宽翼薄壁工字形曲梁剪滞效应的能量变分法  

ENERGY-VARIATIONAL METHOD FOR THE ANALYSIS OF SHEAR LAG EFFECT OF THIN-WALLED CURVED I-BEAMS WITH WIDE FLANGE

作　　者：甘亚南[1] 赫中营[2] 戎涛[2] 周广春[3] 

机构地区：[1]盐城工学院土木工程学院,江苏盐城224051 [2]河南理工大学土木工程学院,河南焦作454010 [3]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》2010年第12期1-7,20,共8页Engineering Mechanics

基　　金：国家自然科学基金项目(50578054)

摘　　要：为了准确反映宽翼薄壁工字形曲梁上下翼板(b1≠b2)的剪滞变化幅度,分别对上下翼板设置了一个不同的剪滞纵向位移差函数(U 1(z),U 2(z))。该文以最小势能原理为基础,考虑弯曲和翘曲扭转的因素,引入剪力滞后和剪切变形效应的影响,建立了曲线工字形梁的控制微分方程和自然边界条件,获得了弯、扭、翘和剪滞效应相耦合的广义位移的闭合解,提出了一种对该类结构更加准确的力学分析方法。算例中,该文解析解与板壳有限元结果吻合较好,证明了该文方法的有效性。Two longitudinal displacement difference functions are employed to accurately describe the variation of shear lag in thin-walled curved I-beams with different widths of wing slabs（）.Thus,a new approach is proposed to analyze the mechanical characteristics of curved I-beams,considering the effect of flexure,warping torsion,shear deformation and shear lag effects.The minimum potential principle is applied to establish the governing differential equations and corresponding natural boundary conditions.And closed-form solutions of generalized displacements are obtained.A comparison was made among the finite shell element solutions,the traditional method solutions and analytical solutions proposed by this paper,and the validity of the proposed approach is verified.

关 键 词：桥梁工程 剪力滞后 翘曲扭转 最小势能原理 曲线工字形梁 

分 类 号：U448.22[建筑科学—桥梁与隧道工程]