成层多孔粘弹性地基在轴对称荷载作用下的解  

Axisymmetric solutions for layered and porous viscoelastic media

作　　者：于立[1] 

机构地区：[1]新加坡国立大学土木工程系,新加坡119260

出　　处：《岩土力学》2001年第3期276-280,共5页Rock and Soil Mechanics

摘　　要：给出一种有效的解析方法求解成层多孔粘弹性地基在轴对称荷载作用下的固结问题。通过关于时间t的拉普拉斯变换和关于半径r的亨克尔变换，将控制偏微分方程转化为常微分方程，从而得到用常微分矩阵方程形式表示的控制方程。基于矩阵常微分方程的解以及拉普拉斯、亨克尔逆变换，可得到该固结问题的解。该方法理论及计算简捷。通过算例比较了该方法的精度，并研究了地基的粘弹性特性对固结过程的影响。 For the first time was presented an efficient analytical procedure for the consolidation of layered and porous viscoelastic media under axisymmetric load． Governing partial differential equations were reduced to ordinary differential equations by applying Laplace transform and then Hankel transform with respect to the time and radial coordinates respectively and all the ordinary differential equations can be expressed by matrix ordinary differential equation． With the transfer matrix obtained from the solution of the matrix equation and by applying inverse Hankel and Laplace transforms solutions of the consolidation for the layered soils were found without much computational efforts． Comparison with existing solution was performed in order that the accuracy of the present method could be assessed． Parametric studies were conducted for investigating the influence of viscoelasticity．

关 键 词：拉普拉斯变换 亨克尔变换 传递矩阵 多孔粘弹性地基 轴对称荷载作用 

分 类 号：TU471.2[建筑科学—结构工程]