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结构非线性分析中改进的弧长算法
引用本文:黄吉锋,何广乾,魏文郎,李云贵,邵弘,陈岱林. 结构非线性分析中改进的弧长算法[J]. 建筑科学, 2001, 17(6): 20-24
作者姓名:黄吉锋  何广乾  魏文郎  李云贵  邵弘  陈岱林
作者单位:1. 中国建筑科学研究院PKPMCAD工程部,
2. 中国建筑科学研究院建筑设计院,
3. 中国建筑科学研究院计算中心,
摘    要:在原有的弧长增量法的基础上做了两方面的改进工作:(1)提出一种新的弧长控制方法,消除了以往方法存在的漏洞;(2)提出一种基于解曲线曲率的自动走步方案,使得整个的非线性追踪过程合理化。以上两点相结合形成一和中新的改进的弧长法,该方法已经在PKPM弹塑性分析程序EPDA的子模块PUSH中加以实现,取得了良好效果。

关 键 词:弧长约束 解曲线曲率 建筑结构 抗震性能 非线性
文章编号:1002-8528(2001)06-0020-05

A Modified Arc-Length Method in the Nonlinear Static Structural Analysis
HUANG Ji feng ,HE Guang qian ,WEI Wen lang ,LI Yun gui ,SHAO Hong ,CHEN Dai lin. A Modified Arc-Length Method in the Nonlinear Static Structural Analysis[J]. Building Science, 2001, 17(6): 20-24
Authors:HUANG Ji feng   HE Guang qian   WEI Wen lang   LI Yun gui   SHAO Hong   CHEN Dai lin
Affiliation:HUANG Ji feng 1,HE Guang qian 2,WEI Wen lang 3,LI Yun gui 1,SHAO Hong 1,CHEN Dai lin 1
Abstract:In this paper, some improvements have been achieved with the arc length method. Firstly, a new strategy of arc length control has been presented to eliminate the defect existing in the old method. Secondly, an auto stepping method has been advanced, with which it will be more reasonable to trace the equilibrium path in the nonlinear structural static analysis. The combination of the two aspects mentioned above forms a new modified arc length method. The new method has been realized in a nonlinear static analysis program (EPDA PUSH) of PKPM CAD engineering department and the numerical tests show very good results.
Keywords:arc length control   auto stepping   curvature of solution curve
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