张少焱, 陈万吉. 基于几何非线性不协调元变分原理的圆柱壳非线性初始稳定性分析[J]. 工程力学, 2002, 19(1): 14-18.
引用本文: 张少焱, 陈万吉. 基于几何非线性不协调元变分原理的圆柱壳非线性初始稳定性分析[J]. 工程力学, 2002, 19(1): 14-18.
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ZHANG Shao-yan, CHEN Wan-ji. NON-LINEAR INITIAL STABILITY ANALYSIS OF CYLINDRICAL SHELLS BASED ON VARIATIONAL PRINCIPLE FOR NON-LINEAR NON-CONFORMING FINITE ELEMENT METHODS[J]. Engineering Mechanics, 2002, 19(1): 14-18.
Citation: ZHANG Shao-yan, CHEN Wan-ji. NON-LINEAR INITIAL STABILITY ANALYSIS OF CYLINDRICAL SHELLS BASED ON VARIATIONAL PRINCIPLE FOR NON-LINEAR NON-CONFORMING FINITE ELEMENT METHODS[J]. Engineering Mechanics, 2002, 19(1): 14-18.
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基于几何非线性不协调元变分原理的圆柱壳非线性初始稳定性分析

NON-LINEAR INITIAL STABILITY ANALYSIS OF CYLINDRICAL SHELLS BASED ON VARIATIONAL PRINCIPLE FOR NON-LINEAR NON-CONFORMING FINITE ELEMENT METHODS

    摘要
  • 摘要: 本文根据几何非线性不协调元增量变分原理,按严格的壳体方程,建立了高精度的圆柱壳几何非线性20参数矩形精化不协调元RCSR4,并用于圆柱壳非线性初始稳定性分析。计算结果表明,该方法收敛性良好。

     

    Abstract: Based on the variational principles for geometrically non-linear non-conforming finite element methods and classical shell theory, a non-linear non-conforming rectangular cylindrical shell element is proposed in a total Lagrangian formulation and is applied to the non-linear stability analysis of cylindrical shells. Numerical examples are presented to show that the present method ensures good convergence.

     

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