This study explores the effects of the thermal stress, rotation, and magnetic fields on the propagation of surface waves in a symmetric five-layered inhomogeneous elastic plate. The harmonic wave solution was adopted to reduce the given partial differential equations to their corresponding ordinary differential equations, which were later solved using a classical method. The Mathematica software was also employed for the numerical simulations. The dispersion relations associated with both the symmetric and antisymmetric modes have been determined and analyzed with regard to the aforementioned external effects and rotation. The variations in thermal stress positively affect the wave propagation in the plate even for relatively smaller values of the temperature variation. Also, the same trend is observed in the case of the magnetic field, but for higher values. Finally, for the rotation, it was found that the angular velocity must reach at least 10⁴ before a significant change is observed; which in fact differs from the situations of half-plane reflection and single-layered.

本研究探讨了热应力、旋转和磁场对对称五层非均匀弹性板中表面波传播的影响。采用谐波解法将给定的偏微分方程化简为相应的常微分方程，然后使用经典方法进行求解。Mathematica 软件也用于数值模拟。已经针对上述外部效应和旋转确定并分析了与对称和反对称模式相关的色散关系。即使对于相对较小的温度变化值，热应力的变化也会对板中的波传播产生积极影响。此外，在磁场的情况下也观察到相同的趋势，但值更高。最后，对于旋转，发现角速度必须至少达到10 ⁴才能观察到明显的变化；这实际上与半平面反射和单层的情况不同。