CAJ | 학술논문

研究了全空间饱和土体中圆形衬砌隧道在径向简谐点荷载作用下的三维动力响应，将衬砌用无限长圆柱壳来模拟，土体用Biot饱和多孔介质模型来模拟，引入两类势函数来表示土骨架的位移和孔隙水压力，并利用修正Bessel 方程来求解各势函数，结合边界条件，得到频率-波数域内衬砌和土骨架位移、孔隙水压力的解答，最后进行 Fourier 逆变换得到时间-空间域内的响应。通过算例分析了荷载振动频率和土体渗透性对土体和衬砌位移响应及土体孔压的影响。结果表明，饱和土体和弹性土体的位移响应具有明显区别。随着荷载频率的增大，土体和隧道位移幅值减小，土体孔压幅值增大；随着土体渗透性增大，土体位移及孔压幅值减小。
연구료전공간포화토체중원형츤체수도재경향간해점하재작용하적삼유동력향응，장츤체용무한장원주각래모의，토체용Biot포화다공개질모형래모의，인입량류세함수래표시토골가적위이화공극수압력，병이용수정Bessel 방정래구해각세함수，결합변계조건，득도빈솔-파수역내츤체화토골가위이、공극수압력적해답，최후진행 Fourier 역변환득도시간-공간역내적향응。통과산례분석료하재진동빈솔화토체삼투성대토체화츤체위이향응급토체공압적영향。결과표명，포화토체화탄성토체적위이향응구유명현구별。수착하재빈솔적증대，토체화수도위이폭치감소，토체공압폭치증대；수착토체삼투성증대，토체위이급공압폭치감소。
Three-dimensional dynamic response of a circular lining tunnel surrounded by a full-space saturated soil to a harmonic point load acting in the radial direction is investigated. The lining is modeled as a cylindrical shell of infinite length;and the soil is modeled as a saturated poroelastic medium using Biot’s theory. Two kinds of potential functions are introduced to represent the displacements of the soil skeleton and the excess pore fluid pressure;and the modified Bessel equations are utilized to obtain the expressions of the potentials function. According to boundary conditions, the analytical solutions of displacements of lining and soil and pore pressure are derived in frequency-wave number domain. Finally, the time-space domain solutions of the dynamic responses are obtained by inverse Fourier transformation. The effects of load vibration frequency and soil permeability on displacement and pore pressure responses are investigated. Numerical results show that the displacement response of saturated soil is significantly different from that of single phase elastic soil. As the load vibration frequency increasing, the displacement amplitudes of soil and tunnel decrease, while the pore pressure amplitude increases. The displacement and pore pressure amplitudes of soil decrease as the soil permeability getting better.