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Sound is a wave pressure which propagates through an elastic or compressible medium. The pressure wave may be produced by vibrations of an elastic structure which is in contact with the medium. Therefore, the propagated wave may be used to collect some useful data about the geometrical and the physical characteristics of the sound source. In this study, a simply-supported rectangular plate stimulated by a harmonic force and attached to a viscous damper in specific locations, is considered. The governing equations of the plate are derived using Lagrange method. Then, these equations are solved employing Helmholtz–Kirchoff integral and Fourier transforms to measure near filed and far field scattered acoustic pressure. In the sequel, assuming the location of the damper and the applied force to be unknown, we have used the sound recorded by a microphone array to identify the force and the damper locations and also to find vibration stream lines, in a reverse manner. Numerical simulations confirm the applicability of the proposed method. The obtained data may be used to suggest proper mechanisms for absorption and damping of the vibration energy.

Keywords: Acoustic, plate Vibration, Stream Line

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