Abstract The complex dispersion relations and vibration mitigation properties of periodic in-filled pipe pile barrier in fluid-saturated poroelastic soil are investigated. The periodic structure theory is adopted and the viscosity of the in-filled materials is taken into account by using the Kelvin-Voigt model. The local resonance attenuation zones (LRAZs) covering the resonance frequency of the inner oscillator are obtained and then broadened by properly designing the viscosity of the in-filled materials. The influences of the typical geometry and material parameters of the pile barriers on the LRAZs are comprehensively studied. To validate the efficiency of LRAZs, the dynamic responses of a finite periodic pipe pile system are numerically simulated by conducting the time-history analysis. Taking the viscosity of the rubber into account, it is found that the attenuation parameter is suppressed in the LRAZs and enlarged outside of the LRAZs. In addition, the propagation of shear-waves can be effectively reduced in the LRAZs below 20 Hz when filling the pipe piles with soft materials. The findings of this study present a proper way to design periodic pipe pile barriers in saturated soil for ambient vibration attenuation, especially in the low-frequency range.

中文翻译：

---

周期性填充管桩屏障在饱和土中减振

摘要 研究了流体饱和多孔弹性土中周期性填充管桩屏障的复杂弥散关系和减振特性。采用周期结构理论，采用Kelvin-Voigt模型考虑填充材料的粘度。获得覆盖内部振荡器共振频率的局部共振衰减区 (LRAZ)，然后通过适当设计填充材料的粘度来扩大。综合研究了桩障的典型几何形状和材料参数对LRAZ的影响。为了验证 LRAZ 的效率，通过进行时程分析对有限周期管桩系统的动力响应进行了数值模拟。考虑到橡胶的粘度，发现衰减参数在 LRAZs 中被抑制而在 LRAZs 之外被放大。此外，当用软材料填充管桩时，可以有效地减少 20 Hz 以下 LRAZ 中横波的传播。这项研究的结果提出了一种在饱和土壤中设计周期性管桩屏障以减少环境振动的正确方法，尤其是在低频范围内。