部分埋入弹性地基的变截面桩自由振动(英文) English Version
Free vibrations of tapered piles embedded partially in elastic foundations
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摘要: 阐述了部分埋入弹性地基的变截面桩的自振频率和振型的数值计算方法,并推导了桩顶作用轴向荷载的变截面桩的控制自由振动的微分方程,最后把此微分方程应用于 Runge - Kutta 法和 Regula - Falsi 法,采用特征值搜索法算出桩的自振频率和振型。
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关键词:
- 特征值搜索法 /
- 弹性地基 /
- 自由振动 /
- 振型 /
- 部分埋入桩 /
- Regula-Falsi法 /
- Runge-Kutta法 /
- 变截面桩
Abstract: The numerical methods for calculating the natural frequencies and the mode shapes of the tapered piles embedded partially in the elastic foundations are developed. The ordinary differential equation governing the free vibrations of such piles are derived, in which the effect of axial load is considered. The Runge-Kutta method and the determinant search method combined with the Regula-Falsi method are used for integrating the differential equation and determining the eigenvalues(natural frequencies), respectively.
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