热弹性复合材料层合板的响应分析

Response Analysis of Composite Laminated Thermoelastic Plate

利用混合变分原理,考虑了热平衡方程与导热方程中变量的对偶关系,通过增加非齐次正则方程的维数,成功地将热弹性体机-热耦合问题的非齐次Hamilton正则方程转化为能独立求解的齐次Hamilton正则方程,所以大大简化了问题的求解。并通过数值实例研究了在温度载荷和动力载荷作用下及考虑阻尼的四边简支复合材料层合板的响应问题。

Based on the mixed variational principle, considering the symplectic relations of variations in the thermal equilibrium formulations and thermal gradient equations, the non-homogeneous Hamilton canonical equations of thermoelastic composites with mechanic-heat coupling effect, is transformed into homogeneous Hamilton canonical equations by increasing the dimensions of the non-homogeneous canonical equations, therefore, solving proceeding is simplified greatly. Through the numerical example, the response of the composite laminated thermoelastic plate with four simply supported edges under thermal and dynamic load, considering damping, is studied.