SH简谐地震波作用下横观各向同性土中桩基动态响应研究

Study on dynamic response of pile foundation in transversely isotropic soil under the action of SH harmonic seismic wave

  • 摘要: 首先,利用一维波动理论,得到了SH简谐地震波垂直入射下横观各向同性土层的水平位移。其次,将横观各向同性土-桩的动力相互作用利用Winkler弹簧-阻尼器模型来描述,在轴对称坐标下通过求解横观各向同性土的水平振动得到了Winkler弹簧-阻尼器的刚度系数和阻尼系数。然后,在考虑SH简谐地震波产生的水平位移的影响下,求解了横观各向同性土中桩基的水平振动,得到了桩顶的放大因子。最后,通过数值算例分析了相关参量对SH简谐地震波作用下横观各向同性土中桩基动态响应的影响。研究结果表明:在SH简谐地震波作用下,横观各向同性土-桩系统为稳态响应,桩顶放大因子随无量纲频率变化曲线的第一个峰值对应的频率较为固定,第二个峰值大小和位置均受桩土参数的影响。横观各向同性土水平面与竖直面上的剪切模量比Ghv主要影响第二个峰值的大小,桩土模量比Ep/Gv、桩土密度比ρp/ρ和桩径长比r0/H对该峰值的影响较大。

     

    Abstract: First, using one-dimensional wave theory, the horizontal displacement of transversely anisotropic soil layers under vertical incidence of SH harmonic seismic waves was obtained. Next, the dynamic interaction between transversely isotropic soil and pile was described using the Winkler spring-damper model. The stiffness and damping coefficients of the Winkler spring-damper were obtained by solving the horizontal vibration of transversely isotropic soil in axisymmetric coordinates. Then, the horizontal vibration of pile in transversely isotropic soil was solved by considering the influence of horizontal displacement generated by SH harmonic seismic wave, and the amplification factor at the top of the pile foundation was obtained. Finally, the influence of relevant parameters on the dynamic response of pile in transversely isotropic soil under SH harmonic seismic wave was analyzed through numerical examples. The research results indicated that, under the action of SH harmonic seismic wave, the transversely isotropic soil-pile system exhibited a steady-state response. The first peak of the curves of amplification factor at the pile top varying with dimensionless frequency corresponded to a relatively fixed frequency, while the size and position of the second peak were influenced by the parameters of pile and soil. The shear modulus ratio Ghv on the horizontal and vertical planes of isotropic soil mainly affected the size of the second peak. The pile-soil modulus ratio Ep/Ghv, pile-soil density ratio ρp/ρ, and pile diameter-length ratio r0/H had a significant impact on this peak.

     

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