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地基沉降对弹性地基梁的影响
引用本文:夏桂云,李传习,曾庆元.地基沉降对弹性地基梁的影响[J].中南大学学报(自然科学版),2011,42(6).
作者姓名:夏桂云  李传习  曾庆元
作者单位:1. 长沙理工大学土木与建筑学院,湖南长沙,410076
2. 中南大学土木建筑学院,湖南长沙,410075
基金项目:中国博士后基金资助项目(20080441177);长沙理工大学桥隧重点学科创新基金资助项目
摘    要:考虑剪切变形的影响,采用Timoshenko梁理论和初参数法分析两端固结、两端简支的弹性地基梁由于地基沉降造成的影响,建立确定悬空长度的超越方程,导出变形和内力的解析解。通过算例分析悬空长度随荷载的变化,比较局部悬空Winkler地基梁在均布荷载作用下挠度、转角、剪力、弯矩的Bemoulli-Euler梁理论结果和Timoshenko梁理论结果,比较地基不同沉降下的变形与内力。研究结果表明:采用Bemoulli-Euler梁理论计算的悬空长度偏大,采用Bemoulli-Euler梁理论计算的局部悬空弹性地基梁的挠度、转角、剪力、弯矩比相应的Timoshenko梁的理论结果大,地基沉降分析中应考虑剪切变形的影响。

关 键 词:弹性地基梁  剪切变形  地基沉降  初参数

Influence of foundation settlement on elastic foundation beam
XIA Gui-yun,LI Chuan-xi,ZENG Qing-yuan.Influence of foundation settlement on elastic foundation beam[J].Journal of Central South University:Science and Technology,2011,42(6).
Authors:XIA Gui-yun  LI Chuan-xi  ZENG Qing-yuan
Institution:XIA Gui-yun1,LI Chuan-xi1,ZENG Qing-yuan2 (1.School of Civil Engineering and Architecture,Changsha University of Science and Technology,Changsha 410076,China,2.School of Civil Engineering and Architecture,Central South University,Changsha 410075,China)
Abstract:Considering the effect of shear deformation,Timoshenko beam theory and initial parameter method were used to analyze the settlement influences of elastic foundation beam with two fixed-edges and two simply-supported edges.The transcendent equation of hanging length was established.The solutions of deformations and internal forces were presented.The changing relationship between hanging length and load was studied by examples.Deflections,slopes,shear forces and moments of Bernoulli-Euler beam theory and Timo...
Keywords:elastic foundation beam  shear deformation  foundation settlement  initial parameter  
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