Isolation of fast longitudinal waves by barriers composed of several rows of cylindrical cavities in saturated soils

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Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (16) : 73-78.

XU Ping1，TIE Ying2，CHEN Bin3

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Abstract

The lengths of cylindrical cavities are considered as much larger than their diameters, so the isolation of incident plane P1 waves (fast compressive wave) by discontinuous barriers composed of several rows of cylindrical cavities can be simplified as a two-dimensional plane problem. The conformal mapping method of complex functions and expansion method of wave functions are adopted, the cylindrical cavities boundaries are considered as free, where no stresses exist, and then the theoretical solutions about the complex coefficients of scattering wave potential functions are obtained. By studying the normalized displacement amplitudes, which are the ratios of displacement amplitudes of soils behind the barriers caused by both the incident and scattering waves to those only by the incident P1 waves, the isolation effects of the barriers composed of one, two and three rows of cylindrical cavities are compared, and the results reveal that (1) the isolation effects of barriers composed of several waterproof cylindrical cavities are better than those composed of permeable cylindrical cavities; (2) the isolation effects of barriers composed of several rows of cylindrical cavities for incident P1 waves with higher frequencies are much better than those with lower frequencies; (3) with the row number of cylindrical cavities increasing, the vibration isolation effects is obviously improved, and effective isolation area is obviously increased; (4) when the row number of cylindrical cavities reach three, the isolation effects of some locations behind the barriers is much better and almost increase to 70%.

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saturated soil / several rows of cylindrical cavities / discontinuous barrier / isolation effects / vibration isolation design

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XU Ping1，TIE Ying2，CHEN Bin3. Isolation of fast longitudinal waves by barriers composed of several rows of cylindrical cavities in saturated soils[J]. Journal of Vibration and Shock, 2015, 34(16): 73-78

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