EP1571650B1 - Device for producing acoustic fields with a defined modal composition - Google Patents

Device for producing acoustic fields with a defined modal composition Download PDF

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Publication number
EP1571650B1
EP1571650B1 EP04090083A EP04090083A EP1571650B1 EP 1571650 B1 EP1571650 B1 EP 1571650B1 EP 04090083 A EP04090083 A EP 04090083A EP 04090083 A EP04090083 A EP 04090083A EP 1571650 B1 EP1571650 B1 EP 1571650B1
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EP
European Patent Office
Prior art keywords
flow
arrangement
accordance
obstacles
shedding
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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 - Fee Related
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EP04090083A
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German (de)
French (fr)
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EP1571650A1 (en
Inventor
Marco Dr. Rose
Fredi Dr. Holste
Frank Dr. Arnold
Alastair David Moore
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Rolls Royce Deutschland Ltd and Co KG
Rolls Royce PLC
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Rolls Royce Deutschland Ltd and Co KG
Rolls Royce PLC
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Priority to EP04090083A priority Critical patent/EP1571650B1/en
Priority to DE502004009480T priority patent/DE502004009480D1/en
Priority to US11/068,980 priority patent/US7516815B2/en
Publication of EP1571650A1 publication Critical patent/EP1571650A1/en
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Publication of EP1571650B1 publication Critical patent/EP1571650B1/en
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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
    • G10K15/00Acoustics not otherwise provided for
    • G10K15/04Sound-producing devices
    • 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
    • G10K11/175Methods or devices for protecting against, or for damping, noise or other acoustic waves in general using interference effects; Masking sound
    • G10K11/178Methods or devices for protecting against, or for damping, noise or other acoustic waves in general using interference effects; Masking sound by electro-acoustically regenerating the original acoustic waves in anti-phase
    • 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
    • G10K2210/00Details of active noise control [ANC] covered by G10K11/178 but not provided for in any of its subgroups
    • G10K2210/30Means
    • G10K2210/321Physical
    • G10K2210/3212Actuator details, e.g. composition or microstructure

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  • Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • Acoustics & Sound (AREA)
  • Multimedia (AREA)
  • Structures Of Non-Positive Displacement Pumps (AREA)

Description

Die Erfindung betrifft eine Anordnung zur Erzeugung von Schallfeldern bestimmter modaler Zusammensetzung als simulierte Schallquelle für akustische Untersuchungen, insbesondere zur Simulation des von Rotor-Stator-Anordnungen von Turbomaschinen erzeugten Schalls oder als Gegenschallfeld zur aktiven Schallminderung.The invention relates to an arrangement for generating sound fields of certain modal composition as a simulated sound source for acoustic examinations, in particular for simulating the sound generated by rotor-stator arrangements of turbomachinery or as a counter-sound field for active noise reduction.

In vielen technischen Bereichen ist die Anwendung und der Betrieb bestimmter Vorrichtungen, wie beispielsweise Flugzeugantriebe, Fahrzeugantriebe, Verdichter, Gasturbinen, Lüftungsanlagen, Ventilatoren und dgl., mit einem unerwünschten, aero-akustisch bedingten Geräuschpegel verbunden. In solchen Anlagen, beispielsweise bei den Rotor-Stator-Systemen von Verdichtern und Gasturbinen, ist die Untersuchung der Ursachen für die Entstehung und Ausbreitung des Luftschalls oder von zur Geräuschdämpfung getroffenen Maßnahmen mit einer realitätsnahen Versuchsanlage mit einem erheblichen technischen Aufwand verbunden. Bei Turbomaschinen sind derartige Untersuchungen mit Rotor-Stator -Anordnungen möglich, die wegen der erforderlichen Antriebseinheiten, der beweglichen Teile, des hohen Gewichts und der notwendigen Steuermechanismen aufwendig und teuer sind. Außerdem ist auch die Erzeugung eines simulierten Schallfeldes zu Testzwecken oder als Gegenschallfeld zur aktiven Schallminderung, wie beispielsweise in der US 5 702 230 oder der US 5 590 849 beschrieben, mit einem beträchtlichen apparativen, steuerungstechnischen und energetischen Aufwand für die Anordnung und den Betrieb von aktiven Elementen, wie beispielsweise Lautsprecher oder piezo-elektrische Geräuschquellen, verbunden. Zusätzliche Schwierigkeiten bereiten insbesondere die Bereitstellung leistungsfähiger Aktuatoren, deren hohes Gewicht, deren Energiebedarf und deren Betrieb bei hohen Temperaturen, Drücken und Strömungsgeschwindigkeiten.In many technical fields, the application and operation of certain devices, such as aircraft engines, vehicle drives, compressors, gas turbines, ventilation systems, fans, and the like, is associated with undesirable aero-acoustic noise levels. In such systems, for example in the rotor-stator systems of compressors and gas turbines, the investigation of the causes of the formation and propagation of airborne sound or measures taken for noise reduction with a realistic test facility is associated with considerable technical effort. In turbomachinery such investigations are possible with rotor-stator arrangements, which are complicated and expensive because of the required drive units, the moving parts, the high weight and the necessary control mechanisms. In addition, the generation of a simulated sound field for test purposes or as a counter-field for active noise reduction, such as in the US 5,702,230 or the US 5,590,849 described, associated with a considerable apparatus, control technology and energy costs for the arrangement and operation of active elements, such as speakers or piezoelectric noise sources. In particular, the provision of powerful actuators, their high weight, their energy requirements and their operation at high temperatures, pressures and flow velocities pose additional difficulties.

US 2 987 033 beschreibt auch eine Anordnung zur Erzeugung simulierter Schallquellen für akustische Untersuchungen. US 2,987,033 also describes an arrangement for generating simulated sound sources for acoustic examinations.

Der Erfindung liegt die Aufgabe zugrunde, eine Anordnung zur Erzeugung von Schallfeldern bestimmten modalen Inhalts, im folgenden auch als Modengenerator bezeichnet, zur Anwendung als simulierte Schallquelle für wissenschaftlich-technische Untersuchungen oder als Gegenschallfeld zur aktiven Schallminderung anzugeben, die einfach ausgebildet ist und mit geringem Kostenaufwand hergestellt und betrieben werden kann.The invention has for its object to provide an arrangement for generating sound fields specific modal content, hereinafter referred to as a mode generator for use as a simulated sound source for scientific-technical studies or as a counter-field for active noise reduction, which is simple and low cost can be manufactured and operated.

Erfindungsgemäß wird die Aufgabe mit einer gemäß den Merkmalen des Patentanspruchs 1 ausgebildeten Vorrichtung gelöst. Weitere Merkmale und vorteilhafte Weiterbildungen der Erfindung ergeben sich aus den Unteransprüchen.According to the invention, the object is achieved with a device designed according to the features of patent claim 1. Further features and advantageous developments of the invention will become apparent from the dependent claims.

Der Grundgedanke der Erfindung besteht mit anderen Worten in der Bereitstellung eines Modengenerators, der einen von einem fließfähigen Medium, insbesondere einem Gas, durchströmten Strömungskanal mit in diesem ausgebildeten Strömungshindernissen umfasst. Die Strömungshindernisse sind so geformt, dass von diesen Wirbel aus dem strömenden Medium abgelöst werden. Die Form und Größe der Strömungshindernisse und die Strömungsgeschwindigkeit in dem Strömungskanal sind so gewählt, dass eine bestimmte Ablösefrequenz der Wirbel nicht unterschritten wird. Die Anzahl und räumliche Anordnung der Strömungshindernisse ist so eingestellt, dass ein durch die Gesamtheit der abgelösten Wirbel bedingtes, sich periodisch zeitlich und räumlich veränderndes Druckfeld erzeugt wird. Dieses Druckfeld regt ein Schallfeld von bestimmter modaler Zusammensetzung an, das auf die Wirbelablösung synchronisierend zurückwirkt. Der so durch Rückkopplung gebildete Resonanzkreis, bei dem die Wirbelablösefrequenz im Bereich der Resonanzfrequenz des anzuregenden Schallfeldes ist, stellt eine Schallwelle dar. Mit einfachsten Mitteln kann damit eine Schallquelle für bestimmte akustische Untersuchungen, zum Beispiel unter Fortfall der Stator-Rotor-Anordnung bei Triebwerksuntersuchungen, simuliert werden. Gleichermaßen können mit einer derart einfachen und kostengünstigen Anordnung Gegenschallfelder zur aktiven Schallminderung erzeugt werden. Der Apparate-, Gewichts- und Kostenaufwand kann erheblich reduziert werden.In other words, the basic idea of the invention consists in the provision of a mode generator which comprises a flow channel through which a flowable medium, in particular a gas, flows with flow obstacles formed therein. The flow obstacles are shaped so that these swirls are released from the flowing medium. The shape and size of the flow obstacles and the flow velocity in the flow channel are chosen so that a certain frequency of removal of the vortex is not exceeded. The number and spatial arrangement of the flow obstacles is set so that one through the entirety of the detached Whirl conditional, periodically and spatially changing pressure field is generated. This pressure field stimulates a sound field of a certain modal composition, which reacts synchronously to the vortex shedding. The resonant circuit thus formed by feedback, in which the vortex shedding frequency is in the range of the resonance frequency of the sound field to be excited, represents a sound wave. With the simplest means can thus a sound source for certain acoustic examinations, for example, with elimination of the stator-rotor arrangement in engine examinations, be simulated. Similarly, with such a simple and inexpensive arrangement counter-noise fields for active noise reduction can be generated. The apparatus, weight and cost can be significantly reduced.

Ein Ausführungsbeispiel der Erfindung wird anhand der Zeichnung näher erläutert. Es zeigen:

Fig. 1
eine Seitenansicht einer erfindungsgemäßen Vorrichtung zur Erzeugung modaler Schallfelder (aero-akustischer Modengenerator);
Fig. 2
die Vorrichtung nach Fig. 1 in einem Längsschnitt;
Fig. 3
eine perspektivische Darstellung der Vorrichtung nach Fig. 1;
Fig. 4
eine Seitenansicht einer anderen Ausführungsform einer Vorrichtung zur Erzeugung modaler Schallfelder;
Fig. 5
die Vorrichtung nach Fig. 4 in einem Längsschnitt;
Fig. 6
eine perspektivische Darstellung eines Strömungshindernisses gemäß der Ausführungsform nach Fig. 4;
Fig. 7
eine Schnittansicht der Stützstange des Strömungshindernisses nach Fig. 6;
Fig. 8
eine Schnittansicht des eine Wirbelablösung bewirkenden Strömungshindernisses nach Fig. 6; und
Fig. 9
eine Darstellung des Wirkprinzips der Vorrichtung zur Erzeugung modaler Schallfelder.
An embodiment of the invention will be explained in more detail with reference to the drawing. Show it:
Fig. 1
a side view of a device according to the invention for generating modal sound fields (aero-acoustic mode generator);
Fig. 2
the device after Fig. 1 in a longitudinal section;
Fig. 3
a perspective view of the device according to Fig. 1 ;
Fig. 4
a side view of another embodiment of a device for generating modal sound fields;
Fig. 5
the device after Fig. 4 in a longitudinal section;
Fig. 6
a perspective view of a flow obstacle according to the embodiment according to Fig. 4 ;
Fig. 7
a sectional view of the support rod of the flow obstacle after Fig. 6 ;
Fig. 8
a sectional view of the vortex shedding causing flow obstacle after Fig. 6 ; and
Fig. 9
a representation of the active principle of the device for generating modal sound fields.

Gemäß der Zeichnung sind in einem Strömungskanal 1 an dessen Innenumfang in regelmäßigem Abstand verteilt angeordnete Strömungshindernisse, gemäß den Figuren 1 bis 3 in Form von nur in einer Querschnittsebene angeordneten, senkrecht von der Kanalinnenwand abstrebenden, durchgehend rechteckigen Stegen 10 von gleicher Länge mit abgerundeten Kanten, vorgesehen. Das heißt, die Strömungshindernisse 2 können zur Erzeugung unterschiedlicher modaler Schallfelder auch andere Querschnittsformen aufweisen, weiter in den Kanalinnenraum hineinreichen oder näher an der Kanalwand liegen oder, wie in den Figuren 4 bis 8 dargestellt, auf Stützen im Kanal angeordnet sein oder auch als in die Kanalwand eingeformte Vertiefungen (nicht dargestellt) ausgebildet sein. Insbesondere ist die Querschnittsform der Strömungshindernisse 2 für die Ausbildung des Schallfeldes in dem Strömungskanal 1 von Bedeutung. Des Weiteren können die Strömungshindernisse 2 in ein und demselben Strömungskanal 1 auch unterschiedlich ausgebildet sein. Schließlich ist die Anordnung und Anzahl der Strömungshindernisse 2 variabel. Das heißt, die Strömungshindernisse können einzeln oder in einer größeren Anzahl auch in zwei oder mehreren Querschnittsebenen des Strömungskanals 1, und zwar auch versetzt zueinander angeordnet sein (jeweils nicht dargestellt). Der Strömungskanal 1 wird in Richtung des Pfeils 3 von einem fließfähigen Medium, hier einem Gas, durchströmt. In dem vorliegenden Fall der Simulation des Schallfeldes einer Rotor-Stator-Anordnung für eine Gasturbine, Verdichter oder dgl. handelt es sich um ein Heißgas oder ein Kaltgas. Die Ausbreitung des Schalls erfolgt gemäß dem Pfeil 4 in Strömungsrichtung 3 und entgegen der Strömungsrichtung 3. Bei der in den Figuren 4 bis 8 gezeigten Ausführungsvariante sind zur Ausbildung der Strömungshindernisse 2 Stege 11 vorgesehen, bei denen auf einer Stützstange 11a im Abstand von der Kanalinnenwand jeweils zwei Wirbelablöseabschnitte 11b im Abstand voneinander angeformt sind. Das Profil der Stützstange 11a ist, wie Fig. 7 zeigt, so geformt, das von diesem im Wesentlichen keine Wirbel abgelöst werden können.According to the drawing are distributed in a flow channel 1 at its inner circumference at regular intervals arranged flow obstacles, according to the FIGS. 1 to 3 arranged in the form of only in a cross-sectional plane, perpendicular from the channel inner wall abstrebenden, continuous rectangular webs 10 of equal length with rounded edges, provided. This means that the flow obstacles 2 can also have other cross-sectional shapes for generating different modal sound fields, extend further into the channel interior or lie closer to the channel wall or, as in FIGS FIGS. 4 to 8 represented, be arranged on supports in the channel or as formed in the channel wall recesses (not shown). In particular, the cross-sectional shape of the flow obstacles 2 for the formation of the sound field in the flow channel 1 of importance. Furthermore, the flow obstacles 2 can also be designed differently in one and the same flow channel 1. Finally, the arrangement and number of flow obstacles 2 is variable. That is, the flow obstacles may individually or in a larger number in two or more cross-sectional planes the flow channel 1, and that also be offset from each other (each not shown). The flow channel 1 is flowed through in the direction of the arrow 3 by a flowable medium, in this case a gas. In the present case, the simulation of the sound field of a rotor-stator assembly for a gas turbine, compressor or the like is a hot gas or a cold gas. The propagation of the sound is carried out according to the arrow 4 in the flow direction 3 and counter to the flow direction 3. When in the FIGS. 4 to 8 2, webs 11 are provided for forming the flow obstacles, in which two vortex separating sections 11b are formed at a distance from each other on a support rod 11a at a distance from the channel inner wall. The profile of the support rod 11a is how Fig. 7 shows, shaped, can be detached from this substantially no vortex.

Der Wirkungsmechanismus des oben beschriebenen Schallfeldgenerators (aero-akustischer Modengenerator) zur Umwandlung der Strömungsenergie des Mediums in akustische Energie eines sich in Strömungsrichtung und entgegen der Strömungsrichtung fortpflanzenden Schallfeldes wird anhand der Fig. 9 wie folgt beschrieben: Aufgrund der Strömung lösen sich am Strömungshindernis 2 periodisch Wirbel 5 und 6 ab, die in Strömungsrichtung hinter dem Strömungshindernis 2 eine Wirbelstraße 7 bilden. Die Ablösefrequenz der Wirbel 5, 6 hängt von der Strömungsgeschwindigkeit und der Form und Größe des jeweiligen Strömungshindernisses 2 ab. Infolge der durch die periodische Wirbelablösung erzeugten Wechseldrücke entstehen Töne, die sich bei und oberhalb einer bestimmten Frequenz (cut-on-Frequenz, Resonanzfrequenz) im Strömungskanal 1 ausbreiten können. Diese Frequenz hängt von der Kanalgeometrie (Querschnittsform, Abmessungen), von der Strömungsgeschwindigkeit und der Gastemperatur ab. Die durch die periodische Wirbelablösung erzeugten Töne bilden in dem Strömungskanal 1 ein akustisches Druckfeld 8, das heißt, ein modales Schallfeld oder mindestens eine akustische Mode mit in Umfangsrichtung und/oder radialer Richtung, variabler Amplitude, die synchron auf das Strömungshindernis 2 und die von diesem ausgehende periodische Ablösung der Wirbel zurückwirkt (feedback loop gemäß Pfeil 9). Es entsteht ein geschlossener Resonanzkreis zwischen der Wirbelablösung und der akustischen Mode 8 sowie der akustischen Mode 8 und der Wirbelablösung, das heißt, die akustische Mode prägt der Wirbelablösung ihre Frequenz und Phase auf und durch die synchrone Rückkopplung der Moden auf die Wirbelbildung bildet sich ein hoher Schalldruckpegel aus, der in der Lage ist, bestimmte Lärmverhältnisse in technischen Anlagen, zum Beispiel in einer Rotor-Stator-Anordnung, zu simulieren oder auch - phasenverschoben - zur aktiven Schallminderung eines vorhandenen Schalldruckpegels benutzt werden kann. Die für die Schallerzeugung erforderliche Energie wird der Energie des strömenden Mediums entzogen, jedoch ist der Energieentzug vernachlässigbar klein und ohne Einfluss auf die Wirkung der zu untersuchenden technischen Vorrichtung, z.B. einer Rotor-Stator-Anordnung einer Turbomaschine.The mechanism of action of the above-described sound field generator (aero-acoustic mode generator) for converting the flow energy of the medium into acoustic energy of a propagating in the flow direction and against the flow direction of the sound field is based on Fig. 9 As a result of the flow, vortexes 5 and 6, which form a vortex street 7 behind the flow obstacle 2 in the flow direction, detach periodically at the flow obstacle 2. The separation frequency of the vortices 5, 6 depends on the flow velocity and the shape and size of the respective flow obstacle 2. As a result of the alternating pressures generated by the periodic vortex shedding tones that can propagate at and above a certain frequency (cut-on frequency, resonance frequency) in the flow channel 1. This frequency depends on the channel geometry (cross-sectional shape, dimensions), flow rate and gas temperature. The by the periodic Vortex shedding generated tones form in the flow channel 1, an acoustic pressure field 8, that is, a modal sound field or at least one acoustic mode with circumferentially and / or radial direction, variable amplitude, the synchronous to the flow obstacle 2 and emanating from this periodic detachment of the Vortex reacts (feedback loop according to arrow 9). The result is a closed resonant circuit between the vortex shedding and the acoustic mode 8 and the acoustic mode 8 and the vortex shedding, that is, the acoustic mode imposes its frequency and phase on the vortex shedding and by the synchronous feedback of the modes to the vortex formation forms a high Sound pressure level, which is able to simulate certain noise conditions in technical systems, for example in a rotor-stator arrangement, or - phase-shifted - can be used for active noise reduction of an existing sound pressure level. The energy required for the generation of sound is removed from the energy of the flowing medium, but the energy withdrawal is negligibly small and without influence on the effect of the technical device under investigation, eg a rotor-stator arrangement of a turbomachine.

BezugszeichenlisteLIST OF REFERENCE NUMBERS

11
Strömungskanalflow channel
22
Strömungshindernisflow obstruction
33
Strömungsrichtung, StrömungsenergieflusssFlow direction, flow energy flow
44
Schallausbreitungsrichtung, akustischer EnergieflussSound propagation direction, acoustic energy flow
55
abgelöste Wirbeldetached vertebrae
66
abgelöste Wirbeldetached vertebrae
77
Wirbelstraße, aerodynamische SchallquelleVortex street, aerodynamic sound source
88th
Akust. Mode, modales Schallfeld, DruckfeldAudible. Fashion, modal sound field, pressure field
99
Feedback Loop, Rückkopplung zw. 8 und 2Feedback loop, feedback between 8 and 2
1010
Stege mit gleichbleibendem ProfilWebs with constant profile
1111
Stege mit mehreren AblöseabschnittenBars with several detachment sections
11a11a
StützstangeStabilizer
11b11b
WirbelablöseabschnittVortex shedding section

Claims (8)

  1. Arrangement for the generation of sonic fields of a specific modal composition as simulated sound source for acoustic investigations, in particular for the simulation of the sound produced by rotor-stator arrangements of turbomachines, or as opposing sonic field for active sound reduction, characterized by a flow duct (1) flown by a fluid with at least one flow obstacle (2) provided in this flow duct (1) for the periodic shedding of vortexes (5, 6) at a certain shedding frequency depending on the shape and size of the at least one flow obstacle (2) and the velocity of flow, with the number and spatial arrangement of the flow obstacles (2) being selected such that a periodically spatially and temporally changing pressure field for the excitation of a sonic field (8) of a certain modal composition is produced by the entirety of the shed vortexes which reacts synchronizingly on the vortex shedding, with a resultant resonant circuit, whose vortex shedding frequency is in the range of the resonant frequency of the sonic field to be excited, being the sound source.
  2. Arrangement in accordance with Claim 1, characterized in that several flow obstacles (2) are arranged at regular or irregular intervals in one or several cross-sectional plane(s) of the flow duct (1) both circumferentially and in the direction of flow.
  3. Arrangement in accordance with Claim 2, characterized in that the flow obstacles (2) are projections (10, 11) sticking out from the inner wall of the flow duct which are profiled such that periodic shedding of vortexes (5 and 6) for creating a vortex path (7) and sounds as well as the respective acoustic modes (8) is ensured.
  4. Arrangement in accordance with Claim 3, characterized in that the projections (11) include a stay (11 a) with one or several vortex shedding portion(s) (11 b) which are remote of the inner wall of the flow duct (1) and/or spaced from each other, with the stay being profiled such that it produces no, or only negligible, vortex shedding.
  5. Arrangement in accordance with Claim 2, characterized in that the flow obstacles (2) are cavities formed into the inner wall of the flow duct (1).
  6. Arrangement in accordance with Claim 1, characterized in that the fluid is a cold gas or a hot gas.
  7. Arrangement in accordance with Claim 1, characterized in that means for vibration excitation are provided to control the phase relation of vortex shedding at the flow obstacles.
  8. Arrangement in accordance with one of the Claims 1 to 4 and 7, characterized in that the flow obstacles (2) are adjustable in several axes.
EP04090083A 2004-03-03 2004-03-03 Device for producing acoustic fields with a defined modal composition Expired - Fee Related EP1571650B1 (en)

Priority Applications (3)

Application Number Priority Date Filing Date Title
EP04090083A EP1571650B1 (en) 2004-03-03 2004-03-03 Device for producing acoustic fields with a defined modal composition
DE502004009480T DE502004009480D1 (en) 2004-03-03 2004-03-03 Arrangement for generating sound fields with a specific modal composition
US11/068,980 US7516815B2 (en) 2004-03-03 2005-03-02 Arrangement for the generation of sonic fields of a specific modal composition

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EP04090083A EP1571650B1 (en) 2004-03-03 2004-03-03 Device for producing acoustic fields with a defined modal composition

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EP1571650A1 EP1571650A1 (en) 2005-09-07
EP1571650B1 true EP1571650B1 (en) 2009-05-13

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DE502004009480D1 (en) 2009-06-25
US7516815B2 (en) 2009-04-14
EP1571650A1 (en) 2005-09-07
US20050194206A1 (en) 2005-09-08

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