This investigation deals with wave propagation analysis of porous metal foam resting on the Kerr substrate in the thermal environment within the framework of the refined higher-order plate theory. Different types of temperature rise are studied namely; uniform, linear and sinusoidal temperature rise. The pores are distributed through the thickness symmetrically and asymmetrically. The principle of Hamilton is employed in order to reach motion equations of porous metal foam plates. Next, governing equations of porous metal foam are derived for a refined inverse cotangential shear deformation plate and then solved analytically. The effects of various parameters including porosity coefficient, various types of porosity distribution, different types of temperature rise, length to thickness ratio, shape function, wave number and linear and shear layers of Kerr substrate on the variation of wave frequency and phase velocity of metal foam plate are covered and presented within the framework of a group of figures which can be observed in detail.

本研究在改进的高阶板理论框架内处理热环境中位于 Kerr 基底上的多孔金属泡沫的波传播分析。即研究不同类型的温升；均匀、线性和正弦的温升。孔在厚度上对称地和不对称地分布。为了得到多孔金属泡沫板的运动方程，采用了 Hamilton 原理。接着，推导了细化逆切向剪切变形板的多孔金属泡沫的控制方程，并对其进行解析求解。各种参数的影响，包括孔隙率系数、各种类型的孔隙率分布、不同类型的温升、长厚比、形状函数、