等截面波纹腹板钢箱组合连续梁自振特性  

Natural Vibration Characteristics of Continuous Box Composite Girder with Corrugated Steel Webs of Uniform Cross-Section

作　　者：张紫辰 王根会[1] 樊江 金学军[1] ZHANG Zichen;WANG Genhui;FAN Jiang;JIN Xuejun(School of Civil Engineering,Lanzhou Jiaotong University,Lanzhou Gansu 730070,China;Gansu Province Transportation Planning,Survey&Design Institute Co.,Ltd.,Lanzhou Gansu 730070,China)

机构地区：[1]兰州交通大学土木工程学院,甘肃兰州730070 [2]甘肃省交通规划勘察设计院股份有限公司,甘肃兰州730070

出　　处：《中国铁道科学》2021年第4期51-59,共9页China Railway Science

基　　金：甘肃省重大科技专项计划项目(19ZD2GA002);甘肃省交通厅科研项目(2016-34)。

摘　　要：综合考虑剪力滞效应、褶皱效应、剪切变形和转动惯量的影响,对组合箱梁上下翼板和悬臂板设立2个不同的剪滞纵向动位移差函数,采用Hamilton原理和能量变分法,建立组合箱梁的弹性控制微分方程和自然边界条件,得到相应广义位移的闭合解,进行等截面波纹腹板钢箱组合连续梁的自振特性研究。结果表明:该闭合解计算结果与有限元计算结果及模型试验值吻合良好,剪力滞效应降低了波纹腹板钢箱组合连续梁的竖向刚度,其影响随宽跨比的增大而趋强;受褶皱效应的影响,组合梁的自振频率降低,随着频率阶数升高,剪力滞和褶皱效应的影响增大;底板厚度的增加对连续组合箱梁1阶频率的影响较大,对其高阶频率的影响趋势减弱;采用换算截面法计算波纹腹板钢箱组合连续梁的自振特性具有可靠性。Considering the influence of shear lag effect,accordion effect,shear deformation and the moment of inertia comprehensively,two different shear lag longitudinal dynamic displacement difference functions were established for the top and bottom flange slabs and cantilever plates of composite box girder.The Hamilton principle and energy variational method were applied to establish the elastic governing differential equations and natural boundary conditions of composite box girder.The closed-form solutions of generalized displacement were obtained accordingly,and the natural vibration characteristics of continuous box composite girder with corrugated steel webs of uniform cross-section were studied.The results show that:the results of the closed solution are in good agreement with the finite element calculation results and model test values.The shear lag effect reduces the vertical stiffness of the continuous box composite girder with corrugated steel webs.The influence of shear lag effect becomes stronger with the increase of width-span ratio.The natural frequency of composite girder decreases due to the accordion effect,and the influence of shear lag and accordion effect increases with the increase of frequency order.The increase of the bottom plate thickness has a great influence on the first-order frequency of continuous composite box girder,but the influence on the higher-order frequency is weakened.It is reliable to calculate the natural vibration characteristics of continuous box composite girder with corrugated steel webs by using the method of transformed section.

关 键 词：波纹腹板钢箱组合连续梁 自振特性 剪力滞效应 褶皱效应 能量变分法 

分 类 号：U448.21[建筑科学—桥梁与隧道工程]