力学与实践 ›› 2003, Vol. 25 ›› Issue (5): 0-0.DOI: 10.6052/1000-0992-2002-200

• 应用研究 •    

水平荷载下横观各向同性弹性地基中位移计算

乔世范 顿志林 刘宝琛   

  1. 中南大学土木建筑学院 焦作工学院土建系 中南大学土建学院 长沙 410075
  • 收稿日期:2002-05-26 修回日期:2002-09-17 出版日期:2003-10-10 发布日期:2003-10-10

DISPLACEMENT CALCULATION IN A TRANSVERSELY ISOTROPIC FOUNDATION UNDER HORIZONTAL LOADS

  • Received:2002-05-26 Revised:2002-09-17 Online:2003-10-10 Published:2003-10-10

摘要: 根据横观各向同性体的基本方程,运用应力函数、傅氏变换和傅氏逆变换理论, 得出了横观各向同性地基在水平集中荷载作用下的基本位移解,然后利用积分的方法分别得 出了横观各向同性地基在条形面积上水平均布荷载、水平三角形分布荷载及水平梯形 分布荷载的位移计算公式,并利用实测的一组弹性参数,将横观各向同性地基中的相对位移 与现有的计算理论给出的各向同性地基中的相对位移通过图形作了分析比较,得出了一些有 益的结论,以供岩土工程设计人员参考.

关键词: 横观各向同性地基, 本构方程, 位移解, 傅氏

Abstract: Based upon the general equations of a transversely isotropic foundation, the stress functions and the theory of Fourier transforms, the basic displacement solutions for a transversely isotropic body under horizontal concentrated loads are obtained. By integration, the displacements caused by horizontal uniform, trianglar or trapezoid distributed loads acting on the strip area of a transversely isotropic foundation are obtained. With measured elastic constants, graphs of relative horizontal displacements of a transversely isotropic foundation are compared with those of an isotropic foundation. Some valuable conclusions are drawn.

Key words: transversely isotropic foundation, constitutive