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Rayleigh waves on the impedance boundary of a rotating monoclinic half-space
Acta Mechanica ( IF 2.3 ) Pub Date : 2021-04-12 , DOI: 10.1007/s00707-021-02959-w
Baljinder Kaur , Baljeet Singh

The characteristic equations of Rayleigh waves in monoclinic materials have already been derived by various prominent researchers. This paper revisits all these studies with special attention on numerical solutions of the characteristic equation. In this work, the propagation of a Rayleigh surface wave in a rotating monoclinic half-plane is studied. The boundary conditions on the surface of the half-space are assumed in such a way that the normal and shear stresses are linearly proportional to the normal and tangential components, respectively. With the use of the polarization vector method, a non-dimensional characteristic equation of a Rayleigh wave is derived. The main aim of this work is to explore the numerical solutions of the characteristic equation. The analytical results are illustrated graphically to show the dependence of the Rayleigh wave speed upon the rotation, impedance, and material parameters.



中文翻译:

旋转单斜半空间的阻抗边界上的瑞利波

各种著名研究人员已经推导了单斜材料中瑞利波的特征方程。本文将重新审视所有这些研究,并特别关注特征方程的数值解。在这项工作中,研究了瑞利面波在旋转的单斜面半平面中的传播。假设半空间表面上的边界条件使得法向和切应力分别与法向和切向分量成线性比例。利用偏振矢量法,推导了瑞利波的无量纲特征方程。这项工作的主要目的是探索特征方程的数值解。

更新日期:2021-04-12
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