剪切变形对基桩P-Δ效应的影响
发布时间：2019-06-05 13:15
【摘要】：给出了小剪切变形下的基桩P-Δ效应和大剪切变形下支座P-Δ效应计算的杆单元刚度矩阵方程。假定杆单元弯曲变形位移函数为三次幂函数,剪切变形函数为线性函数,根据有限元法一般原理,推导了一种同时计入竖向力径向剪切分力剪切变形和水平力剪切变形的P-Δ效应杆单元刚度方程,推导了一种仅计入竖向力径向剪切分力剪切变形而忽略水平力剪切变形的P-Δ效应杆单元刚度方程,推导了一种仅计入水平力剪切变形而忽略竖向力径向剪切分力剪切变形的P-Δ效应杆单元刚度方程。计入水平力剪切变形而忽略竖向力径向剪切分力剪切变形的P-Δ效应杆单元可良好的模拟支座在大剪切变形下的偏心工作特性,能实时计入其偏心弯矩影响,为实时计入支座偏心特性的结构动静力分析提供了理论支撑。最后通过自编MATLAB程序进行算例分析,结果表明,计入支座大剪切变下的P-Δ效应后,基桩内力位移和地基土压力均显著增大。基桩自身剪切变形对桩身内力位移和地基土压力影响较小,可以忽略。
[Abstract]:The stiffness matrix equations of the P螖 effect of the foundation pile under small shear deformation and the P螖 effect of the bearing under large shear deformation are given. It is assumed that the bending deformation displacement function of the rod element is a cubic power function and the shear deformation function is a linear function. According to the general principle of the finite element method, A P-螖 effect bar element stiffness equation considering both vertical force radial shear force shear deformation and horizontal force shear deformation is derived. The stiffness equation of P-螖 effect bar element is derived, which only takes into account the shear deformation of vertical force radial shear component force and ignores the shear deformation of horizontal force. In this paper, the stiffness equation of P-螖 effect bar element is derived, which only takes into account the shear deformation of horizontal force and ignores the shear deformation of radial shear force of vertical force. The P-螖 effect bar element, which takes into account the horizontal force shear deformation and neglects the vertical force radial shear force shear deformation, can well simulate the eccentric working characteristics of the bearing under large shear deformation, and can take into account the influence of eccentric bending moment in real time. It provides a theoretical support for the dynamic and static analysis of the structure which takes into account the eccentricity of the bearing in real time. Finally, an example is given by MATLAB program. The results show that the internal force and displacement of the foundation pile and the earth pressure of the foundation increase significantly after taking into account the P-螖 effect of the large shear deformation of the bearing. The shear deformation of the foundation pile has little effect on the internal force and displacement of the pile body and the earth pressure of the foundation, which can be ignored.
【作者单位】： 中南大学土木工程学院;中煤科工集团重庆设计研究院有限公司;
【分类号】：TU473.1
[Abstract]:The stiffness matrix equations of the P螖 effect of the foundation pile under small shear deformation and the P螖 effect of the bearing under large shear deformation are given. It is assumed that the bending deformation displacement function of the rod element is a cubic power function and the shear deformation function is a linear function. According to the general principle of the finite element method, A P-螖 effect bar element stiffness equation considering both vertical force radial shear force shear deformation and horizontal force shear deformation is derived. The stiffness equation of P-螖 effect bar element is derived, which only takes into account the shear deformation of vertical force radial shear component force and ignores the shear deformation of horizontal force. In this paper, the stiffness equation of P-螖 effect bar element is derived, which only takes into account the shear deformation of horizontal force and ignores the shear deformation of radial shear force of vertical force. The P-螖 effect bar element, which takes into account the horizontal force shear deformation and neglects the vertical force radial shear force shear deformation, can well simulate the eccentric working characteristics of the bearing under large shear deformation, and can take into account the influence of eccentric bending moment in real time. It provides a theoretical support for the dynamic and static analysis of the structure which takes into account the eccentricity of the bearing in real time. Finally, an example is given by MATLAB program. The results show that the internal force and displacement of the foundation pile and the earth pressure of the foundation increase significantly after taking into account the P-螖 effect of the large shear deformation of the bearing. The shear deformation of the foundation pile has little effect on the internal force and displacement of the pile body and the earth pressure of the foundation, which can be ignored.
【作者单位】： 中南大学土木工程学院;中煤科工集团重庆设计研究院有限公司;
【分类号】：TU473.1
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1 王荫长;;关于杆件结构剪切变形的分析[J];西安建筑科技大学学报(自然科学版);1982年04期
2 胡给泗;;剪切变形曲线特征点的确定[J];人民长江;1988年07期
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