从粘弹性体波的三维分数阶本构方程出发.分析了软粘土中粘弹性P波和S波的频散效应,对比研究了非连续刚性桩和弹性桩对粘弹性sH波的隔离效果.利用有限差分法,分别模拟了不同桩间距与桩直径比、不同分数阶阶数及入射频率下振幅衰减系数的变化规律,并对比分析了刚性桩和弹性桩的隔震效果.数值实验表明,桩间距与桩直径比值越小,分数阶阶数越大,刚性桩隔震效果越好.对于某些特定的隔震区域,分数阶阶数越小,弹性桩隔震效果越好.
Based on the 3-dimensional (3D) fractional order constitutive equation of viscoelas- tic body waves, the frequency dispersion characteristics of viscoelastic P- and S-waves were an- alyzed. Also, the isolation effects of the discontinuous rigid pile barrier and the elastic pile bartier 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.