多维地震作用下结构的瑞利阻尼系数实用计算方法  

Practical Calculation Method for Rayleigh Damping Coefficient of Structures under Multi-dimensional Seismic Excitation

作　　者：徐汉勇 何泽 余志武[3] 李玲瑶[3] XU Hanyong;HE Ze;YU Zhiwu;LI Lingyao(College of Civil Engineering,Changsha University,Changsha 410022,China;Survey and Design Institute for Construction Engineering,Zhuhai 519000,China;National Engineering Laboratory for High Speed Railway Construction,Central South University,Changsha 410083,China)

机构地区：[1]长沙学院土木工程学院,湖南长沙410022 [2]珠海市建筑工程勘察设计院有限公司,广东珠海519000 [3]中南大学高速铁路建造技术国家工程实验室,湖南长沙410083

出　　处：《华北水利水电大学学报（自然科学版）》2023年第5期101-108,共8页Journal of North China University of Water Resources and Electric Power：Natural Science Edition

基　　金：国家自然科学基金项目(50938008);湖南省教育厅科学研究项目(20C0169)。

摘　　要：瑞利阻尼模型广泛应用于结构的多维抗震计算中,阻尼系数计算方法影响地震响应。因此,有必要对多维地震作用下结构的瑞利阻尼系数实用计算方法进行研究。首先,基于单维地震激励应变能时程响应,求得任意阶振型对应应变能响应的最大值,并结合完全平方和平方根(Complete Quadratic Combination,CQC)振型组合方式,得到单维地震激励应变能响应计算方法。在此基础上,利用平方和平方根(Square Root of Sum of Square,SRSS)多维组合方法和等价处理,构建振型阻尼比变化量平方的新型权重因子,并提出了瑞利阻尼系数实用计算方法。分别以带楼板的塔式结构和不带楼板的K8单层球面网壳结构为例,对瑞利阻尼系数实用计算方法和已有基于应变能响应阻尼系数算法进行了比较。结果表明:应用瑞利阻尼系数实用计算方法求得的各类结构的节点位移和杆件内力误差均较小,且计算效率更高;所提出的瑞利阻尼系数实用计算方法是合理的,可应用于结构多维抗震计算。The Rayleigh damping model is widely used in multi-dimensional seismic calculations of structures,and the calculation method of damping coefficient affects seismic response.Therefore,it is necessary to study the practical calculation method for the Rayleigh damping coefficient of structures under multi-dimensional earthquake action.Based on the one-dimensional seismic excitation strain energy time history response,the maximum value of the strain energy response corresponding to any mode shape is obtained.Combined with the Complete Quadratic Combination(CQC)mode shape combination method,a calculation method for the strain energy response to single-dimensional seismic excitation is obtained.On this basis,using the Square Root of Sum of Square(SRSS)multi-dimensional combination method and equivalent processing,a new weight factor for the square of the change in mode damping ratio is constructed,and a practical calculation method for Rayleigh damping coefficient is proposed.Taking the tower structure with floor and the K8 single-layer spherical reticulated shell structure without floor as examples,the practical algorithm of Rayleigh damping coefficient and the existing algorithm based on strain energy response damping coefficient are compared.The results are as follows.The practical algorithm of Rayleigh damping coefficient is used to calculate the node displacement and internal force errors of various structures,with smaller errors and higher computational efficiency.The proposed practical algorithm for Rayleigh damping coefficient is reasonable and can be applied to multi-dimensional seismic calculation of structures.

关 键 词：瑞利阻尼系数 权重因子 应变能响应 SRSS多维组合 

分 类 号：TU311.3[建筑科学—结构工程]