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结构可靠度分析中的最小方差抽样
引用本文:贡金鑫,赵国藩.结构可靠度分析中的最小方差抽样[J].上海力学,1996,17(3):245-252.
作者姓名:贡金鑫  赵国藩
作者单位:大连理工大学 (贡金鑫),大连理工大学(赵国藩)
摘    要:重要抽样技术是结构可靠度分析活跃的发展方向之一。本文研究了以抽样方差最小为条件的重要抽样问题,给出了正态抽样分布函数有关参数的计算公式,分析和实际模拟表明,在以正态分布进行了抽样的前提下,应用优化的参数,可使抽样效率进一步提高。

关 键 词:结构可靠度  重要抽样  最小方差  蒙特卡洛模拟

THE MINIMUM VARIANCE SAMPLING METHOD IN STRUCTURAL RELIABILITY ANALYSIS
Gong Jinxin Zhao Guofan.THE MINIMUM VARIANCE SAMPLING METHOD IN STRUCTURAL RELIABILITY ANALYSIS[J].Chinese Quarterly Mechanics,1996,17(3):245-252.
Authors:Gong Jinxin Zhao Guofan
Institution:Dalian University of Technology
Abstract:The technique of importance sampling is an active area in the development of reliability analysis. In this paper, the problem of importance sampling by minimizing the sample variance is studied and the computational formula for the determination of the optimum parameters in the normal distribution function is presented. Theoretical analysis and the actual simulation all indicate that the sampling efficiency can be increased significantly by using these optimum parameters.
Keywords:Structural reliability  Importance sampling  Minimum variance  Monte carlo simulation  
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