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Discussion on weighted least-squares method for solving Rayleigh damping coefficients[J].计算力学学报,2017,34(5):603~607

Discussion on weighted least-squares method for solving Rayleigh damping coefficients
Discussion on weighted least-squares method for solving Rayleigh damping coefficients

DOI：10.7511/jslx201705011

 作者 单位 E-mail 王淮峰 厦门理工学院 土木工程与建筑学院, 厦门 361000 楼梦麟 同济大学 土木工程防灾重点实验室, 上海 200092 张如林 中国石油大学(华东) 储运与建筑工程学院, 青岛 266580 zhangrulin@upc.edu.cn

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|H|i2|H|'i2|A|i2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。

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.