叠层圆柱厚壳混合状态方程的弱形式及其边值问题

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基金项目: 安徽省教委基金

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

Research Institute of Engineering Mechanics, Dalian University of Technology, Dalian 116023, P R China

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。
- 混合状态方程 /
- 状态空间 /
- 圆柱壳 /
- 弱形式 /
- 边值问题
Abstract: 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.
- mixed state equation /
- state space /
- cylindrical shell /
- weak formulation /
- boundary value problem

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