Abstract The present paper deals with the study of the wave propagation in a homogeneous transversely isotropic magneto-thermo-piezoelectric cylindrical material, under the influence of rotation, in the context of the linear theory of thermoelasticity. The displacement, electric potential, magnetic potential, electrostatic displacement, and magnetic induction functions are introduced to uncouple the equations of motion, with boundary conditions. After deriving secular equations in closed form and isolated mathematical conditions, the effect of rotation, phase velocity, attenuation coefficient profiles and relative frequency shift on dispersion curves is studied. The study is very helpful in the development of rotation sensors and other piezoelectric devices. The numerical results of the physical quantities have been illustrated graphically.

中文翻译：

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旋转作用下磁压电热弹性材料应力问题的解析解

摘要 本文在热弹性线性理论的背景下，研究了在旋转影响下均匀横向各向同性磁热压电圆柱材料中的波传播。引入位移、电势、磁势、静电位移和磁感应函数来解耦运动方程和边界条件。在推导出封闭形式和孤立数学条件的长期方程后，研究了旋转、相速度、衰减系数分布和相对频移对色散曲线的影响。该研究对旋转传感器和其他压电设备的发展非常有帮助。物理量的数值结果已用图形说明。