考虑剪切变形影响的连续曲线梁受力分析  

Mechanical analysis of continuous-span curved beams considering shear deformation effect

作　　者：谭威[1] 张景[1] 夏桂云[1] 

机构地区：[1]长沙理工大学土木与建筑学院,湖南长沙410114

出　　处：《交通科学与工程》2017年第2期23-30,共8页Journal of Transport Science and Engineering

基　　金：国家自然科学基金项目(51278072);湖南省科技计划项目(2012FJ4125);长沙理工大学土木工程重点创新项目(16ZDXK09)

摘　　要：为分析在考虑剪切变形影响下的连续曲线梁受力特性,基于Timoshenko梁理论,运用能量原理和结构力学原理的混合分析法,推导出两跨连续曲线梁在均布荷载作用下的变形计算公式。通过算例,将本研究的解析解和有限元解进行了对比分析,两者的计算结果吻合良好,同时分析了不同圆心角、曲率对曲线梁变形的影响。研究结果表明:当高跨比h∶L≥1∶20时,圆心角和曲率半径的变化对连续曲线梁的变形有较大的影响,不考虑剪切变形影响与考虑剪切变形影响的计算结果差距显著,初等梁理论低估了曲线梁的变形结果。Based on Timoshenko beam theory,the mix analysis method of energy principle and structural mechanics principle is applied to analyze the mechanical characteristics of continuous-span curved beams considering shear deformation effect.The deformation formula of continuous-span curved beams is deduced under uniform distribution load,and then the derived formula are verified by a simple example.Analytic solution is compared with finite element solutions by a calculation case,and the calculated results coincide well.What's more,the influences of different span and central angles on the deflection are analyzed.The results show that within a certain range,continuous curved beams change with central angle and radius of curvature under uniform distribution load,the deflection calculating results when the effect of shear deformation theory of Timoshenko beam is considered,and when the effect of shear deformation isn't considered,Bernoulli-Euler beam theory differs greatly.And the deflection of curved beam is underestimated by Bernoulli-Euler beam theory.

关 键 词：连续曲线梁 剪切变形 受力分析 圆心角 曲率半径 

分 类 号：U448.214[建筑科学—桥梁与隧道工程]