平面薄壁回旋曲线梁变形分析  

Deformation Analysis of Plane Thin-walled Clothoid Curved Girders

作　　者：王通[1] 李鸿晶[1] 

机构地区：[1]南京工业大学土木工程学院,南京210009

出　　处：《力学季刊》2008年第2期224-228,共5页Chinese Quarterly of Mechanics

基　　金：江苏省自然科学基金(BK2005115)

摘　　要：薄壁缓和曲线梁在桥梁工程中存在广泛应用,其力学特性复杂,变形分析困难。基于Vlasov薄壁梁理论,假定曲梁截面形心和剪心重合,并忽略剪切变形的影响,建立了回旋线型等截面薄壁缓和曲线梁的变形微分方程,并与已有模型进行对比分析。该模型平面内变形与平面外变形是不耦联的,可以独立求解。采用微分求积法求解该模型,给出一两端固定的回旋曲线梁在自重作用下的变形算例,进行平面外的变形和内力反应分析,并给出了相应的结论。Deformation analysis of thin-walled transition curved girder widely used in bridge construction was difficult to be implemented because of their complex mechanical characteristics. Based on Vlasov＇s theory of thin walled beams, the deformation differential equations were established for uniformly thinwalled transition curved girders with the shape of clothoid, considering coincidence of gravity center and torsion center and neglecting the effect of shear deflection, and then the comparison with existing models was made. Out-of-plane and in-plane deformation of present model were solved individually because of their uncoupling. The differential quadrature method was adopted to solve this model. A computational example of a clothoid curved girder with two clamped ends under deadweight was presented, with analysis of the out-of-plane deformation and inner forces implemented, and corresponding conclusions was presented.

关 键 词：回旋曲线梁 变形分析 缓和曲线 微分方程 微分求积法 

分 类 号：U448.42[建筑科学—桥梁与隧道工程]