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US2062478A - Acoustic device - Google Patents

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US2062478A
US2062478A US42569A US4256935A US2062478A US 2062478 A US2062478 A US 2062478A US 42569 A US42569 A US 42569A US 4256935 A US4256935 A US 4256935A US 2062478 A US2062478 A US 2062478A
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acoustic
rectifier
orifice
sound
orifices
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US42569A
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Robert R Riesz
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AT&T Corp
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Bell Telephone Laboratories Inc
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01HMEASUREMENT OF MECHANICAL VIBRATIONS OR ULTRASONIC, SONIC OR INFRASONIC WAVES
    • G01H3/00Measuring characteristics of vibrations by using a detector in a fluid

Definitions

  • This invention relates to acoustic devices, and,
  • An object of this invention is to rectify sound wave energy.
  • a feature of this invention comprises means for rectifying sound wave energy.
  • Another feature of this invention comprises an acoustic rectifier capable of rectifying sound waves over a broad frequency band.
  • a further feature comprises sound measuring, sound analyzing or sound controlled means incorporating means for rectifying sound wave energy.
  • Still another feature comprises an acoustic rectifier embodying a wall member having an opening therein for the passage of sound wave energy, such opening offering a maximum impedance to the flow of sound energy therethrough in one direction and a minimum impedance to its flow in the opposite direction.
  • Fig. 1 is a cross-sectional view of a half-wave acoustic rectifier
  • Fig. 2 is a front view of the device of Fig, 1;
  • Fig. 3 is a cross-sectional view of a full-wave acoustic rectifier
  • Fig. 4 is a front elevational view of the device ofFig. 3;
  • Fig. 5 shows the circuit of a hot-wire anemometer for measuring unidirectional flow through the rectifier of Figs. 3 and 4;
  • Fig. 6 is an electrical circuit analogy of the device of Fig. 3;
  • Fig. '7 shows experimental and calculated characteristic curves for the rectifier of Fig. 3;
  • Fig. 8 is a cross-sectional view of an acoustic rectifier in which the length of the orifices is variable;
  • Fig. 9 is a cross-sectional view of an acoustic relay embodying the invention.
  • Figs. 10 andli are cross-sectional views of acoustic filters embodying an acoustic rectifier.
  • Fig. 12 is a crossesectional view of a sound meter.
  • Figs. 1 and 2 means for rectifying or rendering unidirectional, alternating acoustic energy or sound waves. It comprises a planar plate, disc or member 20 having an orifice 2
  • the portion 22 comprises, preferably, a cylindrical portion 23 and a flaring or irusto-conoidal portion 24, the diameter of the large base of the portion 24 being twice that of the portion 23, or being equal to the diameter of the portion 23.
  • the shape of the orifice is similar to that of the boundary of a. stream issuing from a circular aperture in a plate.
  • the rectifying action should be a maximum when the orifice is constructed so that the impedance flow in opposite directions through the orifice has the maximum asymmetry.
  • the asymmetry will be a maximum for the orifice shown in Figs. 1 and 2.
  • the shape of the orifice is that of the boundary of a stream issuing from a circular aperture in a plate so that the area of the stream'of fluid issuing from the orifice is equal to the area of the cylindrical portion 23.
  • the acoustic impedance of the orifice for flow in this direction is:
  • (11-170) is the drop in pressure across the orifice.
  • the orifice is a Borda mouthpiece and the area of the emerging column oi. fluid is one-half that of the portion 23. This represents the maximum amount by which the area of the fiuid column can be contracted by shaping the orifice.
  • the acoustic impedance for fiow in this direction is given by:
  • id. 4. It, comprises a hollow, cubical case 25 vlded into two compartments or chambers 26 equal volume by a partition or wall 21 conining a slit or slot 28 providing a connecting lssage between the chambers.
  • the front wall of the case contains a plurality of orifices such shown by Figs. 1 and 2, one group rectifying 1' current fiow from left to right and the other, ght to left, the arrows indicating the direction the rectified fiow.
  • FIG. 6 A rectifier such as is shown by Figs. and 4' was constructed, a hollow brass cube 4 iches on a side and divided into two compartients of equal volume being used, 1' being aproximately .25 inch.
  • the electrical analog is sown in Fig. 6, wherein L1 represents the mass f the air inv the orificesfor the upper compartient; L2, the mass or the air in the orifices for ae lower compartment; L3, the mass of the air 1 the slot; and S1 and S2, the stiffness of the pper and lower compartments, respectively.
  • Figs. 3 and 4 Being a tuned device, the rectifier of Figs. 3 and 4 will be sensitive over narrow frequency bands only, but by associating the rectifying orifices with a tube or resonator of variable tuning', it can be used as a sound analyzer.
  • Fig. 8 shows tubular members 32 fitting over the members 22 and slidably adjustable thereon to vary the length of the air column, whereby the resonant and, therefore, frequency band responsive characteristics of the device may be varied.
  • FIG. 9 An acoustic relay embodying this invention is shown by Fig. 9.
  • the partition 35 is provided with a flexible, corrugated, metallic portion 31 engaged by the contact end or point 38 of a contact spring 39 secured on the partition between insulating strips 40 and by screws 4
  • a difference in pressure on opposite sides of the flexible portion 31 will be created and the latter will be deflected to separate from the contact point 38.
  • By connecting the portion 31 and spring 39 by suitable conductors to an electric circuit, it is apparent that the operation of the latter may be controlled through the relay described. by acoustic pressures in the frequency range to which the particular relay was made responsive.
  • the rectifier can be made to cover a broad band of frequencies by constructing it as part of an acoustic filter as shown in Figs. 10 and 11.
  • FIG. 10 Each figure shows a'low pass filter; in Fig. 10 the rectifier precedes the filter sections, and in Fig. 11 is intermediate the filter sections.
  • the orifice defining members '22 lead to or from chambers 43 connected through a slit or slot 44 in a partition member 45.
  • the chambers 46 define acoustic stiflness elements, the tubular portions 41 define acoustic mass elements.
  • the filters may be terminated by suitable sound wave absorbing material 48, such as felt.
  • a sound meter embodying the invention is shown by Fig. 12. It comprises a hollow case 50 divided into two chambers or compartments SI of equal volume by a flexible diaphragm, wall or partition 52, orifices 2i connecting the chambers with the atmosphere.
  • the rectified pressure produces a steady deflection of the diaphragm to the right. This deflection will be of small magnitude and to make it visible on the scale 53 an optical lever may be employed.
  • a thin reed 64 is clamped at 55 to the extension 56 from the case 50, and its angular extension 51 rests against the center of the diaphragm.
  • a small mirror 58 is fastened to the free end of the reed and with the lens 59 projects an image of the straight filament of the lamp 60 onto the translucent scale 58. If the center of the diaphragm moves a distance x, the mirror will rotate through an angle where l is the length of the reed. The deflection of the image of the filament on the scale is where L is the distance from the mirror to the screen. Thus the displacement of the diaphr has been amplified times, and this amplification can be made as large as desiredby making L large compared with 1.
  • An acoustic device comprising a wall member having an opening therein for the passage of sound wave energy, said opening offering a maximum impedance to the fiow of sound energy therethrough in one direction and a minimum impedance to its fiow in the opposite direction.
  • An acoustic device comprising a wall member having an opening therein for the passage of sound wave energy, said opening, having a shape similar to that of the boundary of a stream issuing from a circular aperture in' a plate.
  • An acoustic rectifier comprising a wall member to be placed in a sound field. said member having an aperture therein, and a tubular member defining a passage in alignment with said aperture, said tubular member having a portion of constant cross-section and another portion of gradually increasing cross-section.
  • An acoustic device comprising a wall member having an opening therein for the passage of sound wave energy, said opening ofiering an impedance to the flow of sound energy therethrough whose value is dependent on the direction of flow.
  • An acoustic rectifier comprising a wall member to be placed in a sound field. said member having an aperture therein, and a tubular member defining a passage in alignment with said aperture, said tubular member having a cylindrical portion and another portion of gradually increasing cross-section, the radius of curvature thereof being equal to the diameter of the cylindrical portion.
  • An acoustic rectifier comprising a hollow case having a plurality of walls, and a partition in said case dividing the interior into two chambers and having a passage therein connecting the chambers, one of said walls containing a pair of orifices one of which connects one chamber with the atmosphere outside of the case and the other of which connects the other chamber with the atmosphere outside 01' the case, air fiow through each orifice taking place with greater ease for one direction of flow therethrough then for the reverse direction, the orifices being arranged reversely with respect to one another.
  • An acoustic filter embodying an acoustic rectifier embodying an acoustic rectifier.
  • An acoustic device comprising an acoustic rectifier capable per se of rectifying a narrow band only of sound energy frequencies, and means acoustically coupled to said rectifier for broadening the band of sound energy frequencies rectifiable.
  • An acoustic device comprising an acoustic rectifier capable per se of rectifying a narrow band only of sound energy frequencies
  • said dividing means containing a passage connecting the two chambers whereby a, unidirectional air fiow between the chambers may occur.
  • An acoustic device comprising a hollow case, and a partition dividing said case into two chambers, said case containing an orifice connecting each chamber with the atmosphere outside the case, each orifice being of greater area at one end than the other, one orifice having its small end opening into its respective chamber and the other having its large end opening into its respective chamber.
  • A'full wave acoustic rectifier comprising a wall member having a pair of spaced projecting, centrally apertured portions one portion extending rearwardly of the wall member and the other portion forwardly thereof.
  • a full wave acoustic rectifier comprising a wall member having a pair of spaced orifices each having a shape similar to that of the boundary. of a stream issuing from a circular aperture in a plate, the smaller ends of said orifices opening on opposite sides, or said wall connected, said case including a wall member having a pair of openings, one connecting with each chamber, one opening confining air flow therethrough substantially inwardly only to its associated chamber, and the other opening confining air flow therethrough substantially outwardly only from its associated chamber.

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  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Soundproofing, Sound Blocking, And Sound Damping (AREA)

Description

Dec. 1, 1936. R sz 2,062,478
ACOUSTIC DEVICE Filed Sept. 28, 1935 2 Sheets-Sheet l F/GZZ [-76.3
l 5 k 3 i N 1 q A Q) I,
sou/v0 PRESSURE d no: an I03 /0" 1b" 7 1'0 in m INVEN7UR 8y RR. RIESZ ATTORNEY Patented Dec. 1, 1936 UNITED STATES PATENT OFFICE ACOUSTIC DEVICE Application September 28, 1935, Serial No. 42,569
16 Claims.
.This invention relates to acoustic devices, and,
more particularly, to a device for rectifying sound wave energy.
An object of this invention is to rectify sound wave energy.
A feature of this invention comprises means for rectifying sound wave energy.
Another feature of this invention comprises an acoustic rectifier capable of rectifying sound waves over a broad frequency band.
A further feature comprises sound measuring, sound analyzing or sound controlled means incorporating means for rectifying sound wave energy.
Still another feature comprises an acoustic rectifier embodying a wall member having an opening therein for the passage of sound wave energy, such opening offering a maximum impedance to the flow of sound energy therethrough in one direction and a minimum impedance to its flow in the opposite direction.
. Other and further features will be evident from the description which follows hereinafter.
A more complete understanding of the inven- 5 tion will be obtained from the following detailed description, taken in conjunction with the attached drawings, wherein:
Fig. 1 is a cross-sectional view of a half-wave acoustic rectifier;
3 Fig. 2 is a front view of the device of Fig, 1;
Fig. 3 is a cross-sectional view of a full-wave acoustic rectifier;
Fig. 4 is a front elevational view of the device ofFig. 3;
Fig. 5 shows the circuit of a hot-wire anemometer for measuring unidirectional flow through the rectifier of Figs. 3 and 4;
Fig. 6 is an electrical circuit analogy of the device of Fig. 3;
Fig. '7 shows experimental and calculated characteristic curves for the rectifier of Fig. 3;
Fig. 8 is a cross-sectional view of an acoustic rectifier in which the length of the orifices is variable;
Fig. 9 is a cross-sectional view of an acoustic relay embodying the invention;
Figs. 10 andli are cross-sectional views of acoustic filters embodying an acoustic rectifier; and
Fig. 12 is a crossesectional view of a sound meter.
There is shown in Figs. 1 and 2 means for rectifying or rendering unidirectional, alternating acoustic energy or sound waves. It comprises a planar plate, disc or member 20 having an orifice 2| defined by a tubular portion or member 22. While the portion or member 22 is shown as formed integrally with the member 20, it may be a separate member suitably secured to the member 20, for instance, by welding, soldering or riveting. The portion 22 comprises, preferably, a cylindrical portion 23 and a flaring or irusto-conoidal portion 24, the diameter of the large base of the portion 24 being twice that of the portion 23, or being equal to the diameter of the portion 23. The shape of the orifice is similar to that of the boundary of a. stream issuing from a circular aperture in a plate.
The characteristics of air fiow through an I aperture have been studied heretofore. It has been discovered, however, that a rectified current of air may be produced when an alternating current of air is incident upon an aperture or, preferably, upon an orifice such as is shown by Figs. 1 and 2.
The rectifying action should be a maximum when the orifice is constructed so that the impedance flow in opposite directions through the orifice has the maximum asymmetry. For steady g flow, the asymmetry will be a maximum for the orifice shown in Figs. 1 and 2. For flow from left to right of Fig. 1, the shape of the orifice is that of the boundary of a stream issuing from a circular aperture in a plate so that the area of the stream'of fluid issuing from the orifice is equal to the area of the cylindrical portion 23. Calling this area S, the acoustic impedance of the orifice for flow in this direction is:
where (11-170) is the drop in pressure across the orifice. For flow from right to left, the orifice is a Borda mouthpiece and the area of the emerging column oi. fluid is one-half that of the portion 23. This represents the maximum amount by which the area of the fiuid column can be contracted by shaping the orifice. The acoustic impedance for fiow in this direction is given by:
2 (F1 new/ T Therefore;
It is apparent that half-wave rectification, only, may be accomplished with the device of Figs. 1 and 2. A full-wave rectifier is shown in Figs. 8
id. 4. It, comprises a hollow, cubical case 25 vlded into two compartments or chambers 26 equal volume by a partition or wall 21 conining a slit or slot 28 providing a connecting lssage between the chambers. The front wall of the case contains a plurality of orifices such shown by Figs. 1 and 2, one group rectifying 1' current fiow from left to right and the other, ght to left, the arrows indicating the direction the rectified fiow. When thecube is placed in sound field, a steady stream of air is sent into 1e upper compartment and another steady ream of air is emitted from the lower compartent. The result is that there is a unilateral rculation of air through the rectifying orifices 1d the slot in the wall between the compart- Lents. If the heated element 30 of a hot-wire aemometer 3|, such as that of Fig. 5, -is secured the wall 21 across the slot 28, the steady flow in be readily indicated.
A more complete understanding of the invenon .will be obtained from the theory developed ereinafter. A rectifier such as is shown by Figs. and 4' was constructed, a hollow brass cube 4 iches on a side and divided into two compartients of equal volume being used, 1' being aproximately .25 inch. The electrical analog is sown in Fig. 6, wherein L1 represents the mass f the air inv the orificesfor the upper compartient; L2, the mass or the air in the orifices for ae lower compartment; L3, the mass of the air 1 the slot; and S1 and S2, the stiffness of the pper and lower compartments, respectively. his is a system of two degrees of freedom, but :L1=Lz and 81:82, the system will have a single esonant frequency. 'Let a plane wave whose requency is equal to the resonant frequency of he system, i. e., p=P sin out, where p is the presure drop across the orifice (assuming only one rifice), act upon the system. The wave shape a the upper branch HMG is described by s 2 II E'he Fourier series representing this wave is writi=2 (A... sin zhwt-i-B cos mwt)+B ['he direct current component and fundamental With n identical orifices, each of area S, and with-R the acoustic impedance to direct current How of each set of orifices measured in the direction of flow, the direct current pressure drop produced by each set of orifices is:
[f it is assumed that this pressure drop remains constant as impedance is added to the path wall or partition 35 is provided in one wall 36 with HMN by the slit connecting the compartments and of'area Sx, the direct current flow will be:
Ix approaching a maximum when S; approaches zero.
a 0n the basis of hydraulic theory, the amplitude of the fundamental componentis:
i Lona/i: so that The above theory, of course, is-approximate; but to ascertain if it gave results of the right order of magnitude Ix was measured as a function of P, the amplitude of the pressure, in an approximately plane sound wave incident on the front of the acoustic rectifier. The particular rectifier was found to have two large response peaks at 362 cycles per second and 432 cycles per second, and curves A and B of Fig. 7 show the results for these respective frequencies. Curve C shows the relation to be expected from the hydraulic theory. It is evident that the experimental and the theoretical results tend to approach at high pressures. An interesting comparison is arrived at if calculation is made of the amplitude of vibration in the orifice to be expected if radiation and viscous resistances control the vibration, and this is compared with the dimensions of the orifice measured in the direction of vibration. Curve D shows the calculated amplitude and curve E shows the orifice dimension. It is evident, therefore, that the experimental results approach the calculated results when the amplitude exceeds the dimension of the orifice in the direction of vibration.
Being a tuned device, the rectifier of Figs. 3 and 4 will be sensitive over narrow frequency bands only, but by associating the rectifying orifices with a tube or resonator of variable tuning', it can be used as a sound analyzer. Fig. 8 shows tubular members 32 fitting over the members 22 and slidably adjustable thereon to vary the length of the air column, whereby the resonant and, therefore, frequency band responsive characteristics of the device may be varied.
An acoustic relay embodying this invention is shown by Fig. 9. A hollow case or shell 33 divided into two chambers or compartments 34 by a orifices 2| defined by tubular members 22 connecting the chambers 34 with the atmosphere outside of the case. The partition 35 is provided with a flexible, corrugated, metallic portion 31 engaged by the contact end or point 38 of a contact spring 39 secured on the partition between insulating strips 40 and by screws 4|. When placed in a sound field, a difference in pressure on opposite sides of the flexible portion 31 will be created and the latter will be deflected to separate from the contact point 38. By connecting the portion 31 and spring 39 by suitable conductors to an electric circuit, it is apparent that the operation of the latter may be controlled through the relay described. by acoustic pressures in the frequency range to which the particular relay was made responsive.
The rectifier can be made to cover a broad band of frequencies by constructing it as part of an acoustic filter as shown in Figs. 10 and 11.
' Each figure shows a'low pass filter; in Fig. 10 the rectifier precedes the filter sections, and in Fig. 11 is intermediate the filter sections. The orifice defining members '22 lead to or from chambers 43 connected through a slit or slot 44 in a partition member 45. The chambers 46 define acoustic stiflness elements, the tubular portions 41 define acoustic mass elements. The filters may be terminated by suitable sound wave absorbing material 48, such as felt.
A sound meter embodying the invention is shown by Fig. 12. It comprises a hollow case 50 divided into two chambers or compartments SI of equal volume by a flexible diaphragm, wall or partition 52, orifices 2i connecting the chambers with the atmosphere. When the meter is placed in a sound field, the rectified pressure produces a steady deflection of the diaphragm to the right. This deflection will be of small magnitude and to make it visible on the scale 53 an optical lever may be employed. A thin reed 64 is clamped at 55 to the extension 56 from the case 50, and its angular extension 51 rests against the center of the diaphragm. A small mirror 58 is fastened to the free end of the reed and with the lens 59 projects an image of the straight filament of the lamp 60 onto the translucent scale 58. If the center of the diaphragm moves a distance x, the mirror will rotate through an angle where l is the length of the reed. The deflection of the image of the filament on the scale is where L is the distance from the mirror to the screen. Thus the displacement of the diaphr has been amplified times, and this amplification can be made as large as desiredby making L large compared with 1.
While this invention has been disclosed with reference to various specific embodiments thereof, it will be understood that it is to be considered as limited in scope by the appended claims only.
What is claimed is: g
1. An acoustic device comprising a wall member having an opening therein for the passage of sound wave energy, said opening offering a maximum impedance to the fiow of sound energy therethrough in one direction and a minimum impedance to its fiow in the opposite direction.
2. An acoustic device comprising a wall member having an opening therein for the passage of sound wave energy, said opening, having a shape similar to that of the boundary of a stream issuing from a circular aperture in' a plate.
3. An acoustic rectifier comprising a wall member to be placed in a sound field. said member having an aperture therein, and a tubular member defining a passage in alignment with said aperture, said tubular member having a portion of constant cross-section and another portion of gradually increasing cross-section.
4. An acoustic rectifier as claimed in claim 3 in which said tubular member projects from the side of the wall member facing the source of sound waves.
5. An acoustic rectifier as claimed inclalm 3 in which said tubular member projects from the side of the wall member opposite that facing the source of sound waves.
6. An acoustic device comprising a wall member having an opening therein for the passage of sound wave energy, said opening ofiering an impedance to the flow of sound energy therethrough whose value is dependent on the direction of flow.
7. An acoustic rectifier comprising a wall member to be placed in a sound field. said member having an aperture therein, and a tubular member defining a passage in alignment with said aperture, said tubular member having a cylindrical portion and another portion of gradually increasing cross-section, the radius of curvature thereof being equal to the diameter of the cylindrical portion.
8. An acoustic rectifier comprising a hollow case having a plurality of walls, and a partition in said case dividing the interior into two chambers and having a passage therein connecting the chambers, one of said walls containing a pair of orifices one of which connects one chamber with the atmosphere outside of the case and the other of which connects the other chamber with the atmosphere outside 01' the case, air fiow through each orifice taking place with greater ease for one direction of flow therethrough then for the reverse direction, the orifices being arranged reversely with respect to one another.
9. An acoustic filter embodying an acoustic rectifier.
10. An acoustic device comprising an acoustic rectifier capable per se of rectifying a narrow band only of sound energy frequencies, and means acoustically coupled to said rectifier for broadening the band of sound energy frequencies rectifiable.
11. An acoustic device comprising an acoustic rectifier capable per se of rectifying a narrow band only of sound energy frequencies, and
difierence between said chambers when the device is placed in a sound field, the higher pressure always being present in the same chamber,
said dividing means containing a passage connecting the two chambers whereby a, unidirectional air fiow between the chambers may occur.
13. An acoustic device comprising a hollow case, and a partition dividing said case into two chambers, said case containing an orifice connecting each chamber with the atmosphere outside the case, each orifice being of greater area at one end than the other, one orifice having its small end opening into its respective chamber and the other having its large end opening into its respective chamber.
14. A'full wave acoustic rectifier comprising a wall member having a pair of spaced projecting, centrally apertured portions one portion extending rearwardly of the wall member and the other portion forwardly thereof.
15. A full wave acoustic rectifier comprising a wall member having a pair of spaced orifices each having a shape similar to that of the boundary. of a stream issuing from a circular aperture in a plate, the smaller ends of said orifices opening on opposite sides, or said wall connected, said case including a wall member having a pair of openings, one connecting with each chamber, one opening confining air flow therethrough substantially inwardly only to its associated chamber, and the other opening confining air flow therethrough substantially outwardly only from its associated chamber.
ROBERT R. Rmsz.
US42569A 1935-09-28 1935-09-28 Acoustic device Expired - Lifetime US2062478A (en)

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Cited By (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3887031A (en) * 1973-06-11 1975-06-03 Lockheed Aircraft Corp Dual-range sound absorber
US3997020A (en) * 1974-10-29 1976-12-14 Busnel Rene Guy Sound absorber
US4189027A (en) * 1976-08-19 1980-02-19 United Technologies Corporation Sound suppressor liners
US4872527A (en) * 1987-05-30 1989-10-10 Samsung Electronics Co., Ltd. Speaker system
US20090038883A1 (en) * 2005-06-14 2009-02-12 Kim Young-Ok Sound-absorbing panel
US20180030896A1 (en) * 2015-02-18 2018-02-01 Mra Systems, Inc. Acoustic liners and method of shaping an inlet of an acoustic liner

Cited By (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3887031A (en) * 1973-06-11 1975-06-03 Lockheed Aircraft Corp Dual-range sound absorber
US3997020A (en) * 1974-10-29 1976-12-14 Busnel Rene Guy Sound absorber
US4189027A (en) * 1976-08-19 1980-02-19 United Technologies Corporation Sound suppressor liners
US4872527A (en) * 1987-05-30 1989-10-10 Samsung Electronics Co., Ltd. Speaker system
US20090038883A1 (en) * 2005-06-14 2009-02-12 Kim Young-Ok Sound-absorbing panel
US20180030896A1 (en) * 2015-02-18 2018-02-01 Mra Systems, Inc. Acoustic liners and method of shaping an inlet of an acoustic liner
US10563578B2 (en) * 2015-02-18 2020-02-18 Mra Systems, Llc Acoustic liners and method of shaping an inlet of an acoustic liner

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