Determining Rayleigh damping parameters of soils for finite element analysis

International Journal for Numerical and Analytical Methods in Geomechanics

Volumn 31, Issue 10, 2007, Pages 1239-1255

  Ju, Shen Haw ^a   Ni, Sheng Huoo ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

Absorption coefficient; Damping; Finite element methodfrequency; Least squares; Love wave; Rayleigh damping; Rayleigh wave; Shaker; Soil

Indexed keywords

DAMPING; FINITE ELEMENT METHOD; LEAST SQUARES APPROXIMATIONS; RAYLEIGH WAVES; THREE DIMENSIONAL; VIBRATION ANALYSIS;

ABSORPTION COEFFICIENT; BORNITZ'S EQUATION; RAYLEIGH DAMPING;

SOIL MECHANICS;

DAMPING; FINITE ELEMENT METHOD; LEAST SQUARES APPROXIMATIONS; RAYLEIGH WAVES; SOIL MECHANICS; THREE DIMENSIONAL; VIBRATION ANALYSIS;

ABSORPTION COEFFICIENT; DAMPING; FINITE ELEMENT METHOD; LEAST SQUARES METHOD; LOVE WAVE; RAYLEIGH WAVE; SOIL DYNAMICS;

EID: 34547798431     PISSN: 03639061     EISSN: 10969853     Source Type: Journal    
DOI: 10.1002/nag.598     Document Type: Article

References (19)

1. Park D, Hashash YMA. Soil damping formulation in nonlinear time domain site response analysis. Journal of Earthquake Engineering 2004; 8:249-274.
2. Foti S. Small-strain stiffness and damping ratio of Pisa clay from surface wave tests. Geotechnique 2003; 53:455-461.
3. Zerwer A, Cascante G, Hutchinson J. Parameter estimation in finite element simulations of Rayleigh waves. Journal of Geotechnical and Geoenvironmental Engineering 2002; 128:250-261.
4. Wolf JP, Song CM. Some cornerstones of dynamic soil-structure interaction. Engineering Structures 2002; 24:13-28.
5. Takewaki I, Fujii N, Uetani K. Nonlinear surface ground analysis via statistical approach. Soil Dynamics and Earthquake Engineering 2002; 22(6):499-509.
6. Hashash YMA, Park D. Viscous damping formulation and high frequency motion propagation in non-linear site response analysis. Soil Dynamics and Earthquake Engineering 2002; 22(7):611-624.
7. Michaels P. In situ determination of soil stiffness and damping. Journal of Geotechnical and Geoenvironmental Engineering 1998; 124:709-719.
8. Woodward PK, Griffiths DV. Influence of viscous damping in the dynamic analysis of an earth dam using simple constitutive models. Computers and Geotechnics 1996; 19:245-263.
9. Lamb H. On the propagation of tremors over the surface of an elastic solid. Philosophical Transactions of the Royal Society of London, Series A 1904; 203:1-42.
10. Bornitz G. Über die Ausbreitung der von Groszkolbenmaschinen erzeugten Bodenschwingungen in die tiefe. Springer: Berlin, 1931.
11. Love AEH. Some Problems of Geodynamics. Cambridge University Press: Cambridge, 1911, 1926.
12. Richart FE, Hall JR, Woods RD. Vibration of Soils and Foundations. Prentice-Hall: Englewood Cliffs, NJ, 1970.
13. Cook RD, Malkus DS, Plesha ME. Concepts and Applications of Finite Element Analysis (3rd edn). Wiley: New York, 1989.
14. Ju SH. Development of a nonlinear finite element program with rigid link and contact element. Report of NSC in R.O.C., NSC-86-2213-E-006-063, 1997. This report and source codes in an executable compressed file nfemnew.exe of MS-DOS can be obtained from the internet myweb.ncku.edu.tw/~juju
15. Aki K, Richards PG. Quantitative Seismology (2nd edn). University Science Books: Sausalito, CA, 2002.
16. Ju SH, Kung KS. Mass types, element orders and solving schemes for the Richards equation. Computers and Geosciences 1997; 23:175-187.
17. Ju SH, Wang YM. Time-dependent absorbing boundary conditions for elastic wave propagation. International Journal for Numerical Methods in Engineering 2001; 50:2159-2174.
18. Chen CH, Chu HG. Determining attenuation parameters of ground vibration in Southern Tainan Science Park. Conference on Vibration Isolation in Southern Tainan Science Park, Tainan, Taiwan, 2001; 151-170.
19. Ju SH. 3D finite element analyses of wave barriers for reduction of train-induced vibrations. Journal of Geotechnical and Geoenvironmental Engineering 2004; 130:740-748.