The aim of this paper is to analyze the buckling stability problem for piles in the slope foundation based on cusp catastrophe theory. Formulation of critical buckling load of piles in the slope foundation is obtained. The influential factors of slope angle, distribution of landslide thrust behind the pile, pile-embedded ratio, pile constraints, pile-side friction, pile-side soil resistance, and pile socketed ratio upon buckling stability characteristic for piles in the slope foundation are examined. The results reveal that when pile diameter remains unchanged, critical buckling load increases with the increase of pile length when pile-embedded ratio reaches 60%. When pile length remains unchanged, critical buckling load increases with the increase of pile diameter. Critical buckling load with the assumption of nonlinear horizontal elastic resistance of pile-side soil in the paper is more close to the value based on horizontal elastic resistance of pile-side soil suggested in the code. When slope angle increases, decreased extent of buckling critical load for piles 30–60 m in length is more obvious than the piles which are 10–30 m in length. Strengthening of pile constraints and increase of pile-embedded ratio and socketed ratio are helpful to pile critical buckling load increase. The influential factors of pile-side friction and landslide thrust behind the pile upon pile critical buckling load are tiny and can be neglected.

中文翻译：

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基于尖点突变理论的边坡地基桩屈曲稳定性分析

本文旨在基于尖点突变理论分析边坡地基中桩的屈曲稳定性问题。得到了边坡地基中桩的临界屈曲荷载公式。考察了坡角、桩后滑坡推力分布、桩嵌比、桩约束、桩侧摩擦力、桩侧土阻力、桩承插比等因素对坡基桩屈曲稳定性的影响. 结果表明，在桩径不变的情况下，当埋桩率达到60%时，临界屈曲荷载随着桩长的增加而增加。在桩长不变的情况下，临界屈曲载荷随桩径的增加而增加。论文中假设桩侧土的非线性水平弹性阻力的临界屈曲荷载更接近规范中建议的基于桩侧土水平弹性阻力的值。当坡角增大时，30～60 m桩的屈曲临界荷载下降幅度比10～30 m的桩更明显。加强桩身约束，增加埋桩比和承插比，有利于桩临界屈曲荷载的增加。桩侧摩擦力和桩后滑坡推力对桩临界屈曲荷载的影响很小，可以忽略不计。30~60 m桩的屈曲临界载荷下降程度比10~30 m桩更明显。加强桩身约束，提高桩身埋入比和承插比，有利于桩体临界屈曲荷载的增加。桩侧摩擦力和桩后滑坡推力对桩临界屈曲荷载的影响很小，可以忽略不计。30~60 m桩的屈曲临界载荷下降程度比10~30 m桩更明显。加强桩身约束，增加埋桩比和承插比，有利于桩临界屈曲荷载的增加。桩侧摩擦力和桩后滑坡推力对桩临界屈曲荷载的影响很小，可以忽略不计。