摘要
本文提出了一类计算浅埋基础下饱和土层中震动孔隙水压力增长与消散的解析解。文中首先将太沙基二维固结理论与不排水条件下震动孔压增长模式相耦合,给出了描述自然排水条件下震动孔压消长的微分方程式;其次针对工业与民用建筑工程中大量存在的浅埋基础条件,并考虑到孔压增长模式的多样性以及起始静孔压场的影响,采用Sturmliouviile系统以及Duhamel积分与多重Fourier展开,定出了分域表示的一类一般性解析解。这无论是对简便与合理地解决浅埋基础下土层抗震计算问题,还是对验证和完善相应问题的数值分析方法都是十分有意义的。
In this paper a kind of analytical solution of seismic pore water pressure generation-dissipation in saturated sand layer is presented. Firstly, the differential equation discribing the seismic pore pressure generation-disspation under naturally drained condition is given based on coupling the Terzaghi's consolidation theory in the two-dimensional condition with the generation model of seismic pore pressure in undrained condition,By using the Sturm-Liouville system, Duhamel Integral and multiple Fourier's series,the general analytical solution is then determined considering the condition of saturated sand deposit with shallow foundation widely built in industrial and Civil structures and also considering the effect of the variety of seismic pore Pressure generation models as well as the effect of initial pore pressure field.
出处
《西北水资源与水工程》
1991年第1期10-14,共5页
Northwest Water Resources & Water Engineering
