考虑摩阻效应的弹性地基梁幂级数解  

Power-series Analytic Solutions for the Finite Beam on Elastic Foundation with Consideration of Interface Resistance

作　　者：赵明华[1] 张玲[1] 刘敦平[1] 

机构地区：[1]湖南大学土木工程学院,湖南长沙410082

出　　处：《铁道学报》2010年第6期72-77,共6页Journal of the China Railway Society

基　　金：国家863计划资助项目(2006AA11Z104)

摘　　要：基于Winkler地基模型,假定地基梁与地基土体间的摩阻力沿有限梁长呈线性分布,考虑弹性地基梁与地基土体之间的水平摩阻效应,建立集中荷载作用下地基梁挠曲变形及内力计算模型和相应的变形控制微分方程。采用幂级数法,分别给出计算弹性地基梁竖向挠曲变形、转角、弯矩、剪力的幂级数半解析解。将本文方法与传统弹性地基梁法进行比较以验证本文方法的可行性,并进一步分析梁土间摩阻效应对弹性地基梁位移及内力的影响。分析结果表明,梁土接触面上的摩阻力对地基梁的位移及内力有一定程度影响,且地基土越坚硬,梁土接触面越粗糙,该摩阻效应对梁位移及内力的影响也就越大。Analysis of a beam resting on an elastic foundation is frequently necessary for railway structure designs.In this paper,based on the Winkler foundation model,the deformation control differential equation for the elastic foundation beam is presented with consideration of the effect of the interface resistance between the beam and foundation soil body.Employing the power-series semi-analytic method,a particular solution is obtained for the beam sustaining a vertical point load.This solution can be used to calculate the vertical deformation,rotation,bending moment and shear force of the beam.The traditional method for the beam on the elastic foundation was employed to verify the validities of the power-series solutions proposed.A parametric study is carried out to investigate the effects of the interface resistance on the behavior of the beam.The analysis results indicate that the resistance between the interface of the beam and the soil below has an effect on the deformations and internal forces of the beam.Furthermore,the stiffer the foundation soil and the rougher the internal face,the greater the horizontal resistance effect on the deformation and internal force of the foundation beam.

关 键 词：弹性地基 有限长梁 摩阻效应 幂级数解答 

分 类 号：TU473.1[建筑科学—结构工程]