CAJ | 학술논문

在Biot饱和土波动方程的基础上,分析了全空间均质饱和土体中单排空心管桩对倾斜入射弹性波的隔离效果.将倾斜入射波和散射波的势函数展开成Fourier-Bessel函数的无穷级数的形式,利用一组圆柱坐标系统和Graff加法转换定理,通过施加桩土界面处的应力和位移连续的边界条件,求解出散射波势函数的待定系数,进而得到饱和土体中任意点的位移和应力.数值算例分析了饱和土体的渗透性和管桩的壁厚等参数对管桩隔离效果的影响.结果表明:空心管桩的隔离效果要好于实心排桩;随着饱和土体渗透性的降低,管桩的隔离效果越好,但当渗透性降低到一定程度后,再减小土体渗透性对管桩的隔离效果影响不大.
재Biot포화토파동방정적기출상,분석료전공간균질포화토체중단배공심관장대경사입사탄성파적격리효과.장경사입사파화산사파적세함수전개성Fourier-Bessel함수적무궁급수적형식,이용일조원주좌표계통화Graff가법전환정리,통과시가장토계면처적응력화위이련속적변계조건,구해출산사파세함수적대정계수,진이득도포화토체중임의점적위이화응력.수치산례분석료포화토체적삼투성화관장적벽후등삼수대관장격리효과적영향.결과표명:공심관장적격리효과요호우실심배장;수착포화토체삼투성적강저,관장적격리효과월호,단당삼투성강저도일정정도후,재감소토체삼투성대관장적격리효과영향불대.
On the basis of Biot's dynamic theory, the isolation of obliquely incident elastic waves by an array of pipe piles in saturated soil was investigated. The potential functions of incident and scattered waves were expanded into Fourier-Bessel series, and the coefficients of scattering waves field were determined by imposing continuity conditions of stress and displacement at the soil-pile interfaces with the help of a set of cylindrical coordinate systems and in accordance with the Graff's addition theorem. A parametric analysis was conducted to study the influence of the soil permeability and the wall thickness of the pipe pile on the isolation effectiveness. The numerical results show that, the isolation effectiveness of an array of pipe piles is better than that of an array of solid piles, and the isolation effectiveness increases with the decrease of soil permeability.