Application of Fractional Calculus to Simulate the Isolation Effects of Discontinuous Pile Barriers on Viscoelastic SH Waves

LI Yuan; CHEN Wen; PANG Guo-fei

doi:10.3879/j.issn.1000-0887.2014.09.001

Volume 35 Issue 9

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LI Yuan, CHEN Wen, PANG Guo-fei. Application of Fractional Calculus to Simulate the Isolation Effects of Discontinuous Pile Barriers on Viscoelastic SH Waves[J]. Applied Mathematics and Mechanics, 2014, 35(9): 949-958. doi: 10.3879/j.issn.1000-0887.2014.09.001

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Application of Fractional Calculus to Simulate the Isolation Effects of Discontinuous Pile Barriers on Viscoelastic SH Waves

doi: 10.3879/j.issn.1000-0887.2014.09.001

College of Mechanics and Materials, Hohai University, Nanjing 210098, P.R.China

Funds: The National Basic Research Program of China (973 Program)（2010CB832702）; The National Science Fund for Distinguished Young Scholars of China（11125208）

Received Date: 2014-04-10
Rev Recd Date: 2014-07-08
Publish Date: 2014-09-15

Abstract

Abstract

Based on the 3-dimensional (3D) fractional order constitutive equation of viscoelastic body waves, the frequency dispersion characteristics of viscoelastic P- and S-waves were analyzed. Also, the isolation effects of the discontinuous rigid pile barrier and the elastic pile barrier in soft clay on viscoelastic SH waves were comparatively studied. With the finite difference method (FDM), an array of vibration amplitude reduction factors for different pile spacing-to-diameter ratios, different fractional orders and different frequencies of incident waves were obtained, and the isolation effect of the elastic pile isolation system in comparison with the rigid was analyzed. The results exhibit that the smaller pile spacing-to-diameter ratio is, or the larger the fractional order is, the better isolation effect of the rigid barrier will be. In contrast, the elastic barrier has better isolation effect in some special target area when the fractional order becomes smaller.
- time fractional derivative,
- viscoelastic wave scattering,
- barrier isolation,
- finite difference method (FDM)

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References(25)

References

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