各向异性圆柱形固体波导

A. Kleschev
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引用次数: 0

摘要

研究对象和目的。本文研究了圆柱形各向异性弹性体(正交异性壳和横向各向同性杆)的行为。其目的是使用薄壳近似和基于弹性动力学理论的严格方法,使用“德拜型”势,找到这些物体中弹性波的相速度。在以前的各向异性结构研究中,使用了各向异性介质或各向异性半空间。材料和方法。本文采用了基于弹性动力学理论和“德拜型”势的近似薄壳法和严格方法。主要结果。得到了各向异性圆柱体中弹性波相速度的求解方程。计算了各向异性圆柱杆中纵波和弯曲波的相速度。结论研究结果表明,正交各向异性壳体和横观各向同性杆中弹性波相速度的计算关系成立。
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Anisotropic solid cylindrical waveguides
Object and purpose of research. The article studies the behavior of anisotropic elastic bodies of cylindrical shape (orthotropic shell and transversely isotropic rod). The intention is to find the phase velocities of elastic waves in these bodies using thin shell approximations and a rigorous approach based on the dynamic theory of elasticity using "Debye type" potentials. In previous studies of anisotropic structures, anisotropic media or anisotropic half-spaces were used. Materials and methods. Both an approximate thin shell method and a rigorous approach based on the dynamic theory of elasticity and "Debye type" potentials are used in the paper. Main results. Equations for finding the phase velocities of elastic waves in anisotropic cylindrical bodies are obtained. Phase velocities of longitudinal and bending waves in anisotropic cylindrical rod are calculated. Conclusion. As a result of the conducted research relations for calculating the phase velocities of elastic waves in an orthotropic shell and a transversely isotropic rod were found.
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发文量
92
审稿时长
3 weeks
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