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TECHNICAL PAPERS

The Analysis of Structural–Acoustic Coupling of an Irregular Enclosure Under the Excitation of Point Force and PVDF

[+] Author and Article Information
Luo Chao

Rao Zhushi1

Zhao Mei

The State Key Laboratory of Vibration, Shock and Noise, Shanghai Jiaotong University, Shanghai 200030, P.R.C.

1

Corresponding author.

J. Vib. Acoust 129(2), 202-208 (Oct 25, 2006) (7 pages) doi:10.1115/1.2424974 History: Received March 09, 2005; Revised October 25, 2006

The physical model of this paper is an irregular enclosure with double flexible plates. The primary source is the vibration of Plate A excited by a point force. The secondary source is the vibration of Plate B excited by a polyvinylidene fluoride (PVDF) actuator. First, the interaction of the PVDF actuator and a thin plate is analyzed and the distribution of strain and stress is gained. Based on the hypothesis of linear distribution of strain on two sections of the plate–film system, a formula is deduced to calculate the rate of the strain distribution. Then an experiment is proposed to test the sound pressure response in an irregular enclosure under the excitation of the PVDF actuator. Second, the theoretical formulas of the mode contributions of the two plates and the cavity are deduced. Then the formulas are converted into compact matrix equations. Thus the expression of sound response of one point in the enclosure is gained under the excitation of both the primary and the secondary sources. Based on these results, the sound pressure square is taken as the control aim function. At last the optimized curves of control voltage and control phase are achieved.

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Copyright © 2007 by American Society of Mechanical Engineers
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Figures

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Figure 1

Strain distribution of thin plate with attached PVDF (x‐z section)

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Figure 2

Static bending moment as function of nondimensional PZT thickness

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Figure 3

Irregular enclosure

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Figure 4

The position of PVDF film

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Figure 5

Sound response of microphone A to PVDF excitation (unit voltage)

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Figure 6

Collocation of the primary and the secondary sound sources of the irregular enclosure

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Figure 7

Sound pressure response to point force and PVDF excitation

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Figure 8

Difference between sound pressure responses to point force and PVDF

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Figure 9

Optimized curve of controlling voltage

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Figure 10

Optimized curve of controlling phase

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