are aligned to receive cable 7, and grooves 47b, 42 are
aligned to receive cable 6 and plate bore openings 45, 46 and 49
are aligned for receipt of clamping bolts 51. Preferably, the
grooves are patterned to accommodate for slight angular variation
in alignment between intersecting cables, so as to permit a single
clamping device configuration to be employed for joining cables at
all points of intersection thereof throughout the cabling
system.
Bolts 51 are threadable into nuts 52 for the purpose of clamping
plates 37-39 together, such that cables 6-8 are in turn attached
together at their point of intersection so as to provide an angular
spacing between adjacent cables of substantially 60.degree..
Preferably, nuts 52 are welded or otherwise affixed to the lower
surface of bottom plate 38 in alignment with openings 46, so as to
permit bolts 51 to be threadably secured in clamping position
without need for gaining access to the interior of the domed
structure. Alternately, nuts 52 may be dispensed with and bottom
plate opening 46 threaded to receive bolts 51. As a further
alternative, fully threaded rods may be substituted for bolts, so
that pairs of nuts can be used to securely clamp cables between
mating pairs of plates.
Threadably received within top and bottom plate openings 43, 44 are
eye shaped anchoring and suspending bolts 53, 54, respectively,
whose purpose will hereinafter be more fully described.
Now referring particularly to FIG. 6, it will be understood that in
the preferred embodiment of the present invention envelope 4 is
formed by a plurality of triangular panels 60, which are
dimensioned so as to substantially conform with the interstices 10
defined by groups of cables 6-8 and attached to their respective
bounding cables to provide for transfer of envelope loads into such
cables. Since, as mentioned above, interstices 10 are formed in a
series of duplicate sizes, only a limited number of differently
sized panels need be employed. Furthermore, in structures of the
type shown in FIGS. 1 and 4, wherein only a relatively small
portion of a spherical surface is used in forming the dome,
interstices 10 are of substantially equal size, thereby permitting
a single sized panel to be effectively used within the interstices
without encountering substantial variations of stress levels within
the several panels. Also, in structures of this type, inflation
pressures on the envelope panels or elements tends to produce
relatively uniform loading of the several cables throughout their
lengths in order to minimize distortion of the surface of the
structure from its essentially spherical configuration.
Preferably, as mentioned above in connection with the unitary
envelope construction, panels 60 are fabricated to provide a double
curvature configuration when inflated, which has substantially
smaller radii of curvature than the radius of curvature of the
dome. This permits a reduction in the maximum stress in the
envelope material, since the smaller the radius, the lower the
load. Patterning of the envelope panels in this manner results in a
flatwise pattern size, which is substantially greater than the size
of the interstices formed by the cables.
For purposes of illustration, panels 60 are shown as being provided
with reinforcing means, such as rope or cable edging 61, which is
continuous along the marginal edges of the panels. Rope edging 61
facilitates attachment of the panels to the cabling system, while
minimizing stress concentrations at the points of panel
attachment.
Representative of devices having utility in attaching panels 60 to
the cabling system are those designated as 65-65b in FIGS. 9-9b,
respectively. Attaching device 65 is in the form of a rope or cable
67, which is laced through apertures 68 of adjacent panels, such
that intermediate portions of the rope are looped about the
supporting cable. Apertures 68 are positioned adjacent rope edging
61 and arranged in an equally spaced relationship lengthwise of the
marginal edges of the panels. The ends of rope 67 may be suitably
tied or clamped together in any suitable manner, not shown, after
the lacing operation has been completed. This arrangement permits a
considerable degree of adjustability of the panel and when desired
permits panels of slightly differing size to be used in the same
interstice in order to further reduce the number of panel sizes
necessary for forming a given dome structure.
In FIG. 9a, attaching device 65a is shown as being in the form of a
generally U-shaped clip 69, which is formed to provide an enlarged
base portion 70 adapted to clamp over cable 6 and end socket
portion 71 adapted to releasably receive rope edging 61. Rope
edging 61 may be clampingly secured within socket 71 by tightening
a bolt 72, which is adapted to be threadably received within nut
73. Preferably, nut 73 is weld or otherwise affixed to the clip so
as to permit the rope edging to be clamped or released from a
position exteriorly of the structure. It will be understood that
clamping devices 65a, which are employed to secure adjacent panels
to cable 6, are staggered lengthwise of the cable between adjacent
joining devices 9 and are made in a width and provided in
sufficient number so as to insure that the transfer of load from
the panels to the cable is substantially uniform along the facing
marginal edges of the adjacent panels.
In FIG. 9b, attaching device 65b is shown as being in the form of
wire clips 75, which are bent around cable 6 and have their
respective ends passed through apertures 68 and thereafter deformed
as at 76a, 76b. As in the case of attaching devices 65a, devices
65b are staggered along cable 6 between joining devices 9.
Referring particularly to FIGS. 7 and 8, it will be understood
that, in order to insure against movement of the marginal edges of
panels 60 lengthwise of their adjoining cables, to position the
panels properly within the cable interstices and to maintain
tension on the rope edging 61 in order to obtain uniform
distribution of load in the panel, the apexes of the panels are
connected to cable joining devices 9. The preferred mode of
attaching the panel apexes to cable joining devices 9 is to employ
generally U-shaped clip devices 80 of the type shown in FIG. 10
having aligned through bore openings 81 adapted to freely receive
clamping bolts 51. Referring particularly to FIGS. 8 and 10, it
will be understood that a panel apex may be attached to a cable
clamping device 9 by first positioning rope edging 61 within the
base of clip device 80 and thereafter employing clamping bolt 51 to
secure the clip device either in a straddled relationship to one of
the stacked plates or between adjacent plates forming cable joining
device 9 in a position located centrally of adjacent cables. It
will be understood that by providing each of the cable clamping
devices with a plurality of clamping bolts 51, one or more may be
temporarily removed as necessary to permit replacement of a damaged
or worn panel without reducing the capability of such joining
device to maintain the cables attached at their point of
intersection.
While panels 60 have been described as being attached at their
apexes to joining devices 9, it will be understood that this
arrangement is unnecessary where cable affixed devices, not shown,
are provided to clampingly engage substantially the entire edge of
each panel so as to prevent stress concentrations occurring therein
and constrain the panel edge from movement lengthwise of its
bounding cable.
Again referring to FIGS. 6, 8 and 9-9b, it will be understood that
installation of envelope 30 is completed by edge seal devices 90,
which serves as flashing and forms a fluid seal between marginal
edges of adjacent panels 60, and cap seal devices 91, which form a
fluid seal about each of cable joining devices 9. Seal devices 90,
which are made of a flexible material similar to that used in
panels 60, are shown for purposes of illustration as consisting of
edge flaps 93, which are permanently affixed to panels 60 as by
stitching, adhesive or heat sealing at 94. A suitable fluid seal is
completed between flaps 93 by adhesive, as indicated at 95 in FIG.
9, or by mechanical devices, such as clip device 96, shown only in
FIG. 9a.
Cap seal devices 91 are shown as being in the form of flexible
coated fabric discs, which are preferably cut from the fabric from
which panels 60 are formed, and centrally apertured as at 97 to
receive anchoring bolt 53. Cap seal devices 91 are sealably joined,
as by adhesive, peripherally thereof to seal devices 90 on panels
60 to complete sealing of the envelope.
Panels 60', which peripherally bound the envelope, may be affixed
and sealed with respect to sealing device 25 by any conventional
clamping device, not shown.
The structure shown in FIG. 4 may be assembled by first installing
pre-stretched cables between appropriate anchor points on the ring
of girders or truss members 23, in such a manner as to allow the
cables to drape downwardly into the stadium. The attaching devices
would then be installed at each cable intersection at positions or
points previously marked on the respective cables. Alternatively,
where space permits, the cabling system could be assembled by
laying the groups of cables on the ground and thereafter connecting
same together prior to raising the cabling system into position for
attachment on the ring of girders. Thereafter, conventional
scaffolding or cranes could be employed to lift the panels and hold
them in place during attachment thereof. After attachment of the
panels, sealing device 90 would be joined so as to provide an
essentially air tight envelope. The envelope would then be inflated
and necessary adjustments be made in the cables and position of the
panels to insure proper alignment of parts. It will be understood
that by the utilization of pre-stretched cables, the cabling system
is not readily susceptible to stretching under load with the result
that the cabling system tends to become rigid under envelope
inflation pressures. The greater the pre-load imposed on the
cabling system as a result of envelope inflation pressure, the less
likelihood there is that the surface of the structure will deform
under non-uniform loading conditions, such as produced by high wind
and snow loadings. The envelope would be fully air sealed by the
attachment of cable sealing device 91.
Preferably, a hoisting arrangement would be used, which consists of
platforms arranged in an essentially triangular configuration and
suspended from the cable clamping devices. These platforms would be
arranged to support the panels as they are raised into position and
clamped, and would be disposed so that they could be moved readily
from one support point to another throughout the cabling
system.
When structure 1 is to be anchored directly to the ground or some
other non-elevated base or support, as shown in FIG. 1, it may be
assembled by a procedure wherein the cables are laid out on the
ground, interconnected in their desired pattern, the panels
attached to the cables and the various sealing devices fixed in
place. Subsequently, the envelope would be inflated to elevate the
cabling system above the base support and air support the
structure. In an instance wherein the envelope is of unitary
construction, the envelope would be placed upon the ground prior to
laying out the cables. The resultant structure may have diameters
measured in hundreds of feet with panels having marginal edges
measured in tens of feet.
Preferably, simultaneously with the attachment of panels 60,
support cables or the like, not shown, would be attached to
suspension bolts 54 to facilitate subsequent placement of desired
equipment, such as liners, sound equipment, lighting devices, etc.,
which are to be suspended from the completed dome structure.
To facilitate replacement or repair of any of panels 60, there is
provided a generally hemispherically shaped air inflatable work
access shelter 100 employed to facilitate replacement or repair of
panels 60. The work access shelter would be essentially at air
supported shelter consisting of an envelope 101, which is joined to
a tie down cabling system 102 having six arcuate cable sections,
whose adjacent ends are anchorable to cable joining devices by
anchoring bolts 53. In the arrangement illustrated, shelter 100 is
sized so as to fully cover only one of panels 60 and the alternate
junctions of the cable sections are anchored to the three cable
joining devices adjacent the apexes of such panel. The remaining
junctions of the cable sections are connected by cables 103 to
joining devices disposed intermediate the apexes of the panel. It
will be understood, however, that the size and attaching
arrangements of shelter may be varied, as desired.
As in conventional air inflated structures, envelope 101 may be
provided with an access door 104 and be air sealed with respect to
dome envelope 4 by circumferentially extending inturned sealing
flap 105.
Various cable section designs and arrangements for attaching same
to anchoring bolts 53 are susceptible of use. As by way of
illustrating, however, reference may be had to FIG. 13, wherein the
cable sections are shown as being continuous webbing and the
arrangement for attaching same to anchoring bolts 53 is shown as
being a conventional hook device 106. Alternatively, as indicated
in FIG. 13a, the cable sections may be formed from separate cables
attached to a bolt 107.
It will be understood that when one of panels 60 must be replaced
due to damage or wear, workmen would climb onto the top of the dome
using suitable safety harnesses attached to cable joining devices
9. The replacement panel would be hoisted into position and placed
over the panel to be replaced. Shelter 100 would then be attached
in place above the defective panel by means of anchoring bolts 53.
Suitable guide or emergency ropes, which may be permanently or
temporarily attached to anchoring bolts 53, may be provided to
facilitate movement of the workmen and materials onto the dome and
prevent their falling through an open cable interstice when a panel
is removed therefrom. An ancillary air blower, not shown, may be
employed to initially inflate shelter 100, or in the alternative,
the seal devices 90 around the defective panel would be opened to
allow air from inside the dome to inflate the shelter. After
anchoring and inflating shelter 100, the defective panel could be
removed, while simultaneously attaching the replacement panel,
without any further loss of air from the dome, and the workmen
would be able to perform their duties therein fully protected from
external weather conditions.
Alternatively, the defective panel may be first removed by
separating its sealing flaps 93 from those of adjacent panels and
from adjacent cap seal devices 91. Thereafter, the defective panel
would be detached from the adjacent cables 6-8 and cable joining
devices 9, and when fully detached lowered by suitable means, not
shown, onto the floor of stadium 21. The panel installation
platforms could then be employed to elevate a replacement panel
into position under shelter 100, whereafter such panel would be
attached in place, as described above, and the shelter removed.
Reference is now made to FIG. 14, wherein there is illustrated a
modified envelope configuration formed of diamond shaped panels
120. Panels 120 may be attached to the cabling system in the same
manner described with reference to panels 60, except that panels
120 are not attached to cables extending transversely or diagonally
of the panels in each sixty degree segment of the dome. Thus, it
will be understood that panels positioned in segments I-IV,
segments II-V, and segments III-VI, are unattached to cables 6, 7
and 8, respectively. This panel arrangement is particularly
advantageous when interstices 10 are relatively small.
In FIG. 15, a modified cabling system is illustrated, wherein four
central or main cables 132a-132d are joined at the crown or center
of the dome by means of a ring or load plate, not shown, such as to
divide the dome when viewed in plan into eight equal sized
segments. The cabling system is completed by a secondary cabling
system formed from eight sets of secondary cables 134, which are
connected at their respective ends to the main cables by joining
devices 137 and to a truss ring or the like, not shown, by
conventional machine fittings. Secondary cables 134 are connected
to each other intermediate their respective ends by joiner devices
9', which are similar in construction to that shown in FIGS. 7 and
8.
By again referring to FIG. 15, it will be seen that in any given
segment of the domed surface, two sets of essentially parallel
secondary cables, for example 134a and 134b, are arranged
essentially parallel one to each of a pair of segment bounding main
cables, for example 132a, 132b, and intersect the other of the pair
of bounding cables and each other. A third set of secondary cables,
for example cables 134c, extend between the pair of main bounding
cables from adjacent their point of intersection with sets of
cables 132a, 132b and intersect with such sets of cables at the
points of intersection thereof.
Joining devices 137 are shown in FIGS. 16 and 17 as including a
pair of plates 138a, 138b having facing recesses 139a, 139b adapted
to clampingly receive one of main cables 132a-132d. Bolts 140,
which pass through the plates 138a and 138b, serve both to
clampingly secure the plates on its main cable and to receive an
eye type machine fitting 141 carried on the ends of the secondary
cables. If desired, joining devices 137 may be fitted with clip
devices 80 for the purpose of attaching triangular shaped panels of
the envelope construction described above in reference to FIG. 4.
However, envelopes of the type discussed above with reference to
FIG. 1 may be employed with the cabling system shown in FIG.
15.
FIGS. 18 and 19 illustrate the manner in which the cabling system
of FIGS. 1 and 4 may be employed in forming an air supported
structure of ellipsoidal configuration or one having a pair of
spherically shaped end sections 144, 144' joined to a central
section 145. In this structure, the central cable 6a of one of the
groups of cables forming the system lies within a plane which
vertically bisects each of sections 144, 144' and 145; secondary
cables 6b being positioned in the end sections in the manner shown
in FIG. 2, and lying along straight lines extending lengthwise of
the cylindrical surface of central section 145. The main cables
7a-8a', which are arranged to intersect with central cable 6a at
the crowns of the end sections continue onto the cylindrical
surface of the central section, such as to extend diagonally of the
axis thereof. By assuring that the secondary cables 7b-8b'
intersect central cable 6a at common, equally spaced points
lengthwise thereof throughout both the end and cylindrical
sections, the cylindrical section cable interstices are equalateral
triangles approximating the size of the interstices formed in the
end sections.
When employing the cabling system illustrated in FIGS. 18 and 19,
the air inflated envelope 4 may be of any desired construction, and
arranged either interiorly or exteriorly of the cabling system.
FIG. 20 illustrates how the cabling system of the preferred
embodiment of the present invention may be modified to produce a
six sided domed structure. In this construction, the sides of the
domed structure are defined by vertically rising walls or the like
150, whose upper surface follows the arc defined by secondary
cables 6b-8b. The ends of the cables may be fixed in a suitable
manner to the upper surfaces of walls 150. Alternatively, the ends
of the cables may be fixed to vertically raising trusses or
extended to the ground, and wall 150 formed as a non-load bearing
member, such as a curtain, whose primary purpose is to provide an
air seal. Walls 150 serve to both fluid seal the dome with respect
to the ground and to afford convenient locations for access
openings into the domed structure.
Various modifications of the above described embodiments will
likely occur to those skilled in the art. Exemplary thereof, would
be to modify the preferred embodiment of the cabling system by
displacing the centralmost cables thereof from the center or crown
of the dome, so as to place the center of one triangular interstice
at the center of the crown. In this arrangement the centralmost
cables would not lie along great circle arcs and there would be
produced a lack of symmetry between opposing sides of the
structure, which might be desirable in the case of sloping
terrain.
* * * * *