杨维好, 宋雷. 顶部自由、底部嵌固桩的稳定性分析[J]. 工程力学, 2000, 17(5): 63-66,3.
引用本文: 杨维好, 宋雷. 顶部自由、底部嵌固桩的稳定性分析[J]. 工程力学, 2000, 17(5): 63-66,3.
YANG Wei-hao, SONG Lei. AXIAL BUCKLING ANALYSIS FOR TOP-FREE AND BOTTOM-FIXED PILE[J]. Engineering Mechanics, 2000, 17(5): 63-66,3.
Citation: YANG Wei-hao, SONG Lei. AXIAL BUCKLING ANALYSIS FOR TOP-FREE AND BOTTOM-FIXED PILE[J]. Engineering Mechanics, 2000, 17(5): 63-66,3.

顶部自由、底部嵌固桩的稳定性分析

AXIAL BUCKLING ANALYSIS FOR TOP-FREE AND BOTTOM-FIXED PILE

  • 摘要: 用能量法对顶部自由、底部嵌固桩在顶部集中荷载和桩侧摩阻力作用下的竖向稳定性问题进行了研究。对于部分埋置于Winkler地基中的桩,首先建立了桩的受力模型,根据边界条件给出了桩的挠曲函数,导出了系统总势能的表达式;然后根据最小势能原理推导了求解失稳问题的计算公式,用数值方法求得了桩的临界长细比(λcr)的数值解,通过对数值解的分析,最后得到了简捷易用的λcr近似计算公式;最后给出了算例,计算表明:地基的抗力对λcr有重要影响,当地基的抗力较大时,桩侧摩阻力对λcr影响甚小。

     

    Abstract: Study on axial stability of top-free and bottom-fixed pile acted by lateral friction and vertical concentrated load at the top is carried out by use of the energy method. A model for the pile partly embedded in Winkler subsoil is set up, the deflection function of the pile is given according to its boundary conditions, and the expression of the total potential energy of the pile-soil system is established. A series of formulas for stability analysis are developed according to the principle of the minimum potential energy, and critical slenderness ratio of the pile (λcr) is obtained by numerical method. Based on the results, a simple approximate formula of is λcr proposed. A numerical example is provided in the paper. It is shown that the resistance of the subsoil has important influence on λcr, and the lateral friction on the pile has less influence on λcr when the resistance of the subsoil is large.

     

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