全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...
力学学报  2014 

基于合理子域的改进响应面方法

DOI: 10.6052/0459-1879-13-339, PP. 409-416

Keywords: 结构可靠性,响应面,合理子域,失效概率

Full-Text   Cite this paper   Add to My Lib

Abstract:

基于结构可靠性分析理论,给出了合理子域概念.合理子域能够明确在设计点附近对失效概率起主要贡献区域尺寸,且能够保证失效点以一定概率落在其内,解决了对失效概率起主要贡献区域尺寸难以量化问题.基于合理子域概念,给出了一种改进响应面方法.该方法能够保证响应函数在设计点处是无误差的、且在合理子域内对极限状态函数具有较好近似.采取蒙特卡罗重要抽样方法求解失效概率,结合抽样点位置采取分区域评估方法以提高失效概率求解精度.算例表明,所提方法在处理具有显式和隐式极限状态函数的可靠性分析时,均具有较好的计算精度和较高的计算效率.

References

[1]  Bucher CG, Bourgund U. A fast and efficient response surface approach for structural reliability problems. Structural Safety, 1990, 7(1): 57-66
[2]  Rajashekhar MR, Ellingwood BR. A new look at the response surface approach for reliability analysis. Structural Safety, 1993, 12(3): 205-220
[3]  Nguyen XS, Sellier A, Duprat F, et al. Adaptive response surface method based on a double weighted regression technique. Probabilistic Engineering Mechanics, 2009, 24(2): 135-143
[4]  Kang SC, Koh HM, Choo JF. An efficient response surface method using moving least squares approximation for structural reliability analysis. Probabilistic Engineering Mechanics, 2010, 25(4): 365-371
[5]  Duprat F, Sellier A. Probabilistic approach to corrosion risk due to carbonation via an adaptive response surface method. Probabilistic Engineering Mechanics, 2006, 21(3): 207-216
[6]  Allaix DL, Carbone VI. An improvement of the response surface method. Structural Safety, 2011, 33(2): 165-172
[7]  Richard B, Cremona C, Adelaide L. A response surface method based on support vector machines trained with an adaptive experimental design. Structural Safety, 2012, 39(1): 14-21
[8]  李洪双,吕震宙.结构可靠性分析的支持向量机的响应面法.计算力学学报, 2009, 26(2):199-203 (Li Hongshuang, Lü Zhenzhou. A support vector machine response surface method for structural reliability analysis. Chinese Journal of Computational Mechanics, 2009, 26(2): 199-203 (in Chinese))
[9]  吕震宙,赵洁,岳珠峰. 机械结构可靠性分析的高精度响应面法.应用数学和力学,2007, 1(28): 17-24 (Lü Zhenzhou, Zhao Jie, Yue Zhufeng. Advanced response surface method for mechanical reliability analysis. Applied Mathematics and Mechanics, 2007, 1(28): 17-24 (in Chinese))
[10]  程晔,周翠英,黄林冲等. 基于缩减样本窗口的响应面重构方法. 计算力学学报, 2011, 28(5): 699-704 (Cheng Ye, Zhou Cuiying, Huang Linchong et al. Sequential response surface reconstructing method based on reducing sampling windows. Chinese Journal of Computational Mechanics, 2011, 28(5): 699-704 (in Chinese))
[11]  Weitao Z, Zhiping Q. An efficient response surface method and its application to structural reliability and reliability-based optimization. Finite Elements in Analysis and Design, 2013, 67: 34-42
[12]  Weitao Z, Zhiping Q, Yi Y. An efficient response surface method considering the nonlinear trend of the actual limit state. Structural Engineering and Mechanics, 2013, 47(1): 45-58
[13]  Guan XL, Melchers RE. Effect of response surface parameter variation on structural reliability estimates. Structural Safety, 2001, 23: 429-444
[14]  Gavin HP, Yau CS. High-order limit state functions in the response surface method for structural reliability analysis. Structural Safety, 2008, 30: 162-179
[15]  Elegbede C. Structural reliability assessment based on particles swarm optimization. Structural Safety, 2005, 27(2): 171-186
[16]  Blatmana G, Sudret B. An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis. Probabilistic Engineering Mechanics, 2010, 25(2): 183-197
[17]  Roussouly N, Petitjean F, Salaun M. A new adaptive response surface method for reliability analysis. Probabilistic Engineering Mechanics, 2013, 32: 103-105

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133