Acoustic scattering on an elastic plate described by the Timoshenko model: Contact conditions and uniqueness of the solution

1998 ◽  
Vol 103 (2) ◽  
pp. 673-682 ◽  
Author(s):  
I. V. Andronov ◽  
B. P. Belinskiy
Keyword(s):  
Elastic Plate ◽  
Acoustic Scattering ◽  
Timoshenko Model ◽  
Contact Conditions ◽  
Uniqueness Of The Solution

Acoustic scattering by a finite nonlinear elastic plate. I Primary, secondary and combination resonances

1987 ◽  
Vol 414 (1846) ◽  
pp. 237-253 ◽  
Keyword(s):  
Incident Wave ◽  
Elastic Plate ◽  
Scattered Field ◽  
Acoustic Waves ◽  
Multiple Scales ◽  
Acoustic Scattering ◽  
Scattered Wave ◽  
Thin Elastic Plate ◽  
Finite Width ◽  
Wave Angle

A thin elastic plate of finite width is irradiated by time-harmonic acoustic waves. The fluid is assumed light compared with the plate mass, and the forcing term is of sufficient amplitude to necessitate the inclusion of a nonlinear term (due to mid-plane stretching) in the plate equation. The order-one scattered field is determined by the method of multiple scales when the forcing frequency approaches a free oscillation frequency (eigenfrequency) of the plate. This solution is shown to agree with previous work, for the linear problem, and can be multivalued for particular values of the plate-fluid parameters. The scattered wave may also exhibit jumps in its amplitude and phase angle as it varies with frequency, incident-wave angle or incident-wave amplitude. The non-linear term further allows the possibility of secondary and combination resonances. These are investigated and the scattered field is shown to contain terms of different frequencies to those of the incident waves. Multivalued solutions and the associated jump phenomenon are again found for these resonant cases.

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.

Acoustic scattering by a narrow crack in an elastic plate

Wave Motion ◽  
1996 ◽  
Vol 24 (1) ◽  
pp. 101-115 ◽  
Author(s):  
Ivan Andronov ◽  
Boris P. Belinskiy ◽  
Jerald P. Dauer
Keyword(s):  
Elastic Plate ◽  
Acoustic Scattering

Acoustic scattering by a finite elastic plate connecting two fluid-loaded parallel plates

1993 ◽  
Vol 443 (1918) ◽  
pp. 429-444 ◽  
Keyword(s):  
Elastic Plate ◽  
Acoustic Scattering ◽  
Elastic Plates ◽  
Parallel Plates ◽  
Fluid Loading ◽  
Heavy Fluid ◽  
Low Frequencies ◽  
Plane Sound ◽  
Two Fluid ◽  
Good Agreement

A plane sound wave is incident upon two infinite parallel elastic plates which are connected by a finite elastic plate. All three plates support compressional and bending motion, and interact with any compressible fluid with which they are in contact. A method, which can be applied to obtain numerical results, for calculating the sound scattered by the connecting plate is presented. In the absence of fluid between the plates an approximate solution, valid for low frequencies and heavy fluid-loading on the upper plate, has been derived which exhibits good agreement with results obtained numerically.

Acoustic scattering from an elastic plate supported by a rigid narrow rib

Wave Motion ◽  
2002 ◽  
Vol 35 (4) ◽  
pp. 277-287 ◽  
Author(s):  
Ivan V. Andronov ◽  
Boris P. Belinskiy
Keyword(s):  
Elastic Plate ◽  
Acoustic Scattering

THEORY OF BRILLOUIN SCATTERING BY AN ISOTROPIC ELASTIC PLATE

1984 ◽  
Vol 45 (C5) ◽  
pp. C5-103-C5-107
Author(s):  
D. R. Tilley ◽  
E. L. Albuquerque ◽  
M. C. Oliveros
Keyword(s):  
Elastic Plate ◽  
Brillouin Scattering
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