| Citation: | HONG Linxiong, LI Huacong, PENG Kai, et al. Improved response surface method of reliability analysis based on efficient search method[J]. Journal of Beijing University of Aeronautics and Astronautics, 2020, 46(1): 95-102. doi: 10.13700/j.bh.1001-5965.2019.0169(in Chinese)
|
Aimed at the problems of large amount of calculation and low iteration efficiency of response surface method which is widely used in structural reliability calculation, an improved response surface method based on hybrid weighting of sample points and variable-direction search of reliability index is proposed. Firstly, based on the weight selection strategy of the traditional response surface function, a hybrid weighting method considering not only the distance between the sample point and the design point but also the limit-state-function value of the sample point is constructed. Secondly, due to the inefficiency problem of the traditional first-order second-moment method in each iteration of response surface, an effective search of design points based on the variable-direction search algorithm in each iteration process of response surface is realized. The numerical examples show that the method has good convergence and greatly reduces the number of iterations under certain calculation accuracy. And the maximum failure point and reliability index can be obtained accurately.
| [1] |
吕震宙, 宋淑芳, 李洪双, 等.结构机构可靠性及可靠性灵敏度分析[M]北京:科学出版社, 2009:1-6.
LV Z Z, SONG S F, LI H S, et al.Reliability and reliability sensitivity analysis of structural mechanism[M].Beijing:Science Press, 2009:1-6(in Chinese).
|
| [2] |
HASOFER A M, LIND N C.Exact and invariant second-moment code format[J].Journal of the Engineering Mechanics Division, 1974, 100(1):111-121.
|
| [3] |
李洪双, 马远卓.结构可靠性分析与随机优化设计的统一方法[M]北京:国防工业出版社, 2015:89-92.
LI H S, MA Y Z.Unified method for structural reliability analysis and stochastic optimization design[M].Beijing:National Defense Industry Press, 2015:89-92(in Chinese).
|
| [4] |
BUCHER C G, BOURGUND U.A fast and efficient response surface approach for structural reliability problems[J].Structural Safety, 1990, 7(1):57-66. doi: 10.1016/0167-4730(90)90012-E
|
| [5] |
RAJASHEKHAR M R, ELLINGWOOD B R.A new look at the response approach for reliability analysis[J].Structural Safety, 1993, 12(3):205-220. doi: 10.1016/0167-4730(93)90003-J
|
| [6] |
DAS P K, ZHENG Y.Cumulative formation of response surface and its use in reliability analysis[J].Probabilistic Engineering Mechanics, 2000, 15(4):309-315. doi: 10.1016/S0266-8920(99)00030-2
|
| [7] |
KAYMAZ I, MCMAHON C A.A response surface method based on weighted regression for structural reliability analysis[J].Probabilistic Engineering Mechanics, 2005, 20(1):11-17. doi: 10.1016/j.probengmech.2004.05.005
|
| [8] |
KIM S H, NA S W.Response surface method using vector projected sampling points[J].Structural Safety, 1997, 19(1):3-19. doi: 10.1016/S0167-4730(96)00037-9
|
| [9] |
KANG S, KOH H.An efficient response surface method using moving least squares approximation for structural reliability analysis[J].Probabilistic Engineering Mechanics, 2010, 25(4):365-371. doi: 10.1016/j.probengmech.2010.04.002
|
| [10] |
韦益夫, KAWAMURA YASUMI, 王德禹.改进移动最小二乘法及其在结构可靠性分析中的应用[J].上海交通大学学报, 2018, 52(4):455-460. http://d.old.wanfangdata.com.cn/Periodical/shjtdxxb201804010
WEI Y F, KAWAMURA Y, WANG D Y.An improved moving least square method and application in structural reliability analysis[J].Journal of Shanghai Jiao Tong University, 2018, 52(4):455-460(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/shjtdxxb201804010
|
| [11] |
王骞, 张建国, 彭文胜, 等.基于复合函数的复杂机械系统分层响应面建模与可靠性分析[J].兵工学报, 2018, 39(3):590-597. doi: 10.3969/j.issn.1000-1093.2018.03.022
WANG Q, ZHANG J G, PENG W S, et al.Hierarchical response surface modeling and reliability analysis of complex mechanical system based on composite function[J].Acta Armamentarii, 2018, 39(3):590-597(in Chinese). doi: 10.3969/j.issn.1000-1093.2018.03.022
|
| [12] |
张春宜, 宋鲁凯, 费成巍, 等.柔性机构动态可靠性分析的先进极值响应面方法[J].机械工程学报, 2017, 53(7):47-54. http://d.old.wanfangdata.com.cn/Periodical/jxgcxb201707007
ZHANG C Y, SONG L K, FEI C W, et al.Advanced extremum response surface method for dynamic reliability analysis on flexible mechanism[J].Journal of Mechanical Engineering, 2017, 53(7):47-54(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/jxgcxb201707007
|
| [13] |
GUIMARAES H, MATOS J C, HENRIQUES A A.An innovative adaptive sparse response surface method for structural reliability analysis[J].Structural Safety, 2018, 73:12-28. doi: 10.1016/j.strusafe.2018.02.001
|
| [14] |
SHANYANFAR M A, BARKNHORDARI M A, ROUDAK M A.A new effective approach for computation of reliability index in nonlinear problems of reliability analysis[J].Communications in Nonlinear Science and Numerical Simulation, 2018, 60:184-202. doi: 10.1016/j.cnsns.2018.01.016
|
| [15] |
YANG D X.Chaos control for numerical instability of first order reliability method[J].Communications in Nonlinear Science and Numerical Simulation, 2010, 15(10):3131-3141. doi: 10.1016/j.cnsns.2009.10.018
|
| [16] |
CHOI S K, CANFIELD R A, GRANDHI R.Reliability-based structural design[M].Berlin:Springer, 2007:111-113.
|
Figures(10) / Tables(4)
Copyright © Journal of Beijing University of Aeronautics and Astronautics
Address: Editorial Department of Journal of Beijing University of Aeronautics and Astronautics, 37 Xueyuan Road, Haidian District, Beijing Post Code: 100191 Email: jbuaa@buaa.edu.cn
Supported by:
Beijing Renhe Information Technology Co., Ltd.
DownLoad:
