成层地基土中水平受荷桩桩身响应的矩阵传递解

发布时间：2018-06-09 17:18

本文选题：水平受荷桩 + 成层地基　；参考：《岩土工程学报》2015年S2期

【摘要】：目前关于成层地基土体中水平受荷桩内力与变形的研究相对较少。将成层地基土体假设为均质弹性介质,将桩视为竖向放置的弹性地基梁,同时将桩-土之间的相互作用关系假设为一般形式的三参数地基反力模型,建立桩身响应的微分方程,并采用Laplace变换解得任意土层深度处桩身响应的矩阵传递系数进而得到成层地基土中水平荷载作用下桩身位移、转角、弯矩和剪力的矩阵传递解。相比传统的有限差分法与幂级数法,矩阵传递法求解成层地基土中的水平受荷桩时更加便捷。通过算例对比,验证了矩阵传递法解的正确性。最后进行了桩身响应的参数影响分析,结果表明:桩顶边界条件对桩身变形与内力沿桩身的分布规律影响显著;同时,地基反力模型中的参数0z和n对桩身最大水平位移、最大弯矩的影响较为明显。
[Abstract]:At present, there are few researches on the internal force and deformation of horizontal pile in layered soil. The layered soil is assumed to be a homogeneous elastic medium, and the pile is regarded as an elastic foundation beam placed vertically. At the same time, the pile-soil interaction is assumed to be a general three-parameter foundation reaction model, and the differential equation of pile response is established. The matrix transfer coefficient of pile response at any soil depth is obtained by Laplace transform, and the matrix transfer solutions of pile displacement, rotation angle, bending moment and shear force under horizontal load in layered soil are obtained. Compared with the traditional finite difference method and power series method, the matrix transfer method is more convenient to solve the horizontal pile in layered soil. The correctness of the matrix transfer method is verified by an example. The results show that the boundary conditions of pile top have a significant effect on the distribution of deformation and internal force along the pile body, and the maximum horizontal displacement of pile body is affected by the parameters 0z and n in the foundation reaction model. The effect of maximum bending moment is obvious.
【作者单位】：东南大学土木工程学院;东南大学混凝土及预应力混凝土结构教育部重点实验室;
【基金】：国家重点基础研究发展计划(“973”计划)项目(2013CB036304) 国家自然科学基金项目(51478109) 交通运输重大专项(2011318494160)
【分类号】：TU473.1

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