薄壁曲线箱梁剪滞翘曲位移模式研究  

Shear lag warping displacement mode research of thin-walled curved box girder

作　　者：卢海林 蔡恒 黄民水 杨宏印 LU Hailin;CAI Heng;HUANG Minshui;YANG Hongyin(School of Civil Engineering and Architecture.Wuhan Institute of Technology,Wuhan 430074,China;School of Civil and Architectural Engineering,Wuhan University,Wuhan 430072,China)

机构地区：[1]武汉工程大学土木工程与建筑学院,湖北武汉430074 [2]武汉大学土木建筑工程学院,湖北武汉430072

出　　处：《武汉大学学报（工学版）》2019年第1期40-45,94,共7页Engineering Journal of Wuhan University

基　　金：国家自然科学基金项目(编号:51378404);武汉工程大学研究生创新基金项目(编号:CX2016036)

摘　　要：为了寻找精度较高的剪力滞翘曲位移模式,分别假设曲线箱梁剪力滞翘曲位移函数按抛物线系列、余弦函数、指数函数、悬链线分布,综合运用能量变分法和Hamilton原理推导出曲线箱梁在各种剪力滞翘位移模式下的振动控制微分方程,通过假设位移场函数,由Galerkin法对曲线箱梁1阶竖向弯曲振动基频进行了求解,并获得了显示解.数值分析算例的结果表明:剪力滞翘曲位移模式对自振频率影响较小,箱梁翼板剪力滞翘曲位移函数选用2次抛物线和悬链线精度较高,能够较好地反映曲线箱梁空间受力性能;理论计算值与ANSYS板壳单元数值结果相比较,误差仅为0.57%,吻合良好,验证了理论推导的正确性与可靠性.In order to search for shear lag warping displacement modes with higher precision,parabola series,cosine function,exponential function and catenary are respectively assumed.Vibration governed differential equations of curved box girder under different shear lag warping displacement modes are deduced by energy variation method and Hamilton principle,by assuming displacement field functions,a solution to the first set bending frequency of curved box girder is carried out with Galerkin method;and then the explicit solution is obtained.The results of numerical analysis case study indicate that shear lag warping displacement modes have a limit influence on vibration frequency;the precision is higher when selecting cubic parabola or catenary as the shear lag warping displacement mode of flange,which can better reflect the spatial mechanical behavior of curved box girder.Meanwhile,compared the theoretical calculating value with numerical solution of ANSYS,the error between them is only 0.57%;and they agree well with each other,which demonstrates the correctness and reliability of theoretical deduction.

关 键 词：薄壁曲线箱梁 剪滞翘曲位移模式 振动基频 能量变分 有限元 

分 类 号：U448.42[建筑科学—桥梁与隧道工程]