| 求解预定位移水平的改进弧长法 |
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| 引用本文： | 宋振森,沈祖炎,罗永峰.求解预定位移水平的改进弧长法[J].计算力学学报,2007,24(4):509-512. |
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| 作者姓名： | 宋振森 沈祖炎 罗永峰 |
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| 作者单位： | 1. 上海交通大学,土木工程系,2000030,上海
2. 同济大学,建筑工程系,200092,上海 |
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| 基金项目： | 国家自然科学基金
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中国博士后科学基金 |
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| 摘 要： | 为了在使用弧长法进行结构非线性分析时能够收敛到指定的位移,基于广义弧长的概念,对传统弧长法进行改进。改进后的方法不仅能够自动跟踪结构非线性平衡路径,同时能求得位于结构平衡路径的任意区段的任意预定位移时的受力状态。数值算例表明本文计算方法的精确度、效率以及可靠性较好。
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| 关 键 词： | 非线性分析 预定位移 改进弧长法 |
| 文章编号： | 1007-4708（2007）04-0509-04 |
| 修稿时间： | 2005-06-01 |
An improved arc-length method for searching pre-defined displacement in nonlinear analysis of structures |
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| SONG Zhen-sen,SHE Zu-yan,LUO Yong-feng.An improved arc-length method for searching pre-defined displacement in nonlinear analysis of structures[J].Chinese Journal of Computational Mechanics,2007,24(4):509-512. |
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| Authors: | SONG Zhen-sen SHE Zu-yan LUO Yong-feng |
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| Institution: | 1. Department of Civil Engineering, Shanghai Jiaotong University, Shanghai 200030, China, 2. Department of Building Engineering, Tongji University, Shanghai 200092, China |
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| Abstract: | Arc-length method is widely employed in nonlinear FEM analysis because it is efficient and robust for solving the nonlinear formulation,especially for the problem of Snap-through and Snap-back.But it is rather difficult to converge to a specified displacement level with this method.Based on the concept of generalized arc-length,an improved arc-length method is presented to converge to pre-defined displacement.The improved method can be used to search and determine the pre-defined displacement levels besides tracing the whole nonlinear equilibrium path of a structure.Numerical experiment shows that the new method is accurate,efficient and reliable. |
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| Keywords: | nonlinear analysis pre-defined displacement improved arc-length method |
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