摘要
从三维弹性力学基本方程出发,通过假设自由边的边界位移函数,建立了正交异性层合板的状态方程,给出了对边自由,对边简支矩形板的解析解。此解满足层合板的基本方程和层间连续条件。用本文的方法比较容易处理层合板的自由边。算例表明,数值结果具有较高的精度。
Based on 3D fundamental equations of elasticity and by assuming boundary displacement functions associated with free edges, the state equation for orthotropic laminated plate is established and a analytical solution for rectangular plate with two opposite free edges and two opposite simply supported edges is presented. The given solution satisfies all fundamental equations of elasticity and continuity conditions between the laminates. The presented method can be used to treat free edges of laminates flexibly. The examples show a higher accuracy of this solution.
出处
《应用力学学报》
EI
CAS
CSCD
北大核心
2005年第3期470-474,共5页
Chinese Journal of Applied Mechanics
关键词
层合板
边界位移函数
状态方程
解析解
laminated plates,boundary displacement functions,state equation,analytical solution.
