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| 拱结构双重非线性稳定分析的样条有限点法 | |
| 引用本文： | 张建民,秦荣,郑皆连.拱结构双重非线性稳定分析的样条有限点法[J].工程力学,2002,19(2):17-21. |
| 作者姓名： | 张建民 秦荣 郑皆连 |
| 作者单位： | 1. 华南理工大学土木工程系,广州,510641 2. 广西大学土木工程系,南宁,530004 3. 广西交通厅,南宁,530001 |
| 基金项目： | 广西青年科学基金资助项目(0007007) |
| 摘 要： | 本文提出利用样条有限点法来分析拱结构非线性稳定问题。用3次B样条函数来构造结构的位移模式,基于最小势能原理导出了拱式结构的单元刚度矩阵。分析中考虑了材料及几何非线性特征,计算公式简便,易于编程。依本文方法编制了程序,对一典型算例进行了分析。 |
| 关 键 词： | 拱式结构 双重非线性 样条有限点法 非线性稳定 |
| 文章编号： | 1000-4750(2002)02-017-05 |
SPLINE FINITE POINT METHOD FOR DOUBLE NONLINEAR STABILITY ANALYSIS OF ARCH STRUCTURES |
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| ZHANG Jian-min,QIN Rong,ZHEN Jie-lian.SPLINE FINITE POINT METHOD FOR DOUBLE NONLINEAR STABILITY ANALYSIS OF ARCH STRUCTURES[J].Engineering Mechanics,2002,19(2):17-21. | |
| Authors: | ZHANG Jian-min QIN Rong ZHEN Jie-lian |
| Affiliation: | ZHANG Jian-min1,QIN Rong2,ZHEN Jie-lian3 |
| Abstract: | In this paper, a spline finite point method is presented for the solution of the double nonlinear stability of arch structures. Taking 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. Both geometrically and materially nonlinear characteristics of the structure are considered in the present study. Numerical examples are provided to demonstrate the simplicity and effectiveness of the present method. The results are in good agreement with experimental data. |
| Keywords: | arch structure double nonlinear problem spline finite point method nonlinear stability |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |
