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李炀, 吴曙光, 张四平, 高倩德, 黄磊. 水平受荷桩桩身响应的线性方程解及应用分析[J]. 岩土工程学报, 2020, 42(S1): 70-74. DOI: 10.11779/CJGE2020S1014
引用本文: 李炀, 吴曙光, 张四平, 高倩德, 黄磊. 水平受荷桩桩身响应的线性方程解及应用分析[J]. 岩土工程学报, 2020, 42(S1): 70-74. DOI: 10.11779/CJGE2020S1014
LI Yang, WU Shu-guang, ZHANG Si-ping, GAO Qian-de, HUANG Lei. Linear equation solution of horizontally loaded piles and its application[J]. Chinese Journal of Geotechnical Engineering, 2020, 42(S1): 70-74. DOI: 10.11779/CJGE2020S1014
Citation: LI Yang, WU Shu-guang, ZHANG Si-ping, GAO Qian-de, HUANG Lei. Linear equation solution of horizontally loaded piles and its application[J]. Chinese Journal of Geotechnical Engineering, 2020, 42(S1): 70-74. DOI: 10.11779/CJGE2020S1014

水平受荷桩桩身响应的线性方程解及应用分析

Linear equation solution of horizontally loaded piles and its application

  • 摘要: 根据Winkler地基梁理论,将地基系数沿着深度方向的任意函数以积分中值定理为原则进行微段常数化,引入四阶微分方程的张氏解析解,通过结点内力与位移连续的条件对全桩全结点构建线性方程组,避免矩阵多次传递即可一次性解得所有结点的内力与位移,相比幂级数法与有限元法更加简单,将此过程用matlab编制程序进行实现,通过两个算例验证了线性方程解法在单层地基与多层地基情况下水平受荷桩桩身响应计算的正确性。最后分别在算例基础上更改多组参数,表明在桩顶水平荷载的作用下,桩身弯矩最大值、弯矩零点值与位移零点值出现的位置分别受桩顶附近土层抗力、桩中部土层的抗力与整个桩周土层抗力大小控制,且对于同一种情况下的桩身水平响应而言,其弯矩零点所出现的位置将比位移零点所出现的位置滞后(2~3)d。

     

    Abstract: According to the Winkler foundation beam theory, the foundation function is constantized by the integral median theorem, and a linear equation system is constructed for the entire pile and all nodes through the condition that the internal forces and displacements of the nodes are continuous. This process is implemented by matlab programming, and two examples are used to verify the correctness of the calculation of the response of the horizontally loaded pile body in the case of single-layer foundation and multi-layer foundation. In the calculation example, multiple sets of parameters are changed, which shows that the location of the maximum value of the bending moment of the pile body, the zero point value of the bending moment and the zero point value of displacement are affected by the resistance of the soil layer near the pile top and the soil layer in the middle of the pile under the horizontal load of the pile top. The resistance is controlled by the resistance of the entire soil layer around the pile, and for the horizontal response of the pile body under the same situation, the position where the bending moment zero appears will lag behind the position where the displacement zero appears by about (2~3)d.

     

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