Acoustic Pressure Radiated by a Circular Membrane Into the Quarter-Space

Rdzanek, Wojciech P.; Szemela, Krzysztof; Pieczonka, Dawid

doi:10.2478/v10168-011-0009-9

Cited by 12 publications

(11 citation statements)

References 20 publications

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“…This quantity together with the coupling ma- * corresponding author; e-mail: wprdzank@univ.rzeszow.pl trix and the given excitation provides the total acoustic impedance. This was reported by Morse and Ingard for the acoustic wave transmission through a circular membrane in considerable detail in [16,18] and also for the acoustic power radiated into the quarter space by the membrane in [13]. The connection of the modal acoustic impedance and the coupling matrix has been described in Appendix B for the reader's convenience.…”

Section: Asymptotic Formulae For the Modal Acoustic Impedancementioning

confidence: 99%

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Asymptotic Formulae of the Modal Acoustic Impedance for the Asymmetric Vibrations of a Clamped Circular Plate

Rdzanek

Szemela

2010

Acta Phys. Pol. A

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The asymptotic and approximate formulae for the asymmetric modal acoustic self-and mutual-impedance have been presented for a clamped circular plate embedded into a flat rigid baffle. The formulae have been obtained for the wide frequency band covering the low frequencies, the high frequencies and the middle frequencies. The high frequency asymptotics have been achieved using the method of contour integral and the method of stationary phase. The products of the Bessel and Neumann functions have been expressed as the asymptotic expansions. Further, the approximate formulae valid within the low and middle frequencies have been obtained from the high frequency asymptotics using some mathematical manipulations. The formulae presented are valid for both the axisymmetric vibrations and the asymmetric vibrations.

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Section: Asymptotic Formulae For the Modal Acoustic Impedancementioning

confidence: 99%

“…The results obtained by using the exact solutions for the free vibrations have been presented in a few studies [10][11][12]. The corresponding asymptotic formulae for the acoustic impedance and the acoustic power have been reported in [13][14][15][16][17]. However, the formulae are appropriate for the axisymmetric processes only.…”

Section: Introductionmentioning

confidence: 99%

Asymptotic Formulae of the Modal Acoustic Impedance for the Asymmetric Vibrations of a Clamped Circular Plate

Rdzanek

Szemela

2010

Acta Phys. Pol. A

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“…The Green function representing the solution of the Neumann boundary value problem for the region of the three-wall corner can be written in the form of (cf. [15,16])…”

Section: Sound Pressurementioning

confidence: 99%

“…The Green function of the Neumann boundary value problem has been presented for the two-wall corner region as well as for three--wall corner region [15]. In paper [16], the sound pressure radiated by a circular piston has been obtained in the case of the both corner regions. The possibility of the active noise reduction has been examined in the case of two pistons embedded in the dierent baes of the three-wall corner [17].…”

Section: Introductionmentioning

confidence: 99%

The Total Acoustic Power of a Clamped Circular Plate Located at the Boundary of Three-Wall Corner Region

2011

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The energetic aspect of the sound radiation has been analyzed in the case of the three-wall corner region. This region is the part of space bounded by three baes arranged perpendicularly to one another. The Neumann boundary value problem has been solved assuming that the sound source is the vibrating circular plate embedded in one of the baes of the three-wall corner region. The KelvinVoigt theory of a visco-elastic plate has been used which allows to include internal attenuation existing in the plate material. It has been assumed that the sound source is excited to vibrations by the external pressure asymmetrically distributed on the plate surface. The modal coecients of the acoustic impedance have been obtained in the form of the expressions containing single integrals only. The formula describing the acoustic power of the analyzed sound source has been presented as a fourfold innite series containing the modal coecients of the acoustic impedance. The inuence of some asymmetric excitations on the acoustic power has been analyzed. The possibilities of the modelling some uniform excitations located on the plate fragment of the small area by the point force excitation has been examined. The inuence of the transverse baes on the acoustic power has also been investigated. It has been determined for which frequency the baes inuence on the acoustic power is the greatest.

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“…The plates can be used as secondary sound sources, as replacement for classical loudspeakers, but also can be used as active barriers (Fahy, Gardonio, 2007; Hansen, Snyder, 1997; Rdzanek, Zawieska, 2003), where usually single or double plates (Pietrzko, 2009) are placed between the noise source and the area where the noise sound pressure level (SPL) should be reduced. Rectangular plates are frequently used ; Gorski, Kozupa, 2012), but also other plate shapes, including circular plates Rdzanek et al, 2011;Leniowska, 2011) and triangular plates (Barański, Szela, 2008), are useful for some applications and are investigated in the literature. Also more complex structures like L-jointed plates, T-shaped plates (Keira et al, 2005) or four connected plates (Liu et al, 2010), are of scientific interest.…”

Section: Introductionmentioning

confidence: 99%

Active Noise Control with a Single Nonlinear Control Filter for a Vibrating Plate with Multiple Actuators

Mazur

Pawełczyk

2013

Archives of Acoustics

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Vibrating plates can be used in Active Noise Control (ANC) applications as active barriers or as secondary sources replacing classical loudspeakers. The system with vibrating plates, especially when nonlinear MFC actuators are used, is nonlinear. The nonlinearity in the system reduces performance of classical feedforward ANC with linear control filters systems, because they cannot cope with harmonics generated by the nonlinearity. The performance of the ANC system can be improved by using nonlinear control filters, such as Artificial Neural Networks or Volterra filters.However, when multiple actuators are mounted on a single plate, which is a common practice to provide effective control of more vibration modes, each actuator should be driven by a dedicated nonlinear control filter. This significantly increases computational complexity of the control algorithm, because adaptation of nonlinear control filters is much more computationally demanding than adaptation of linear FIR filters. This paper presents an ANC system with multiple actuators, which are driven with a single nonlinear filter. To avoid destructive interference of vibrations generated by different actuators the control signal is filtered by appropriate separate linear filters. The control system is experimentally verified and obtained results are reported.

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Acoustic Pressure Radiated by a Circular Membrane Into the Quarter-Space

Cited by 12 publications

References 20 publications

Asymptotic Formulae of the Modal Acoustic Impedance for the Asymmetric Vibrations of a Clamped Circular Plate

Asymptotic Formulae of the Modal Acoustic Impedance for the Asymmetric Vibrations of a Clamped Circular Plate

The Total Acoustic Power of a Clamped Circular Plate Located at the Boundary of Three-Wall Corner Region

Active Noise Control with a Single Nonlinear Control Filter for a Vibrating Plate with Multiple Actuators

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