Non-Probabilistic Structural Reliability Analysis Integrating the PSO and the Kriging Model

QIAO Xinzhou; CHEN Yongjing; LIU Peng; FANG Xiurong

doi:10.21656/1000-0887.420308

Volume 43 Issue 12

Dec. 2022

Turn off MathJax

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2022 > 43(12): 1412-1421

QIAO Xinzhou, CHEN Yongjing, LIU Peng, FANG Xiurong. Non-Probabilistic Structural Reliability Analysis Integrating the PSO and the Kriging Model[J]. Applied Mathematics and Mechanics, 2022, 43(12): 1412-1421. doi: 10.21656/1000-0887.420308

Citation:

PDF( 3425 KB)

Non-Probabilistic Structural Reliability Analysis Integrating the PSO and the Kriging Model

doi: 10.21656/1000-0887.420308

College of Mechanical Engineering, Xi’an University of Science and Technology, Xi’an 710054, P.R.China

Received Date: 2021-10-11
Accepted Date: 2022-03-10
Rev Recd Date: 2021-12-08

Available Online: 2022-11-03

Publish Date: 2022-12-01

Abstract

Abstract

In view of the problems with implicit performance functions and limited experimental data in the reliability analysis of complex structures, a non-probabilistic reliability method combining the particle swarm optimization (PSO) with the Kriging model was presented. A multidimensional ellipsoid was first used to characterize the uncertain parameters of structures. The Kriging model was then constructed for the implicit performance function, wherein its optimal related parameters was determined through the PSO. Based on the proposed model the reliability analysis was explicitly conducted. The results of 3 numerical examples show that, the proposed method is of effectiveness and feasibility, and has higher accuracy and efficiency than those based on the traditional Kriging model.
- particle swarm optimization,
- Kriging model,
- non-probabilistic reliability analysis

FullText(HTML)

References(17)

References

[1]	BEN-HAIM Y. A non-probabilistic concept of reliability[J]. Structural Safety, 1994, 14(4): 227-245. doi: 10.1016/0167-4730(94)90013-2
[2]	ELISHAKOFF I, BEN-HAIM Y. Discussion on: a non-probabilistic concept of reliability[J]. Structural Safety, 1995, 17(3): 195-199. doi: 10.1016/0167-4730(95)00010-2
[3]	郭书祥, 吕震宙, 冯元生. 基于区间分析的结构非概率可靠性模型[J]. 计算力学学报, 2001, 18(1): 56-60 GUO Shuxiang, LÜ Zhengzhou, FENG Yuansheng. A non-probabilistic model of structural reliability based on interval analysis[J]. Chinese Journal of Computational Mechanics, 2001, 18(1): 56-60.(in Chinese)
[4]	JIANG T, CHEN J J, XU Y L. A semi-analytic method for calculating non-probabilistic reliability index based on interval models[J]. Applied Mathematical Modelling, 2007, 31(7): 1362-1370. doi: 10.1016/j.apm.2006.02.013
[5]	曹鸿钧, 段宝岩. 基于凸集合模型的非概率可靠性研究[J]. 计算力学学报, 2005, 22(5): 546-549, 578 CAO Hongjun, DUAN Baoyan. An approach on the non-probabilistic reliability of structures based on uncertainty convex models[J]. Chinese Journal of Computational Mechanics, 2005, 22(5): 546-549, 578.(in Chinese)
[6]	JIANG C, LU G Y, HAN X, et al. Some important issues on first-order reliability analysis with non-probabilistic convex models[J]. ASME Journal of Mechanical Design, 2014, 136(3): 034501. doi: 10.1115/1.4026261
[7]	MENG Z, HU H, ZHOU H L. Super parametric convex model and its application for non-probabilistic reliability-based design optimization[J]. Applied Mathematical Modelling, 2018, 55: 354-370. doi: 10.1016/j.apm.2017.11.001
[8]	MENG Z, ZHANG Z, ZHOU H L. A novel experimental data-driven exponential convex model for reliability assessment with uncertain-but-bounded parameters[J]. Applied Mathematical Modelling, 2020, 77(1): 773-787.
[9]	WANG X, QIU Z P, ELISHAKOFF I. Non-probabilistic set-theoretic model for structural safety measure[J]. Acta Mechanica, 2008, 198: 51-64. doi: 10.1007/s00707-007-0518-9
[10]	JIANG C, BI R G, LU G Y, et al. Structural reliability analysis using non-probabilistic convex model[J]. Computer Methods in Applied Mechanics and Engineering, 2013, 254: 83-98. doi: 10.1016/j.cma.2012.10.020
[11]	陈江义, 文尉超, 王迎佳. 基于响应面方法的结构非概率可靠性分析[J]. 郑州大学学报(工学版), 2015, 36(5): 121-124 CHEN Jiangyi, WEN Weichao, WANG Yingjia. Analysis of structural non-probabilistic reliability based on response surface method[J]. Journal of Zhengzhou University (Engineering Science), 2015, 36(5): 121-124.(in Chinese)
[12]	BAI Y C, HAN X, JIANG C, et al. A response-surface-based structural reliability analysis method by using non-probability convex model[J]. Applied Mathematical Modelling, 2014, 38(15/16): 3834-3847.
[13]	马超, 吕震宙. 隐式极限状态方程的非概率可靠性分析[J]. 机械强度, 2009, 31(1): 45-50 doi: 10.3321/j.issn:1001-9669.2009.01.010 MA Chao, LÜ Zhengzhou. Non-probablistic reliability analysis method for implicit limit state function[J]. Journal of Mechanical Strength, 2009, 31(1): 45-50.(in Chinese) doi: 10.3321/j.issn:1001-9669.2009.01.010
[14]	潘林锋, 周昌玉, 陈士诚. 基于Kriging模型的非概率可靠度计算[J]. 应用力学学报, 2010, 27(4): 791-794 PAN Linfeng, ZHOU Changyu, CHEN Shicheng. Non-probability reliability calculation based on Kriging model[J]. Chinese Journal of Applied Mechanics, 2010, 27(4): 791-794.(in Chinese)
[15]	郑严. 基于智能算法的结构可靠性分析及优化设计研究[D]. 博士学位论文. 成都: 西南交通大学, 2012. ZHEN Yan. Research on structural reliability analysis and optimization based on intelligence algorithm[D]. PhD Thesis. Chengdu: Southwest Jiaotong University, 2012.(in Chinese)
[16]	JIANG C, HAN X, LU G Y, et al. Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique[J]. Computer Methods in Applied Mechanics & Engineering, 2011, 200(33/36): 2528-2546.
[17]	屈力刚, 刘洪侠, 李铭, 等. 基于Sobol序列采样点分布策略的研究与应用[J]. 锻压装备与制造技术, 2019, 54(6): 101-105 doi: 10.16316/j.issn.1672-0121.2019.06.030 QU Ligang, LIU Hongxia, LI Ming, et al. Research and application of sampling point distribution strategy based on Sobol sequence[J]. China Metalforming Equipment & Manufacturing Technology, 2019, 54(6): 101-105.(in Chinese) doi: 10.16316/j.issn.1672-0121.2019.06.030