[1]程晔,周翠英,黄林冲,等.多元指数插值响应面方法分析复杂结构可靠度[J].深圳大学学报理工版,2012,29(No.5(377-470)):427-431.[doi:10.3724/SP.J.1249.2012.05427]
 CHENG Ye,ZHOU Cui-ying,HUANG Lin-chong,et al.Multi-dimensional exponential interpolation response surface method for reliability analysis of complex structural engineering[J].Journal of Shenzhen University Science and Engineering,2012,29(No.5(377-470)):427-431.[doi:10.3724/SP.J.1249.2012.05427]
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多元指数插值响应面方法分析复杂结构可靠度()
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《深圳大学学报理工版》[ISSN:1000-2618/CN:44-1401/N]

卷:
第29卷
期数:
2012年No.5(377-470)
页码:
427-431
栏目:
土木建筑工程
出版日期:
2012-09-21

文章信息/Info

Title:
Multi-dimensional exponential interpolation response surface method for reliability analysis of complex structural engineering
作者:
程晔周翠英黄林冲文建华
中山大学工学院,广州 510275
Author(s):
CHENG Ye ZHOU Cui-ying HUANG Lin-chong and WEN Jian-hua
School of Engineering, Sun Yat-sen University, Guangzhou 510275, P.R.China
关键词:
结构工程可靠度分析多元指数函数插值基函数响应面方法正交实验设计
Keywords:
structural engineering reliability analysis multi-dimensional exponential funciton interpolation function response surface method orthogonal experimental design
分类号:
TU 311
DOI:
10.3724/SP.J.1249.2012.05427
文献标志码:
A
摘要:
引入多元指数型插值基函数,采用正交实验设计和有限元分析生成插值点,建立指数插值响应面函数,采用随机投点法和有限元分析生成校核样本点,以校核样本点原函数值与插值函数值距离最小为优化目标,求解多元指数插值函数的待定参数,并构造迭代求解格式控制求解精度,建立了复杂结构可靠度分析的多元指数插值响应面方法.算例分析结果表明,该方法对非线性程度较强的隐式功能函数具有较高的分析精度和效率.
Abstract:
The multi-dimensional exponential interpolation basis function is introduced and the interpolation points are produced by the orthographic experimental design and the finite element method (FEM). The exponential interpolation response surface method is set up. The checkpoints are produced by the random point method and FEM. The undetermined parameters of the exponential interpolation function are calculated by optimization method as the minimum distance of interpolation function values and the original function value. And then the multi-dimensional exponential interpolation response surface method for reliability analysis of complex structural engineering is set up. Several examples with comparative analysis show that it is highly accurate and efficient for complex structure reliability analysis in which the highly nonlinear performance function is unknown.

参考文献/References:

[1] WONG F S. Slope reliability and response surface method[J]. Journal of Geotechnical Engineering, 1985, 111(1): 32-53.
[2] Bucher C G, Bourgund U. A fast and efficient response surface approach for structural reliability problems[J]. Structural Safety, 1990, 7(1): 57-66.
[3] TONG Xiao-li, ZHAO Guo-fan. The response surface method in conjunction with geometric method in structural reliability analysis[J]. China Civil Engineering Journal, 1997, 30(4): 51-57.(in Chinese)
佟晓利,赵国藩. 一种与结构可靠度分析几何法相结合的响应面方法[J]. 土木工程学报,1997,30(4):51-57.
[4] SU Yong-hua,FANG Zu-lie,GAO Qian,Reliability analysis on special underground rockmass by response surface method[J]. Rock Mechanics and Engineering,2000,19(1):55-58.(in Chinese)
苏永华,方祖烈,高谦. 用响应面方法分析特殊地下岩体空间的可靠性[J]. 岩石力学与工程学报,2000,19(1):55-58.
[5] SU Yong-hua,WANG Xu-chun,ZHANG Zong-she. Response surface method of rock mass engineering stability reliability analysis and its application[J]. Journal of Engineering Geological,2001,9(4):381-386.(in Chinese)
苏永华,王旭春,张宗社. 岩体工程可靠性分析的响应面方法及其应用[J]. 工程地质学报,2001,9(4):381-386.
[6] Mandal S, Sivaprasad P V, Venugopal S. Artificial neural network modeling of composition-process -property correlations in austenitic stainless steels[J]. Materials Science and Engineering, 2008, 485(1/2): 571-580.
[7] Cheng J, Li Q S, Xiao R C. A new artificial neural network-based response surface method for structural reliability analysis[J]. Probabilistic Engineering Mechanics, 2008, 23(1): 51-63.
[8] GUI Jin-song,KANG Hai-gui. Improved BP ANN response surface method for structure reliability analysis[J]. Applied Mechanics,2005,22(1):127-131.(in Chinese)
桂劲松,康海贵. 结构可靠度分析的改进BP神经网络响应面法[J]. 应用力学学报,2005,22(1):127-131.
[9] JIANG Xiang-hua,YANG Xiao-guang,WANG Yan-rong. An iterative RBF ANN response surface method for structural reliability analysis[J]. Aerospace Power,2008,23(1):26-31.(in Chinese)
蒋向华,杨晓光,王延荣. 结构可靠度逐步逼近径向基神经网络响应面法[J]. 航空动力学报,2008,23(1):26-31.
[10] LI Hong-shuang, LU Zhen-zhou. A support vector machine response surface method for structure reliability analysis[J]. Computational Mechanics, 2009, 26(2): 199-203.(in Chinese)
李宏双,吕震宙. 结构可靠性分析的支持向量机响应面法[J]. 计算力学学报,2009,26(2):199-203.
[11] JIN Wei-liang, TANG Chun-xi, CHEN Jin. SVM based on response surface method for structural reliability analysis[J]. Computational Mechanics, 2007, 24(6): 713-718.(in Chinese)
金伟良,唐纯喜,陈进. 基于SVM的结构可靠度分析响应面方法[J]. 计算力学学报,2007,24(6): 713-718.
[12] LI Hong-shuang, LU Zhen-zhou, ZHAO Jie. A Support vector machine method for reilbility analysis based on weighted linear response surface[J]. Engineering Mechanics, 2007, 24(5): 67-71.(in Chinese)
李洪双,吕震宙, 赵洁. 基于加权线性响应面法的支持向量机可靠性分析方法[J]. 工程力学, 2007, 24(5):67-71
[13] JIN Wei-liang, YUAN Xue-xia. Response surface method based on LS-SVM for structural reliability analysis[J]. Journal of Zhejiang University Engineering Science, 2007, 41(1): 44-47.(in Chinese)
金伟良,袁雪霞. 基于LS-SVW的结构可靠度响应面分析方法[J]. 浙江大学学报工学版,2007, 41(1):44-47.
[14] LU Yan, XIE Xue-shu. A multi-dimensional interpolation global optimization algorithm and its application[J]. Information and Control, 1992, 21(2):84-89.(in Chinese)
吕彦,解学书. 多元插值全局优化算法及其应用[J]. 信息与控制,1992, 21(2):84-89.
[15] CHEN Kui. Design and Analysis of Experiments[M]. Beijing: Tsinghua University Press, 2005.(in Chinese)
陈魁. 实验设计与分析[M]. 北京:清华大学出版社,2005.
[16] LI Sheng-yong,ZHANG Zhe,SHI Lei,et al. A new method for selecting sampling points in response surface method[J]. Computational Mechanics,2009,24(6): 899-903.(in Chinese)
李生勇,张哲,石磊,等. 一种在响应面法中选取样本点的新方法[J]. 计算力学学报,2009,24(6):899-903.
[17] GONG Jin-xin. Computation Method for Reliability of Engineering Structure[M]. Dalian: Dalian University of Technology Press, 2003.(in Chinese )
贡金鑫. 工程结构可靠度计算方法[M]. 大连:大连理工大学出版社,2003.

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备注/Memo

备注/Memo:
Received:2011-01-13;Revised:2012-03-10;Accepted:2012-06-05
Foundation:National Natural Science Foundation of China(41030747); Fundamental Research Funds for the Central Universities(11lgpy04)
Corresponding author:Professor ZHOU Cui-ying. E-mail: ueit@mail.sysu.edu.cn
Citation:CHENG Ye, ZHOU Cui-ying, HUANG Lin-chong, et al. Multi-dimensional exponential interpolation response surface method for reliability analysis of complex structural engineering[J]. Journal of Shenzhen University Science and Engineering, 2012, 29(5): 427-431.(in Chinese)
基金项目:国家自然科学基金资助项目(41030747);中央高校基本科研业务资金资助项目(11lgpy04)
作者简介:程晔(1974-),男(汉族),湖南省岳阳市人,中山大学讲师、博士.E-mail:chengye0515@126.com
引文:程晔,周翠英,黄林冲,等. 多元指数插值响应面方法分析复杂结构可靠度[J]. 深圳大学学报理工版,2012,29(5):427-431.
更新日期/Last Update: 2012-09-26