关于超长沉管隧道地震反应分析中瑞利阻尼矩阵的讨论  

Discussion on Rayleigh damping matrix for seismic response analysis of long immersed tube tunnel

作　　者：董云[1] 楼梦麟[1] 

机构地区：[1]同济大学土木工程防灾国家重点实验室,上海200092

出　　处：《地震工程与工程振动》2014年第1期87-94,共8页Earthquake Engineering and Engineering Dynamics

基　　金：国家科技支撑计划项目(2011BAG07B00)

摘　　要：以港珠澳超长沉管隧道为例,采用质量-弹簧模型,通过时域数值计算,分析了在不同Rayleigh阻尼矩阵下沉管隧道在不同地震输入荷载下地震反应的特点与区别,并同地震动响应的"真实解"进行了比较,讨论了考虑地震输入荷载影响时Rayleigh阻尼系数的选择方式,提出在形成Rayleigh阻尼矩阵时,可取模型的第1阶振型与输人荷载的反应谱卓越频率来确定Rayleigh阻尼的比例系数。With the background of the Hong Kong, Zhuhai and Macao long immersed tube tunnel project, a mass- spring model was adopted in the time-domain to analyze the seismic responses of immersed tunnel under different seismic excitations. The characteristics and differences of responses were studied and compared with the real re- sponses in order to determine the Rayleigh damping coefficient considering different seismic excitations. A method of formation of Rayleigh damping matrix was put forward, in which, the Rayleigh damping coefficients were calculated by the first-order natural vibration frequency and the predominant frequency of the input response spectrum.

关 键 词：沉管隧道 质量-弹簧模型 Rayleigh阻尼矩阵 模态叠加法 地震反应 阻尼特性 

分 类 号：O327[理学—一般力学与力学基础] P315.92[理学—力学]