简谐荷载作用下非饱和土地基中波阻板隔振效果研究
Study on vibration isolation effect of wave impeding block in unsaturated soil foundation under a harmonic load
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摘要: 鉴于非饱和土地基振动问题的普遍性和复杂性,环境振动下非饱和土地基振动控制已成为土动力学的研究 热点。基于单相弹性介质和非饱和多孔介质理论,对简谐荷载作用下非饱和土地基中设置单相固体波阻板的隔振 效果进行了研究。考虑地表排水排气的边界条件,利用Fourier积分变换和Helmholtz矢量分解原理,建立了动荷载 作用下地基动力响应的计算列式。分析了非饱和土地基中土体饱和度、荷载频率、波阻板的埋深、厚度以及弹性模 量对其隔振性能的影响规律。结果表明:非饱和土地基中设置波阻板能够取得很好的隔振效果。地表位移幅值随 饱和度和波阻板埋深的减小而显著降低,随荷载频率、波阻板的厚度和弹性模量的增大而明显减小。Abstract: In view of the universality and complexity of unsaturated soil foundation vibration, the control of environmental vibration of ground vibration control of unsaturated soil foundation has become a research focus in soil dynamics. Based on the theory of sin? gle phase elastic media and porous mixture media, the vibration isolation effect of single phase elastic wave impeding block in an un? saturated soil foundation under harmonic load is studied. Considering the boundary conditions of surface drainage and exhaust, us? ing the Fourier transform and Helmholtz vector decomposition principle, the calculation formula for the dynamic response of the ground under dynamic loads is established. The effects of soil saturation, load frequency, embedded depth, thickness and elastic modulus of wave impeding block on the vibration isolation performance of unsaturated soil foundation is addressed. The results show that the wave impeding block in unsaturated ground can achieve a good vibration isolation effect. The surface displacement amplitude decreases significantly with the decrease of the saturation and the embedded depth of the wave impeding block, and de? creases significantly with the increase of the load frequency, the thickness and the elastic modulus of the wave impeding block.