摘要
基于含有固支边的热弹性复合材料层合板,将固支边变为简支边,由热弹性复合材料的基本方程和其包含温度的增维本构关系,利用状态空间法,推导出机—热耦合并含有固支边的热弹性复合材料层合板的非齐次状态方程;通过增维方法,将非齐次状态方程转化为齐次状态方程,并由精细积分法求解。从而得到含有固支边热弹性复合材料层合板静态问题的精确解。齐次状态方程的导出可避免矩阵求逆,提高计算效率和数值计算的稳定性。数值算例验证了方法的正确性。
Based tip on laminated thermoelastic composite plates wilh clamped edges, converting clamped edges into simply supported, the non-homogenous state equation is derived by uniting the augmented dimension constitutive relationship including temperature and state space method. The homogenous equation is obtained by using the dimensional expanding and is solved by precise integration method. ,4 static exact solution of laminated thermoelastic composite plates with elamped edges is presented. The treatment is not only avoids the inverse matrix calculations, but also improves the numerieal stability and the computing effieiency. Numerical example shows the correct of the algorithm.
出处
《机械强度》
CAS
CSCD
北大核心
2014年第1期76-80,共5页
Journal of Mechanical Strength
关键词
固支边
热弹性复合材料
层合板
精确解
齐次状态方程
Clamped edges
Thermoelastic composite
Laminated plates
Exact solution
Homogeneous stateequation
