悬浮隧道基于弹性边界的力学模型与移动荷载响应分析  

Mechanical Model and Dynamic Responses by Moving Loads for the Submerged Floating Tunnel Based on Elastic Boundaries

作　　者：刘炎[1] 朱灿 易壮鹏[1] Liu Yan;Zhu Can;Yi Zhuangpeng(College of Civil Engineering,Changsha University of Sciense and Technology,Changsha410114,China)

机构地区：[1]长沙理工大学土木工程学院,长沙410114

出　　处：《动力学与控制学报》2023年第4期103-113,共11页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(52278139,52278141,51878073);湖南省自然科学基金(2022JJ30612);长沙市科技计划项目(kq2202204);湖南省教育厅科学研究项目(19A004)。

摘　　要：悬浮隧道是一种创新型的水中交通结构,这种悬浮于水中的结构在考虑复杂边界条件下的力学建模及交通荷载引起的结构响应值得深入研究.本文将跨度范围内由多段锚索支撑的悬浮隧道视为弹性支撑梁,同时将两端的复杂边界条件考虑为具有不同约束刚度的竖向和转动弹性支撑,流体荷载由Morison方程考虑,建立了悬浮隧道在任意荷载作用下的动力学模型及考虑自振特性的特征方程.研究了跨内支撑刚度与边界约束参数多种组合条件下的频率、模态分布特征,得到了相应的敏感区间.同时,以某型号高铁列车为背景并将其考虑为一列移动集中力,研究了悬浮隧道结构关键位置的荷载响应与弹性支撑刚度之间的关系,结果表明跨内支撑刚度、边界约束刚度均对竖向位移存在显著影响,整体上约束刚度越大,相应的位移越小.The submerged floating tunnel(SFT)is an innovative underwater traffic structure.The mechanical modeling and the structural response caused by traffic loads for this kind of underwater floating structure under complex boundary conditions deserve further study.In this paper,the SFT supported by multiple intermediate anchor cables is considered as an elastic supporting beam,and the complex boundary conditions at both ends are considered as vertical and rotational elastic supports with different constraint stiffness.The fluid load is considered by the Morison equation.The dynamic model of the SFT under arbitrary load is built,and the corresponding characteristic equation is established to consider the natural vibration characteristics.The frequencies and modes for multiple combinations of intermediate supporting stiffness and boundary constraint parameters are studied,and the corresponding sensitive intervals are obtained.At the same time,a high-speed train is taken as background and it is considered as a series of moving concentrated force.The relationship between the load response at the key position of the SFT structure and the stiffness of the elastic support is studied.The results show that the stiffness of the intermediate supports and boundary constraints all has significant effects on the vertical displacement.The larger the constraint stiffness is,the smaller the vertical displacement is.

关 键 词：悬浮隧道 力学模型 弹性边界 频率与模态 移动荷载响应 

分 类 号：TV36[水利工程—水工结构工程] TU311.3[建筑科学—结构工程]