U.S. patent number 3,887,031 [Application Number 05/369,100] was granted by the patent office on 1975-06-03 for dual-range sound absorber.
This patent grant is currently assigned to Lockhead Aircraft Corporation. Invention is credited to Leslie S. Wirt.
United States Patent |
3,887,031 |
Wirt |
June 3, 1975 |
Dual-range sound absorber
Abstract
A dual-range sound absorber, comprising a cavity, a horn located
within the cavity and having its larger end (mouth) communicating
with the exterior of the cavity, and a permeable facing over the
mouth of the horn. At a given frequency below the cutoff frequency
of the horn, the inertia of the air in the horn is just compensated
by the stiffness of the air in the enclosing cavity causing a
helmholtz resonance to occur. This resonance is heavily damped due
to the permeable facing across the mouth of the horn. Above the
cutoff frequency, the horn freely propagates incoming acoustic
waves but the discontinuity in area at the junction of the horn
throat and the air cavity causes a reflection to occur. Thus, above
the cutoff frequency the device behaves much in the manner of a
conventional laminar sound absorber. By proper selection of horn,
facing, and cavity parameters, the low frequency absorption zone
and the high frequency absorption zone may be made to exhibit a
dual characteristic so as to function well at low frequencies,
without requiring excessively large volume, while still having
comparable absorption efficiency at high frequencies. The
functional operation of the device is relatively independent of the
materials from which it is made and may, for example, be fabricated
from metal, plastic, ceramic, or other materials. It is
particularly suitable for sound attenuation in engines, vehicles,
factories, and other applications having adverse environmental
conditions.
Inventors: |
Wirt; Leslie S. (Newhall,
CA) |
Assignee: |
Lockhead Aircraft Corporation
(Burbank, CA)
|
Family
ID: |
23454095 |
Appl.
No.: |
05/369,100 |
Filed: |
June 11, 1973 |
Current U.S.
Class: |
181/286; 181/292;
428/178 |
Current CPC
Class: |
E04B
1/86 (20130101); G10K 11/172 (20130101); E04B
2001/748 (20130101); E04B 2001/8428 (20130101); Y10T
428/24661 (20150115) |
Current International
Class: |
E04B
1/86 (20060101); G10K 11/172 (20060101); E04B
1/84 (20060101); G10K 11/00 (20060101); E04B
1/74 (20060101); E04b 001/84 () |
Field of
Search: |
;181/33G,336A,336GB,33H
;161/43,68 |
References Cited
[Referenced By]
U.S. Patent Documents
Foreign Patent Documents
Primary Examiner: Wilkinson; Richard B.
Assistant Examiner: Miska; Vit W.
Attorney, Agent or Firm: Corber; Billy G. Flygare; Ralph
M.
Claims
What is claimed is:
1. Wide-range apparatus for the absorption of an ambient sound
field, comprising:
means defining a sound-confining chamber; and,
an acoustical horn having a predetermined cutoff frequency and
having a sound-receiving mouth at one end and a smaller throat at
the other end of the horn path, said path being characterized by a
continuously changing cross-sectional area along its length, said
horn being nested within said chamber so as to have said mouth
acoustically coupled to the exterior of said chamber and said
throat acoustically coupled to the interior of said chamber, the
internal volume defined by said chamber and said horn comprising a
damped helmholtz resonator whereby incoming sound above said cutoff
frequency will be propagated from said mouth towards said throat
whereupon said sound will be reflected back toward said mouth due
to the discontinuity at the junction of said throat and said
chamber, thereby causing destructive cancellation between incoming
and reflected sound waves, and whereby the inertia of the air mass
in said horn resulting from incoming sound below said cutoff
frequency is just compensated by the air confined in said chamber
so as to cause helmholtz resonance to occur within said
chamber.
2. Apparatus as defined in claim 1 including:
a permeable flow-resistive element placed in series, acoustically,
with said mouth and the ambient sound field, the flow resistance of
said element being sufficient to heavily damp the resonance of said
chamber at frequencies below said cutoff frequency.
3. Apparatus as defined in claim 1 wherein said chamber defining
means comprises:
a cylinder closed at one end by a sound-confining end wall and
closed at the other end by the mouth of said acoustical horn.
4. Apparatus as defined in claim 1 wherein said throat of said horn
is acoustically coupled to the interior of said chamber via an
aperture in the side wall of said horn.
5. Apparatus as defined in claim 1 wherein said horn has a
continous exponential taper and said mouth thereof is contiguous
with the outer surface of said chamber.
6. Apparatus as defined in claim 2 wherein said flow-resistive
element extends across the mouth of said horn.
7. Apparatus as defined in claim 6 wherein said flow resistive
element has a flow-resistance of the order of 1 .rho.c where .rho.
is the density of the fluid medium through which the sound is
propagated and c is the velocity of sound in said medium.
8. A wide-range sound absorber, comprising:
a parallel array of tuned helmholtz resonator compartments;
and,
a plurality of acoustical horns each having a sound-receiving mouth
at one end and a smaller open throat at the other end of the horn
path, each of said horns being nested within corresponding
compartments so as to have the mouths thereof acoustically coupled
to the exterior of said array and the throats thereof acoustically
coupled to the interior of corresponding compartments, said horns
being characterized by a continuously-diminishing cross-sectional
area between said mouths and said throats, whereby incoming sound
above said cutoff frequency will be propagated from said mouths
towards said throats whereupon said sound will be reflected back
toward said mouths due to the discontinuity of the junctions of
said throats and said compartments, thereby causing destructive
cancellation between incoming and reflected sound waves, and
whereby the inertia of the air masses in said horns, resulting from
incoming sound below said cutoff frequency, is just compensated by
the air confined in said compartments so as to cause helmholtz
resonance to occur within said compartments.
9. A wide-range sound absorber as defined in claim 8 including:
permeable flow resistance means placed in series, acoustically,
with said mouths and the ambient sound field to be absorbed.
10. A wide-range sound absorber comprising:
first and second sound-confining resonator compartments disposed in
side-by-side relationship, said compartments having adjacent open
ends;
a first acoustical horn having a sound-receiving mouth at one end
and a smaller open throat at the other end of the horn path, said
path being characterized by a continuously changing cross-sectional
area along its length, said horn being nested within said first
compartment and having its throat in communication with the
interior thereof;
a second acoustical horn nested within said second compartment and
having its throat in communication with the interior thereof, the
cutoff frequency of said first horn being dissimilar to the cutoff
frequency of said second horn; and,
a permeable flow-resistive element extending across the mouths of
said first and second horns whereby the combination of said first
horn and said first compartment is responsive to absorb a first
distributed portion of the sound spectrum and the combination of
said second horn and said second compartment is responsive to
absorb a complementary distributed portion of the sound spectrum.
Description
BACKGROUND OF THE INVENTION
Although industrial noise pollution has existed for many years, it
has become more acute through the use of higher speed machinery to
increase production output. Also, modern jet engines -- as is well
known -- produce a higher perceived noise level than the
reciprocating internal combustion engines which they replaced.
Surface vehicles have also contributed heavily to the problems of
noise pollution. Recent regulations concerning noise pollution
under the Walsh-Healy Public Contracts Act have also accelerated
interest in noise abatement.
One of the commonly used types of airborne sound absorption panel,
of the prior art, comprises a sound permeable facing sheet, an
interposed honeycomb core, and an impermeable backing sheet. Such
devices are generally called "laminar absorbers." One such absorber
is disclosed in U.S. Pat. No. 3,166,149. Although such panels are
simple, strong, and lightweight, they have the disadvantage of
being able to absorb sound only at certain discrete frequencies.
Between these discrete absorption bands the absorption falls to a
very low value. In many applications it is necessary to absorb both
high-frequency and low-frequency sounds.
Perhaps the most difficult sound absorber design problem is to
provide broadband low frequency sound absorption within a very
restricted volume. Broadband sound absorbing materials of all types
are subject to a fundamental space-versus-frequency limitation.
This arises because such materials are incapable of absorbing sound
efficiently unless they are of the order of one-quarter wavelength
in thickness. As the frequency to be absorbed becomes lower, the
physical size of the absorber increases, and, in many cases becomes
unacceptably large.
Heretofore it has been proposed to minimize the amount of absorbing
material required for a sound absorbing system by placing a small
amount of absorbing material in the throat of a horn. One such
device of this type is shown in U.S. Pat. No. 2,293,181. However,
such devices do not provide the degree of reduction of physical
volume afforded by the present invention.
SUMMARY OF THE INVENTION
The present invention comprises a relatively short horn-shaped
passage nested in a closed cavity. The mouth of the horn is
substantially contiguous with an exterior wall of the cavity and is
covered by a flow resistive permeable sheet. The throat end of the
horn communicates with the air space within the cavity. Below the
design cutoff frequency of the horn, the air in the entire horn
moves together and exhibits thereby a very considerable inertia. At
some frequency below cutoff, the inertia of the air in the horn is
just compensated by the stiffness of the air in the cavity and a
resonance occurs. The resonance is heavily damped due to the
presence of the permeable, resistive, facing sheet across the mouth
of the horn. Above the cutoff frequency, the horn propagates
incoming acoustic waves but the discontinuity in area at the
junction of the throat and the air cavity causes a reflection to
occur, thereby causing the system to function in a manner similar
to a conventional laminar absorber. Thus, the damped resonance
mechanism absorbs low frequencies while the laminar absorber
mechanism absorbs higher frequencies. By proper selection of the
horn, facing, and cavity parameters, the low frequency absorption
zone and the high frequency absorption zone may selectively be
varied through a large range of values to obtain the desired
absorption characteristics.
BRIEF DESCRIPTION OF THE DRAWINGS
FIG. 1 is a perspective view, partially broken away, illustrating a
first embodiment of an absorber array constructed in accordance
with the invention utilizing horns having circular mouths.
FIG. 2 is a perspective view showing a portion of a horn array
comprising horns having rectangular mouths and circular
throats.
FIG. 3 is a cross sectional elevation view of a portion of a sound
absorber array incorporating a first modification of the embodiment
of FIG. 1.
FIG. 4 is a cross sectional elevation view of a second embodiment
of the invention.
FIG. 5 is a perspective view, partially in section, illustrating a
single dual-range absorber cell, constructed in accordance with the
invention.
FIG. 6 is an equivalent circuit diagram useful in the exposition of
the invention.
DESCRIPTION OF THE PREFERRED EMBODIMENT
There is shown in FIG. 1 a perspective view, partially broken away,
illustrating the construction of a first embodiment of the
invention. This sound absorber device comprises an impermeable
backing sheet 1, which may be fabricated from metal, plastic,
ceramic, or other suitable material, and an "egg-crate" core which
abuts backing sheet 1. This core comprises a plurality of
orthogonally intersecting partitions such as indicated at 2 and 3.
The partitions (2-3) are normal to the surface of backing sheet 1
and preferably secured thereto by bonding or other suitable means.
The partitions (2-3) define a plurality of cavities, cells, or
compartments, having a specified interior volume. An array of horns
nests within the cellular or compartmented core. This array 4
preferably comprises an integral structure which may be fabricated
from plastic, metal, or other suitable material. Typically, the
array 4 is fabricated from vacuum-formed plastic. The array
comprises a plurality of short horns, a typical one of which is
shown partially cut away at 5. The throat 6 of the horn 5 is open
and communicates with the interior of the compartment bounded by
partitions 2 and 3. The remaining two vertical partitions
comprising the compartment are omitted in FIG. 1 for purposes of
illustration only, it being understood that a fully enclosed
compartment is required for proper operation of the device. The
axial length of the horn 5 is shorter than the depth of the
compartment (2-3) thereby allowing the throat passage to
communicate with the interior of the compartment. The mouth 7 of
the horn 5 is circular and is flared towards the planar portion 8
of the array. Compartment 9 is substantially identical to the
previously defined compartment and, as in the first instance, is
shown with an open side in FIG. 1 for purposes of clarity, it being
understood that in practice all of the compartments or cells are
bounded on five sides by planar walls or partitions and bounded on
the sixth side by the horn array 4.
Overlying the array 4 is a permeable facing sheet 11, which may be
fabricated from fiber metal, perforated metal, porous paper, porous
ceramic, or other suitable permeable material having a specified
flow resistance as defined hereinafter. It is preferred that the
entire assembly, namely the backing sheet 1, the cellular core 2-3,
the array 4 and the facing sheet 11 are bonded together by an
adhesive or other suitable means.
The cutoff frequency of the horns (e.g., horn 5) comprising the
array is determined by their shape. The design of the horn follows
classical horn design criteria, well known to those versed in the
art. As is also well known to those versed in the art, the shape is
determined in part by the flare rate. Any of a number of common
horn shapes may be used, as desired, including exponential,
hyperbolic, catenoidal, Bessel, and conical shapes. While the
number of possible horn shapes is very large, for purposes of
simplicity it is assumed that all of the horns, except those of
FIG. 2, have axial symmetry. This is not, as will be seen in FIG.
2, an inherent limitation of the invention.
The mouths of the horns shown in array 4 of FIG. 1 are circular.
However, the array may be designed to utilize horns having
rectangular or square mouths such as shown in the array 12 of FIG.
2. Other horn geometries may be selected, as desired. In any event,
above the cutoff frequency, each horn of the array can transmit or
propagate sound waves freely. Below the cutoff frequency, the air
particles in the entire horn move together and exhibit thereby a
considerable inertia. In this respect, it is convenient to think of
the air mass within each horn as being a "slug" of air which moves
as a single unit below the cutoff frequency. At some frequency
below cutoff the inertia of this slug (of air) in the horn is just
compensated by the stiffness of the air confined within the cell,
and a helmholtz resonance occurs. The resonant frequency is largely
determined by the volume of the cavity, in accordance with
classical theory. This resonance is made to be heavily damped by
the presence of the permeable facing sheet 11 extending across the
mouth 7 of the horn 5.
Above the cutoff frequency, the horn 5 propagates incoming acoustic
waves in the normal operating mode of a horn, but the discontinuity
in area at the junction of the throat 6 and the air within the cell
causes an acoustical reflection to occur. That is, sound propagated
from the mouth toward the throat will be reflected and propagated
from the far end of the throat back toward the mouth. Thus, above
the cutoff frequency, the system behaves much in the manner of a
conventional laminar absorber wherein destructive phase
cancellation occurs between incoming and reflected sound waves.
By proper selection of the horn 5 parameters, the volume of the
cavity, and the resistance of the facing, the low-frequency
absorption portion of the spectrum and the high-frequency
absorption portion of the spectrum may selectively be varied
through a wide range of values. Preferably these values are made to
complement the spectrum of the noise to be absorbed, and thereby
maximize the performance of the device.
There is shown in FIG. 3 a cross-sectional elevation view of a
modified form of the apparatus of FIGS. 1 and 2. In this
embodiment, the throat of the horn is made to extend all of the way
to the bottom of the receiving cell and a window is provided in a
side wall of the end of the throat for communication with the
interior volume of the cell. This configuration comprises a
permeable facing sheet 14 and an interposed cellular core
comprising a plurality of wall members 15 and 16, and a horn 17
which extends from the top of the array to the bottom of the core
(15-16). The mouth 18 of the horn 17 abuts permeable facing sheet
14 and is bounded by the upper end of the cell defined by wall
members 15 and 16. The throat end 19 of horn 17 abuts backing sheet
13 and is centrally disposed within the wall members 15 and 16.
Since it is necessary for the interior of the horn 17 to
communicate with the air mass in the interior of cell 21, a
sidewall window or aperture 22 is provided at the throat end 19 of
horn 17. The adjacent cell 20 is similarly provided with a horn 23
having an aperture 24 at its throat end. The entire array comprises
a plurality of like horns nested within like receiving cells
comprising the core, of the type just described.
The advantage of the embodiment shown in FIG. 3, as contrasted with
the constructions shown in FIGS. 1 and 2, is that the structural
strength of the assembly is improved by the central connection of
the depending end (viz., the throat end 19) of the horn with the
backing sheet 13. The acoustical performance of the embodiment of
FIG. 3 is substantially the same as that provided by the first
described embodiments.
In certain instances it is desirable to broaden or smooth out the
operating characteristics of the apparatus. This can be achieved by
modifying the apparatus of FIG. 3 in the manner shown in FIG. 4.
The apparatus of FIG. 4 is generally similar to that shown in FIG.
3 in that it comprises an impermeable backing sheet 25, permeable
facing sheet 26, and a plurality of closed cells bounded by wall
members 27, 28 and 29. A plurality of horns 31, 32 are deposed
within corresponding cells 33 and 34. The height of wall member 28
is shorter than that of wall members 27 and 29, and is equal to the
length of horns 31 and 32. It is to be noted, however, that the
axial length of horns 31, 32 is less than the height of wall
members 27 and 29, thus allowing a space to exist between the
mouths 35 and 36, respectively, of horns 31 and 32, and the facing
sheet 26. This intervening space between the facing sheet 26 and
the horn array permits both horns (31-32) to share the greater area
of exposed facing sheet 26.
Horn 31 is constructed in essentially the same manner as that of
horn 17 described in connection with FIG. 3. However, horn 32
differs from horn 31 in that the sidewall aperture 37 is located
intermediate the throat 38 and the mouth 36 of the horn, rather
than at the throat end (38) of the horn, as in the case of horn 31.
By locating the aperture 37 some distance from the throat end, the
resonant frequency of the horn-cavity combination will be shifted
to a higher frequency than would otherwise be the case. Thus, the
absorption characteristics will differ from that of the adjacent
horn-cavity assembly 31, 33. Inasmuch as permeable facing sheet 26
spans the mouths of both horns 31 and 32, and is operatively shared
by them, the absorption response characteristics of the horn pair
will be broadened.
The placement of the aperture 37, in effect "tunes" the resonant
frequency of the device much in the same manner that horn-type
musical instruments are tuned by means of openings spaced along the
length of the horn. In a typical construction, horn 31/cavity 33
combination would be designed to absorb the lowest frequency of
interest and horn 32/cavity 34 combination would be tuned to that
higher frequency at which the first cell became relatively
ineffective. For example, horn 31/cavity 33, functioning as a
damped resonator, would absorb the lowest frequency portion of the
spectrum, horn 32/cavity 34, functioning as a damped resonator,
would absorb the next higher portion of the spectrum, horn
31/cavity 33, functioning as a laminar absorber, would absorb the
next higher portion of the spectrum, and horn 32/cavity 34,
functioning as a laminar absorber, would absorb the highest portion
of the spectrum. Thus, the paired absorber horn/cell combinations
would have an efficient absorption band extending over an unusually
wide range. A design dividing the spectrum into four zones is meant
to be exemplary only, it being understood that the absorption
characteristic curve may be modified as desired by the
designer.
It should be understood that the lowest frequency absorption peak
lies considerably below the design cutoff frequency of the horn.
Also, the next higher frequency absorption peak will be
approximately one decade above the fundamental absorption
frequency. There will follow a series of successively higher
frequency absorption peaks spaced at approximately one-half
wavelength intervals. Thus, the overall absorption bandwidth will
be unusually wide.
There is shown in FIG. 5 a single sound absorber cell constructed
in accordance with the invention. For very low frequencies it may
be desirable to construct appropriately large sound absorbers which
would be used independently as contrasted with the
multiple-absorber, or array configuration, as previously described.
Such a unitary construction is shown in FIG. 5 and comprises a
cylindrical cavity-defining enclosure 39 constructed of metal or
other impermeable material. Cavity defining enclosure 39 is bounded
on its upper end by a permeable disc 41 which functions as the
flow-resistive facing sheet for horn 42. The axial length of horn
42 is such as to permit a space 43 to exist between the interior
surface of end-closing wall 44 and the throat end of horn 42. This
allows the air within horn 42 to communicate with the air within
cavity defining enclosure 39. In a typical construction of the
invention designed to have its lowest absorption (i.e., fundamental
frequency) at 60 Hz and its next higher frequency absorption peak
be at approximately 600 Hz, the device would have an axial depth 45
of approximately nine inches and an interior diameter 46 of
approximately 8 inches. Horn 42 would have a flare rate designed to
cutoff at approximately 400-500 Hz. The flow resistance of
permeable facing disc 41 would be of the order of 1 .rho.c (42
rayls).
For convenience of manufacture, facing disc 41 may be recessed
within cavity defining member 39 so as to present a flush
surface.
There is shown in FIG. 6 a schematic diagram of a network which is
the electrical analogy of the apparatus of FIGS. 3 and 4. As can be
seen, the network comprises a first resistance R.sub.1 and series
inductance L.sub.1 which correspond to the lumped acoustical
impedance of the permeable facing sheet. This impedance is in
series with an impedance Z.sub.1 which corresponds to the impedance
looking into the mouth of the horn. The adjacent sound absorption
cell likewise comprises a resistance R.sub.2 and a series
inductance L.sub.2 corresponding to the impedance of the flow
resistive sheet. Both R.sub.2 and L.sub.2 are in series with
impedance Z.sub.2, which corresponds to the input impedance of the
corresponding horn mouth. In the embodiment of the apparatus shown
in FIG. 3, there is no leakage between adjacent absorber cells.
However, in the embodiment of FIG. 4 the open space between the
mouths of adjacent horns and the common, permeable, facing sheet,
results in a leakage resistance which is shown in the equivalent
circuit as shunt resistance R.sub.3. In the embodiment of FIG. 3,
the shunt resistance R.sub.3 would be infinite, and in the
embodiment of FIG. 4 it may be made to approach zero (e.g., a short
circuit). The value of the shunt resistance R.sub.3 is a design
parameter which the acoustical engineer may adjust to meet
individual application requirements. The convenience of
equivalent-network analysis permits the designer to customize the
sound absorber apparatus of the invention to meet predetermined
performance objectives.
In the particular exemplary embodiments described, the resistance
terms R.sub.1 and R.sub.2 have been provided principally by the
flow resistance of a facing sheet extending over the mouth of the
horns. However, it should be understood that in certain instances
the facing sheet may be omitted, in which case the acoustical
resistance inherent in the throat of the horn will be sufficient to
provide the desired function. This arrangement is particularly
suitable for applications of the invention intended for use at
higher frequencies, in which the physical size of the horns is made
relatively small and the intrinsic throat resistance is
significant.
In the foregoing descriptions of the various embodiments of the
invention, it has been stated generally that the apparatus
comprises a horn which acoustically terminates in a helmholtz
resonator. It should be understood that the walls of the horn
itself comprise a portion of the boundary of the resonator itself.
That is, the interior volume of the helmholtz resonator is, in
part, constrained by the surface area of the nested horn, and must
be reckoned in the design of the resonator chamber.
In summary, there has been shown and described a dual-range
apparatus for the absorption of ambient sound which functions in
the low-frequency end of the acoustic spectrum as a heavily damped
helmholtz resonator. At higher regions of the acoustic spectrum,
the same apparatus functions effectively as a laminar absorber in
which the reflection caused by the discontinuity, or change in
area, between the throat of the horn and the interior of the
resonant chamber will cause a series of absorptive peaks to occur
in the system's response. By combining two such absorber devices in
parallel, one of which is made to complement the absorptive peaks
of the other, a relatively smooth, wide-range, absorption
characteristic may be obtained. Thus, there is provided an
unusually compact device having the capability of absorbing ambient
sounds over a wider range than possible by prior devices of
comparable physical volume, and particularly with respect to the
lowest effective absorption frequency.
* * * * *