非饱和土中周期性空沟-堆土屏障对表面波的隔振研究

Seismic isolation of surface waves by periodic open trench-mound barriers in unsaturated soil

  • 摘要: 针对表面波引起的振动问题,基于周期结构理论以及波动方程,对非饱和土中周期空沟-堆土联合隔振屏障的隔振特性开展了理论研究。首先,选取空沟-堆土联合隔振屏障的单胞,利用有限单元法分析了屏障带隙特性的主要影响因素。其次,建立了简谐荷载作用下周期性空沟-堆土隔振屏障的振动响应模型,并分析了空沟和堆土的几何尺寸对隔振效果的影响。结果表明:非饱和土中联合周期屏障具有一定宽度的带隙和较好的隔振效果,空沟尺寸变化对带隙边界和宽度的影响大于堆土尺寸,堆土宽度对带隙范围的影响最小,其他尺寸随着参数的增加而使带隙宽度减小;屏障的周期数空沟深度对隔振效果的影响最为显著,而在几何尺寸中,空沟深度对隔振效果的影响显著,堆土宽度的影响较小;联合屏障的隔振效果优于单一屏障。

     

    Abstract: To address the vibration problem caused by surface waves, a theoretical study on the vibration isolation characteristics of a periodic open trench-soil mound joint vibration isolation barrier in unsaturated soil was carried out based on the periodic structure theory and the fluctuation equation. Firstly, a single cell of the combined trench-soil mound vibration isolation barrier was selected, and the main influencing factors of the barrier's band gap characteristics were analyzed using the finite unit method. Secondly, the vibration response model of the periodic open trench-soil mound vibration isolation barrier under simple harmonic loading was established, and the effects of the geometrical dimensions of the open trench and soil-mound on the vibration isolation effect were analyzed. The results show that the joint periodic barrier in unsaturated soil has a certain width of the bandgap and better vibration isolation effect, the influence of the variation of trench size on the boundary and width of the bandgap is greater than the size of the soil mound, the width of the mound has the smallest influence on the range of the bandgap, and the other dimensions make the width of the bandgap decrease with the increase of the parameter; the number of the period of the barrier the depth of the trench has the most significant influence on the vibration isolation effect, while in the geometrical dimensions, the depth of the trench has the vibration isolation effect is the most significant and the effect of soil mound width is the least.

     

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