Abstract—

The determining problem of the variable characteristics of an elastic rod made of a functionally graded material based on acoustic sounding data is considered. The amplitude-frequency characteristics of the rod during longitudinal and bending vibrations are used as additional information. A system of nonlinear integral equations is derived, the solution of which is based on an iterative scheme. The conditions under which the reconstruction is carried out in a unique way are presented. The results of computational experiments are discussed.

中文翻译：

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功能梯度材料制成的杆件力学性能的确定

摘要-

考虑基于声测数据确定由功能梯度材料制成的弹性杆的可变特性的确定问题。纵向和弯曲振动过程中杆的振幅-频率特性用作附加信息。推导了非线性积分方程组，其解基于迭代方案。提出了以独特的方式进行重建的条件。讨论了计算实验的结果。