In the current work, wave propagation in simply supported (S-S) functionally graded (FG) beam is investigated while the beam is exposed to magneto-thermal environments and embedded on two-parameter elastic foundation. The mechanical properties of the structure are supposed to vary through the thickness via the exponential and power law function. The governing equations of the motion are derived by implementing Hamilton’s principle on the basis of refined higher order beam theory which can capture the shear deformation effect. Two novel metal and ceramic with interesting properties named Osmium and Silicon Carbide (SiC) are used as materials of this structure. The thermal loadings are applied to the structure with various temperature changes namely uniform, linear and sinusoidal, through the thickness. Influences of the wide range of parameters such as magnetic field intensity, slenderness ratio, various thermal loadings, exponential- and power-law exponents and elastic foundation coefficient on the wave frequency and phase velocity of the FG beam have been illustrated comparatively and the results are thoroughly discussed to obtain the highlights of each figure.

在目前的工作中，研究了简支（SS）功能梯度（FG）梁中的波传播，同时梁暴露于磁热环境并嵌入两参数弹性基础上。结构的机械性能应该通过指数和幂律函数随厚度而变化。运动的控制方程是在精确的高阶梁理论的基础上，应用汉密尔顿原理，可以捕捉剪切变形效应而导出的。两种具有有趣特性的新型金属和陶瓷被称为锇和碳化硅（SiC）作为这种结构的材料。热载荷通过厚度以各种温度变化（即均匀、线性和正弦曲线）施加到结构上。