交通荷载作用下饱和土中管道的动力分析
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摘要
采用基于u-p格式的有限元数值解法分析饱和土中的管道在交通荷载作用下的动力反应.考虑了惯性力以及水土耦合作用、管土相互作用的影响,对控制方程采用标准Galerkin离散法和Newmark-β法建立有限元动力方程,并引入传输边界条件来模拟土体水平方向的无限性.土体单元包括二次插值的土骨架位移自由度和线性插值的孔隙水压自由度,可以解决混合模式引起的解的稳定性问题.研究表明,管道周围土体存在孔压较大的区域,且受土体的渗透系数和排水边界条件的影响;车速对管道的振幅和频率影响较大.孔压的增长和消散可进一步计算管体的力学性状和路面的沉降.
Numerical procedures were adopted for dynamic analyses of pipes in saturated soil by the u-p scheme finite elements.Inertia forces,fluid-soil coupling and soil-pipe interaction were considered in the finite-element dynamic equations derived using the Galerkin discrete method and Newmark-β method in the governing equations.An Absorbing boundary condition was introduced to simulate horizontal infinite soil region by finite elements.To solve the stabilization problem,soil elements were considered as consisting of soil skeleton displacements freedoms and linear pore pressure freedoms.The results show that the soil region surrounding the pipes has larger pore pressure which is notably affected by the soil permeability and drainage boundary condition;The vehicle velocity influences the amplitude and frequency of the pipe's vibration.The rise and dissipation of the pore pressure can be used to evaluate the mechanics of pipes and the settlement of the pavement.
Numerical procedures were adopted for dynamic analyses of pipes in saturated soil by the u-p scheme finite elements.Inertia forces,fluid-soil coupling and soil-pipe interaction were considered in the finite-element dynamic equations derived using the Galerkin discrete method and Newmark-β method in the governing equations.An Absorbing boundary condition was introduced to simulate horizontal infinite soil region by finite elements.To solve the stabilization problem,soil elements were considered as consisting of soil skeleton displacements freedoms and linear pore pressure freedoms.The results show that the soil region surrounding the pipes has larger pore pressure which is notably affected by the soil permeability and drainage boundary condition;The vehicle velocity influences the amplitude and frequency of the pipe's vibration.The rise and dissipation of the pore pressure can be used to evaluate the mechanics of pipes and the settlement of the pavement.
引文
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[3]ZIENKIEWICZ O C,SHIOMI T.Dynamic behavior ofsaturated porous media:The generalized Biot formula-tion and its numerical solution[J].International Journalfor Numerical and Analytical Methods in Geomechanics,1984,8:71 96.
[4]MAOSONG HUANG,ZHONG QI YUE,et al.On thestable finite element procedures for dynamic problems ofsaturated porous media[J].International Journal forNumerical Methods in Engineering,2004,61:14211450.
[5]MAGDA W.Wave-induced uplift force acting on a sub-marine buried pipeline:finite element formulation andverification of computations[J].Computers andGeotechnics,1996,19(1):47 73.
[6]JENG D S,POSTMA P F,LIN Y S.Stresses and de-formation of buried pipeline under wave loading[J].Journal of Transportation Engineering-ASCE,2001,127:398 407.
[7]AKIYOSHI T,FUCHIDA K,FANG H L.Absorbingboundary conditions for dynamic analysis of fluid-satu-rated porous media[J].Soil Dynamic and EarthquakeEngineering,1994,13(6):387 397.
[8]李洵.交通荷载作用下埋地管道的力学性状分析[D].杭州:浙江大学,2004.LI Xun.Analysis on mechanical characteristics of pipe-lines buried in soft soil under transportation loads[D].Hangzhou:Zhejiang University,2004.
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