多种边界条件下正交异性层合地基厚板的精确解  

THE EXACT SOLUTION FOR THE ORTHOTROPIC THICK LAMINATED PLATES ON FOUNDATION WITH VARIOUS BOUNDARY CONDITIONS

作　　者：高荣誉[1] 

机构地区：[1]安徽建筑工业学院土木工程系,合肥230022

出　　处：《安徽建筑工业学院学报（自然科学版）》2001年第4期1-8,共8页Journal of Anhui Institute of Architecture(Natural Science)

基　　金：安徽省教委自然科学基金资助 ;安徽建筑工业学院青年基金资助

摘　　要：根据三维弹性力学控制方程 ,引入特殊函数 ,建立了 Winkler地基上多种边界条件下正交异性层合板的混合状态方程 ,给出了相应状态方程的精确解。此解满足弹性力学基本方程 ,包含正交异性 9个独立弹性常数 ,可求出层合地基板的全部位移、应力和地基反力 ,适合于任意厚跨比。Based on three-dimensional fundamental elasticity,and introduced special function,a mixed state equation was established for the orthotropic laminated plates on Winkler foundation with various boundary conditions.The exact solution are presented for corresponding state equation.Fundamental elasticity can be satisfied,and nine independent elastic constants are included in the solution.All the displacements,stess components,foundation reactions can be obtained.The method can be propitious to arbitrary ratio of thickness and space.

关 键 词：弹性地基 层合厚板 混合状态方程 边值问题 精确解 

分 类 号：TU313.1[建筑科学—结构工程] TU348[理学—固体力学] O343.2[理学—力学]