叠层圆柱厚壳混合状态方程的弱形式及其边值问题  

Weak Formulation of Mixed State Equation and Boundary Value Problem of Laminated Cylindrical Shell

作　　者：丁克伟[1] 唐立民[1] 

机构地区：[1]大连理工大学工程力学研究所

出　　处：《应用数学和力学》1999年第2期119-125,共7页Applied Mathematics and Mechanics

基　　金：安徽省教委基金

摘　　要：从Ｈｅｌｉｎｇｅｒ＿Ｒｅｉｓｎｅｒ变分原理出发，在柱坐标系中，导出圆柱壳的弱形式混合状态方程和边界条件，联用状态空间法给出叠层柱壳的解析解，此法使得求解该类问题的形式得以扩大和统一·Weak formulation of mixed state equations including boundary conditions are presented in a cylindrical coordinate system by introducing Hellinger_Reissner variational principle. Analytical solutions are obtained for laminated cylindrical shell by means of state space method. The present study extends and unifies the solution of laminated shells.

关 键 词：混合状态方程 状态空间 圆柱壳 弱形式 边值问题 

分 类 号：O343.2[理学—固体力学]