| 非线性分析广义增量法算法研究 |
| |
| 引用本文： | 陈务军,董石麟,付功义,周岱,胡继军.非线性分析广义增量法算法研究[J].工程力学,2001,18(3):28-33,44. |
| |
| 作者姓名： | 陈务军 董石麟 付功义 周岱 胡继军 |
| |
| 作者单位： | 上海交通大学空间结构研究中心, |
| |
| 基金项目： | 国家自然科学基金(59895410) |
| |
| 摘 要： | 本文推导出广义增量法极值点与非临界点的统一形式解，首次指出增量解与增广矩阵零空间基的关系，从而可直接由零空间基得到增量解。首次研究了在Matlab IDE环境下，基于广义增量法的非线性有限元分析实现方法，指出其在数值分析中类似位移增量法的特征。最后，数值分析算例结果表明了该算法与程序的正确性和有效性。
|
| 关 键 词： | 非线性分析 广义增量法 零空间基 Matlab |
| 文章编号： | 1000-4750(2001)03-028-06 |
GENERALIZED INCREMENTAL ALGORITHM FOR NONLINEAR STRUCTURAL ANALYSIS |
| |
| CHEN Wu-jun,DONG Shi-lin,FU Gong-yi,ZHOU Dai,HU Ji-jun.GENERALIZED INCREMENTAL ALGORITHM FOR NONLINEAR STRUCTURAL ANALYSIS[J].Engineering Mechanics,2001,18(3):28-33,44. |
| |
| Authors: | CHEN Wu-jun DONG Shi-lin FU Gong-yi ZHOU Dai HU Ji-jun |
| |
| Abstract: | A unified generalized incremental algorithm (GIA) is formulated herein in detail for the critical and non-critical points. The relationship between the basis of the null space for the augmented matrix and the incremental solution is established so that the incremental solution can be directly obtained from the basis of the null space. The nonlinear FEM based on GIA is implemented in Matlab IDE environment. Numerical results show that the algorithm is correct and effective. |
| |
| Keywords: | nonlinear analysis generalized incremental algorithm null space basis Matlab |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
