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

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (6) : 152-155.

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

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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.

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inhomogeneous medium / wave motion / equivalent transformation

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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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