多因素分析薄壁曲线箱梁剪滞效应的方法  

A Multi-factor Method for Analyzing the Shear Lag Effect on Thin Walled Curved Box Girder

作　　者：吴幼明[1] 岳珠峰[2] 熊稚军[1] 

机构地区：[1]佛山科学技术学院数学系,佛山528000 [2]西北工业大学工程力学系,西安710072

出　　处：《机械科学与技术》2009年第10期1311-1315,共5页Mechanical Science and Technology for Aerospace Engineering

基　　金：国家自然科学基金项目(10472094)资助

摘　　要：以薄壁曲杆理论为基础,提出了一种考虑多因素分析薄壁曲线箱梁剪滞效应的方法。采用不同的计算公式去计算曲线箱梁的内侧和外侧在箱梁受力时的应变能,从而得到更准确的总势能公式。应用能量变分原理,导出了考虑初曲率的弯曲、扭转、剪力滞耦合和畸变的薄壁曲线箱梁的弹性控制微分方程和边界条件,获得相应的闭合解,从而得到各种变形的应力计算公式。所得公式适合于曲、直箱梁桥的剪滞效应计算。给出典型的计算实例,通过与有限元法计算结果比较以验证本文方法的正确性。On the basis of thin walled curved bars theory, a multi-factor method for analyzing the shear lag effect on thin walled curved box girder is presented. New calculating formulas are derived to calculate the strain energy on the inside and outside of the curved box girder under load, then the new formulas of total potential with high accuracy are obtained. The elastic governing differential equations and boundary conditions with consideration of initial curvature, bending, torsion, shear lag and distortion for thin walled curved box girders are derived using energy-vari- ational principle. The closed-form solutions of differential equations and the calculating formulas of stress are obtained. The theoretical formulas obtained are applied to calculating the shear lag effects for straight and curved box girder bridges. Comparisons of results for typical numerical examples are given to verify the accuracy and applicability of the present method.

关 键 词：曲线箱梁 剪滞效应 能量变分原理 初曲率 畸变 

分 类 号：TB12[理学—工程力学]