| 平面梁的几何非线性有限元分析 |
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| 引用本文： | 段滋华.平面梁的几何非线性有限元分析[J].太原理工大学学报,1997(1). |
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| 作者姓名： | 段滋华 |
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| 摘 要： | 本文建立了拉格朗日坐标系下平面梁几何非线性问题的有限元模型，分别以初始构型和相邻构型为参考构型，采用载荷增量与牛顿－拉裴逊（Ｎｅｗｔｏｎ－Ｒａｐｈｓｏｎ）迭代法相结合的混合求解法，对梁单元系统的非线性平衡方程迭代求解，并对两种方法进行分析比较。
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| 关 键 词： | 梁 非线性 初始构型 相邻构型 有限元 |
A Finite Element Method for Geometrically Nonlinear Analysis of the Plane Beams |
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| Chen Xu\ Zhang Yifen\ Duan Zhihua.A Finite Element Method for Geometrically Nonlinear Analysis of the Plane Beams[J].Journal of Taiyuan University of Technology,1997(1). |
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| Authors: | Chen Xu\ Zhang Yifen\ Duan Zhihua |
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| Institution: | Dept.of Chem.Eng. |
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| Abstract: | A finite element model is developed for geometrically nonlinear analysis of the planar beams.The nonlinear equilibrium equations are established on the original configuration and the neighbouring one,respectively,and evaluated by combining a load increment with Newton Raphson iteration.The numerical solutions on two configurations are compared. |
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| Keywords: | beam nonlinearity original configuration neighbouring configuration finite element method |
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