轴对称层合圆柱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 Problem of Laminated Axisymmetric Cylindrical Shell

作　　者：丁克伟[1] 唐立民[1] 

机构地区：[1]大连理工大学

出　　处：《应用力学学报》1998年第4期32-36,共5页Chinese Journal of Applied Mechanics

基　　金：安徽省教委自然科学基金

摘　　要：从Ｈｅｌｉｎｇｅｒ－Ｒｅｉｓｓｎｅｒ变分原理出发，在柱坐标系中，导出圆柱壳轴对称问题的弱形式混合状态方程和边界条件，联用状态空间法给出强厚度叠层柱壳的解析解，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 equation and boundary condition for axisymmetric cylindrical shell are presented in a cylindrical coordinate system by introducing Hellinger Reissner variational principle. Analytical solution are obtained for laminated cylindrical shell by means of state space method. The present study extends and unifies solution of laminated shell.

关 键 词：混合状态方程 状态空间 轴对称圆柱壳 弱形式 边值问题 

分 类 号：O343.2[理学—固体力学]