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...
航空学报  2013 

基于优化Kriging模型和重要抽样法的结构可靠度混合算法

DOI: 10.7527/S1000-6893.2013.0235, PP. 1347-1355

Keywords: 结构可靠度,Kriging模型,重要抽样法,函数拟合,人工蜂群算法,参数优化

Full-Text   Cite this paper   Add to My Lib

Abstract:

结构可靠度分析计算通常采用多项式响应面拟合隐式极限状态函数,但对于复杂航空航天机械结构产品极限状态方程往往表现出高度非线性,此时多项式响应面的模拟精度不够就会造成计算不收敛。为了提高结构可靠度计算的精度、效率和收敛性,提出了基于优化Kriging模型和重要抽样法的结构可靠度计算方法。首先,利用人工蜂群算法对Kriging模型的参数进行优化;再用优化后的模型模拟隐式极限状态函数,结合重要抽样法不断修正抽样重心,逐步提高模拟精度以达到给定要求;最后,结合一阶矩法(FORM)/二阶矩法(SORM)经典算法求解结构可靠度。该方法提高了高度非线性隐式极限状态方程可靠度计算的精度和收敛性,并且具有较高的计算效率。

References

[1]  Melchers R E. Structural reliability analysis and predictions. New York: Wiley, 1999: 124-156.
[2]  Nowak A S, Collins K R. Reliability of structures. Boston: McGraw-Hill, 2000: 32-35.
[3]  Faravelli L. Response surface approach for reliability analysis. Journal of Engineering Mechanics, 1989, 115(12): 2763-2781.
[4]  Zhang J G, Su D, Liu Y W. Reliability analysis and optimization of mechanical products. Beijing: Publishing House of Electronics Industry, 2007: 29-115. (in Chinese) 张建国, 苏多, 刘英卫. 机械产品可靠性分析与优化. 北京: 电子工业出版社, 2007: 29-115.
[5]  Jiang S H, Li D Q, Phoon K. A comparative study of response surface method and stochastic response surface method for structural relisbility analysis. Engineering Journal of Wuhan University, 2012, 45(1): 46-53. (in Chinese) 蒋水华, 李典庆, 方国光. 结构可靠度分析的响应面法和随机响应面法的比较. 武汉大学学报: 工学版, 2012, 45(1): 46-53.
[6]  Kaymaz I. Application of Kriging method to structural reliability problems. Structural Safety, 2005, 27(2): 133-151.
[7]  Luo X F, Li X, Zhou J, et al. A Kriging-based hybrid optimization algorithm for slope reliability analysis. Structural Safety, 2012, 34(1): 401-406.
[8]  Wang B, Sun Q. Structural reliability computation based on Kriging mode. Computer Simulation, 2011, 28(2): 113-116. (in Chinese) 汪保, 孙秦. 改进的Kriging模型的可靠度计算. 计算机仿真, 2011, 28(2): 113-116.
[9]  Akay B, Karaboga D. A modified artificial bee colony algorithm for real-parameter optimization. Information Sciences, 2012, 192: 120-142.
[10]  Xiao Y L, Su G S, Gaussian process importance sampling method for structural reliability analysis. Water Power, 2010, 36(12): 31-34. (in Chinese) 肖义龙, 苏国韶. 结构可靠度分析的高斯过程重要抽样方法. 水力发电, 2010, 36(12): 31-34.
[11]  Bucher C G, Bourgand U. A fast and efficient response surface approach for structural reliability problems. Struct Safety, 1990, 7(1): 57-66.
[12]  Romero V J, Swiler L P, Giunta A A. Construction of response surfaces based on progressive-lattice-sampling experimental designs with application to uncertainty propagation. Structural Safety, 2004, 26(2): 201-219.
[13]  Giunta A, McFarland J, Swiler L, et al. The promise and peril of uncertainty quantification using response surface approximations. Structures and Infrastructure Engineering, 2006, 2(3): 175-189.
[14]  Echard B, Gayton N, Lemaire M. AK-MCS: an active learning reliability method combining Kriging and Monte Carlo simulation. Structural Safety, 2011, 33(2): 145-154.
[15]  Karaboga D. An idea based on honey bee swarm for numerical optimization. Erciyes University Technical Report TR06, 2005.
[16]  Liu L, Wang T Y. Support vector machine optimization based on artificial bee colony algorithm. Journal of Tianjin University, 2011, 44(9): 803-809. (in Chinese) 刘路, 王太勇. 基于人工蜂群算法的支持向量机优化. 天津大学学报, 2011, 44(9): 803-809.
[17]  Lophaven S N, Nielsen H B, Sondergaard J. DACE, a matlab Kriging toolbox. Technical Report IMM-TR-2002-12, 2002.
[18]  Lophaven S N, Nielsen H B, Sondergaard J. Aspects of the matlab toolbox DACE. Technical Report IMM-REP-2002-13, 2002.
[19]  Li Y Y, Zhang D S. The analysis of plane frame structure displacement reliability based on MATLAB. Journal of Jiaying University: Natural Science, 2011, 29(2): 45-48. (in Chinese) 李远瑛, 张德生. 基于MATLAB的结构可靠度分析方法研究. 嘉应学院学报: 自然科学版, 2011, 29(2): 45-48.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133