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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN 印刷: 2152-5102
ISSN オンライン: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v28.i3.60
11 pages

Passage of Pressure Pulses through the Finite Elastic Plates

L. B. Lerman
Special Design and Engineering Office of S. P. Timoshenko's Institute of Mechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine

要約

The solution of the unsteady acousto-elasticity problem for the finite Timoshenko's plates is presented. The plate is assumed to occupy a part of an acoustically stiff baffle, covering a rectangular wave-guide of arbitrary cross-sectional dimensions (up to infinite extent). Provision is made for consideration of a finite field behind the obstacle. Two possible algorithms of the solution, based on reduction of the problem to various infinite systems of integro-differential equations, are developed. Applicability of the method of reduction to the infinite systems is justified. Several numerical experiments are performed in an effort to estimate both the error, caused by truncation of the infinite systems, and the rate of convergence of the iterative procedure of the solution. Reliability of the computational results is verified by comparison with the experimental data.


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