高拱坝地震反应时域分析中Rayleigh阻尼矩阵建模方法讨论  

Discussion on Rayleigh Damping Matrix Modeling of High‑rise Arch Dam Seismic Response Analysis in Time Domain

作　　者：唐玉 楼梦麟[3] 罗超 刘华新 殷琳 TANG Yu;LOU Menglin;LUO Chao;LIU Huaxin;YIN Lin(School of Hydraulic Engineering,Dalian University of Technology,Dalian 116024,China;Key Laboratory of Roads and Railway Engineering Safety Control(Shijiazhuang Tiedao University),Ministry of Education,Shijiazhuang 050043,China;State Key Laboratory of Disaster Reduction in Civil Engineering,Tongji University,Shanghai 200092,China;School of Civil and Transportation Engineering,Ningbo University of Technology,Ningbo 315211,China)

机构地区：[1]大连理工大学水利工程学院,辽宁大连116024 [2]石家庄铁道大学道路与铁道工程安全保障省部共建教育部重点实验室,河北石家庄050043 [3]同济大学土木工程防灾国家重点实验室,上海200092 [4]宁波工程学院建筑与交通工程学院,浙江宁波315211

出　　处：《防灾减灾工程学报》2023年第3期518-525,共8页Journal of Disaster Prevention and Mitigation Engineering

基　　金：国家自然科学基金项目(52008074,52079022);道路与铁道工程安全保障省部共建教育部重点实验室(石家庄铁道大学)项目(STDTKF202004)资助。

摘　　要：讨论了不同Rayleigh阻尼矩阵建模方式对时域内高拱坝地震反应计算准确度的影响。以某一高240 m的混凝土拱坝为研究对象,分析了结构的动力特性,分别计算了结构在双向和三向地震作用下,当采用不同Rayleigh阻尼矩阵模型时的结构动力反应。建立了8种Rayleigh阻尼矩阵双参数模型,其中第一参数频率取拱坝第1、2阶频率,第二参数频率取拱坝第5、6阶频率及地震波反应谱的峰值频率和重心频率。计算结果表明:当高拱坝的自振特性相比于地震波频谱分布表现出长周期结构动力特征时,不同Rayleigh阻尼矩阵模型对计算结果影响很大。建议采用拱坝顺河向基频和地震波反应谱峰值频率作为两个参数频率,由该模型计算所得的坝体地震反应的主要计算结果总体上计算误差为正,且误差值有限。The effect of Rayleigh damping matrix modeling on the computational accuracy of the seismic response of high-rise arch dams in the time domain is discussed in this study.The dynamic characteristics of a 240 m-high arch dam were analyzed under bidirectional and three-directional seismic excitations with different Rayleigh damping matrix modes.Eight Rayleigh damping matrix models associated with two specific reference frequencies have been established,where the first reference frequency is taken as the first or second frequency of the system,while the second reference frequency is set to be the fifth or sixth frequency of the system,as well as the peak frequency and the center of gravity frequency of the seismic response spectrum.The results show that the selection of damping coefficients has a significant influence on the calculation accuracy of structural dynamic responses for high-rise arch dams,which are long-period systems.It is suggested that the river-direction fundamental frequency of the arch dam and the peak frequency of the seismic spectra should be chosen as the two reference frequencies,and the results derived from this model are generally positive,and the error value is limited when compared with other models.

关 键 词：高拱坝 地震反应 Rayleigh阻尼矩阵 时域分析 模态叠加 

分 类 号：TB591[理学—物理]