Diffraction of a Plane Sound Wave by a Semi‐Infinite Thin Elastic Plate

1959 ◽  
Vol 31 (7) ◽  
pp. 929-935 ◽  
Author(s):  
George L. Lamb
Keyword(s):  
Sound Wave ◽  
Elastic Plate ◽  
Thin Elastic Plate ◽  
Plane Sound

Acoustic scattering by a finite nonlinear elastic plate - II. Coupled primary and secondary resonances

1988 ◽  
Vol 418 (1854) ◽  
pp. 247-260 ◽  
Keyword(s):  
Elastic Plate ◽  
Acoustic Scattering ◽  
Sound Field ◽  
Thin Elastic Plate ◽  
Inviscid Fluid ◽  
Sound Waves ◽  
Secondary Resonances ◽  
Near Resonance ◽  
Plane Sound ◽  
Scattered Fields

A finite thin elastic plate is set in an infinite rigid baffle and the whole is immersed in a compressible inviscid fluid. Plane sound waves are incident on the elastic plate, and the fluid is assumed light compared with the plate density. Nonlinear terms in the plate equation have previously been found to markedly alter the scattered sound field near resonance; and it is shown in this paper that in-plane tension may result in simultaneous primary and secondary resonances. This coincidence of resonances gives rise to two scattered fields, one oscillating at the acoustic forcing frequency and the other at three times or one third of this frequency. Both terms have amplitudes which are of the same order as this incident wave and so under certain circumstances much of the incident energy is found to be scattered back off the plate at the secondary frequency.

scholarly journals Reflection function of a plane sound wave in a cylindrical tube

1987 ◽  
Vol 22 (5) ◽  
pp. 331-337 ◽  
Author(s):  
J.D. Polack ◽  
X. Meynial ◽  
J. Kergomard ◽  
C. Cosnard ◽  
M. Bruneau
Keyword(s):  
Sound Wave ◽  
Cylindrical Tube ◽  
Reflection Function ◽  
Plane Sound

The Sound Transmission Through a Baffled, Thin, Finite, Elastic Plate by Using Boundary Integral Equations

1999 ◽  
Author(s):  
Yasuhito Kawai
Keyword(s):  
Integral Equations ◽  
Elastic Plate ◽  
Boundary Integral Equations ◽  
Sound Transmission ◽  
Coupled System ◽  
Boundary Integral ◽  
Image Method ◽  
Thin Elastic Plate ◽  
Control Engineering ◽  
Sound Fields

Abstract The prediction of sound transmission through a thin elastic plate such as a window is an important problem in the field of noise control engineering. Integral equations which express sound fields in infinite half spaces which are divided off by the baffle and the elastic plate are introduced and combined with the equation of plate vibration to solve as a coupled system. The image method is used in every equation to reduce unknown functions and boundaries which should be considered. Some numerical examples are solved numerically to examine the method.

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