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加权最小二乘法求解Rayleigh阻尼系数的讨论
引用本文:王淮峰,楼梦麟,张如林.加权最小二乘法求解Rayleigh阻尼系数的讨论[J].计算力学学报,2017,34(5):603-607.
作者姓名:王淮峰  楼梦麟  张如林
作者单位:1. 厦门理工学院土木工程与建筑学院 ,厦门,361000;2. 同济大学土木工程防灾重点实验室 ,上海,200092;3. 中国石油大学(华东)储运与建筑工程学院 ,青岛,266580
基金项目:国家自然科学基金(51608462,51408609);福建省教育厅资助(JAT160349);厦门理工学院高层次人才(YKJ15011R)资助项目.
摘    要:合理确定Rayleigh阻尼矩阵比例系数对于准确计算场地地震响应有重要影响。本文提出以H2iH′2iA2i为权重系数,采用加权最小二乘法求解Rayleigh阻尼矩阵比例系数,以提高土层地震反应时程分析的计算精度。以上海某处地质剖面建立深覆盖土层有限元模型,计算其在28条各具代表性的基岩场地地震波激励下的动力反应,与其他研究成果对比分析,验证本文方法的精度及适用性。

关 键 词:Rayleigh阻尼矩阵  比例系数  深覆盖土层  地震响应  时程分析
收稿时间:2016/8/1 0:00:00
修稿时间:2016/11/27 0:00:00

Discussion on weighted least-squares method for solving Rayleigh damping coefficients
WANG Huai-feng,LOU Meng-lin,ZHANG Ru-lin.Discussion on weighted least-squares method for solving Rayleigh damping coefficients[J].Chinese Journal of Computational Mechanics,2017,34(5):603-607.
Authors:WANG Huai-feng  LOU Meng-lin  ZHANG Ru-lin
Institution:School of Civil Engineering and Architecture, Xiamen University of Technology, Xiamen 361000, China,State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University, Shanghai 200092, China and School of Pipeline and Civil Engineering, China University of Petroleum, Qingdao 266580, China
Abstract:The appropriate determination of Rayleigh confficients for the damping matrix is significant for accurate analysis of soil layers with deep deposit.|H|i2|H|''i2|A|i2 was proposed to be the weighting coefficient of weighted least-squares method,which is widely used to obtain Rayleigh damping coefficients,to enhance computation accuracy of time-history analysis of seismic response of soil model.Dynamic response of a typical soil model with deep deposit,exciting by 28 typical seismic waves,was analyzed to verify the accuracy and applicability of the proposed method.
Keywords:Rayleigh damping matrix  damping parameters  soil layers with deep deposit  seismic response  time-history analysis
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