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非饱和土中周期性障碍物对宽带表面波的操控

Broadband surface wave manipulation by periodic barriers in unsaturated soil.

作者信息

Wu Liangliang, Shi Zhifei

机构信息

Institute of Smart Materials and Structures, School of Civil Engineering, Beijing Jiaotong University , Beijing 100044, People's Republic of China.

出版信息

Philos Trans A Math Phys Eng Sci. 2024 Sep 9;382(2278):20230372. doi: 10.1098/rsta.2023.0372. Epub 2024 Jul 29.

Abstract

Periodic wave barriers have been widely used to manipulate elastic waves propagating in saturated and single-phase soil due to their attenuation zone properties. However, it is difficult to promote application of periodic barriers in unsaturated soils due to their complex constitutive relationship. In this study, manipulation of surface waves by periodic in-filled trench barriers in unsaturated soil has been studied based on the periodic theory. The dispersion relations of a periodic structure for surface waves in unsaturated soil are determined. The attenuation mechanism of evanescent surface waves is revealed. Next, the effects of several key parameters of unsaturated soil on the attenuation zones of the periodic in-filled trench barriers are comprehensively discussed. It is found that in a particular range for material parameter, the surface waves are attenuated over the entire frequency range due to the viscosity of fluid. Finally, a periodic in-filled trench barrier is designed according to a field test of ground vibration induced by a train, and its performances in mitigating surface waves propagating in unsaturated and saturated soils are conducted and compared by conducting analysis in time domain. This investigation provides a new insight for manipulating surface waves by periodic barriers. This article is part of the theme issue 'Current developments in elastic and acoustic metamaterials science (Part 1)'.

摘要

由于其衰减区特性,周期性波屏障已被广泛用于操纵在饱和土和单相土中传播的弹性波。然而,由于非饱和土复杂的本构关系,周期性屏障在非饱和土中的应用难以推广。在本研究中,基于周期理论研究了非饱和土中周期性填充沟槽屏障对表面波的操纵。确定了非饱和土中表面波周期性结构的色散关系。揭示了倏逝表面波的衰减机制。接下来,全面讨论了非饱和土几个关键参数对周期性填充沟槽屏障衰减区的影响。研究发现,在材料参数的特定范围内,由于流体的粘性,表面波在整个频率范围内都会衰减。最后,根据列车引起的地面振动现场试验设计了周期性填充沟槽屏障,并通过时域分析对其在减轻非饱和土和饱和土中传播的表面波方面的性能进行了测试和比较。本研究为利用周期性屏障操纵表面波提供了新的见解。本文是主题为“弹性和声学超材料科学的当前发展(第1部分)”的一部分。

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