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借助于土体的一维波动模型求解了SH简谐地震波作用下土层的水平振动,从三维轴对模型出发考虑桩周土的水平波动效应,通过引入势函数并运用分离变量法在考虑桩–土相互作用的情况下求解了SH简谐地震波作用下由于桩土相互作用引起的土层的径向位移、水平位移以及土体对桩基的水平作用力,并在此基础上建立了SH简谐地震波作用下桩基的水平振动方程,借助于三角函数的正交性和桩–土接触面处的连续条件求得了桩基的水平位移。借助于放大因子的概念研究了SH简谐地震波对桩顶水平位移的影响。研究表明:SH简谐地震波作用下桩基的动力响应存在有共振现象;放大因子随频率的变化曲线存在3个峰值,前两个峰值相对较大;当桩土模量比较大时桩土模量比对放大因子几乎没有影响。
Based on the one-dimensional wave model of soil, the horizontal vibration of soil under SH harmonic seismic wave was solved. From the three-axis model, the horizontal fluctuation of soil around the pile was considered. By introducing the potential function and applying the method of discrete variables, Under the condition of soil interaction, the radial displacement and horizontal displacement of soil due to the interaction of pile-soil interaction under SH harmonic seismic wave are solved. Based on this, the SH The horizontal vibration equation of pile foundation under the action of harmonic seismic waves is obtained by means of the orthogonality of trigonometric function and the continuous condition at the pile-soil contact surface. With the help of the concept of amplification factor, the effect of SH harmonic seismic wave on pile top horizontal displacement is studied. The results show that there is resonance phenomenon in the dynamic response of pile foundations under the action of SH harmonic seismic waves. There are three peaks in amplifying factor with frequency curve, the first two peaks are relatively large. When the pile-soil modulus is relatively large, The amount has no effect on the magnification factor.