薄壁箱梁纵向剪滞翘曲函数精度选择的研究  

AN APPROACH FOR PRECISION SELECTION OF LONGITUDINAL SHEAR LAG WARPING DISPLACEMENT FUNCTION OF THIN-WALLED BOX GIRDERS

作　　者：甘亚南[1] 周广春[1] 

机构地区：[1]哈尔滨工业大学土木工程学院,黑龙江哈尔滨150090

出　　处：《工程力学》2008年第6期100-106,共7页Engineering Mechanics

基　　金：国家自然科学基金项目(50578054)

摘　　要：根据箱形结构纵向翘曲位移函数设置的基本原理,选择一系列符合箱梁基本翘曲模式的翘曲位移函数,然后以最小势能原理为基础,综合考虑剪力滞后效应、剪切变形和转动惯量的影响,推导出相应翘曲位移函数箱形截面梁的振动控制微分方程和边界条件,据此得出箱形结构的固有频率方程。依据固有频率方程求出特定边界条件下相应翘曲位移函数箱形结构的自振频率,然后借助自振频率的大小对所设置翘曲位移函数的精确度做出评判。静力分析算例结果证明了翘曲位移函数精度选择的必要性,该文将解析解与数值解结果进行了比较,证明了方法的有效性。Based on the basic principle of longitudinal warping displacement function setting, this proposed approach selects a series of warping displacement functions that meet basic warping mode of the box girder. Then, in consideration of the effect of shear lag, shear deformation and rotational inertia, the energy variation principle is applied to establish the governing differential equations and corresponding natural boundary conditions, and thus the natural frequency equation is obtained for the box girder. Next, using the equations, the natural frequency is determined under the given warping displacement functions. Finally, according to the magnitude of the natural frequency, the precision of warping displacement function setting can be judged. In the static calculation examples, this study concludes the necessity of precision selection of warping displacement function. Meanwhile, the comparison is made for the finite shell element and the finite strip solutions with the analytical solutions to indicate the efficiency of the approach.

关 键 词：桥梁工程 剪力滞后效应 能量变分原理 薄壁箱梁 翘曲位移函数 固有频率 

分 类 号：U448.213[建筑科学—桥梁与隧道工程]