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具有自由边的复合材料层合板的解析解
引用本文:董朝文,盛宏玉.具有自由边的复合材料层合板的解析解[J].应用力学学报,2005,22(3):470-474.
作者姓名:董朝文  盛宏玉
作者单位:合肥工业大学,合肥,230009
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.

关 键 词:层合板  边界位移函数  状态方程  解析解
文章编号:1000-4939(2005)03-0470-05
收稿时间:2004-02-10
修稿时间:2004-02-102005-06-09

Analytical Solutions for Laminated Composite Plate with Free Edges
Dong Chaowen,Sheng Hongyu.Analytical Solutions for Laminated Composite Plate with Free Edges[J].Chinese Journal of Applied Mechanics,2005,22(3):470-474.
Authors:Dong Chaowen  Sheng Hongyu
Abstract: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.
Keywords:laminated plates  boundary displacement functions  state equation  analytical solution  
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