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论文类型：会议论文

发表时间：2008-09-02

收录刊物：EI

卷号：88

摘要：Both the structural optimization and reliability analysis algorithms such as the Newton method, convex approximation methods, first order reliability method (FORM) and performance measure approach (PMA) etc., usually adopt the iterative schemes. However, they could yield the numerical instabilities of iterative oscillation and chaos for some nonlinear problems. This paper presents a novel method to control the convergent failure of iterative procedures in optimization and reliability analysis algorithms from the perspective of chaos control. Numerical results of some examples illustrate that the stability transformation method for achieving the convergence control of these algorithms is effective, simple and versatile. © Civil-Comp Press, 2008.