加权最小二乘法求解Rayleigh阻尼系数的讨论

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H 2i H′i2 A 2i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 2i H′2i A 2i 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.