CAJ | 학술논문

考虑路面和地基之间的相互作用,建立了路面-双层地基的三维模型,将车辆荷载模拟成矩形移动荷载,利用Fourier变换方法对车辆荷载作用下路面-双层地基系统的三维振动问题进行了研究.假设地基为上部弹性土体和下部为饱和土体组成的双层混合结构,整个系统置于刚性基岩上.通过引入势函数,利用Lame分解理论和积分变换方法分别对弹性土层和饱和土层进行求解.在Fourier变换域内,联立路面和下卧双层地基系统的的运动方程,获得了车辆荷载作用下路面-双层地基系统三维振动的位移和孔压响应的积分形式解,并利用IFFT算法和自适应数值积分算法得到了数值计算结果.研究结果可为路基动力响应分析提供参考.
고필로면화지기지간적상호작용,건립료로면-쌍층지기적삼유모형,장차량하재모의성구형이동하재,이용Fourier변환방법대차량하재작용하로면-쌍층지기계통적삼유진동문제진행료연구.가설지기위상부탄성토체화하부위포화토체조성적쌍층혼합결구,정개계통치우강성기암상.통과인입세함수,이용Lame분해이론화적분변환방법분별대탄성토층화포화토층진행구해.재Fourier변환역내,련립로면화하와쌍층지기계통적적운동방정,획득료차량하재작용하로면-쌍층지기계통삼유진동적위이화공압향응적적분형식해,병이용IFFT산법화자괄응수치적분산법득도료수치계산결과.연구결과가위로기동력향응분석제공삼고.
The three dimensional vibration of pavement and double-layered subgrade coupled system subjected to a rectangular moving load are investigated analytically. The pavement-subgrade interaction is considered, and the subgrade is divided into an elastic single-phase layer and a saturated soil layer with the underground water level as their border. By employing Lame decomposition theorem of displacement field and potential functions, the governing equations of the system are solved in the transformed field domains of moving space. Considering the mixed boundary condition at the upper surface, the fixed boundary condition at the lowest surface and that the stress and displacement at the interface of the layers are continuous, analytical solutions of vertical displacement and pore pressure in the form of integral are derived using the Fourier transform and the inverse Fourier transform. Numerical results are obtained by using IFFT algorithm and adaptive quadrature algorithm. Reference is made for analyzing dynamic responses of subgrades.