饱和土中单桩在瑞利波作用下的动力响应

研究了频域内半空间饱和土中单桩在瑞利波作用下的动力响应。首先利用Muki的虚拟桩方法,将桩土共同作用问题分解为拓展的半空间饱和土和虚拟桩的叠加。拓展的半空间饱和土用Biot理论求解,而虚拟桩则用杆和梁的振动理论求解。利用半空间饱和土的基本解和自由波场解及桩、土间变形协调条件,建立了桩土共同作用的第二类Fredholm积分方程。对积分方程的数值求解可得桩在瑞利波作用下的动力响应。数值结果显示了饱和土的渗透系数、桩土相对刚度及入射波的频率对桩的动力响应有显著影响。

Dynamic response of single pile embedded in half-space saturated soil subjected to Rayleigh waves

The frequency domain response of single pile embedded in half-space saturated soil and subjected to Rayleigh waves was investigated.Based on the fictitious pile methodology,the original soil-pile interaction problem was reduced to the superposition of an extended porous half space and a fictitious pile.The extended porous half space was described by Biot’s theory,while the fictitious pile was treated by the bar and beam vibration theory.The second kind of Fredholm integral equation for the pile was established in terms of the fundamental solution,the compatibility conditions and the free wave field.The dynamic response of the soil-pile system was yielded by numerical solution of the integral equation.It was shown that the influences of the permeability,the pile-soil elastic modulus ratio and the frequency of the incident waves on the dynamic response of the soil-pile system were significant.