宽翼薄壁工字形梁剪滞效应分析的能量变分法  

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

作　　者：甘亚南[1] 周广春[1] 王根会[2] 吴亚平[2] 

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 [2]兰州交通大学土木工程学院,甘肃兰州730070

出　　处：《工程力学》2009年第2期42-47,共6页Engineering Mechanics

基　　金：国家自然科学基金项目(50578054)

摘　　要：设置了2个不同的剪滞纵向位移差函数(U1(x),U2(x))以准确反映工字形梁(b1≠b2)不同宽度翼板的剪滞变化幅度,提出了一种能对工程中常用的宽翼薄壁工字形梁力学特性进行分析的方法。该文以能量变分原理为基础,建立了工字形梁静、动力分析的控制微分方程和自然边界条件,获得了相应广义位移的闭和解。在算例中,该文解析解与板壳有限元结果吻合较好,证明了该方法的有效性。This paper proposes an approach to analyze the mechanical characteristics of the thin-walled I-beams with wide flange. Two different longitudinal displacement difference functions （U1 （x）, U2 （x）） are considered to account for the change of shear lag in the thin-walled I-beams with various widths of wing slabs （b1 ≠ b2）. The energy variation principle is applied to establish the governing differential equations and corresponding natural boundary conditions on the static and dynamic characteristics of thin-walled I-beam, and closed-form solutions of generalized displacements are obtained. The f＇mite shell element solutions are compared with the analytical solutions of this paper and the proposed approach is validated.

关 键 词：桥梁工程 剪滞效应 翘曲位移函数 能量变分原理 工字形梁 

分 类 号：U448.212[建筑科学—桥梁与隧道工程]