基于分区域连续翘曲位移函数的薄壁箱型截面梁剪力滞后效应研究  

Research of thin-walled box beam's shear lag effect based on the area continuous warping displacement function

作　　者：尚军[1] 李自林[1] 张聪[1] 

机构地区：[1]天津城建大学土木工程学院天津市软土特性与工程环境重点实验室,天津300384

出　　处：《河北工业大学学报》2015年第2期110-114,共5页Journal of Hebei University of Technology

基　　金：天津市自然科学基金(13JCYBJC19600);天津市市政公路行业科技项目(2014-23)

摘　　要：为进一步明确薄壁箱型截面的应力状态,根据截面不同薄板约束特性建立分区域连续的翘曲位移微分方程,开展箱型截面剪力滞后效应的研究.以能量法为基础,建立截面的应变能与外力势能的微分方程.根据最小势能原理=0,提出考虑分区域连续翘曲位移函数的剪力滞后效应后,箱型截面位移函数的通用微分方程.结合集中荷载作用下简支箱梁的内力特性,提出考虑剪力滞后效应后的位移及剪力滞系数的精确解,为上述通用微分方程的应用提供参考.研究成果提供了剪力滞后效应影响下箱梁的位移精确值,为箱型截面的设计与应用提供了重要的理论依据.In order to further clear the stress state of thin-walled box section, we have studied the shear lag effect of box section, which was based on the area continuous warping displacement function in accordance with sheet restrained state. Many differential equations about the strain energy of section and the potential energy of external load were set up, and the common differential equations about the box section displacement function was set up, which was based on the area continuous warping displacement fimction. The beam accurate solutions of displacement and shear lag coefficient under the action of concentrated load have been proposed. All of the results have provided important theoretical basis for the design and application of box section.

关 键 词：箱型截面 翘曲位移函数 剪力滞 能量变分法 

分 类 号：TU398[建筑科学—结构工程]