单桩静载有限元分析及极限承载力的ANFIS预测研究
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摘要
单桩竖向极限承载力预测是桩基设计中一个重要的问题。本文利用ANSYS有限元分析工具,结合宁波市一工程实例,进行了桩基静载试验的数值模拟。并在此基础上,利用遗传算法—人工神经网络(简称GA-ANN)反分析方法对部分有限元计算参数进行了反分析研究。
为了提高单桩竖向极限承载力预测的准确性,本文采用自适应模糊逻辑推理系统(简称ANFIS)方法来预测单桩竖向极限承载力。基于ANFIS系统较强的学习能力和模糊逻辑推理功能,建立了单桩竖向极限承载力预测的自适应网络模糊推理系统。该系统通过静载荷试验测试结果的学习与预测检验,证明其预测精度良好、适用性强,因而具有较大的工程实用价值。
本文较为系统地阐述了结构可靠度的基本理论和常用方法,并分析了这些常用方法的计算精度问题。为了解决结构可靠度分析中计算方法的选择问题,本文采用了最优化算法和当量正态化相结合的方法来计算结构的可靠指标。
利用ANFIS系统预测进行了单桩竖向极限承载力的可靠度分析。采用无量纲随机变量的极限状态方程,结合宁波市桩基静载试桩资料进行可靠度分析:利用最优化方法计算单桩承载力可靠指标:并在以上基础上提出了单桩可靠度设计方法。
The prediction of vertical ultimate bearing capacity of single pile is an important problem in civil engineering. In this paper, the vertical ultimate bearing capacity of single pile has been studied using ANSYS software system. Based on a certain engineering example in Ningbo, the static simulation of single pile has been presented using numerical method. The inverse analysis is showed for some results analyzed by FEM(Finite Element Method) with GA-ANN(Genetic Algorithm-Artifical Neural Network) method.
In order to improve of the accuracy of prediction, ANFIS (Adaptive Network Based Fuzzy Inference System) is introduced into the prediction of vertical ultimate bearing capacity of single pile. Because of its strong learning ability and fuzzy logic function, an ANFIS model for predicting vertical ultimate bearing capacity of single pile is established in this paper. By training and predicting from static tests, it is demonstrated that this model has high precision and strong application.
Basic theory and classical algorithm of reliability analysis is presented, and the accuracy of classical algorithm is analyzed. In order to solve the problem of method choice of structural reliability theory in engineering application, the combined method of optimization and equivalent normalization is introduced to caculated the structural reliability index. Consequently, a research on reliability theory to predict the vertical ultimate bearing capacity of single pile using ANFIS is presented. The reliability analysis of bearing capacity of single pile is made by utilizing the limit state equation of dimensionless random variables, considering the statistics data of static test in Ningbo. The index of reliability of the single pile is calculated with optimization method. Finally, a reliability design method of single pile is given.
为了提高单桩竖向极限承载力预测的准确性,本文采用自适应模糊逻辑推理系统(简称ANFIS)方法来预测单桩竖向极限承载力。基于ANFIS系统较强的学习能力和模糊逻辑推理功能,建立了单桩竖向极限承载力预测的自适应网络模糊推理系统。该系统通过静载荷试验测试结果的学习与预测检验,证明其预测精度良好、适用性强,因而具有较大的工程实用价值。
本文较为系统地阐述了结构可靠度的基本理论和常用方法,并分析了这些常用方法的计算精度问题。为了解决结构可靠度分析中计算方法的选择问题,本文采用了最优化算法和当量正态化相结合的方法来计算结构的可靠指标。
利用ANFIS系统预测进行了单桩竖向极限承载力的可靠度分析。采用无量纲随机变量的极限状态方程,结合宁波市桩基静载试桩资料进行可靠度分析:利用最优化方法计算单桩承载力可靠指标:并在以上基础上提出了单桩可靠度设计方法。
The prediction of vertical ultimate bearing capacity of single pile is an important problem in civil engineering. In this paper, the vertical ultimate bearing capacity of single pile has been studied using ANSYS software system. Based on a certain engineering example in Ningbo, the static simulation of single pile has been presented using numerical method. The inverse analysis is showed for some results analyzed by FEM(Finite Element Method) with GA-ANN(Genetic Algorithm-Artifical Neural Network) method.
In order to improve of the accuracy of prediction, ANFIS (Adaptive Network Based Fuzzy Inference System) is introduced into the prediction of vertical ultimate bearing capacity of single pile. Because of its strong learning ability and fuzzy logic function, an ANFIS model for predicting vertical ultimate bearing capacity of single pile is established in this paper. By training and predicting from static tests, it is demonstrated that this model has high precision and strong application.
Basic theory and classical algorithm of reliability analysis is presented, and the accuracy of classical algorithm is analyzed. In order to solve the problem of method choice of structural reliability theory in engineering application, the combined method of optimization and equivalent normalization is introduced to caculated the structural reliability index. Consequently, a research on reliability theory to predict the vertical ultimate bearing capacity of single pile using ANFIS is presented. The reliability analysis of bearing capacity of single pile is made by utilizing the limit state equation of dimensionless random variables, considering the statistics data of static test in Ningbo. The index of reliability of the single pile is calculated with optimization method. Finally, a reliability design method of single pile is given.
引文
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[3]陈龙珠,梁国钱,朱金颖等.桩轴向荷载一沉降曲线的一种解析算法.岩土工程学报,1994,16(6):30-38.
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[5]叶玲玲,朱小林.传递函数法计算嵌岩桩承载力.同济大学学报(自然科学版).1995,23(3):315-320.
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[14]黄峰等.桩承载力确定方法的探讨.清华大学学报,1998,38(1):16-19.
[15]Lu Q,Randolph M F,Hu Y.Anumerical study of cone penetration in clay,Geotechnique,2004,54(4):257-267.
[16]谢耀峰,吴芳根,王云球.试桩未达极限状态时桩的极限承载力预测.水运工程,2002,9:5-8.
[17]周国林.单桩极限承载力的灰色预测.岩土力学,1991,12(1):37-43.
[18]Lee I M,Lee J H.Prediction of pile bearing capacity using artljicial neural networks.Computers and Georechnics.1996,18(3):189-200.
[19]冯紫良,孙海涛,王树娟.用人工神经网络预测单桩竖向承载力.同济大学学报,1999,27(4):397-401.
[20]Vanmarcke E H.Probabilistic modeling of soil.ASCE,1997,103:1227-1246.
[21]赵春风,卢隆宾,徐超,高大钊.预制桩竖向承载力的分项系数研究.岩土工程学报,2003,25(2):154-156.
[22]陈晓平,茜平一.桩基概率极限状态设计中抗力分项系数的确定.岩土力学,1994,15(2):37-42.
[23]刘兴景,周骞.单桩竖向承载力的可靠度设计与估计研究.长沙交通学院学报,2001,17(1):66-71.
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[26]liu P L,Liu K G.Selection of random field mesh in finite element reliability analysis.Journal of Engineering Meshanics.1993,119(4):667-680.
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[28]Phoon K K.Quek S T.Chow Y K.et al.Reliability analysis of pile settlement.Journal of Geotechnical Engineering.ASCE.1990.116(11):1717-1735.
[29]Quek S T.Chow Y K.Phoon K K.Further contribution to reliability-based pile settlement analysis Journal of Geotechnical Engineering.ASCE.1992.118(5):726-742.
[30]傅旭东,陈晓平,刘祖德.单桩承载力可靠度的非线性摄动随机有限元分析.岩石力学与工程学报,2003,22(1):103-109.
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[35]飞思科技产品研发中心.Matlab 6.5辅助优化计算与设计.北京:电子工业出版社.2003.
[36]廖雄华,李锡夔.关于土-结构相互作用界面力学行为的数值模拟.计算力学学报,2002,19(4):450-455.
[37]毛坚强.一种解岩土工程变形体-刚体接触问题的有限元法.岩土力学,2004,25(10):1592-1598.
[38]毛坚强.接触问题的一种有限元解法及其在岩土工程中的应用.土木工程学报,2004,37(4):70-75.
[39]冯夏庭著.智能岩石力学导论.北京:科学出版社.2000.
[40]Lee I M,Lee J h.prediction of pile bearing capacity using artificial networks.Computers and geotechnics,1996,18(3):189-199.
[41]何强,何英.MATLAB扩展编程.北京:清华大学出版社.2002.
[42]胡守仁等.神经网络导论.长沙:国防科技大学出版社.1993.
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[49]张永兴,王桂林,胡居义著.岩石洞室地基稳定性分析方法与实践.北京:科学出版社.2005.
[50]李雪红,徐洪钟,顾沖时,吴中如.基于ANFIS的裂缝开度不利荷载组合提取方法.长江科学院院报,2005,22(2).52-56.
[51]J S Roger Jang.ANFIS:Adaptive-Network-based Fuzzy Inference Systems.IEEE Trans.on Systems.Man.and Cybemetics.1993.23(3):665-685.
[52]沈华中,沈细中.自适应神经模糊系统的地基承载力组合模型.长江科学院院报,2002,19(3):41-44.
[53]葛新权.应用数理统计.北京:中国铁道出版社.1995.
[54]Christensen P T,Murtostsu Y.Application of Structural Systems Reliability Theory.Springer Berlin,1986.
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