In the present work, transient response of sandwich cylindrical panel with functionally graded material (FGM) core under thermal shock was studied employing generalized coupled thermoelasticity in the framework of the Lord–Shulman formulation. Using Fourier series solution along the axial and circumferential coordinates along with state space formulation for space domain and applying Laplace transform for time domain results in state space first order differential equations that can be solved analytically. Solutions are then changed to time domain via employing inverse Laplace transform. In numerical illustration, influence of relaxation time constant, amount of thermal shock, stacking sequence and mid radius to thickness ratio on transient behavior of sandwich cylindrical panel under thermal shock are examined.

在目前的工作中，使用广义耦合热弹性在 Lord-Shulman 公式的框架中研究了具有功能梯度材料 (FGM) 芯的夹心圆柱板在热冲击下的瞬态响应。使用沿轴向和周向坐标的傅立叶级数解以及空间域的状态空间公式和时域的拉普拉斯变换产生可以解析求解的状态空间一阶微分方程。然后通过采用逆拉普拉斯变换将解转换到时域。在数值说明中，研究了弛豫时间常数、热冲击量、堆叠顺序和中径厚比对夹心圆柱板在热冲击下瞬态行为的影响。