曲线矩形箱梁静力分析的双翘曲位移函数法  

A two-parameter warping displacement function approach for static analysis of curved rectangle thin-wall box girders

作　　者：甘亚南[1] 周广春[2] 

机构地区：[1]宿迁学院,江苏宿适223800 [2]哈尔滨工业大学,黑龙江哈尔滨150090

出　　处：《土木工程学报》2010年第4期63-69,共7页China Civil Engineering Journal

基　　金：国家自然科学基金(50578054)

摘　　要：以薄壁曲杆理论为基础,本文提出了一种对大悬臂板曲线箱梁力学特性分析的解析法。为了准确反映曲线矩形箱梁翼板和悬臂板(b1≠b2)的剪滞变化幅度,分别对上下翼板和悬臂板设置了一个不同的剪滞纵向位移差函数(U1(z),U2(z))。以最小势能原理为基础,考虑了弯曲和翘曲扭转(包括二次翘曲剪切)的因素,引入了剪力滞后效应和剪切变形的影响,建立了薄壁曲线箱梁的弹性控制微分方程和自然边界条件,获得了弯、扭、翘和剪力滞效应相耦合的广义位移的闭合解,讨论了跨宽比、荷载类型和曲梁半径R等因素对曲线箱梁翼板应力和剪滞效应的影响,揭示了各参数之间的内在关系。算例中,本文解析解与板壳有限元结果吻合较好,证明了本文方法的有效性,所得公式是对曲梁剪滞理论的发展。Based on the theory of thin-wall curved bars, an approach is proposed for analyzing the mechanical characteristics of curved box girders with large cantilever slabs. Taking into account of the effect of flexure, warping torsion （including secondary warping shear effect） , shear deformation and shear lag effects, two different longitudinal displacement difference functions are employed to accurately reflect the amplitude of change of shear lag in the thin-wall curved box girders with wing slabs of various widths. The minimum potential principle is applied to establish the governing differential equations and the corresponding natural boundary conditions, and closed-form solutions of generalized displacements are obtained. Variations of stress and shear lag effects of curved box girders, caused by variations of such factors as span-width ratio and type of loading and curvature radius, are discussed. The finite shell element solutions are compared to verify the analytical solutions.

关 键 词：桥梁工程 剪力滞后 翘曲扭转 最小势能原理 薄壁曲线箱梁 

分 类 号：U448.22[建筑科学—桥梁与隧道工程]