考虑水平摩阻力的弹性地基梁非线性分析  

Nonlinear analysis of beams on elastic foundation with consideration of horizontal resistance

作　　者：赵明华[1] 张玲[1] 马缤辉[1] 赵衡[1] 

机构地区：[1]湖南大学岩土工程研究所,湖南长沙410082

出　　处：《岩土工程学报》2009年第7期985-990,共6页Chinese Journal of Geotechnical Engineering

基　　金：国家863计划资助项目(2006AA11Z104)

摘　　要：基于传统文克尔弹性地基梁理论,考虑梁土间的摩阻效应、梁的纵横向变形耦合及变形的几何非线性,建立出相应的弹性地基梁挠曲变形控制微分方程。引入Galerkin法,导出了对称荷载作用下有限长梁的挠曲变形、转角、剪力及弯矩的非线性解析解。在此基础上,分析探讨了外加荷载、地基梁刚度、梁与土体之间的水平摩阻力、竖向地基反力系数等因素对地基梁位移及内力的影响。分析结果表明:水平摩阻力并不影响地基梁位移及内力的整体变化发展趋势,但将导致地基梁位移及内力值的降低,且水平摩阻力越大,其对地基梁位移及内力的影响也就越大,此外,当地基梁抗弯刚度越大,水平摩阻力对梁位移及内力的影响反而越小。Considering the interface resistance between beam and foundation soil, the longitudinal and transversal coupling-deformation and the nonlinear characteristics of the deformation of the beam, a deformation control differential equation is established based on the Winkler elastic foundation model. The corresponding analytical solutions for the deformation, rotation angle, shear force and moment of the finite-length under symmetric loads are presented using the Galerkin method. In addition, the influences of the load, flexural rigidity, interface resistance and vertical coefficient of subgrade on the behaviors of foundation beams are investigated. The analytic results illustrate that the horizontal resistance has no effect on the change tends of the internal force and deformation of the foundation beams, but has a great effect on the values of them. The larger the horizontal resistance is, the greater the effect of resistance acting on the foundation beam is. Moreover, when the flexural rigidity of the foundation beams is larger, the effects of the horizontal resistance on the behaviors of the foundation beams are smaller.

关 键 词：弹性地基梁 水平摩阻力 变形耦合 非线性分析 GALERKIN法 

分 类 号：TU473.1[建筑科学—结构工程]