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首页> 外文期刊>Journal of teoretical and applied mechanics >SOLVING DIRECT AND INVERSE PROBLEMS OF PLATE VIBRATION BY USING THE TREFFTZ FUNCTIONS
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SOLVING DIRECT AND INVERSE PROBLEMS OF PLATE VIBRATION BY USING THE TREFFTZ FUNCTIONS

机译：利用TREFFTZ函数解决板振动的直接和反问题

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The paper presents an approximate method of solving direct and inverse problems which are described by a non-homogenous plate vibration equation. The key idea of the presented approach is to use solving polynomials that satisfy the considered homogenous differential equation identically. Inhomogeneity is expanded into the Taylor series and then, for each monomial, the inverse operator is calculated. In the paper, the properties of solving functions are investigated - a theorem concerning their linear independence is formulated and proved. The method of identification of the load (source) is described. It belongs to the group of inverse problems. The paper includes examples which illustrate the usefulness of the method.
机译：本文提出了一种解决非均匀板振动方程式描述的直接和逆问题的近似方法。提出的方法的关键思想是使用完全满足所考虑的齐次微分方程的求解多项式。将不均匀性扩展为泰勒级数，然后针对每个单项式，计算逆算子。本文研究了求解函数的性质-提出并证明了关于它们的线性独立性的一个定理。描述了识别负载（源）的方法。它属于反问题组。本文提供了一些实例，说明了该方法的有效性。

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