基于变分原理的波形钢腹板箱梁挠度计算解析法  

ANALYTICAL METHOD FOR CALCULATING DEFECTION OF CORRUGATED BOX GIRDERS BASED ON VARIATIONAL PRINCIPLE

作　　者：姚浩[1] 程进[1,2] 

机构地区：[1]同济大学桥梁工程系,上海200092 [2]同济大学土木工程防灾国家重点实验室,上海200092

出　　处：《工程力学》2016年第8期177-184,共8页Engineering Mechanics

基　　金：国家自然科学基金项目(51178334);科技部国家重点实验室基金项目(SLDRCE14-B-08)

摘　　要：该文通过在纵向位移函数中引入翘曲变形函数以及剪切转角来分别考虑箱梁剪力滞效应和波形钢腹板剪切变形的影响,基于能量变分原理,提出一种波形钢腹板箱梁挠度计算的解析方法。并分别针对单箱单室和单箱双室波形钢腹板箱梁算例,将该文方法与仅考虑波形钢腹板剪切变形的挠度计算方法及有限元值进行比较分析。结果表明:该文方法具有较高的准确性;剪切变形影响系数随高跨比和宽跨比的增大明显增大,而剪力滞效应影响系数受高跨比的变化影响较小。A warping displacement function and a shear rotation are introduced in a longitudinal displacement function for considering the shear lag effect of a box girder and the shear deformation of corrugated webs. Based on a variational principle, an analytical method for calculating the deflection of corrugated box girders is proposed. For the cases of single-box single-cell and single-box double-cell girders, the results of the proposed method are compared with those of the methods which only considers the effect of shear deformation of corrugated webs and those of the finite element methods. The results show that the proposed method has high accuracy. The shear deformation coefficient significantly increases with the increase of depth-span ratio and width-span ratio while the shear lag effect coefficient is less affected by depth-span ratio.

关 键 词：波形钢腹板箱梁 解析法 剪力滞效应 剪切变形 变分原理 挠度 

分 类 号：U441[建筑科学—桥梁与隧道工程]