| 基于改进移动最小二乘法的结构可靠性分析 |
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| 引用本文： | 韦益夫,KAWAMURA Yasumi,王德禹.基于改进移动最小二乘法的结构可靠性分析[J].船舶力学,2017(Z1). |
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| 作者姓名： | 韦益夫 KAWAMURA Yasumi 王德禹 |
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| 作者单位： | 1. 上海交通大学 海洋工程国家重点实验室,上海 200240;高新船舶与深海开发装备协同创新中心,上海 200240;2. 横滨国立大学 高等科学研究院,横滨,日本;3. 上海交通大学 海洋工程国家重点实验室,上海 200240;高新船舶与深海开发装备协同创新中心,上海 200240;横滨国立大学 高等科学研究院,横滨,日本 |
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| 摘 要： | 基于改进移动最小二乘法对结构可靠性问题进行分析,数值模拟结果表明,改进方法可有效提高计算精度.具体方法是使用椭圆范数代替二范数来度量样本点到中心点的距离,并根据上次迭代所得到的响应面在中心点处的法向量与坐标轴所成角度,对影响域进行旋转变换;从而将样本点的权重大小由样本点与中心点、响应面的距离共同决定,并将每次迭代得到的响应面函数在中心点处的法向信息包含在内.
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| 关 键 词： | 可靠性 响应面法 移动最小二乘法 权重 向量投影法 |
Structural Reliability Analysis Basing on Improved Moving Least Square Method |
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| WEI Yifu,KAWAMURA Yasumi,WANG Deyu.Structural Reliability Analysis Basing on Improved Moving Least Square Method[J].Journal of Ship Mechanics,2017(Z1). |
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| Authors: | WEI Yifu KAWAMURA Yasumi WANG Deyu |
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| Abstract: | A response surface method using improved moving least square method is applied for structural reliability analysis, and the numerical results indicate the improved method has higher accuracy. The improved method uses ellipsoidal norm to measure the distance between central point and sampling points and rotates domain of influence according to the angle between RSM's normal vector at central point and axis. Thus every sampling point's weigh is determined by the distance between itself and center point also the response surface and the effect of response surface on the next iteration's domain of influence is considered meanwhile. |
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| Keywords: | reliability analysis response surface method (RSM) moving least square method (MLSM) weight vector project method (VPM) |
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