基于等效转化关系的一维非均匀介质波动问题解析方法研究

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振动与冲击 ›› 2016, Vol. 35 ›› Issue (6) : 152-155.

论文

杨在林，王耀，黑宝平，李志东

作者信息 +

Analytical investigation of wave motion problem in one dimensional inhomogeneous medium based on equivalent transformation relationship

YANG Zai-lin，WANG Yao，HEI Bao-ping，LI Zhi-dong

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文章历史 +

摘要

基于波动方程与位移场解答等效思路，获得非均匀介质波动问题与均匀介质柱面波等效转化关系。分析发现两类问题模型间可相互转化，问题解答可相互等效。等效转化实质为几何形状与材料参数的等效关系。利用等效转化关系获得两个一维非均匀介质波动问题算例的解析解。

Abstract

Based on the idea of the equivalent wave motion equation and the equivalent displacement field solution, the equivalent transformation relationship is obtained between the wave in the 1D inhomogeneous medium and the cylindrical wave in the homogeneous medium. Each model can be transformed equivalently into another. The solutions of these two problems are equivalent each other. The nature of the equivalent transformation is the equivalent relationship between geometry and material parameters. Using this relationship, the analytic approaches can be given for two examples of the wave motion problems in the 1D inhomogeneous medium.

导出引用

杨在林，王耀，黑宝平，李志东. 基于等效转化关系的一维非均匀介质波动问题解析方法研究[J]. 振动与冲击, 2016, 35(6): 152-155

YANG Zai-lin，WANG Yao，HEI Bao-ping，LI Zhi-dong. Analytical investigation of wave motion problem in one dimensional inhomogeneous medium based on equivalent transformation relationship[J]. Journal of Vibration and Shock, 2016, 35(6): 152-155

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