Vertical Vibration Analysis of Axisymmetric Saturated Soil
-
摘要: 基于Biot动力固结方程，考虑了土体和水体的惯性力以及水土之间的耦合作用，采用Laplace-Hankel积分变换求解耦联合方程组，得到动荷载下饱和地基振动问题的解答．根据下边界为不透水基岩的边界条件，获得了地基表面作用圆形轴对称任意荷载时土层应力、位移等的一般积分形式解．研究表明，激振频率对饱和地基的竖向振动有很大影响，地基表面的竖向位移与施加荷载之间存在相位差．此外，动力渗透系数在荷载施加的初期对结果有较大影响，随着荷载趋于稳定，其影响变得很小．Abstract: Based on Biot's dynamic consolidation equations,by means of Laplace_Hankel transform technology,the integral solutions of stress and displacement in saturated soil with subjacent rock_stratum under axisymmetric arbitrary excitations were derived.Influence of the reflected wave generated by the boundary was revealed.Numerical results indicate that the vibration frequency has some effect on the vertical displacement of saturated soil.The vertical displacement at the surface of saturated soil lags in phase with the load.Furthermore,the dynamic permeability coefficient of saturated soil has significant effect on the vertical displacement at the initial stage of load applied,but when the load becomes stable,the effect is inapparent.
-
Key words:
- vertical vibration analysis /
- arbitrary excitation /
- saturated soil
-
[1] Biot M A.Theory of propagation of elastic waves in a fluid-saturated porous solid[J].The Journal of The Acoustical Society of America,1956,28(2):168—191. doi: 10.1121/1.1908239 [2] Halpern M R,Christiano P.Response of poroelastic half-space to steady state harmonic surface tractions[J].Int J Numer Anal Mech Geomech,1986,10(6):609—632. doi: 10.1002/nag.1610100605 [3] JIN Bo.The vertical vibrations of an elastic circular plate on a fluid-saturated porous half-space[J].Int J Engng Sci,1999,37(3):379—393. doi: 10.1016/S0020-7225(98)00073-1 [4] 祝波恩，蔡袁强，凌道盛.饱和地基二维动力Biot固结分析[J].岩土工程学报，2004,26(2):248—253. [5] 陈龙珠，陈胜立，梁发云.饱和地基竖向振动的衰减特性[J].上海交通大学学报，2002,36(3):376—381. [6] 张玉红，黄义.两相介质饱和土三维非轴对称稳态响应分析[J].应用力学学报，2002,19(3):85—89. [7] 杨军，宋二祥.饱和无限地基反应的有限元分析[J].清华大学学报，1999,39(12):82—85. [8] Bougacha S,Tassoulas J L,Roesset J M.Analysis of foundations on fluid-filled poroelastic stratum[J].J Engng Mech,1993,119(8):1632—1648. doi: 10.1061/(ASCE)0733-9399(1993)119:8(1632) [9] CAI Yuan-qiang,MENG Kai,XU Chang-jie.Stable response of axisymmetric two-phase water-saturated soil[J].J Zhejiang University SCI,2004,5(9):1022—1027. doi: 10.1631/jzus.2004.1022 [10] Durbin F.Numerical inversion of Laplace transformation:An efficient improvement to Durbin and Abate's method[J].Comput J,1974,17(4):371—376. -
点击查看大图
计量
- 文章访问数: 2242
- HTML全文浏览量: 77
- PDF下载量: 619
- 被引次数: 0
下载:
