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含固支边的强厚度层合板解析解的改进方法
引用本文:刘艳红,陈庆远,蔡宇.含固支边的强厚度层合板解析解的改进方法[J].中国民航学院学报,2008,26(6):27-31.
作者姓名:刘艳红  陈庆远  蔡宇
作者单位:中国民航大学航空工程学院,天津300300
基金项目:天津市自然科学基金项目  
摘    要:基于含固支边层合板的非齐次状态方程,应用增维方法,建立了齐次状态方程,给出了静力问题的解析解。这种方法对于程序的实现和数值运算稳定性的提高十分有利,在求解的过程中避免了矩阵求逆,且大大提高了计算效率。数值算例显示了本文的方法是正确的。

关 键 词:层合厚板  非齐次状态方程  齐次状态方程  增维方法

Improved Approach to Thick Laminated Plates with Clamped Edges
LIU Yan-hong,CHEN Qing-yuan,CAI Yu.Improved Approach to Thick Laminated Plates with Clamped Edges[J].Journal of Civil Aviation University of China,2008,26(6):27-31.
Authors:LIU Yan-hong  CHEN Qing-yuan  CAI Yu
Institution:LIU Yan-hong,CHEN Qing-yuan,CAI Yu(College of Aviation Engineering,CAUC,Tianjin 300300,China)
Abstract:By using the dimensional expanding,the non-homogeneous state equation which is established for composite laminates with clamped edges is converted into homogeneous equation.An analytical static solution is presented.This algorithm is not only benefit to programming and the numerical stability,but also avoids the inverse matrix calculations and improves the computing efficiency.Numerical example shows the correct of the algorithm.
Keywords:thick laminates  non-homogeneous state equation  homogeneous state equation  dimensional expanding method  
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