集中弯矩作用下箱梁剪力滞效应的解析解  

Analytic Method for Shear Lag Effect of Box Girders Under Concentrated Bending Moments

作　　者：蔺鹏臻[1] 杨子江[2] 孙理想[1] 冀伟[2] 

机构地区：[1]兰州交通大学甘肃省道路桥梁与地下工程重点实验室,兰州730070 [2]兰州交通大学土木工程学院,兰州730070

出　　处：《应用数学和力学》2014年第7期750-758,共9页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(51208242;51368031);甘肃省杰出青年基金(1210RJDA009);中国博士后科学基金(2012M521815);教育部"长江学者和创新团队发展计划"(IRT1139)~~

摘　　要：以承受集中弯矩的简支梁结构为对象,基于能量变分法,获得了剪力滞效应计算的解析解通式.分别对仅跨内承受集中弯矩和单侧梁端承受集中弯矩简支梁,以及两侧梁端承受相反弯矩的纯弯梁,提出了剪力滞效应计算的理论公式,揭示了该类型结构的剪力滞规律.通过简支箱梁算例,研究了3种集中弯矩工况下的剪力滞效应,并和有限元板壳数值解进行对比分析.研究表明,该解析方法可以有效计算简支梁承受集中弯矩时的剪力滞效应.简支梁在集中弯矩作用部位存在较为突出的剪力滞效应.For simply supported box girders under concentrated bending moments, general an- alytic solutions to shear lag effect were presented based on the energy variational principle. For- mulae for shear lag effect were given for several typical cases of one bending moment acting on the girder span interior, one end, or both ends. For an example box girder, shear lag effect was calculated respectively in the 3 cases of concentrated bending moment applied. The analytic results were compared with those of the finite shell element method. It＇ s shown that the pres- ented analytic method has high accuracy in the calculation of box girder shear lag effect in com- parison with the finite element method. Where there exists a concentrated bending moment ap- plied on a simply supported box girder, there occurs sharp shear lag effect.

关 键 词：箱梁 剪力滞 集中弯矩 解析法 

分 类 号：U441.5[建筑科学—桥梁与隧道工程]