考虑水平摩阻力的Winkler地基有限长梁非线性受力分析  

Nonlinear analysis of finite-length beams on Winkler foundation with 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,湖南长沙410082

出　　处：《土木工程学报》2009年第7期106-112,共7页China Civil Engineering Journal

基　　金：国家863计划(2006AA11Z104)

摘　　要：基于传统的Winkler弹性地基模型,考虑梁与地基土体界面之间的水平摩阻力影响以及地基梁水平向与竖向的变形耦合及变形的几何非线性特性,建立相应的地基梁变形耦合控制微分方程。在此基础上,采用Galerkin法导出对称荷载作用下有限长梁内力及位移的非线性解析解。将该方法与传统弹性地基梁法及有限元法进行比较,计算结果基本一致。此外,采用该解析解法进一步分析探讨梁土界面间的水平摩阻力对地基梁竖向挠曲变形、剪力及弯矩的影响。分析结果表明,考虑水平摩阻力时梁的竖向挠曲变形、剪力、弯矩较不考虑时的有较大的变化;而且在其他条件不变的情况下,水平摩阻力越大,其对地基梁竖向挠曲变形、剪力、弯矩的影响也就越大。因此,在实际工程设计时梁土界面水平摩阻效应不容忽视,应予以考虑。Based on the Winkler elastic foundation model and considering the interface resistance between the beam and the foundation soil, a deformation-coupling governing differential equation was formulated. The corresponding nonlinear analytical solutions, using the Galerkin method, for the internal force and the deformation of the finite-length beam under symmetric loads were presented. The traditional design method for the Winkler elastic foundation and the existing results of finite element analyses were employed to verify the proposed method. The influence of the interface resistance on the behavior of the foundation beam was investigated, and the results illustrated that the larger the horizontal resistance is, the greater its effects on the vertical deformation, the shearing force and the bending moment of the foundation beam are, and thus the effect of the horizontal resistance on the behavior of the beam should be considered in design.

关 键 词：WINKLER地基模型 水平摩阻力 受力分析 非线性 

分 类 号：TU473.1[建筑科学—结构工程]