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周航, 汪义圣, 李运舟. 粘弹性土中横截面异形桩竖向动力响应理论分析[J]. 岩土工程学报. DOI: 10.11779/CJGE20240296
引用本文: 周航, 汪义圣, 李运舟. 粘弹性土中横截面异形桩竖向动力响应理论分析[J]. 岩土工程学报. DOI: 10.11779/CJGE20240296
Theoretical Analysis of Dynamic Response of Irregular-Shaped Piles under Vertical Dynamic Loading[J]. Chinese Journal of Geotechnical Engineering. DOI: 10.11779/CJGE20240296
Citation: Theoretical Analysis of Dynamic Response of Irregular-Shaped Piles under Vertical Dynamic Loading[J]. Chinese Journal of Geotechnical Engineering. DOI: 10.11779/CJGE20240296

粘弹性土中横截面异形桩竖向动力响应理论分析

Theoretical Analysis of Dynamic Response of Irregular-Shaped Piles under Vertical Dynamic Loading

  • 摘要: 目前横截面异形桩的动力响应研究较少,竖向动力受荷桩的研究对象主要为圆桩。针对目前的研究情况,基于Hamilton’s原理和变分运算在直角坐标系下推导出异形桩-粘弹性土模型的控制方程和边界条件。采用COMSOL建立异形桩-土二维模型,求解土体的控制方程,采用该方法求解土体控制方程,克服了复杂边界条件控制方程求解困难的问题。桩的控制方程可以采用MATLAB中的边值计算方法进行求解,而桩-土耦合控制方程用MATALB进行迭代计算,建立了一套能够分析竖向动荷载下异形桩动力响应的理论模型。将该理论模型的计算结果与现有圆桩计算结果进行对比验证,验证了该方法的可靠性。最后,讨论了异形桩的横截面参数、桩和土体的弹性模量比值、桩的长细比等对桩顶动力阻抗的影响。结果表明:随着外部动力荷载的频率增大,异形桩的形状对桩顶阻抗的影响也逐渐增大,其中H形桩的异形效应相较于X形桩和矩形桩更为明显。

     

    Abstract: Currently, there is limited research on the dynamic response of cross-sectional irregular piles, with the focus of vertical dynamic load studies primarily on circular piles. In light of this research gap, the governing equations and boundary conditions for the irregular pile-viscoelastic soil model were derived based on Hamilton's principle and variational calculus in a Cartesian coordinate system. A two-dimensional model of the irregular pile-soil system was established using COMSOL to solve the governing equations for the soil, overcoming the challenge of solving complex boundary condition control equations. The pile's governing equations were solved using MATLAB, and the coupled pile-soil control equations were iteratively calculated using MATLAB. A theoretical model capable of analyzing the dynamic response of irregular piles under vertical dynamic loads was developed. The computational results of this theoretical model were compared and validated against existing calculations for circular piles, confirming the reliability of the proposed method. The paper concludes with a discussion on the impact of pile cross-sectional parameters, the ratio of elastic moduli between the pile and the soil, and the slenderness ratio of the pile on the dynamic impedance at the pile head. The results indicate that:The impact of the cross-sectional shape effect on the pile-head impedance amplifies with the rise in frequency. Particularly, the distinctive shape effect is more pronounced in H-shaped piles compared to X-shaped and rectangular piles as the frequency escalates.

     

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