基于Timoshenko梁模型,考虑管桩桩身剪切变形的情况,建立了单个管桩的水平振动方程.为了考虑管桩与土体的动力相互作用,将桩周土和桩芯土对管桩的作用等效为Winkler弹簧-阻尼器,利用数学物理手段,并考虑管桩与土体的连续性条件,得到了弹性系数和阻尼系数.考虑管桩桩端边界条件和水平动力阻抗的定义,得到了考虑桩身剪切变形的管桩的水平动力阻抗.通过对比分析和数值讨论可知,采用Timoshenko梁模型得到的管桩水平动力阻抗的绝对值比Euler梁模型小;相对实心桩管桩更应考虑桩身的剪切变形.
Based on the Timoshenko beam model,the horizontal dynamic equations of a single pipe pile were established by considering the shear deformation of pipe pile.The forces caused by the pile around soil and the pile inner soil on the pipe pile were equivalent to Winkler spring-damper in order to consider the dynamic interaction between the pipe pile and soil,and the elastic coefficients and damping coefficients of Winkler springdamper were also obtained by using mathematical physical method and continuous conditions of pipe pile-soil.The horizontal dynamic impedance of a single pipe pile considering the shear deformation was got by using the boundary conditions at the pile end and the definition of horizontal dynamic impedance.The contrast analysis and numerical discussion showed that the absolute value of horizontal dynamic impedance of the pipe pile obtained by using Timoshenko beam model was relatively smaller than that of the Euler beam model,and the pipe pile should be more considered the shear deformation than the solid core pile.