Determining Rayleigh damping parameters of soils for finite element analysis

Soil damping ratio is an important parameter for modelling the dynamic behaviour of soil embankment structures, especially for the micro-vibration analysis of hospitals and high-tech industries, which have a very severe construction requirement for vibration. This paper explores using a least-squares method to evaluate the Rayleigh damping parameters for the finite element analysis of wave propagation in soils. The least-squares method was first used in Bornitz's equation to calculate the absorption coefficients of soils. Afterward, the best-fit Rayleigh damping parameters were obtained using those coefficients in the least-squares scheme again. Both three-dimensional finite element analyses and field experiments were performed to validate the accuracy of this method. The comparison between experimental and finite element results demonstrates that the accuracy of this least-squares method is acceptable. Copyright © 2007 John Wiley & Sons, Ltd.

[1]  Shen-Haw Ju,et al.  Mass types, element orders and solution schemes for the Richards equation , 1997 .

[2]  S. Foti.  Small-strain stiffness and damping ratio of Pisa clay from surface wave tests , 2003 .

[3]  F. S. Lamb,et al.  On the Propagation of Tremors over the Surface of an Elastic Solid , 1904 .

[4]  G. Bornitz,et al.  Über die Ausbreitung der von Großkolbenmaschinen erzeugten Bodenschwingungen in die Tiefe , 1931 .

[5]  Shen-Haw Ju,et al.  Time‐dependent absorbing boundary conditions for elastic wave propagation , 2001 .

[6]  Izuru Takewaki,et al.  Nonlinear surface ground analysis via statistical approach , 2002 .

[7]  Youssef M A Hashash,et al.  Viscous damping formulation and high frequency motion propagation in non-linear site response analysis , 2002 .

[8]  S. H. Ju,et al.  Three-Dimensional Analyses of Wave Barriers for Reduction of Train-Induced Vibrations , 2004 .

[9]  Youssef M A Hashash,et al.  SOIL DAMPING FORMULATION IN NONLINEAR TIME DOMAIN SITE RESPONSE ANALYSIS , 2004 .

[10]  K. Aki,et al.  Quantitative Seismology, 2nd Ed. , 2002 .

[11]  D. V. Griffiths,et al.  Influence of Viscous Damping in the Dynamic Analysis of an Earth Dam Using Simple Constitutive Models , 1996 .

[12]  Paul Michaels.  In Situ Determination of Soil Stiffness and Damping , 1998 .

[13]  R. Cook,et al.  Concepts and Applications of Finite Element Analysis , 1974 .

[14]  Giovanni Cascante,et al.  PARAMETER ESTIMATION IN FINITE ELEMENT SIMULATIONS OF RAYLEIGH WAVES , 2002 .

[15]  John P. Wolf,et al.  Some cornerstones of dynamic soil-structure interaction , 2002 .