上覆非饱和层的饱和地基稳态响应分析  

Steady state response of a saturated half-space with an unsaturated super-stratum

作　　者：胡安峰[1,2] 李怡君[1,2] 贾玉帅 HU Anfeng;LI Yijun;JIA Yushuai(Research Center of Coastal and Urban Geotechnical Engineering,Zhejiang University,Hangzhou ＇10058,China;MOE Key Lab of Soft and Geo-environmental Engineering Zhejiang University,Hangzhou ＇10058,China;Guangzhou Construction Quality ＆ Safety Testing Center,Guangzhou 510600,China)

机构地区：[1]浙江大学浙江大学滨海和城市岩土工程研究中心,杭州310058 [2]浙江大学软弱土与环境土工教育部重点实验室,杭州310058 [3]广州市建筑质量安全监测中心,广州510600

出　　处：《振动与冲击》2018年第11期34-41,54,共9页Journal of Vibration and Shock

摘　　要：基于多孔弹性饱和介质及多孔弹性非饱和介质的动力控制方程,研究了上覆非饱和层的饱和半空间成层地基在竖向谐振荷载作用下的稳态响应问题。通过引入位移函数,并利用Cauchy-Reimann条件,分别求得了Fourier变换域内饱和土与非饱和土的位移、应力和孔压的一般解;结合不同的边界条件和连续条件,经过Fourier逆变换,得到竖向简谐荷载作用下成层土的稳态响应积分表达式;当将上覆非饱和层饱和半空间分别退化为均质饱和弹性半空间及上覆弹性层饱和半空间时,结果与已有结果均吻合得较好。通过数值算例分析,着重研究了上覆非饱和土层的饱和度、厚度以及地表透气透水条件对动力响应的影响。Based on dynamic governing equations of saturated poro-elastic medium and unsaturated poro-elastic medium,steady state response of a layered subgrade subjected to vertical surface concentrated harmonic loads was investigated. By introducing displacement functions and making use of Cauchy-Reimann conditions,displacements,stresses and pore water pressures of saturated soil and unsaturated soil were solved,respectively. Combined with different boundary conditions and continuity conditions,the integral form solutions to steady-state responses of layered soil subjected to vertical surface concentrated harmonic loads were obtained through Fourier inverse transformation. When the layered subgrade was reduced to a homogeneous saturated ground or a saturated half-space with an elastic super-stratum,the results obtained here agreed well with those in literature. Using several numerical examples,effects of saturation and thickness of unsaturated super-stratum,and exhaust-drainage condition of ground surface on these dynamic responses were investigated.

关 键 词：上覆非饱和土层 饱和半空间 成层地基 稳态响应 FOURIER变换 

分 类 号：TU435[建筑科学—岩土工程]