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Research Papers

Determination of the Free-Field Acoustic Radiation Characteristics of the Vibrating Plate Structures With Arbitrary Boundary Conditions

[+] Author and Article Information
Łukasz J. Nowak

Department of Intelligent Technologies,
Institute of Fundamental Technological Research,
Polish Academy of Sciences,
ul. Pawinskiego 5B,
Warszawa 02-106, Poland
e-mail: lnowak@ippt.pan.pl

Tomasz G. Zieliński

Department of Intelligent Technologies,
Institute of Fundamental Technological Research,
Polish Academy of Sciences,
ul. Pawinskiego 5B,
Warszawa 02-106, Poland
e-mail: tzielins@ippt.pan.pl

Contributed by the Noise Control and Acoustics Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received November 13, 2013; final manuscript received March 20, 2015; published online April 27, 2015. Assoc. Editor: Lonny Thompson.

J. Vib. Acoust 137(5), 051001 (Oct 01, 2015) (8 pages) Paper No: VIB-13-1400; doi: 10.1115/1.4030214 History: Received November 13, 2013; Revised March 20, 2015; Online April 27, 2015

The paper presents the developed algorithm which implements the indirect variational boundary element method (IVBEM) for computation of the free-field acoustic radiation characteristics of vibrating rectangle-shaped plate structures with arbitrary boundary conditions. In order to significantly reduce the computational time and cost, the algorithm takes advantage of simple geometry of the considered problem and symmetries between the elements. The procedure of determining the distribution of acoustic pressure is illustrated on the example of thin, rectangular plate with a part of one edge clamped and all other edges free. The eigenfrequencies and the corresponding vibrational mode shapes of the plate are computed using the finite element method (FEM). The results of the numerical simulations are compared to the results of the experiments carried out in an anechoic chamber, proving good agreement between the predictions and the observations. The reliability of simulations and high computational efficiency make the developed algorithm a useful tool in analysis of the acoustic radiation characteristics of vibrating plate structures.

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Figures

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Fig. 1

The geometry of the considered problem: plate domain

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Fig. 2

Aluminum plate structure used in the experimental investigations in an anechoic chamber

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Fig. 3

Sound pressure level as a function of the distance in the z-axis from the center of the investigated plate structure vibrating in the fifth mode: numerical simulation and measurements

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Fig. 4

Sound pressure level as a function of the distance in the z-axis from the center of the investigated plate structure vibrating in the sixth mode: numerical simulation and measurements

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Fig. 5

Sound pressure level as a function of the distance in the z-axis from the center of the investigated plate structure vibrating in the ninth mode: numerical simulation and measurements

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Fig. 6

Sound pressure level as a function of the distance in the z-axis from the center of the investigated plate structure vibrating in the thirteenth mode: numerical simulation and measurements

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Fig. 7

The distribution of sound pressure levels (dB) in the plane z = 2 cm for vibrational mode no. 5 with frequency f = 120 Hz. The surface graph illustrates the results of the numerical simulations, while the circles show values measured experimentally in corresponding points of space.

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Fig. 8

The distribution of sound pressure levels (dB) in the plane z = 2 cm for vibrational mode no. 9 with frequency f = 269 Hz. The surface graph illustrates the results of the numerical simulations, while the circles show values measured experimentally in corresponding points of space.

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Fig. 9

The distribution of sound pressure levels (dB) in the plane z = 2 cm for vibrational mode no. 11 with frequency f = 320 Hz. The surface graph illustrates the results of the numerical simulations, while the circles show values measured experimentally in corresponding points of space.

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