曲线梯形箱梁静力分析的多参数翘曲位移函数法  

An Approach to Multi-parameter Warping Displacement Function for Static Analysis of Curved Trapezoidal Thin-walled Box Girders

作　　者：甘亚南[1] 周广春[2] 赫中营[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]同济大学土木工程防灾国家重点实验室,上海200092

出　　处：《铁道学报》2011年第7期104-109,共6页Journal of the China Railway Society

基　　金：国家自然科学基金资助项目(50578054)

摘　　要：以薄壁曲杆理论为基础,提出一种对曲线梯形箱梁静力学特性准确分析的解析法。为准确反映箱梁不同宽度翼板的剪滞变化幅度,分别对梯形箱梁上下翼板和悬臂翼板设置3个不同剪滞纵向位移差函数。分析中综合考虑弯曲和翘曲扭转(包括二次翘曲剪切)因素,引入剪滞效应和剪切变形影响,建立曲线箱梁弹性控制微分方程和自然边界条件,获得弯、扭、翘和剪滞效应相耦合广义位移的闭合解。结合算例,分析不同荷载形式、不同跨度以及剪切变形和二次翘曲剪切效应等因素对曲线箱梁力学特性的影响,本文解析解与板壳有限元结果吻合较好,证明了本文方法有效性,所得公式发展了曲梁剪滞理论。On the basis of the thin walled curved bars theory,the method to accurately analyze the static characteristics of curved trapezoidal thin-walled box girders is proposed.Three different longitudinal displacement difference functions are employed to accurately reflect the amplitudes of changes of shear lag in the thin-walled box girders with different widths of wing slabs.Taking into account the effect of flexure warping torsion（including secondary warping shear effect）,shear deformation and shear lag effects,the minimum potential principle is applied to establish the governing differential equations and corresponding natural boundary conditions,thus obtaining the closed solutions of generalized displacements of coupled flexure,torsion,warping and shear lag effects.The analytical solutions of this paper agree with the finite shell element solutions and the validity of the proposed method is verified.The deduced formulas help to develop the existing bending-beam shear lag theory.

关 键 词：曲线梯形薄壁箱梁 剪力滞后 翘曲扭转 最小势能原理 

分 类 号：U448.22[建筑科学—桥梁与隧道工程]