Analysis of Green's functions in wavenumber-frequency domain for surface displacements of elastic layered half-space soil

Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics

Volumn 25, Issue 6, 2008, Pages 833-838

  Cao, Yan Mei ^a   Xia, He ^a  

^a BEIJING JIAOTONG UNIVERSITY   (China)

Author keywords

Cylindrical coordinates; Elastic layered half space; Green's function; Soil model; Transfer matrix; Wavenumber frequency domain

Indexed keywords

BOUNDARY VALUE PROBLEMS; DIFFERENTIAL EQUATIONS; FREQUENCY DOMAIN ANALYSIS; FUNCTIONS; GEOLOGIC MODELS; GREEN'S FUNCTION; MATLAB; PROBABILITY DENSITY FUNCTION; SOILS; STIFFNESS MATRIX; VECTORS;

CYLINDRICAL COORDINATES; ELASTIC LAYERED HALF-SPACE; SOIL MODEL; TRANSFER MATRIX; WAVENUMBER-FREQUENCY DOMAIN;

TRANSFER MATRIX METHOD;

EID: 58149310520     PISSN: 10074708     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. LAMB H. On the propagation of tremors over the surface of an elastic solid[J]. Philosophical Transactions of the Royal Society, 1904, A203: 1-42.
2. THOMSON W. Transmission of elastic waves through a stratified solid medium[J]. Journal of Applied Physics, 1950, 21: 89-93.
3. HASKELL N. The dispersion of surface waves on multilayered medium[J]. Bulletin of the Seismological Society of America, 1953, 73: 17-43.
4. KAUSEL E, ROESSET J M. Stiffness matrices for layered soils[J]. Bulletin of the Seismological Society of America, 1981, 71(6): 1743-1761.
5. LUCO J E, APSEL R J. On the Green's functions for a layered half-space. Part I[J]. Bulletin of the Seismological Society of America, 1983, 73(4): 909-929.
6. APSEL R J, LUCO J E. On the green's functions for a layered half-space. Part II[J]. Bulletin of the Seismological Society of America, 1983, 73(4): 931-951.
7. JONES D V, PETYT M. Ground vibration in the vicinity of a strip load: an elastic layer on an elastic half-space[J]. Sound and Vibration, 1993, 161(1): 1-18.
8. SHENG X, JONES C J C, et al. Ground vibration generated by a harmonic load acting on a railway track[J]. Sound and Vibration, 1999, 225(1): 3-28.
9. ZHONG Yang, CHEN Jing-yun, WANG Long. Explicit solution for dynamic problems in multilayered response of axisymmetrical viscoelastic half space by exact stiffness matrix method[J]. Chinese Journal of Computational Mechanics, 2003, 20(6): 749-755. (in Chinese)
10. LIAO Zhen-peng. Introduction to Wave Motion Theories in Engineering[M]. Beijing: Science Press, 2002. (in Chinese)