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Passage of pressure pulses through the finite elastic plates

机译：压力脉冲通过有限的弹性板

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摘要

The solution of the unsteady acousto-elasticity problem for the finite Timo-shenko'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.
机译：提出了有限Timo-shenko板的非稳态声弹性问题的解决方案。假定该板占据了声学上刚性的挡板的一部分，覆盖了任意横截面尺寸（无限远）的矩形波导。规定考虑在障碍物后面的有限区域。基于将问题简化为各种积分微分方程的无限系统，开发了两种可能的解决方案算法。证明了该方法在无限系统中的适用性。为了估计由无限系统的截断所引起的误差以及解的迭代过程的收敛速度，进行了一些数值实验。通过与实验数据进行比较，验证了计算结果的可靠性。

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