基于ISC-Kriging响应面法的桥梁抗震动力可靠度分析
发布时间:2019-05-13 14:05
【摘要】:响应面法是解决桥梁抗震可靠度中非线性和复杂性等问题的有效方法,但其存在代理模型类型和训练样本的选取问题.鉴于此,提出了基于样本填充准则(ISC)最优化和Kriging模型的改进序贯抽样响应面法.其以Kriging模型作为代理模型,结合蒙特卡洛抽样技术,利用Kriging模型优秀的预测值估计性能及独有的预测均方差估计能力,建立包含未知样本预测值和预测均方差的ISC函数,在迭代阶段通过求解ISC最优化问题,进行局部和全局的平衡搜索,逐一序贯产生后续训练样本.最后采用所提的基于ISC-Kriging改进响应面法对随机地震激励下某悬索桥的动力可靠度问题进行了计算分析.结果表明,所提方法具有较高的准确性、高效性.
[Abstract]:Response surface method is an effective method to solve the nonlinear and complex problems in seismic reliability of bridges, but it has the problem of agent model type and training sample selection. In view of this, an improved sequential sampling response surface method based on sample filling criterion (ISC) optimization and Kriging model is proposed. The Kriging model is used as the proxy model, combined with Monte Carlo sampling technique, and the ISC function with unknown sample prediction value and prediction mean square error is established by using the excellent prediction estimation performance and unique prediction mean square error estimation ability of Kriging model. In the iterative stage, the local and global equilibrium search is carried out by solving the ISC optimization problem, and the subsequent training samples are generated sequentially one by one. Finally, the dynamic reliability of a suspension bridge excited by random earthquake is calculated and analyzed by using the improved response surface method based on ISC-Kriging. The results show that the proposed method has high accuracy and efficiency.
【作者单位】: 华南理工大学土木与交通学院;
【基金】:国家自然科学基金资助项目(51208208) 中国博士后科学基金资助项目(2013M542174) 华南理工大学中央高校基本科研业务费专项资金资助项目(2015ZM114)~~
【分类号】:U441
本文编号:2475946
[Abstract]:Response surface method is an effective method to solve the nonlinear and complex problems in seismic reliability of bridges, but it has the problem of agent model type and training sample selection. In view of this, an improved sequential sampling response surface method based on sample filling criterion (ISC) optimization and Kriging model is proposed. The Kriging model is used as the proxy model, combined with Monte Carlo sampling technique, and the ISC function with unknown sample prediction value and prediction mean square error is established by using the excellent prediction estimation performance and unique prediction mean square error estimation ability of Kriging model. In the iterative stage, the local and global equilibrium search is carried out by solving the ISC optimization problem, and the subsequent training samples are generated sequentially one by one. Finally, the dynamic reliability of a suspension bridge excited by random earthquake is calculated and analyzed by using the improved response surface method based on ISC-Kriging. The results show that the proposed method has high accuracy and efficiency.
【作者单位】: 华南理工大学土木与交通学院;
【基金】:国家自然科学基金资助项目(51208208) 中国博士后科学基金资助项目(2013M542174) 华南理工大学中央高校基本科研业务费专项资金资助项目(2015ZM114)~~
【分类号】:U441
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