## 留言板

 引用本文: 吕震宙, 赵洁, 岳珠峰. 机械可靠性分析的高精度响应面法[J]. 应用数学和力学, 2007, 28(1): 17-24.
LÜ Zhen-zhou, ZHAO Jie, YUE Zhu-feng. Advanced Response Surface Method for Mechanical Reliability Analysis[J]. Applied Mathematics and Mechanics, 2007, 28(1): 17-24.
 Citation: LÜ Zhen-zhou, ZHAO Jie, YUE Zhu-feng. Advanced Response Surface Method for Mechanical Reliability Analysis[J]. Applied Mathematics and Mechanics, 2007, 28(1): 17-24.

## 机械可靠性分析的高精度响应面法

###### 作者简介:吕震宙(1966- ),女,湖北黄石人,教授,博士生导师(E-mail:zhenzhoulu@nwpu.edu.cn).
• 中图分类号: TB114.3

## Advanced Response Surface Method for Mechanical Reliability Analysis

• 摘要: 通过对已有可靠性分析中的响应面法的研究，提出了一种高精度的响应面法，该方法通过迭代线性插值的策略，来保证确定响应面的抽样点比经典的响应面法更接近真实的极限状态方程，并且该方法通过序列线性插值的方法来控制抽样点与插值中心点的距离，保证随着插值中心点收敛于真实设计点，抽样点提供更多的关于设计点附近真实极限状态方程的信息，进而保证了收敛的响应面能够在设计点附近更好地拟合真实的极限状态方程，并得到高精度的失效概率计算结果．算例充分说明了所提方法的合理性与适用性．
•  [1] Nowak A S,Collins K R.Reliability of Structures[M].Boston:McGraw-Hill,2000. [2] Ibrahim Y. Observations on applications of importance sampling in structural reliability analysis[J].Structural Safety,1991,9(4):269-281. [3] Olsson A,Sandberg G,Dahlblom O.On latin hypercube sampling for structural reliability analysis[J].Structural Safety,2003,25(1):47-68. [4] Melchers R E.Radial importance sampling for structural reliability[J].J Engng Mech,ASCE,1990,116(1):189-203. [5] Moarefzadeh M R, Melchers R E. Directional importance sampling for ill-proportioned spaces[J].Structural Safety,1999,21(1):1-22. [6] Carlier J, Li Y, Lutton J L. Reliability evaluation of large telecommunication networks[J].Discrete Applied Mathematics,1997,76(1/3):61-80. [7] Melchers R E, Ahammed M, Middleton C. FORM for discontinuous and truncated probability density functions[J].Structural Safety,2003,25(3):305-313. [8] Fiessler B,Neumann H J,Rackwitz R.Quadratic limit states in structural reliability[J].J Engng Mech ASCE,1979,105(4):661-676. [9] Bucher C G. A fast and efficient response surface approach for structural reliability problems[J].Structural Safety,1990,7(1):57-66. [10] Faravelli. Response surface approach for reliability analysis[J].J Engng Mech ASCE,1989,115(12):2763-2781. [11] Liu Y W, Moses F.A sequential response surface method and its application in the reliability analysis of aircraft structural system[J].Structural Safety,1994,16(1):39-46. [12] Rajashekhar M R,Ellingwood B R. A new look at the response safe approach for reliability analysis[J].Structural Safety,1993,12(3):205-220. [13] Bayer V, Schueller G I. Discussion on: A new look at the response surface approach for reliability[J].Structural Safety,1994,16(3):227-234. [14] Kim S -H, Na S -W. Response surface method using vector projected sampling points[J].Structural Safety,1997,19(1):3-19. [15] Bohm F, Bruckner-Foit A. On criterion for accepting a response surface model[J].Probabilistic Engineering Mechanics,1992,7(3):183-190. [16] 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. [17] Maymon G. Probability of failure of structural without a closed form failure function[J].Compu Struct,1993,49(2):301-313. [18] 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. [19] Guan X L, Melchers R E. Effect of response surface parameter variation on structural reliability estimates[J].Structural Safety,2001,23(4):429-444. [20] Gupta S, Manohar C S. An improved response surface method for the determination of failure probability and importance measures[J].Structural Safety,2004,26(2):123-139. [21] Guan X L, Melchers R E. Multitangent-plane surface method for reliability calculation[J].J Eng Mech,1997,123(10):996-1002. [22] Mahadevan S, Shi P.Multiple linearization method for nonlinear reliability analysis[J].J Eng Mech ASCE,2000,127(11):1165-1173. [23] 杨成永，张弥，白小亮.用于结构可靠性分析的多响应面法[J].北方交通大学学报，2001,25(1):1-4. [24] Deng J, Gu D S, Li X B,et al.Structural reliability analysis for implicit performance function using artificial neural neural network[J].Structural Safety,2005,27(1):25-48.

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##### 出版历程
• 收稿日期:  2005-11-15
• 修回日期:  2006-10-30
• 刊出日期:  2007-01-15

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