竖向简谐荷载下高承台桩基的动力稳定性分析

For the discussion of the buckling stability of pile under dynamic loads, m method is used to consider lateral resistance of the soil around pile, Energy method and the Harmilton principle are used to establish the mathieu equation of the pile dynamic stability under harmonic vertical loads, which is based on the dynamic stability analysis model for high-rise pile foundation under the boundary conditions of free and fixed end, the trigonometric series is used to solve equation, the dynamic unstable regions of pile are obtained, and for the comparative analysis of parameters indicated that, with the slenderness ratio of pile increases, the embedded rate decreases, the free length increases and the increasingly weak soil around pile in the pile-soil system, the dynamic unstable regions of pile will increase, and the impact of fixed load P0 is smaller, this influence rules are in good agreement with the actual project.