| 拱式结构几何非线性分析的样条有限点法 |
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| 引用本文： | 段海娟,秦荣. 拱式结构几何非线性分析的样条有限点法[J]. 西南交通大学学报, 2000, 35(1): 54-56 |
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| 作者姓名： | 段海娟 秦荣 |
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| 作者单位： | 1. 西南交通大学应用力学与工程系,四川,成都,610031
2. 广西大学土木建筑工程学院,广西,南宁,530004 |
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| 摘 要： | 提出了用样条有限点法(SFPM)分析拱式结构几何非线性问题。以位移u和w作为基本未知量,采用3次B样条函数作为位移函数,从最小势能原理出发,建立了样条离散化的非线性刚度方程,推导了非线性刚度矩阵的精确显式。
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| 关 键 词： | 拱式结构 几何非线性分析 样条有限点法 离散法 |
Spline Finite Point Method for Geometrically Nonlinear Analysis of Arch Structure |
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| DUAN Hai-juan,QIN Rong. Spline Finite Point Method for Geometrically Nonlinear Analysis of Arch Structure[J]. Journal of Southwest Jiaotong University, 2000, 35(1): 54-56 |
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| Authors: | DUAN Hai-juan QIN Rong |
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| Abstract: | A spline finite point method for geometrically nonlinear analysis of arch structure is presented. With the displacement components u and w treated as fundamental unknown variables, and the cubic B spline functions as displacement functions, the nonlinear stiffness equations of spline discretization are established based on the principle of minimum potential energy, and the precise explicit expression of the nonlinear tangential stiffness matrix is derived. |
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| Keywords: | arch structure geometrically nonlinear analysis spline finite point method variational principles spline functions discretization |
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