| 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 |
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| 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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| 作者姓名： | 张少焱 陈万吉 |
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| 作者单位： | 大连理工大学工业装备结构分析重点实验室,大连,116024 |
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| 基金项目： | 国家自然科学基金资助项目(19672015) |
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| 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。
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| 关 键 词： | 几何非线性 不协调元 增量变分原理 圆柱壳稳定性 |
| 文章编号： | 1000-4750(2002)01-014-05 |
NON-LINEAR INITIAL STABILITY ANALYSIS OF CYLINDRICAL SHELLS BASED ON VARIATIONAL PRINCIPLE FOR NON-LINEAR NON-CONFORMING FINITE ELEMENT METHODS |
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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. |
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| Authors: | ZHANG Shao-yan CHEN Wan-ji |
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| 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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| Keywords: | geometrical nonlinearity non-conforming finite element method variational principle stability of cylindrical shell |
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