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横观各向同性地基Cerruti问题的解析解
ANALYTICAL SOLUTION OF CERRUTI’S PROBLEM FOR TRANSVERSELY ISOTROPIC FOUNDATION
【Author】 LI Jie, DUN Zhi-lin, ZHANG Xue-min, GAO Xue-bing (School of Civil Engineering, Henan Polytechnic University, Jiaozuo, Henan 454000, China; School of Civil Engineering and Arch technology, Central South University, Changsha, Hunan 410075, China)
【机构】 河南理工大学土木工程学院; 中南大学土木建筑学院;
【摘要】 根据横观各向同性弹性体空间问题的基本方程,利用Hankel变换和Bessel函数理论,基于位移法导出的横观各向同性地基空间问题的一般解,得到了横观各向同性地基空间Cerruti问题的解。该解答经过退化与各向同性Cerruti问题的经典解相吻合。通过算例对两种不同地基内部位移和应力分布进行了对比分析。
【Abstract】 Base on the general three-dimensional analytical solution for transversely isotropic half-space foundation in the image domain derived strictly according to the general equations, Hankel integration transform and Bessel function theory by the displacement function method, the solutions of three dimensional Cerruti’s problem are put forward under conditions that the characteristic roots are not equal. The obtained analytical solutions of displacements and stresses in this paper are degenerated into the classical isotropic Cerruti’s problem by correlative coefficient transformation. Distribution of displacement and stress in the transversely isotropic foundation are compared with those in an isotropic foundation.
【Key words】 soil mechanics; transversely isotropic foundation; space problem; cerruti’s problem;
- 【会议录名称】 第15届全国结构工程学术会议论文集(第Ⅱ册)
- 【会议名称】第15届全国结构工程学术会议
- 【会议时间】2006-10
- 【会议地点】中国河南焦作
- 【分类号】TU470
- 【主办单位】中国力学学会工程力学编辑部