直线矩形箱梁静力分析的双翘曲位移函数法  

An Approach of Two-Parameter Warping Displacement Function for the Static Analysis of Straight Rectangle Box Girders

作　　者：甘亚南[1] 周广春[2] 王振波[3] 

机构地区：[1]盐城工学院土木工程学院,江苏盐城224051 [2]哈尔滨工业大学土木工程学院,黑龙江哈尔滨150090 [3]南京工业大学土木工程学院,江苏南京210009

出　　处：《中国铁道科学》2010年第6期50-55,共6页China Railway Science

基　　金：国家自然科学基金资助项目(50578054)

摘　　要：为了准确反映矩形箱梁翼板的剪滞变化幅度,分别对下翼板和上翼板悬臂部分各设置1个剪滞纵向位移差函数,以最小势能原理为基础,考虑剪力滞后和剪切变形效应的影响,推导出箱形截面梁的控制微分方程和自然边界条件,据此获得相应的广义位移闭合解。运用传统分析方法、板壳有限元法和给出的双翘曲位移函数法,分析跨宽比、荷载类型等因素对矩形箱梁翼板剪滞效应的影响。结果表明:设置矩形箱梁双翘曲剪滞纵向位移差函数可以更好地反映矩形箱梁翼板纵向位移和正应力的变化;与传统分析方法相比,双翘曲位移函数法与有限元数值解吻合更好。This paper proposes an approach of analyzing the effect of the shear lag and the shear deformation on the static characteristics of rectangle thin-walled box girders generally used in engineering,in consideration of two different longitudinal displacement difference functions to accurately reflect the amplitude of change of shear lag in the thin-walled box girders with the wing slabs of various widths.The principle of minimum potential energy is applied to establish the governing differential equations and corresponding natural boundary condition,and the closed-form solutions of generalized displacements are obtained.The variations of the shear lag effects of rectangle thin-walled box girders,caused by the change of factors such as span-width ratio,type of loading are discussed.By the calculation examples,this study compares the fi-nite shell element solutions with the traditional method and the analytical solutions of this paper,the result manifests that the approach of two-parameter warping displacement function can more accurately reflect the variations of the longitudinal displacement and the normal stress in the wing slabs,thus the analytical solutions of this paper is still more identical with the finite shell element solutions.

关 键 词：桥梁 矩形薄壁箱梁 剪力滞后 静力分析 最小势能原理 

分 类 号：U448.223[建筑科学—桥梁与隧道工程]