改进移动最小二乘法及其在结构可靠性分析中的应用

doi:10.16183/j.cnki.jsjtu.2018.04.010

摘要/Abstract

摘要： 基于移动最小二乘法的响应面法对结构可靠性问题进行分析.在确定样本点权重时，将样本点与中心点、响应面的距离同时作为判断其权重大小的依据，并考虑每次迭代得到的响应面函数对下一迭代的影响域的影响，由此提出改进移动最小二乘法.结果表明，改进方法可有效提高计算精度.

关键词: 可靠性, 响应面法, 移动最小二乘法, 权重, 向量投影法

Abstract: A response surface method using moving least square method is applied for structural reliability analysis in this paper. In each iteration, sampling point’s weight is redefined by not only the distance between the point and center point but also the distance between the point and response surface. Meanwhile, current iteration’s influence domain is transformed according to the last response surface obtained from former iterations. Thus, an improved moving least method is proposed and numerical results indicate the improved method has higher accuracy.

Key words: reliability analysis, response surface method (RSM), moving least square method (MLSM), weight, vector project method (VPM)

中图分类号:

TB 114.3

韦益夫1,2，KAWAMURA Yasumi3，王德禹1,2,3. 改进移动最小二乘法及其在结构可靠性分析中的应用[J]. 上海交通大学学报（自然版）, 2018, 52(4): 455-460.

WEI Yifu1,2,KAWAMURA Yasumi3,WANG Deyu1,2,3. An Improved Moving Least Square Method and Application in Structural Reliability Analysis[J]. Journal of Shanghai Jiaotong University, 2018, 52(4): 455-460.

参考文献

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