EP0817164B2 - Geräuschabsorbierende Strukturen und daraus hergestellte Wände - Google Patents

Geräuschabsorbierende Strukturen und daraus hergestellte Wände Download PDF

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Publication number
EP0817164B2
EP0817164B2 EP97401411A EP97401411A EP0817164B2 EP 0817164 B2 EP0817164 B2 EP 0817164B2 EP 97401411 A EP97401411 A EP 97401411A EP 97401411 A EP97401411 A EP 97401411A EP 0817164 B2 EP0817164 B2 EP 0817164B2
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EP
European Patent Office
Prior art keywords
membrane
structure according
frame
plates
structures
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Expired - Lifetime
Application number
EP97401411A
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English (en)
French (fr)
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EP0817164A1 (de
EP0817164B1 (de
Inventor
Jean-Claude Guilloud
Dominique Collin
Jacques Julliard
Christine Fumoux
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Safran Aircraft Engines SAS
Bertin Technologies SAS
Original Assignee
Bertin et Cie SA
SNECMA Moteurs SA
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Application filed by Bertin et Cie SA, SNECMA Moteurs SA filed Critical Bertin et Cie SA
Publication of EP0817164A1 publication Critical patent/EP0817164A1/de
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    • GPHYSICS
    • G10MUSICAL INSTRUMENTS; ACOUSTICS
    • G10KSOUND-PRODUCING DEVICES; METHODS OR DEVICES FOR PROTECTING AGAINST, OR FOR DAMPING, NOISE OR OTHER ACOUSTIC WAVES IN GENERAL; ACOUSTICS NOT OTHERWISE PROVIDED FOR
    • G10K11/00Methods or devices for transmitting, conducting or directing sound in general; Methods or devices for protecting against, or for damping, noise or other acoustic waves in general
    • G10K11/16Methods or devices for protecting against, or for damping, noise or other acoustic waves in general
    • G10K11/172Methods or devices for protecting against, or for damping, noise or other acoustic waves in general using resonance effects

Definitions

  • the invention generally relates to structures of noise absorption and walls formed at means of these structures and more particularly such light and compact structures, applicable especially in the aeronautical industry for the equipment of reactors, their nacelles and cabins of aircraft, in the transportation industry, in the industry of the building, etc ...
  • the present invention aims to provide important improvements to these structures.
  • an absorption structure noise including a support frame on which is stretched and fixed a waterproof membrane of which the outside face of the frame receives acoustic waves, a gas such as air filling a volume delimited by the frame and the membrane, and energy dissipation means housed in this volume, characterized in that the means of dissipation are gas rolling type, electrostatic type or of the electromagnetic type and are modifiable, adjustable or controllable for modification or adaptation of the acoustic impedance of said structure with the characteristics noise to absorb, the above structure is closed so waterproof and contains an expandable volume element and contractile such as a balloon or a bellows for example, filled with air and communicating with the outside through an orifice of static pressure equalization, this occupying element a significant fraction of the volume of said structure.
  • an expandable volume element and contractile such as a balloon or a bellows for example
  • the structures according to the invention thanks to the fact that their acoustic impedances are changeable or adjustable, can be designed or adjusted to absorb incident noise or to deflect it by reflection, by example according to the positions they occupy in a noise absorption or protective wall against noise.
  • the energy dissipation means are of the rolling type gas and include plates arranged inside from the frame, a short distance from the membrane, and means for modifying this distance.
  • the means at gas rolling dissipation include at least a gas flow passage connecting a chamber closed delimited inside the frame by the membrane to another room located inside said structure.
  • this passage can be a conduit formed between two superimposed plates associated with means for modifying or adjusting the distance between them for modification or adjustment of the section of passage of the conduit.
  • the gas rolling dissipation means include rods carried by the membrane and extending perpendicularly to it inside the frame in fixed tubes which are closed at their opposite end to the membrane and which delimit with the rods of the conduits gas rolling annulars.
  • the energy dissipation means include electrode plates arranged in parallel to the membrane at a distance from it, and at least another electrode formed on the membrane and connected with said plates to polarization means such that a direct current source associated with a circuit electrical or electronic including elements of energy dissipation by Joule effect.
  • the membrane may have one or more metallized zones opposite the plates aforementioned electrodes, or else it is made in an electrically charged plastic, to which case the polarization means are not necessary.
  • Elements of energy dissipation by effect Joule include for example an electrical resistance, advantageously adjustable, the structure according to the invention then comprising controlled means of adjustment of the value of this resistance for adaptation acoustic impedance.
  • the energy dissipation means are of the electromagnetic type and include electrical conductors displaced by the membrane in relation to elements magnetic carried by the frame or made up by it, the aforementioned electrical conductors comprising for example windings connected to the membrane or one or more printed electrical circuits or deposited on the membrane.
  • a membrane can be used magnetic displaceable with respect to an electrical circuit.
  • Each structure of the aforementioned type is intended to be juxtaposed and assembled to a plurality of structures of the same type to form a flat or curved wall, convex or concave in which the structures have similar or different acoustic impedances to absorb noise or deflect it by reflection According to the case.
  • the means of dissipation energy of at least some of the structures are associated to means for controlling, adjusting or control themselves controllable by a processing system some information.
  • the noise absorption structure according to the invention essentially comprises a thin gas-tight membrane 10 which is stretched and fixed on the upper face of a frame support 12, the upper part of which is formed with partitions perpendicular to the membrane and whose part lower 16 has a parallel bottom wall 18 to the membrane.
  • the membrane 10 can be produced in particular plastic, elastomer, metal or in any material allowing a membrane to be produced thin enough and flexible to be deformable by acoustic waves to absorb.
  • This membrane being fragile, acoustically transparent means (not shown) are provided to cover and protect it external mechanical attack, these means being for example constituted by a metallic fabric associated with a layer of glass wool or the like.
  • the support frame 12 is made of any material rigid suitable, in particular of metal or material plastic, depending on the applications to which the structure according to the invention is intended.
  • the membrane 10 can be fixed on the frame 12 by its edges 20 folded over the periphery of the part upper part of the frame 12.
  • An surround 22 can be attached to the periphery of the frame 12 as shown schematically in Figure 1 to ensure the connection structures between them, for example thanks to attachment or assembly means 24 such as tenons and dovetail grooves.
  • this element 26 can be constituted by a flexible balloon or a bellows connected to the outside by a passage or orifice 28 of static pressure equalization, crossing for example the bottom wall 18 of the frame 12.
  • This element 26 occupies a relatively significant volume delimited by frame 12 and the membrane 10, for example about a third of this volume.
  • the pressure or the gas temperature increases or decreases so corresponding to the interior of element 26 and compensates at least partially the pressure variations at inside the structure, which makes it possible to membrane 10 almost insensitive to variations in external static pressure and temperature.
  • the elements 26 allow each structure to be adapted to changes static pressure in the duct.
  • the membrane 10 can be fixed by gluing on the upper peripheral part of the frame 12, as already indicated, as well as on the upper edges of the partitions internal 14 of frame 12.
  • the internal partitions 14 of the frame 12 can be replaced by perpendicular studs 30 at the membrane and on whose ends the membrane can be fixed by gluing.
  • the studs 30 can be carried by a plate openwork 32, by a grid, or by any other means appropriate.
  • the noise absorption structure according to the invention also includes means of dissipation of energy of which various embodiments are represented by way of example in FIGS. 4 to 13.
  • the means of energy dissipation are of the gas rolling type (for example air).
  • the internal partitions 14 of the frame 12 delimit with the membrane 10 of the chambers 34 closed by a wall bottom 36 and which communicate with the lower volume of the frame 12 by a conduit 38 of relatively cross section small and relatively long compared to to its section, allowing energy dissipation by laminar gas flow.
  • the conduit 38 is replaced by a channel 40 formed in hollow in the upper face of the bottom wall 36 to which is associated with a cover plate 42 which constitutes the upper wall of channel 40.
  • An orifice 44 of the plate 42 connects the chamber 34 to the channel 40, while an orifice 46 of the bottom wall 36 connects the channel 40 at the lower volume of the frame 12.
  • the channel 40 can be formed in a spiral in the bottom wall 36 of the chamber 34.
  • the membrane 10 deforms and behaves like a very damped oscillator whose frequency central is a function of the membrane tension, of its density and thickness, between other.
  • the deformation of the membrane causes a laminar gas flow in the dissipating means of energy constituted by the conduit 38 or the channel 40.
  • the acoustic impedance of a structure according to the invention is perfectly suited to the characteristics incident noise when it is completely absorbed, without reflection by the membrane.
  • the invention provides means for modify, adjust or control this acoustic impedance.
  • the means of energy dissipation include a channel 40 of the type shown in Figures 5 and 6, modification or adjustment acoustic impedance can be obtained by variation of the cross section of channel 40.
  • modification or adjustment acoustic impedance can be obtained by variation of the cross section of channel 40.
  • FIG. 7 we can form, on the face of the plate 42 which is turned on the side of the bottom wall 36, ribs in projection 48 engaged with a small clearance in the channel 40 of the plate 36, and means 50 are provided for modification the distance between the plate 42 and the wall of bottom 36, these means 50 being for example of the type memory of shape or piezoelectric type, controlled by an appropriate electrical circuit.
  • the membrane 10 carries rods 52 which extend inside of the support frame, perpendicular to the membrane, and which are engaged in tubes 54 carried by an intermediate wall 36 of the support frame, so that the displacement of the rods 52 in the tubes 54 caused by deformations of the membrane 10 results in a laminar gas flow in the tubes 54 and by a corresponding energy dissipation.
  • the means of energy dissipation are also gas rolling type and include horizontal plates 56 arranged parallel to the membrane 10 and a short distance from it inside the frame support, these plates 56 being carried by means 58 making it possible to modify the distance d between the membrane 10 and the plates 56.
  • these means 58 are carried by the intermediate wall 36 and include controlled shape memory elements by an appropriate electrical circuit 60.
  • the energy dissipation means include plates electrodes 62 arranged inside the frame of support, parallel to the membrane 10 and at a short distance of it, and for example carried by the wall intermediate 36 of the support frame through dielectric elements 64.
  • the membrane 10 comprises electrodes associated with the plates 62, such as example that metallized zones 66 of its surface, these zones 66 and the plates 62 being connected to the poles from a direct current source 68 via an energy dissipating element such as a resistor electric 70 which is advantageously a resistance variable controlled by an appropriate means 72, resistance 70 absorbing energy by the Joule effect and variation of its value allowing to modify the impedance acoustics of the structure according to the invention.
  • holes 74 are drilled in the electrode plates 62 to avoid any rolling effect gas between them and the membrane 10.
  • the electrostatic attraction exerted by plates 62 on the membrane plays the role of an anti-stiffness dynamic which opposes the stiffness of the contained gas in the structure. This reduces the thickness (or height) total of the structure and therefore its size.
  • the membrane 10 and / or the plates electrodes 62 could consist of an electret, such as for example a plastic material of the polyurethane type or PVDF permanently electrically charged, the means for biasing the electrodes being then deleted.
  • the energy dissipation means are of the electromagnetic type.
  • the membrane 10 is connected, inside the frame, to electric windings 76 movable relative to magnetic elements 78 constituting by example the intermediate wall 34 of the support frame.
  • parts 78 protruding towards the membrane can be pierced with through holes 80.
  • magnetic elements 82 e.g. permanent magnets
  • electrical conductors 84 are carried by the latter, by being constituted for example by a or electrical circuits printed or deposited on the membrane. The displacement of these electrical conductors 84 in the magnetic field lines of elements 80 results in energy dissipation.
  • FIG. 13 it is a part of the support frame 12 which can be produced made of magnetic material and constitute a permanent magnet whose field lines can be cut by the electrical conductors 84 of the membrane 10 for an energy dissipation effect.
  • a membrane is used magnetic which moves relative to a circuit electric to dissipate energy.
  • the elementary noise absorption structures which have just been described can be assembled together to form flat, curved, concave or convex walls, of large dimension.
  • the elementary structures of FIGS. 4, 5, 8 and 9 can have dimensions, on the surface, of the order of 5 ⁇ 5 cm 2 and can be combined to form a structure of the type of that represented in FIG. 1 having a surface of the order of 20 x 20 cm 2 , the heights of these structures generally being between 15 and 50 mm.
  • the acoustic impedances of elementary structures can be adjusted individually or in small groups of structures.
  • Adjusting the acoustic impedances makes it possible to have an impedance well suited for certain surface areas of a wall with maximum absorption of the incident noise, while other surface areas of the wall will have different impedances to partially absorb the noise incident and partially reflect it in a determined direction.
  • the possibility of impedance adjustment acoustics of each elementary structure allows to obtain a spatial evolution of the characteristics acoustics of a wall.
  • the structures according to the invention such as those of figure 2, adapt automatically to variations in external static pressure and for example to the evolution of the static pressure in a conduit.

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  • Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • Acoustics & Sound (AREA)
  • Multimedia (AREA)
  • Soundproofing, Sound Blocking, And Sound Damping (AREA)
  • Electrostatic, Electromagnetic, Magneto- Strictive, And Variable-Resistance Transducers (AREA)

Claims (14)

  1. Geräuschabsorptionsstruktur, die einen Tragrahmen (12) umfasst, auf dem eine undurchdringliche Membran (10) aufgespannt und befestig ist, wobei die Außenseite des Rahmens akustische Wellen aufnimmt, ein Gas wie z.B. Luft ein inneres Volumen ausfüllt, das durch den Rahmen (12) und die Membran (10) begrenzt ist, und ein in diesem Volumen angeordnete Energiedissipationseinrichtungen umfasst, dadurch gekennzeichnet, dass die Dissipationseinrichtungen als Einrichtung zur Gasdrosselung, als Einrichtung elektrostatischer oder elektromagnetischer Art ausgebildet und veränderbar, einstellbar oder steuerbar sind zur Änderung der akustischen Impedanz der besagten Struktur je nach Eigenschaften der zu absorbierenden Geräusche und die Struktur dicht abgeschlossen ist und ein Volumenelement (26) enthält, das sich ausdehnen und zusammenziehen kann wie beispielsweise ein Ballon oder ein Blasebalg, das mit Luft gefüllt und mit dem Äußeren durch ein Öhr (28) zum Ausgleich des statischen Drucks verbunden ist, wobei dieses Element (26) einen beachtlichen Teil des inneren Volumens der besagten Struktur einnimmt.
  2. Struktur gemäß Anspruch 1, dadurch gekennzeichnet, dass die Energiedissipationseinrichtungen als Gasdrosselungseinrichtung ausgestaltet sind und Platten (56), die im Inneren des Rahmens (12) in geringem Abstand zur Membran (10) angeordnet sind, und Einrichtungen (58, 60), um diesen Abstand zu verändern, umfassen.
  3. Struktur gemäß Anspruch 1, dadurch gekennzeichnet, dass die Energiedissipationseinrichtungen durch Gasdrosselung mindestens einen Durchgang oder Kanal (38) für die Gasströmung umfassen, der eine geschlossene Kammer (34), die im Inneren des Rahmens (12) von der Membran (10) begrenzt wird, mit einer anderen Kammer verbindet, die sich im Inneren der besagten Struktur befindet.
  4. Struktur gemäß Anspruch 3, dadurch gekennzeichnet, dass der besagte Durchgang ein Kanal (40) ist, der zwischen zwei übereinanderliegenden Platten (36, 42) gebildet wird.
  5. Struktur gemäß Anspruch 4, dadurch gekennzeichnet, dass sie Einrichtungen (48, 50) zur Änderung des Kanalquerschnitts (40) durch Änderung des Abstands zwischen zwei übereinanderliegen Platten (36, 42) umfasst.
  6. Struktur gemäß Anspruch 1, dadurch gekennzeichnet, dass die Dissipationseinrichtungen zur Gasdrosselung Stäbe (52) umfassen, die von der Membran (10) getragen werden und sich senkrecht zu dieser im Inneren des Rahmens in festen Röhren (54) erstrecken, die an ihrem der Membran (10) gegenüberliegenden Ende geschlossen sind und die mit den Stäben (52) ringförmige Leitungen für die Gasdrosselung begrenzen.
  7. Struktur gemäß einer der vorstehenden Ansprüche, dadurch gekennzeichnet, dass ihr durch dir Membran (10), den Tragrahmen (12) und eine Bodenwand (18), die von dem Rahmen (12) getragen wird, begrenztes Volumen einstellbar ist, beispielsweise mittels eines aufblasbaren Elements, das sich im Inneren des Rahmens befindet.
  8. Struktur gemäß Anspruch 1, dadurch gekennzeichnet, dass die Energiedissipationseinrichtungen elektrostatischer Art plattenförmige Elektroden (62) umfassen, die parallel und in einem Abstand zur Membran (10) angeordnet sind, und mindestens eine weitere Elektrode, die auf der Membran gebildet und mit den besagten Platten (62) mit Polarisationseinrichtungen (68) verbunden ist, die Energiedissipationselemente wie zum Beispiel einen elektrischen Widerstand (70) enthält.
  9. Struktur gemäß Anspruch 8, dadurch gekennzeichnet, dass sie Einrichtungen (72) umfasst, um den Wert des elektrischen Widerstands (70) einzustellen.
  10. Struktur gemäß Anspruch 8 oder 9, dadurch gekennzeichnet, dass die Membran (10) einen oder mehrere, den vorgenannten plattenförmigen Elektroden (62) gegenüberstehende metallisierte Bereiche (66) aufweist.
  11. Struktur gemäß Anspruch 1, dadurch gekennzeichnet, dass die Energiedissipationseinrichtungen elektrostatischer Art plattenförmige Elektroden umfassen, die parallel und mit einem Abstand zur Membran angeordnet sind, und mindestens eine weitere Elektrode, die durch die Membran (10) gebildet wird, wobei diese und/oder die Platten (62) ständig elektrisch geladen sind.
  12. Struktur gemäß Anspruch 1, dadurch gekennzeichnet, dass die Dissipationseinrichtungen elektromagnetischer Art eine magnetische Membran, die gegenüber einem elektrischen Leiter verschoben ist, oder elektrische Leiter umfassen, die durch die Membran (10) gegenüber den magnetischen Elementen (78, 82) verschoben sind, die vom Rahmen (12) getragen werden oder von diesem gebildet werden, wobei die elektrischen Leiter beispielsweise Wicklungen (76) umfassen, die mit der Membran (10) oder mit auf der Membran aufgedruckten oder aufgetragenen Stromkreisen (84) verbunden sind.
  13. Struktur gemäß einer der Ansprüche 1 bis 12, dadurch gekennzeichnet, dass sie neben einer Vielzahl von Strukturen der gleichen Art angeordnet und mit ihr verbunden ist, um so eine ebene oder gebogene, konvexe oder konkave Wand zu bilden, in der die Strukturen ähnliche oder unterschiedliche akustische Impedanzen haben, um je nachdem die Geräusche zu absorbieren oder sie durch Reflexion umzulenken.
  14. Wand, die eine Vielzahl von Strukturen gemäß Anspruch 13, umfasst, dadurch gekennzeichnet, dass die Energiedissipationseinrichtungen zumindest bestimmter der besagten Strukturen mit Bedienungs-, Einstell ― oder Steuereinrichtungen verbunden sind, die selbst über ein Datenverarbeitungssystem steuerbar sind und beispielsweise an die zu absorbieren Geräusche und ihre Änderung angepasst werden können.
EP97401411A 1996-06-28 1997-06-19 Geräuschabsorbierende Strukturen und daraus hergestellte Wände Expired - Lifetime EP0817164B2 (de)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
FR9608064 1996-06-28
FR9608064A FR2750527B1 (fr) 1996-06-28 1996-06-28 Structures d'absorption de bruit et parois constituees de ces structures

Publications (3)

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EP0817164A1 EP0817164A1 (de) 1998-01-07
EP0817164B1 EP0817164B1 (de) 2001-11-28
EP0817164B2 true EP0817164B2 (de) 2004-08-25

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US (1) US6332027B1 (de)
EP (1) EP0817164B2 (de)
CA (1) CA2209302C (de)
DE (1) DE69708523T3 (de)
FR (1) FR2750527B1 (de)

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US5919029A (en) * 1996-11-15 1999-07-06 Northrop Grumman Corporation Noise absorption system having active acoustic liner
FR2767410B1 (fr) * 1997-08-14 1999-10-29 Thomson Marconi Sonar Sas Absorbeur acoustique sous-marin
US6382603B1 (en) * 2001-02-08 2002-05-07 Lockheed Martin Corporation Ridged elastomer mount
ES2400912T3 (es) * 2004-08-06 2013-04-15 Niels Werner Larsen Método, dispositivo y sistema para modificar el tiempo de reverberación de una sala
US7992678B2 (en) 2005-05-12 2011-08-09 Pilaar James G Inflatable sound attenuation system
JP4782193B2 (ja) * 2005-05-13 2011-09-28 ラルセン、ニールス、ヴェルナー 空間の残響時間を変更する方法、装置、及びシステム
US7819221B1 (en) * 2005-09-27 2010-10-26 The United States Of America As Represented By The Secretary Of The Air Force Lightweight acoustic damping treatment
US8295505B2 (en) * 2006-01-30 2012-10-23 Sony Ericsson Mobile Communications Ab Earphone with controllable leakage of surrounding sound and device therefor
JP2008213547A (ja) * 2007-02-28 2008-09-18 Nissan Motor Co Ltd 騒音制御装置
RU2357109C1 (ru) * 2007-11-07 2009-05-27 Международный Научно-Исследовательский Институт Проблем Управления (Мниипу) Устройство и способ для воздействия на вихревые структуры в турбулентной воздушной струе
US20170040014A1 (en) * 2015-08-07 2017-02-09 Alcatel-Lucent Usa Inc. Acoustic Noise Attenuation Device, Assembly And Metamaterial Structure
CN110106999A (zh) * 2019-03-29 2019-08-09 深圳中天精装股份有限公司 一种装配式建筑吸音木隔墙及其设计方法

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Publication number Priority date Publication date Assignee Title
US4068736A (en) 1975-04-14 1978-01-17 Tempmaster Corporation Method and device for reducing noise
DE2834823B1 (de) 1978-08-09 1979-10-25 Messerschmitt Boelkow Blohm Volumenaendernde Resonatoren nach dem Tellerfeder-Prinzip
EP0244755B1 (de) 1986-05-06 1991-02-06 Stankiewicz GmbH Bauelement mit akustischen Eigenschaften
DE4228356A1 (de) 1992-08-26 1994-03-03 Deutsche Aerospace Hohlraumresonator
DE9418063U1 (de) 1994-11-11 1995-01-19 Wilhelmi Werke Gmbh & Co Kg Bauelement zur Schall-Absorption
DE9414943U1 (de) 1994-09-14 1996-01-18 Faist M Gmbh & Co Kg Folienresonanzabsorber

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FR2715244B1 (fr) * 1994-01-19 1996-03-29 Bertin & Cie Procédé et dispositif d'absorption de l'énergie d'ondes acoustiques.
US5778081A (en) * 1996-03-04 1998-07-07 United Technologies Corp Active noise control using phased-array active resonators
JP3510427B2 (ja) * 1996-08-15 2004-03-29 三菱重工業株式会社 能動吸音壁

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Publication number Priority date Publication date Assignee Title
US4068736A (en) 1975-04-14 1978-01-17 Tempmaster Corporation Method and device for reducing noise
DE2834823B1 (de) 1978-08-09 1979-10-25 Messerschmitt Boelkow Blohm Volumenaendernde Resonatoren nach dem Tellerfeder-Prinzip
EP0244755B1 (de) 1986-05-06 1991-02-06 Stankiewicz GmbH Bauelement mit akustischen Eigenschaften
DE4228356A1 (de) 1992-08-26 1994-03-03 Deutsche Aerospace Hohlraumresonator
DE9414943U1 (de) 1994-09-14 1996-01-18 Faist M Gmbh & Co Kg Folienresonanzabsorber
DE9418063U1 (de) 1994-11-11 1995-01-19 Wilhelmi Werke Gmbh & Co Kg Bauelement zur Schall-Absorption

Also Published As

Publication number Publication date
EP0817164A1 (de) 1998-01-07
FR2750527A1 (fr) 1998-01-02
DE69708523T2 (de) 2002-06-13
DE69708523T3 (de) 2005-06-09
CA2209302A1 (fr) 1997-12-28
EP0817164B1 (de) 2001-11-28
CA2209302C (fr) 2010-12-14
FR2750527B1 (fr) 1998-08-21
DE69708523D1 (de) 2002-01-10
US6332027B1 (en) 2001-12-18

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