“…For the sake of substantiating the numerical model further, the vibration isolation performance of an open trench with 1 λ R depth and 0.1 λ R width was utilized as a reference, which was located 5 λ R away from the excitation source. It can be seen from Figure 3 b that the present results are identical to the previous research results of Yang and Huang [ 34 ] and Bordon et al [ 37 ]. As a consequence of the comparison research, the present grid precision is appropriate for numerical simulations.…”
Environmental vibration pollution has serious negative impacts on human health. Among the various contributors to environmental vibration pollution in urban areas, rail transit vibration stands out as a significant source. Consequently, addressing this issue and finding effective measures to attenuate rail transit vibration has become a significant area of concern. An infilled trench can be arranged periodically along the propagation paths of the waves in the soil to attenuate vibration waves in a specific frequency range. However, the periodic infilled trench seems to be unsatisfactory for providing wide band gaps at low and medium frequencies. To improve the isolation performance of wave barriers at low to medium frequencies, a buried PT-WIB consisting of a periodic infilled trench and a wave impedance block barrier has been proposed in this paper. A three-dimensional finite element model has been developed to evaluate the isolation performance of three wave barriers. The influence of the PT-WIB’s parameters on isolation performance has been analyzed. The results indicate that the combined properties of the periodic structure and the wave impedance block barrier can effectively achieve a wide attenuation zone at low and medium frequencies, enhancing the isolation performance for mitigating environmental vibration pollution.
“…For the sake of substantiating the numerical model further, the vibration isolation performance of an open trench with 1 λ R depth and 0.1 λ R width was utilized as a reference, which was located 5 λ R away from the excitation source. It can be seen from Figure 3 b that the present results are identical to the previous research results of Yang and Huang [ 34 ] and Bordon et al [ 37 ]. As a consequence of the comparison research, the present grid precision is appropriate for numerical simulations.…”
Environmental vibration pollution has serious negative impacts on human health. Among the various contributors to environmental vibration pollution in urban areas, rail transit vibration stands out as a significant source. Consequently, addressing this issue and finding effective measures to attenuate rail transit vibration has become a significant area of concern. An infilled trench can be arranged periodically along the propagation paths of the waves in the soil to attenuate vibration waves in a specific frequency range. However, the periodic infilled trench seems to be unsatisfactory for providing wide band gaps at low and medium frequencies. To improve the isolation performance of wave barriers at low to medium frequencies, a buried PT-WIB consisting of a periodic infilled trench and a wave impedance block barrier has been proposed in this paper. A three-dimensional finite element model has been developed to evaluate the isolation performance of three wave barriers. The influence of the PT-WIB’s parameters on isolation performance has been analyzed. The results indicate that the combined properties of the periodic structure and the wave impedance block barrier can effectively achieve a wide attenuation zone at low and medium frequencies, enhancing the isolation performance for mitigating environmental vibration pollution.
“…To screen these induced vibrations, different approaches, such as the construction of in-filled or open trenches, thin-wall barriers, expanded polystyrene (EPS) blocks, and pile barriers, have been proposed. Also, the induced vibration can affect the mechanical behavior of buried structures, such as pipelines [1][2][3][4][5][6][7][8][9][10].…”
The open or in-filled trenches are often used in engineering practice to mitigate ground vibration induced by different types of vibration sources. A novel approach which is considering the effect of Rayleigh wavelength on the efficiency of open and in-filled trenches coupled with regular specific normalized dimensions was implemented in this study. While impact loading is a very common type of loading (in, e.g., machine foundations, driven pile installation), it was rarely studied in the past. The loading is selected to consist of 12 impact pulses. In this study, it was shown that Rayleigh wavelength controls the effect of trench-normalized dimensions on its performance, and therefore, studying the trench effectiveness based only on its normalized dimensions is a limited assumption. For open trenches, the depth of trench is the key parameter controlling its efficiency, while its width does not have a significant effect except for shallow trenches (normalized width of less than 0.7) in the condition of low Rayleigh wavelength (2.0 m). Also, it was shown that the trench should be installed at a normalized distance of at least 1.0. Furthermore, the numerical results revealed that the effect of the normalized width of the geofoam trench on its efficiency for Rayleigh wavelength $${\lambda }_{R}=2.0 \, \mathrm{m}$$
λ
R
=
2.0
m
was more than that for $${\lambda }_{R}=8.0 \, \mathrm{m}$$
λ
R
=
8.0
m
. Also, several graphs for the design of geofoam trenches under different Rayleigh wavelengths were proposed in this study, which could be useful in practice.
“…The effectiveness of trenches is determined by their depth and the soil wavelength [1][2][3] and, for open or in-filled, has been the object of study of a large variety of research using an either experimental [3][4][5] or numerical [6][7][8][9][10][11][12] approach. Depending on the dimensions of the trench or the characteristics of the soil, sometimes it is necessary to include structural elements, such as thin shell walls [13] or sheet-pile walls [14][15][16], to guarantee its stability. Systems composed of double wall barriers have been also recently considered [17,18].…”
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