Numerical analysis of the isolation of the vibration due to Rayleigh waves by using pile rows in the poroelastic medium

Abstract

The isolation of the vibration due to harmonic Rayleigh waves using pile rows embedded in a saturated poroelastic half-space is investigated in this study. Based on Biot's theory and the potential function method, the free field solution for Rayleigh waves along the surface of the poroelastic half-space is derived first. The fundamental solution for a harmonic circular patch load applied in the poroelastic half-space are obtained in terms of Biot's theory and the integral transform method. Using Muki's method and the fundamental solution for the circular patch load as well as the Rayleigh waves solution for the poroelastic half-space, the second kind of Fredholm integral equations in the frequency domain for pile rows are derived. Numerical solution of the integral equations yields the dynamic response of the pile-soil system to incident Rayleigh waves. Influences of various parameters on the vibration isolation effect of piles rows are investigated numerically. Numerical results suggest that for the same vibration source, the same pile rows will produce a better vibration isolation effect for the poroelastic medium than for a single phase elastic medium. Also, stiffer piles tend to have better vibration isolation effect than flexible piles. Moreover, the pile length and the spacing between neighboring piles in each pile row have significant influence on the vibration isolation effect of pile rows.

Two-dimensional numerical approach for the vibration isolation analysis of thin walled wave barriers in poroelastic soils

“…When compared with elastic soils, much less works dealing with the efficiency of wave barriers in poroelastic soils exist. Cai et al [13,12] and Xu et al [36] studied the isolation efficiency of rows of piles in poroelastic soils using semi-analytical methods, and Cao et al [14] did the same for open trenches under a moving load. As it is seen, the BEM has been widely applied to study these types of problems because of its own capability to deal with unbounded regions.…”

Identification of sources, propagation and structure vibrations affecting men in means of transport based on the example of automotive vehicles

“…[7][8]). Organs of the head resonate in the band of [20][21][22][23][24][25][26][27][28][29][30], whereas eyeballs at 60-90 [Hz]. However, it is the nervous as well as the cardiovascular system that are the most sensitive to the whole organism vibrations.…”

“…on the ground surface. Body waves propagate in all directions [26,179,180]. Depending on the propagation direction, paraseismic waves can be divided into primary and secondary waves.…”

Use of Tyre-Derived Aggregate as Backfill Material for Wave Barriers to Mitigate Railway-Induced Ground Vibrations

“…The study of mitigation measures has also received significant attention among researchers due to the negative impact of railways in terms of noise and vibrations, especially appreciable in urban environments. It is well known that these measures are applicable in three different areas: (i) in the rail tracks, with elastic mats used under the track [ 8 ], subgrade stiffening [ 9 ], and improvements in rail irregularities and wheel defects, among others; (ii) in the wave propagation path, such as open trenches and filled trenches [ 10 , 11 , 12 , 13 , 14 , 15 , 16 ] among others and buried periodic inclusions [ 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 ]; and (iii) on the building, through base isolation solutions [ 32 ].…”