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| Analytical solution for isolation effect of periodically distributed pile-group barriers against plane elastic wave#br# |
| BA Zhenning1，2，3，LIU Shipeng1，WU Mengtao1，LIANG Jianwen1，2，3#br# |
(1. Department of Civil Engineering，Tianjin University，Tianjin 300350，China；2. Laboratory of Earthquake Engineering Simulation and Seismic Resilience of China Earthquake Administration，Tianjin University，Tianjin 300350，China；3. Key Laboratory of Coast Civil Structure Safety，Ministry of Education，Tianjin University，Tianjin 300350，China)
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Abstract Based on the periodic characteristics of wave field around the periodically distributed scatters under incident plane wave，an analytical method is creatively proposed to solve the vibration isolation effect of infinite periodically distributed group piles barrier against elastic wave. Graf addition theorem which is suitable for wave function transformation between arbitrary coordinate systems is derived firstly. Then，the wave function expansion method and one different phase in the frequency domain around different period units is used，so that only one periodic unit needs to be selected for analysis to solve the scattering wave field of the whole pile group barrier. This analytical method makes up for the shortcomings of the previous theoretical analysis when there are a number of piles，and at the same time， has the advantages of high accuracy，low calculation amount and significantly reducing the solution time，which is convenient to analyse the vibration isolation law of pile group barrier with a large number of piles. In this paper，the influence of pile row number，pile spacing and arrangement on the vibration isolation effect is discussed. The results show that the isolation effects of group piles barrier on SH，SV and P waves are mainly reflected in the lower frequency band (0.2–1.2)，in the middle frequency band of (0.6–1.8)，and in the middle and higher frequency bands (1.2–1.5 and 2.2–2.8)，respectively. With increasing one row piles，the isolation effects against SH，SV and P waves can be respectively increased by 50%，33% and not more than 10%. Reducing the distance between piles is helpful to improve the vibration isolation effect of pile group barrier，and compared with reducing the distance between rows，the effect of reducing the distance between columns is more obvious. On the whole，the vibration isolation effect of the quincunx arrangement is better than that of the rectangular arrangement except for the case of the incident wave frequency h = 0.7–1.8.
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2020, Vol. 39 
