基于免疫算法的岩土工程可靠度分析
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摘要
基于免疫算法原理和可靠度指标的几何涵义,提出了计算岩土工程可靠度指标和设计验算点的全局优化算法。该方法模拟了生物免疫系统,其主要步骤包括:B细胞与抗原之间的亲和度计算与选择、B细胞的克隆、变异和记忆细胞的产生等。对于功能函数的非线性和复杂性,避免了繁复的求导数工作。通过两个工程实例,证明了本文提出的方法进行岩土工程可靠度分析的有效性。
Based on the immune algorithm and geometric implication of the reliability index,a global optimization method was put forward to calculate the reliability index.The algorithm simulated the natural process of biological immune systems,and the basic steps of the algorithm included: computing affinity between the B-cells and the antigen and selecting;cloning and mutating of the B-cells and producing of memory cells etc.By this method,reliability of the nonlinear and complex performance function of geotechnical engineering could be obtained without derivation.It was shown by two practical cases that the present method was reliable and accurate in the reliability analysis of geotechnical engineering.
Based on the immune algorithm and geometric implication of the reliability index,a global optimization method was put forward to calculate the reliability index.The algorithm simulated the natural process of biological immune systems,and the basic steps of the algorithm included: computing affinity between the B-cells and the antigen and selecting;cloning and mutating of the B-cells and producing of memory cells etc.By this method,reliability of the nonlinear and complex performance function of geotechnical engineering could be obtained without derivation.It was shown by two practical cases that the present method was reliable and accurate in the reliability analysis of geotechnical engineering.
引文
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[3]DASGUP ta D,ATTOH-OKINE N.Immunity based systems:A survey[C]//Proc IEEE International Conference on Systems,Man and Cybernetics,Orlando,Florida,1997.369–374.
[4]郑俊杰,郭嘉,鲁燕儿.基于免疫算法的单桩承载力预测[J].华中科技大学学报(城市科学版),2006,23(2):5–8.(ZHENG Jun-jie,GUO Jia,LU Yan-er.Prediction of ultimate bearing capacity of pile based on immune algorithm[J].Journal of Huazhong University of Science and Technology(Urban Science Edition),2006,23(2):5–8.(in Chinese))
[5]TIMMIS J,KNIGHT T.Artificial immunes system:Using the immune system as inspiration for data mining[C]//ABBASS H A,SARKER R A,NEWTON C S,eds.Data Mining:A Heuristic Approach.Hershey:Idea Publishing Group,2001:209–230.
[6]肖人彬,王磊.人工免疫系统:原理、模型、分析及展望[J].计算机学报,2002,25(12):1281–1293.(XIAO Ren-bin,WANG Lei.Artificial immune system:principle,model,analysis and perspectives[J].Chinese Journal of Computers,2002,25(12):1281–1293.(in Chinese))
[7]DE CASTRO L N,VON ZUBEN F J.Clonal selection algorithm with engineering applications[C]//Proc GECCO 00,Las-Vegas,Nevada,USA.2000:36–37.
[8]罗印生,李人厚,张雷,等.人工免疫算法在函数优化中的应用[J].西安交通大学学报,2003,37(7):840–843.(LUO Yin-sheng,LI Ren-hou,ZHANG Lei,et al.Application of artificial immune algorithm to function optimization[J].Journal of Xi’an Jiaotong University,2003,37(7):840–843.(in Chinese))
[9]林焰,郝聚民,纪卓尚,等.隔离小生境遗传算法研究[J].系统工程学报,2000,15(3):86–91.(LIN Yan,HAO Ju-min,JI Zhuo-shang,et al.A study of genetic algorithm based on isolation niche technique[J].Journal of Systems Engineering,2000,15(3):86–91.(in Chinese))
[10]葛红.免疫算法与遗传算法比较[J].暨南大学学报,2003,24(2):22–25.(GE Hong.Comparison of immune algorithm with genetic algorithm[J].Journal of Jinan University,2003,24(2):22–25.(in Chinese))
[11]吴世伟.结构可靠度分析[M].北京:人民交通出版社,1990.(WU Shi-wei.Structural reliability analysis[M].Beijing:China Communications Press,1990.(in Chinese))
[12]桂劲松,康海贵.结构可靠度分析的响应面法及MATLAB实现[J].计算力学学报,2004,21(12):683–687.(GUI Jin-song,KANG Hai-gui.Response surface method for structural reliability analysis and realization with Matlab[J].Chinese Journal of Computational Mechanics,2004,21(12):683–687.(in Chinese))
[13]冷伍明.基础工程可靠度分析与设计理论[M].长沙:中南大学出版社,2000.(LENG Wu-ming.Reliability analysis and design theory in foundation engineering[M].Changsha:Central South University Press,2000.(in Chinese))
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