为了研究对称热冲击作用下三明治板的广义热弹动态响应,假定三明治板连接界面处为零阻抗理想黏结,材料特性参数随温度变化,采用分数阶广义热弹性理论,给出了层合板广义热弹耦合的控制方程.基于拉普拉斯变换及其数值反变换对控制方程进行求解,得到了无量纲温度、位移及应力的数值解.重点讨论了热传导系数、密度和比热容等材料参数在界面处的变化对热传递及结构响应的影响,同时考虑了分数阶参数及温度相关性参数的影响效应.计算结果表萌,温度、位移和应力#面处材料热传导系数、密度和比热容的减小而墙知;分数阶参蠢对温度和应力的影响较大,对位移影响较小;温度、位移和应力的幅li随温度相吴性参数的增大而减小.界面此##热#导系数、密度和比热容的减小促进热沿板厚方向的#專,分数於理论和##鉍温度#关性;4温度、位移和应;的分希影响显著.
To investigate the generalized thermoelastic dynamic response of a sandwich plate subjected to symmetrical thermal shock,assuming that the value of thermal impedance at the interface is zero with ideal adhesion and the material properties change with the temperature,the governing equations of the layered plate with generalized thermoelasticity coupling are formulated based on the fractional order generalized thermoelasticity theory.The governing equations are solved based on Laplace transform and its numerical inversion,and the numerical values of the non-dimensional temperature,displacement,and stress are obtained.The effects of material parameters alteration including the thermal conductivity,density and heat capacity at the interface on the heat transfer and structure response are studied,and the effects of the fractional order parameter and temperature-dependent parameter are considered at the same time.The numerical results show that the values of temperature,displacement and stress increase with decreasing thermal conductivity,density and heat capacity at the interface.The fractional order parameter has a significant effect on temperature and stress,and a slight effect on displacement;the amplitudes of temperature,displacement,and stress decline with increasing temperature-dependent parameter.The decreases of thermal conductivity,density and heat capacity at the interface promote the heat transfer through the thickness direction of the plate,and the fractional-order theory and material temperature dependence have significant effects on the distributions of temperature,displacement,and stress are significant.