U.S. patent number 3,884,359 [Application Number 05/066,969] was granted by the patent office on 1975-05-20 for level luffing crane.
This patent grant is currently assigned to Hopper, Inc.. Invention is credited to Don Suverkrop.
United States Patent |
3,884,359 |
Suverkrop |
May 20, 1975 |
**Please see images for:
( Certificate of Correction ) ** |
Level luffing crane
Abstract
An articulated crane has an inner boom pivoted on a supporting
base, an outer boom pivotally mounted on the inner boom, and a pair
of hydraulic cylinder assemblies, one for moving each of the booms,
respectively. The hydraulic cylinder assemblies may be
interconnected when desired to coordinate their simultaneous
movement, and they are so positioned with respect to the boom
pivots that their coordinated movement causes the outer end of the
outer boom to travel substantially horizontally.
Inventors: |
Suverkrop; Don (Bakersfield,
CA) |
Assignee: |
Hopper, Inc. (Bakersfield,
CA)
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Family
ID: |
26747359 |
Appl.
No.: |
05/066,969 |
Filed: |
August 26, 1970 |
Related U.S. Patent Documents
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Application
Number |
Filing Date |
Patent Number |
Issue Date |
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779403 |
Nov 27, 1968 |
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Current U.S.
Class: |
212/289; 212/238;
212/256; 212/349 |
Current CPC
Class: |
B66C
13/18 (20130101); B66C 23/10 (20130101); B66C
2700/0307 (20130101) |
Current International
Class: |
B66C
13/18 (20060101); B66C 23/00 (20060101); B66C
23/10 (20060101); B66c 023/54 () |
Field of
Search: |
;212/8,35,55,59,144 |
References Cited
[Referenced By]
U.S. Patent Documents
Foreign Patent Documents
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890,736 |
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Mar 1962 |
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GB |
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1,052,658 |
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Mar 1959 |
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DT |
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1,125,981 |
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Sep 1968 |
|
GB |
|
6,618,469 |
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Jul 1968 |
|
NL |
|
588,899 |
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Jun 1947 |
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GB |
|
Primary Examiner: Marbert; James B.
Attorney, Agent or Firm: Lyon and Lyon
Parent Case Text
This is a continuation-in-part of my copending application Ser. No.
779,403, filed Nov. 27, 1968 for Level Luffing Crane.
Claims
I claim:
1. An articulated crane, comprising in combination: a base member,
an inner boom, pivot means mounting said inner boom on the base
member, an outer boom pivotally mounted on the inner boom, means
including a first extensible hydraulic cylinder assembly for
independently swinging said inner boom with respect to said base
member in an arc on both sides of the vertical position, said
assembly defining a first effective lever arm with respect to said
pivot means, means including a second extensible hydraulic cylinder
assembly for independently swinging said outer boom with respect to
said inner boom, said second assembly defining a second effective
lever arm with respect to the pivotal mounting of the outer boom,
said booms being movable in a traverse from an extended position in
which the inner boom inclines upward on one side of the vertical
and the outer boom extends further to the same side thereof and the
angle between the booms being less than 180 degrees, to a retracted
position in which the inner boom inclines upward on the other side
of the vertical and the outer boom extends to the first mentioned
side thereof, the positions of the booms, hydraulic cylinder
assemblies, and pivotal connections being such that ##EQU26##
where: D.sub.1 = horizontal reach of the booms when extended
D.sub.2 = horizontal reach of the booms when retracted
L.sub.1 = effective lever arm of said first hydraulic cylinder
assembly extended
L.sub.2 = effective lever arm of said first hydraulic cylinder
assembly retracted
l.sub.1 = effective lever arm of said second hydraulic cylinder
assembly extended
l.sub.2 = effective lever arm of said second hydraulic cylinder
assembly retracted
the cylinder assemblies being sized according to the relation
P.sub.1 V.sub.1 .congruent. P.sub.2 V.sub.2
where:
P.sub.1 = unit pressure in first hydraulic cylinder assembly at a
given instant
P.sub.2 = unit pressure in second hydraulic cylinder assembly at
the same instant
V.sub.1 = displacement volume of the first hydraulic cylinder
assembly during said traverse
V.sub.2 = displacement volume of the second hydraulic cylinder
assembly during said traverse
and hydraulic means interconnecting said hydraulic cylinder
assemblies to coordinate their simultaneous action to cause the
outer end of the outer boom to move substantially horizontally and
above the level of said pivot means.
2. The device set forth in claim 1 in which l.sub.2 = l.sub.1.
3. The device set forth in claim 1 in which the means
interconnecting the hydraulic cylinder assemblies is such that as
one retracts the other extends, and vice versa.
4. An articulated crane, comprising in combination: a base member,
an inner boom, pivot means mounting said inner boom on the base
member, an outer boom pivotally mounted on the inner boom, means
including a first extensible hydraulic cylinder assembly for
independently swinging said inner boom with respect to said base
member in an arc on both sides of the vertical position, said
assembly defining a first effective lever arm with respect to said
pivot means, means including a second extensible hydraulic cylinder
assembly for independently swinging said outer boom with respect to
said inner boom, said assembly defining a second effective lever
arm with respect to the pivotal mounting of the outer boom, said
booms being movable in a traverse from an extended position in
which the inner boom inclines upward on one side of the vertical
and the outer boom extends further to the same side thereof and the
angle between the booms being less than 180.degree., to a retracted
position in which the inner boom inclines upward on the other side
of the vertical and the outer boom extends to the first mentioned
side thereof, the ratio of the effective lever arm of the second
hydraulic cylinder assembly to the effective lever arm of the first
hydraulic cylinder assembly increasing as the booms move along the
traverse away from extended position toward retracted position, and
means interconnecting said hydraulic cylinder assemblies to
coordinate their simultaneous action so that one retracts as the
other extends, and vice versa, to cause the outer end of the outer
boom to move substantially horizontally and above the level of said
pivot means.
5. The combination set forth in claim 4 in which the hydraulic
cylinder assemblies are proportioned so that they require the same
volume of hydraulic fluid to complete their full strokes,
respectively.
6. The combination set forth in claim 4 in which each hydraulic
cylinder assembly has a piston end, and wherein said hydraulic
means includes a valve-controlled passage connecting the piston
ends of both hydraulic cylinder assemblies, for transfer of
hydraulic fluid from one to the other.
7. The combination set forth in claim 4 in which an extension boom
is telescopically mounted on said outer boom, and sheave means at
one end of said extension boom.
8. The combination set forth in claim 7 in which full retraction of
the second hydraulic cylinder assembly serves to swing the outer
boom to a folded position under the inner boom.
9. The combination set forth in claim 4 in which
P.sub.1 V.sub.1 .congruent. P.sub.2 V.sub.2
where
P.sub.1 = unit pressure in first hydraulic cylinder assembly at a
given instant;
P.sub.2 = unit pressure in second hydraulic cylinder assembly at
the same instant;
V.sub.1 = displacement volume of the first hydraulic cylinder
assembly during said traverse;
V.sub.2 = displacement volume of the second hydraulic cylinder
assembly during said traverse.
10. An articulated crane, comprising in combination: a base member,
an inner boom, pivot means mounting said inner boom on the base
member, an outer boom pivotally mounted on the inner boom, means
including a first extensible hydraulic cylinder assembly for
swinging said inner boom with respect to said base member in an arc
on both sides of the vertical position, means including a second
extensible hydraulic cylinder assembly for independently swinging
said outer boom with respect to said inner boom, said booms being
movable between an extended position and a retracted position, in
extended position the inner boom including upward on one side of
the vertical and the outer boom extending further to the same side
thereof, and the angle between the booms being less than
180.degree., in retracted position the inner boom inclining upward
on the other side of the vertical and the outer boom extending to
the first mentioned side thereof, the effective lever arm of the
first hydraulic cylinder assembly remaining substantially constant,
and the effective lever arm of the second hydraulic cylinder
assembly increasing as the booms move away from extended position
toward retracted position, and hydraulic means interconnecting said
hydraulic cylinder assemblies to coordinate their simultaneous
action to cause the outer end of the outer boom to move
substantially horizontally and above the level of said pivot
means.
11. An articulated crane, comprising in combination: a base member,
an inner boom, pivot means mounting said inner boom on the base
member, an outer boom pivotally mounted on the inner boom, means
including a first extensible hydraulic cylinder assembly for
independently swinging said inner boom with respect to said base
member in an arc on both sides of the vertical position, said
assembly defining a first effective lever arm with respect to said
pivot means, means including a second extensible hydraulic cylinder
assembly for independently swinging said outer boom with respect to
said inner boom, said second assembly defining a second effective
lever arm with respect to the pivotal mounting of the outer boom,
said booms being movable between an extended position and a
retracted position, in extended position the inner boom inclining
upward on one side of the vertical and the outer boom extending
further to the same side thereof, and the angle between the booms
being less than 180.degree., in retracted position the inner boom
inclining upward on the other side of the vertical and the outer
boom extending to the first mentioned side thereof, the effective
lever arm of the second hydraulic cylinder assembly remaining
substantially constant, and the effective lever arm of the first
hydraulic cylinder assembly decreasing as the booms move away from
extended position toward retracted position, and hydraulic means
interconnecting said hydraulic cylinder assemblies to coordinate
their simultaneous action to cause the outer end of the outer boom
to move substantially horizontally and above the level of said
pivot means.
12. An articulated crane, comprising in combination: a base member,
an inner boom, pivot means mounting said inner boom on the base
member, an outer boom pivotally mounted on the inner boom, means
including a first extensible hydraulic cylinder assembly for
swinging said inner boom with respect to said base member in an arc
on both sides of the vertical position, means including a second
extensible hydraulic cylinder assembly for independently swinging
said outer boom with respect to said inner boom, said booms being
movable between an extended position and a retracted position, in
extended position the inner boom inclining upward on one side of
the vertical and the outer boom extending further to the same side
thereof, and the angle between the booms being less than
180.degree., in retracted position the inner boom inclining upward
on the other side of the vertical and the outer boom extending to
the first mentioned side thereof, the effective lever arm of the
second hydraulic cylinder assembly progressively increasing, and
the effective lever arm of the first hydraulic cylinder assembly
progressively decreasing as the booms move away from extended
position toward retracted position, and hydraulic means
interconnecting said hydraulic cylinder assemblies to coordinate
their simultaneous action to cause the outer end of the outer boom
to move substantially horizontally and above the level of said
pivot means.
13. An articulated crane, comprising in combination: a base member,
an inner boom, pivot means mounting said inner boom on the base
member, an outer boom pivotally mounted on the inner boom, means
including a first extensible hydraulic cylinder assembly for
independently swinging said inner boom with respect to said base
member in an arc on both sides of the vertical position, said
assembly defining a first effective lever arm with respect to said
pivot means, means including a second extensible hydraulic cylinder
assembly for independently swinging said outer boom with respect to
said inner boom, said second assembly defining a second effective
lever arm with respect to the pivotal mounting of the outer boom,
said booms being movable in a traverse between an extended position
and a retracted position, in extended position the inner boom
inclining upward on one side of the vertical and the outer boom
extending further to the same side thereof, and the angle between
the booms being less than 180.degree., in retracted position the
inner boom inclining upward on the other side of the vertical and
the outer boom extending to the first mentioned side thereof, and
the angle between the booms being less than at extended position,
the ratio of the effective lever arm of the second hydraulic
cylinder assembly to the effective lever arm of the first hydraulic
cylinder assembly increasing as the booms move away from extended
position toward retracted position, whereby substantially equal
pressures are induced in said hydraulic cylinder assemblies at each
point along said traverse, and means interconnecting said hydraulic
cylinder assemblies to coordinate their simultaneous action to
cause the outer end of the outer boom to move substantially
horizontally and above the level of said pivot means.
14. The combination set forth in claim 13 in which the hydraulic
cylinder assemblies displace different volumes of fluid in their
respective strokes between extended position and retracted
position.
15. The combination set forth in claim 14 in which two positive
displacement pumps are provided, one connected to each hydraulic
cylinder assembly, respectively, the pumps being mechanically
connected for dependent rotation.
Description
This invention relates to hydraulically operated articulated
cranes. As a type, these cranes have achieved commercial success
because of their simplicity, flexibility in handling loads in a
variety of positions, and economical price. Cranes of this type
commonly employ a base member mounted on a turntable, an inner boom
pivoted to the base member, and an outer boom pivoted to the inner
boom. Separate hydraulic cylinder assemblies, one of each boom, are
employed.
An important shortcoming of articulated cranes of this type is the
difficulty of moving a load horizontally toward or away from the
axis of the turntable, because both hydraulic cylinder assemblies
must be operated at the same time, requiring very skillful
operation of the manual control levers. Separate operation of each
hydraulic cylinder assembly results in the load hook swinging in a
vertical arc. Only by skillful operation of both controls at the
same time is it possible to cause the load to move horizontally
toward or away from the turntable axis. Such horizontal movement is
known as "level luffing".
It is an important object of this invention to provide an improved
hydraulically operated articulated crane that retains the
advantages of simplicity, flexibility and price associated with the
general design, but which in addition provides for automatic level
luffing when desired.
Other and more detailed objects and advantages will appear
hereinafter.
In the drawings:
FIG. 1 is a side elevation showing a preferred embodiment of my
invention.
FIG. 2 is an end view thereof, partly broken away.
FIG. 3 is a side elevation showing a modified form of the
invention.
FIG. 4 is a side elevation showing another modified form of the
invention.
FIG. 5 is a side elevation showing still another modified form of
the invention.
FIG. 6 is a side elevation of a somewhat similar device but which
does not produce automatic level luffing.
FIG. 7 is a schematic diagram showing hydraulic connections for the
devices of FIGS. 1 and 2.
FIG. 8 is a schematic diagram constituting a modification of a
portion of FIG. 7.
Referring to the drawings, the base member 10 is carried on a
stationary support 11 by means of a large horizontal bearing
assembly 12. An inner boom 13 is pivotally mounted on the base
member 10 and 14, and an outer boom 15 is pivotally connected to
the inner boom at 16. The first hydraulic cylinder assembly 17 is
operatively positioned between the base member 10 and the inner
boom 13. Thus the outer shell of the assembly 17 is pivoted to the
base member 10 at 18, and the piston rod end of the assembly 17 is
pivotally connected at 19 to the bracket 20 fixed on the inner boom
13. Similarly, the hydraulic cylinder assembly 22 is operatively
positioned between the inner boom 13 and the outer boom 15. The
outer shell of the assembly 22 is pivoted at 23 to the bracket 20
and the piston rod end of the assembly is pivoted at 24 to the
bracket 25 on the outer boom 15. From this description, it will be
understood that actuation of the hydraulic cylinder assembly 17
serves to swing the inner boom 13 around the pivot 14, and
actuation of hydraulic cylinder assembly 22 serves to swing the
outer boom 15 around the pivot 16.
An hydraulically operated winch 27 of conventional design may be
conveniently mounted on the inner boom 13 near the pivot 14. A
cable 28 extending from the winch 27 passes over the pulley or
sheave 29 which may be coaxial with the pivot 16. The cable then
passes over the sheave 30 mounted at the swinging end of the outer
boom 15, and this cable 28 pendantly supports the load hook 31.
Operation of the hoist 27 to wind up the cable 28 serves to lift
the load hook 31.
An hydraulic motor 33 mounted on the base member 10 is gear
connected to the satisfactory support 11 in order to swing the
entire crane assembly in either direction above the axis of the
bearing 12.
At the operator's console 34 a plurality of manually operated
control levers 35 are provided. One of these levers serves to
operate the turntable motor 33, another operates the hydraulic
cylinder assembly 17, another operates the hydraulic cylinder
assembly 22, and the fourth lever hydraulically interconnects the
hydraulic cylinder assemblies 17 and 22 to coordinate their
simultaneous movement, so that the load-supporting hook 31 travels
substantially horizontally toward or away from the turn-table axis.
This fourth lever thus provides for automatic lever luffing. The
hydraulic diagram of FIG. 7 shows how this hydraulic
interconnection may be accomplished. Two hydraulic pumps 37 and 38
are driven from the same prime mover 39 mounted on the base member
10. The low volume pump 37 is connected through filter 40 to
deliver hydraulic fluid under pressure to the valve 41 for the
turntable motor and to the valve 42 for level luffing, described
below. The high volume pump 38 delivers hydraulic fluid under
pressure through the filter 43 to the valve 44 for the hydraulic
cylinder assembly 17, and to the valve 45 for the hydraulic
cylinder assembly 22, and to the valve 46 for the hydraulically
operated hoist 27. Spring loaded relief valves 48 and 49 return
hydraulic fluid to the central reservoir or sump, when the unit
pressure exceeds the predetermined maximum. Other relief valves 50
and 51 are provided for the same purposes.
Each of the manually operable valves 41, 42, 44, 45 and 46 is shown
in its intermediate blocking position in which no flow occurs to or
from its respective work member. When the valve 44 is manually
depressed, hydraulic fluid under pressure is delivered from line 53
to line 54, and line 55 to the rod end port 56 of the hydraulic
cylinder assembly 17, thereby retracting the piston rod 17r.
Hydraulic fluid in the lower portion of the assembly 17 passes out
through the piston end port 57 and line 58 to the check valve 59.
This check valve 59 is opened by pressure in the lines 55 and 60
from the pump 38, thereby allowing hydraulic fluid to pass from the
line 58 through lines 63, 64 and 65 and back through valve 44.
Similarly, manual movement of the valve 44 to an upper position
connects line 53 with line 65 so that hydraulic fluid under
pressure passes through lines 64 and 63, check valve 59, line 58
and port 57 to cause extension of the piston rod 17r. Hydraulic
fluid in the rod end of the assembly 17 passes out through lines 55
and 54 and through the valve 44 to the line 66. The valve 44 is
mechanically connected for operation by one of the console levers
35.
In a similar fashion, downward movement of the manually operable
valve 45 delivers hydraulic fluid under pressure from line 66
through lines 68 and 69 to the rod end port 70 of the hydraulic
cylinder assembly 22. Hydraulic fluid below the piston escapes
through piston end port 71, check valve 72 (held open by pressure
in line 73) and line 74 back to valve 45. Upward movement of the
valve 45 reverses the flow to cause upward movement of the piston
rod 22r.
The valve 46 may be moved in either direction to cause operation of
the hoist 27 to wind up or pay out the cable 28. Similarly, the
valve 41 may be moved in either direction to pressurize one of the
lines 75 or 76 and cause return flow through the other line for the
purpose of causing the turntable motor 33 to operate in either
direction, as desired.
The level luffing valve 42 has three positions. In the center
position illustrated in FIG. 7, no flow takes place through the
valve. When the valve 42 is moved to the right, the pressurized
line 77 from the pump 37 is connected to lines 78 and 55 leading to
port 56. Back pressure in the line 77 acts through line 62 to cause
the pilot valve 79 to connect line 63 to line 74 through
interconnecting line 61. The back pressure in line 55 acts through
line 60 to open check valve 59. Accordingly, hydraulic fluid passes
from port 57 through lines 63 and 61, pilot valve 79 and line 74
into port 71. The hydraulic cylinder assemblies 17 and 22 are so
proportioned that they require the same volume of hydraulic fluid
during their respective level luffing strokes. Accordingly,
hydraulic fluid is simply transferred from assembly 17 to assembly
22 so that, as the rod 17r retracts, the rod 22r is extended. The
inner boom 13 and outer boom 15 move from the full line position
"A" shown in FIG. 1 to the phantom line position shown at "B."
Because of the transfer of hydraulic fluid during this operation,
the path of the load-supporting hook 31 is shown by the line 81.
While this path as shown by the line 81 is not precisely
horizontal, it is near enough for commercial purposes and is
referred to hereinafter as being substantially horizontal. In the
fully retracted position shown at "B" in FIG. 1, the hydraulic
cylinder assembly 17 is fully extended and the hydraulic cylinder
assembly 22 is fully retracted. The intermediate position "C"
illustrates independent action capability apart from level luffing
between positions "A" and "B."
When it is desired to cause level luffing of the load-supporting
hook 31 in the other direction, that is, away from the axis of the
turntable, the valve 42 is moved to the left, as shown in FIG. 7.
This serves to connect the pressure line 77 from the pump 37 to the
line 81 and line 69 leading to port 70. This causes piston rod 22r
to move downward. Hydraulic fluid passes out through port 71 and
through check valve 72 which is held open by back pressure in the
line 73. The hydraulic fluid then passes through the pilot valve 79
held by back pressure in lines 77 and 62 and then passes through
line 61 and 63 to port 57 in the assembly 17. Accordingly, the
piston rod 17r moves upward. The booms 13 and 15 move back from the
position shown at "B" to the solid line position "A," all as shown
in FIG. 1.
In the device shown in FIGS. 1 and 2, the dimensions of the
cylinder assemblies 17 and 22 are chosen so that the total volume
of oil discharged from cylinder assembly 22 is the same as that
received by the cylinder assembly 17 (and vice versa) during the
level luffing stroke. Also, at any given instant along the level
luffing traverse, the unit pressure is substantially the same in
these cylinder assemblies 17 and 22 because of the moment arm
relationship of load and hydraulic cylinders. When they are
interconnected relatively little additional pressure is required to
cause a transfer of fluid from one cylinder assembly to the other
and thus an articulating movement of the arms 13 and 15 results,
which produces a level luffing of the load. Because the pressure
and incremental volume released from one cylinder at any instant is
so nearly equal to that expended in the other, the traversing
movement is accomplished without the addition or release or work.
Such movement can only be horizontal. Technically speaking, from
physical principles, no work is performed on a load moving
horizontally, neglecting friction and accelerations.
In order to achieve the level luffing operation, the angle X
between the booms at the extended position is substantially less
than 180.degree., and this angle decreases as the load is moved
inward in the level luffing operation until the minimum angle Y is
reached in the fully retracted position. In the form of the
invention shown in FIGS. 1 and 2, the effective lever arm of the
hydraulic cylinder 22 changes very little from the value L.sub.1 at
the extended position "A" as compared to the value L.sub.2 at the
retracted position "B." The hydraulic cylinder assembly 17 has its
maximum lever arm L.sub.1 at the extended position "A" and this
lever arm decreases to the minimum value L.sub.2 at the retracted
position B." B" This relationship of the effective length of the
lever arms of the hydraulic cylinder assemblies in the extended
position "A" and the retracted position "B" produces the level
luffing action, as shown by the following analysis:
To have level luffing, the arrangement and sizing of parts and
cylinders must be such that the release of work from one cylinder
assembly must equal that expended in the other.
In the arrangement of FIG. 1, when cylinders of equal volume are
used, to obtain the equal work relationship the cylinder pressures
must be equal to one another at any point in the transverse. If, at
each increment of displacement along the traverse, the work is
balanced, the traverse is level. If all other increments are
balanced, then the total traverse is level. Expressed
algebraically:
dv P.sub.17 = dv P.sub.22
Therefore
P.sub.17 = P.sub.22
where
dv = small volume of fluid transferred at some point during the
level luffing traverse.
P.sub.17 = the pressure in cylinder 17
P.sub.22 = the pressure in cylinder 22 at that same point in the
traverse.
To develop the necessary geometrical relationships to produce
substantial level luffing, assume the pressures in both cylinder
assemblies are equalized between them at either end of the
traverse. The following derivation provides the relative change in
cylinder moment arms that must transpire during a given
traverse.
Taking the summation of moments about the pivot 16, when the booms
are in the extended position:
Fd.sub.1 = P.sub.x A.sub.1 L.sub.1
where
F is the force or weight acting on the outer end of the boom
15;
d.sub.1 is the distance through which the force F acts;
P.sub.x is the unit pressure of fluid in the hydraulic cylinder 22
at extended position;
A.sub.1 is the area of the piston in the assembly 22 against which
this hydraulic pressure acts;
L.sub.1 is the effective lever arm of the assembly 22 at extended
position.
Solving for P.sub.x : ##EQU1##
Taking the summation of moments about the pivot 14:
FD.sub.1 = P.sub.x A.sub.2 L.sub.1
where
P.sub.x is the unit pressure of the fluid in the assembly 17;
A.sub.2 is the area of the piston in the assembly 17 which is
subjected to this hydraulic pressure;
L.sub.1 is the effective lever arm of the assembly 17.
Solving for P.sub.x : ##EQU2##
Equating (1) and (2), because the unit hydraulic pressure in each
of the assemblies 22 and 17 is the same: ##EQU3##
Solving for D.sub.1 : ##EQU4##
Taking the summation of moments about the pivot 16 when the booms
are in the retracted position:
Fd.sub.2 = P.sub.r A.sub.1 l.sub.2
where
P.sub.r is the unit pressure in the hydraulic cylinder assembly 22
at retracted position;
l.sub.2 is the effective lever arm of the assembly 22 in retracted
position.
Solving for P.sub.r : ##EQU5##
Taking the summation of moments about the pivot 14:
FD.sub.2 = P.sub.r A.sub.2 L.sub.2
Solving for P.sub.r : ##EQU6##
Equating (4) and (5) because the unit hydraulic pressure is the
same in each of the assemblies 22 and 17: ##EQU7##
Solving for D.sub.2 : ##EQU8##
From the foregoing: ##EQU9##
In FIG. 1, d.sub.1 is substantially the same as d.sub.2.
Accordingly: ##EQU10## and when l.sub.1 is the same as l.sub.2 as
in FIG. 1 ##EQU11## Stated in other words, in order to achieve
level luffing with the FIG. 1 device, and with hydraulic pressure
in the assembly 22 substantially equal to that in the assembly 17
at each point along the level luffing traverse, the assembly 17
must be mounted so that its effective lever arm L.sub.1 at the
extended position "A" of the booms is proportional to the overall
horizontal reach D.sub.1 of the booms at extended position, while
the effective lever arm L.sub.2 of the assembly 17 at retracted
position "B" is proportional to the horizontal reach D.sub.2 of the
booms at retracted position. Accordingly, the ratio of the
effective lever arm of the second hydraulic cylinder assembly 22 to
the effective lever arm of the first hydraulic cylinder assembly 17
increases as the booms move away from extended position toward
retracted position.
In the device of FIGS. 1 and 2 but using cylinders of unequal
displacement, the flow proportioning device 200-201 of FIG. 8 is
interposed, to provide a related proportioning of fluid between
cylinders 17 and 22.
Again, a relation of equal work transfer requires at any instant of
level luffing that:
dv.sub.17 .times. P.sub.17 = dv.sub.22 .times. P.sub.22
where
dv.sub.17 = small volume of fluid transferred to or from cylinder
17 at an instant;
dv.sub.22 = small fluid volume transferred to or from cylinder 22
at the same instant;
P.sub.17 = fluid pressure within cylinder 17 at instant of fluid
transfer;
P.sub.22 = fluid pressure within cylinder 22 at instant of fluid
transfer.
But
V.sub.17 .noteq. (does not equal) V.sub.22
therefore
dv.sub.17 .noteq. dv.sub.22
But an equal number of volume increments are displaced in each
cylinder during the total level luffing traverse.
Therefore
ndv.sub.17 = V.sub.17
and
ndv.sub.22 = V.sub.22
where
n = number of volume increments
and
ndv.sub.17 .sup.. P.sub.17 = ndv.sub.22 .sup.. P.sub.22
therefore
V.sub.17 .sup.. P.sub.17 = v.sub.22 .sup.. P.sub.22 (10)
where
V.sub.17 = volume cyl 17
V.sub.22 = volume cyl 22
Therefore, to have an equal work relation in each cylinder the
product of the volume of one cylinder times its pressure at a given
instant must equal the product of the volume of the other cylinder
times its pressure at the same instant.
From the equation (10) then the pressures are related ##EQU12## For
convenience let ##EQU13## then
P.sub.17 = k P.sub.22
With this pressure relationship take moments at each end of the
traverse to develop the desired geometric relationship:
Taking summation of moments about 16 in extended position:
##EQU14##
Taking summation of moments about 14 in extended position:
##EQU15## Equating (11) and (12) ##EQU16## Solving for D.sub.1
##EQU17##
Taking summation of moments about 16 in retracted position:
##EQU18##
Taking summation of moments about 14 in retracted position:
##EQU19## Equating (14) and (15) ##EQU20## Solving for D.sub.2
##EQU21## since d.sub.1 is substantially the same as d.sub.2,
accordingly ##EQU22## Therefore in the case of a crane with
cylinders of unequal volume the stroke and area relationships of
the cylinders must be such that
V.sub.17 P.sub.17 = V.sub.22 P.sub.22
and the geometric relation of ##EQU23## must also exist.
If it is desired to refine the path of movement of the
load-supporting hook 31 during the level luffing operation so that
it more closely approaches an exact horizontal line, a
cam-and-follower device may be employed for modifying the rate of
transfer of hydraulic fluid between the assemblies 17 and 22. As
shown in the drawings, this cam-and-follower device comprises a cam
84 fixed to the inner boom 13, together with a follower roller 85
held in contact with the surface of the cam 84. The follower roller
85 is mounted on the extending rod 86 of the hydraulic cylinder
assembly 87 and the space below the piston is connected by line 87a
to the line 74 to the pilot valve 79. In and out movement of the
rod 86 under action of the follower roller 85 transfers hydraulic
fluid into and out of the line containing the pilot valve 79, in
accordance with the angular position of the inner boom 13. The
varying volume of hydraulic fluid causes variations in the relative
movement of the piston rods 17r and 22r to minimize deviation of
the path of the load-supporting hook 31 from a true horizontal
line.
In the modified form of the invention shown in FIG. 3 of the
drawings, the parts are generally similar to those previously
described, except that the outer boom 15a is provided with an
extension member 100 telescopically mounted thereon. The stationary
support 11a, turntable bearing 12a, base member 10a, inner boom 13a
and pivotal connections 14a and 16a are all similar to
corresponding parts previously described. The same is true of the
hydraulic cylinder assemblies 17a and 22a and their respective
pivotal connections 18a, 19a, and 23a, 24a.
A third hydraulic cylinder assembly 101 is provided for extending
or retracting the extension member 100 with respect to the outer
boom 15a. A sheave 102 is mounted at the projecting end of the
extension 100 to receive a load-supporting cable, not shown.
The same hydraulic circuits previously described may be employed
for providing independent operation of the hydraulic cylinder
assemblies 17a and 22a, or for providing coordinated action thereof
for accomplishing level luffing. The phantom line position at "A"
in FIG. 3 shows the booms in retracted position, while the phantom
line position at "B" shows the booms in a folded position for
transport. In this latter position, the outer boom 15a underlies
the position of the inner boom 13a.
It will be observed that the positions of the hydraulic cylinder
assemblies 22a and 17a with respect to the booms 15a and 13a and
with respect to the stationary support 10a are similar to those
positions set forth in detail above with respect to the form of the
invention shown in FIGS. 1 and 2.
The modified form of the invention shown in FIG. 4 has a base 10b
pivotally supporting a first boom 13b at 14b, and a second boom 15b
pivotally supported on the boom 13b at 16b. The first boom 13b is
moved by the hydraulic cylinder assembly 17b and the second boom
15b is moved by the hydraulic cylinder assembly 22b. The hydraulic
connections and the controls are the same as previously described.
In this form of the invention, however, the hydraulic cylinder
assembly 17b has a substantially constant effective lever arm
L.sub.1 and L.sub.2, while the hydraulic cylinder assembly 22b has
a short effective lever arm l.sub.1 in the extended position of the
booms which increases to a long effective lever arm l.sub.2 in the
retracted position. As shown by the mathematical analysis set forth
in detail above: ##EQU24## and when L.sub.1 = L.sub.2 as in FIG. 4,
##EQU25##
The further modified form of the invention shown in FIG. 5 has a
base 10c pivotally supporting a first boom 13c at 14c, and a second
boom 15c pivotally supported on the boom 13c at 16c. The first boom
13c is moved by the hydraulic cylinder assembly 17c and the second
boom 15c is moved by the hydraulic cylinder assembly 22c. The
hydraulic connections and the controls are the same as previously
described. In this form of the invention, however, neither of the
hydraulic cylinder assemblies 17c or 22c has a substantially
constant effective lever arm. Thus, the effective lever arm L.sub.1
of the assembly 17c decreases to L.sub.2 as the booms are moved
from extended position to retracted position, while the effective
lever arm of the assembly 22c l.sub.1 increases to l.sub.2 during
the same movement of the booms. Thus, one effective lever arm
increases as the other decreases, and vice versa. So long as the
relationship of the parts is such that the relationship of equation
(8) apply, substantial level luffing is achieved.
However, as equation (8) indicates, substantial level luffing
action is not achieved if the boom-operating hydraulic cylinder
assemblies both have substantially constant effective lever arms,
that is, when L.sub.1 = L.sub.2, and l.sub.2 = l.sub.1. Moreover,
level luffing is not achieved in other designs in which one or both
of the hydraulic cylinder assemblies have effective lever arms
which change from extended position to retracted position, unless
the ratio of the effective lever arm of the second hydraulic
cylinder assembly to that of the first hydraulic cylinder assembly
increases as the booms move away from extended position toward
retracted position. This is shown in the diagram of FIG. 6. In this
construction, the hydraulic cylinder assembly 22d operating the
second boom 15c has an effective lever arm which decreases from
l.sub.1 when extended to l.sub.2 when retracted. Also, the
hydraulic cylinder assembly 17d operating the first boom 13d has an
effective lever arm which decreases from L.sub.1 when extended to
L.sub.2 when retracted. The arched curved line 81d which shows the
motion of the outer end of the second boom 15d is substantially
higher at the center than it is at either end. Substantial level
luffing action is not obtained because the required ratio of
effective lever arms is not achieved.
The modification of the hydraulic diagram, as shown in FIG. 8, is
for use when the hydraulic cylinder assemblies 17 and 22 are
dimensioned so that they displace different volumes of oil during
the level luffing stroke. This may be desirable in some cases for
best economical use of materials. In such case, means are provided
for proportioning the rate of flow of oil to produce the desired
coordination of movement of the piston rods. Thus, two positive
displacement pumps 200 and 201 are employed, mechanically connected
by shaft 202. Hydraulic fluid leaving cylinder assembly 22 through
port 71 during the level luffing stroke passes through valve 79 and
is metered through pump 200 to tank. This causes pump 201 to draw
oil from the tank and discharge it through check valve 59 into the
cylinder 17 through port 57. The capacity of the pumps are
proportional to the displacement volumes of the cylinders; if the
cylinder 22 has twice the displacement volume as cylinder 17 during
the level luffing stroke, then pump 200 is proportioned to have
twice the capacity of the pump 201. In a similar fashion, when pump
201 meters hydraulic fluid from cylinder 17, the shaft-connected
pump 200 draws fluid from the tank and discharges it through check
valve 72 into cylinder 22 through port 71.
Having fully described my invention, it is to be understood that I
am not to be limited to the details herein set forth but that my
invention is of the full scope of the appended claims.
* * * * *