广东金马大桥空间耦合自由振动分析的理论研究

英文篇名：Theoretical Study on Space Coupling Free Vibration Analysis of Jinma Bridge
中文刊名：武汉理工大学学报(交通科学与工程版)
英文刊名：Journal of Wuhan University of Technology(Transportation Science & Engineering)
作者：余报楚 ; 邱文亮 ; 张哲 ; 李生勇
英文作者：Yu Baochu1 ; 2) Qiu Wenliang2) Zhang Zhe2) Li Shengyong3) (Dept.of Civil Engineering ; Dalian Fishery Universty ; Liaoning ; Dalian 116023)1) (Institute of Bridge Engineering ; Dalian University of Technology ; Liaoning ; Dalian 116023)2) (College of Civil Engineering ; Fuzhou University ; Fuzhou 350002)3)
中文关键词：金马大桥 ; 协作体系 ; 耦合 ; 自由振动 ; 泛函 ; 广义变分
英文关键词：Jinma bridge ; collaboration ; coupling ; free vibration ; functional ; generalized variation
出版日期：2007-10-15
机构：大连水产学院土木工程学院,大连理工大学桥梁工程研究所,大连理工大学桥梁工程研究所,福州大学土木工程学院大连116023,大连理工大学桥梁工程研究所大连116023,大连116023,大连116023,福州350002
年：2007
期：05
出版单位：武汉理工大学学报(交通科学与工程版)

摘要

基于大位移非线性弹性理论的广义变分原理,考虑了加劲梁轴向压缩应变能和剪切应变能的影响,建立了斜拉桥与T构协作体系空间耦合自由振动的大位移不完全广义势能泛函,通过约束变分导出了协作体系斜拉桥的加劲主梁的纵向振动、竖向挠曲振动、横向挠曲振动、扭转振动及加劲主塔的纵向振动及扭转振动的基础微分方程,并以数值计算验证推导的有效性.
The main structure of Guangdong Jinma Bridge is a kind of special combined system of T shape steel structure and single tower cable stayed bridge.The successful implementation of this special structure has drawn more attention.In this paper,based on the generalized potential variation principle of nonlinear elasticity theory with large deflection,the incomplete generalized potential energy functional with large deflection is established on the space coupling free vibration of combined structure by considering the effect of axial compressive and shearing strain energy of stiffening girder.By constraint variation,the differential equations of longitudinal vibration,vertical vibration,lateral vibaration,and torsional vibration of the main girder and the longitudinal vibration,lateral vibration of the main tower have been derived.It can provide theoretical basis for the analysis of free vibration of similar bridges.

引文

[1]张哲.金马大桥设计实践与理论探索.大连理工大学学报,1993,39(2):285-293
    [2]Abdel-Ghaffar A M.Vertical vibration analysis ofsuspension bridges.Journal of the structure engi-neering division,ASCE,1980,106(10):2 053-2 075
    [3]陈淮.大跨度斜拉桥动力特性分析.计算力学学报,1997,14(1):57-63
    [4]谢开仲,秦英,林海瑛.大跨度CFST拱桥地震反应分析方法研究.武汉理工大学学报:交通科学与工程版,2005,29(5):700-703
    [5]伏魁先,张惠群.几何非线性因素对密索型斜拉桥自振特性的影响.西南交通大学学报,1990,76(2):10-13