乔世范, 顿志林, 刘宝琛. 水平荷载下横观各向同性弹性地基中位移计算[J]. 力学与实践, 2003, 25(5). DOI: 10.6052/1000-0992-2002-200
引用本文: 乔世范, 顿志林, 刘宝琛. 水平荷载下横观各向同性弹性地基中位移计算[J]. 力学与实践, 2003, 25(5). DOI: 10.6052/1000-0992-2002-200
DISPLACEMENT CALCULATION IN A TRANSVERSELY ISOTROPIC FOUNDATION UNDER HORIZONTAL LOADS[J]. MECHANICS IN ENGINEERING, 2003, 25(5). DOI: 10.6052/1000-0992-2002-200
Citation: DISPLACEMENT CALCULATION IN A TRANSVERSELY ISOTROPIC FOUNDATION UNDER HORIZONTAL LOADS[J]. MECHANICS IN ENGINEERING, 2003, 25(5). DOI: 10.6052/1000-0992-2002-200

水平荷载下横观各向同性弹性地基中位移计算

DISPLACEMENT CALCULATION IN A TRANSVERSELY ISOTROPIC FOUNDATION UNDER HORIZONTAL LOADS

  • 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.

     

    Abstract: Based upon the general equations of a transverselyisotropic foundation, the stress functions and the theory of Fouriertransforms, the basic displacement solutions for a transversely isotropicbody under horizontal concentrated loads are obtained. By integration, the displacements caused by horizontal uniform, trianglar ortrapezoid distributed loads acting on the strip area of a transverselyisotropic foundation are obtained. With measuredelastic constants, graphs of relativehorizontal displacements of a transversely isotropic foundation arecompared with those of an isotropic foundation. Some valuableconclusions are drawn.

     

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