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为探讨动力荷载作用下桩身的压屈稳定性,以m法考虑桩周土的横向抗力,利用能量法和Hamilton原理,基于桩顶自由、桩端嵌固边界条件下的高承台单桩基础动力稳定分析模型,建立了竖向简谐荷载下桩身动力稳定的Mathieu方程。采用三角级数求解,获得了基桩的动力不稳定区域。由此进行的参数对比分析表明,随桩土体系中桩身长径比的增加、埋置率的减小、自由长度的增加及桩周土质越趋软弱,桩身动力不稳定区域将增大,而固定荷载P0的影响则较小,这一影响规律与工程实际吻合较好。
In order to investigate the buckling stability of pile body under dynamic loads, considering the lateral resistance of the soil around the pile with m method, the dynamic behavior of pile foundation under free-standing and pile-end boundary conditions is studied by energy method and Hamilton principle. The stability analysis model is established and the Mathieu equation of pile dynamic stability under vertical harmonic load is established. Triangular series solution was used to obtain the instability region of foundation piles. The comparative analysis of the parameters shows that with the increase of the length-diameter ratio of pile body in pile-soil system, the decrease of embedding rate, the increase of free length and the weakening of the soil quality around the pile, the dynamic instability of pile body will increase, While the influence of fixed load P0 is smaller, the influence law is in good agreement with engineering practice.