Abstract

To describe the propagation of acoustic surface waves in an anisotropic layer, a six-dimensional complex formalism is introduced, a Hamiltonian is constructed, an analogue of the Rayleigh dissipative function, and an exponential fundamental matrix. Dispersion equations are obtained for a multilayer plate with different conditions on the boundary surfaces. Examples of the application of the Cauchy formalism to the analysis of the dispersion of Lamb waves are given.

中文翻译：

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声表面波理论中的柯西形式主义

摘要

为了描述声表面波在各向异性层中的传播，引入了六维复杂形式主义，构造了哈密顿量，模拟了瑞利耗散函数，以及指数基矩阵。获得在边界表面上具有不同条件的多层板的色散方程。给出了柯西形式主义在分析兰姆波的色散中的应用实例。