Solution of moving-load-induced soil vibrations based on the Betti-Rayleigh Dynamic Reciprocal Theorem

Soil Dynamics and Earthquake Engineering

Volumn 30, Issue 6, 2010, Pages 470-480

  Cao, Y M ^a   Xia, H ^a   Lombaert, G ^b  

^a BEIJING JIAOTONG UNIVERSITY   (China)

^b UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

Moving load; Soil; Space time analysis; The Betti Rayleigh Dynamic Reciprocal Theorem; The Green's function; Vibration; Wavenumber frequency analysis

Indexed keywords

FREQUENCY ANALYSIS; MOVING LOAD; RAYLEIGH; RECIPROCAL THEOREM; SPACE TIME ANALYSIS; THE BETTI-RAYLEIGH DYNAMIC RECIPROCAL THEOREM; VIBRATION; WAVE NUMBERS;

GREEN'S FUNCTION; MATLAB; SOILS;

VIBRATION ANALYSIS;

DYNAMIC RESPONSE; FREQUENCY ANALYSIS; GREEN FUNCTION; LOADING; P-WAVE; RAYLEIGH WAVE; S-WAVE; SOIL MECHANICS; TOPSOIL; VIBRATION; WAVE VELOCITY;

EID: 77549087370     PISSN: 02677261     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.soildyn.2010.01.003     Document Type: Article

References (23)

1. Lamb H. On the propagation of tremors over the surface of an elastic solid. Philosophical Transactions of the Royal Society A203 (1904) 1-42
2. Lombaert G. Development and experimental validation of a numerical model for the free field vibrations induced by road traffic. PhD thesis, K.U. Leuven, Belgium, 2001.
3. Auersch L. The effect of critical moving loads on the vibrations of soft soils and isolated railway tracks. Journal of Sound and Vibrations 310 (2008) 587-607
4. Steenbergen M.M.J.M., and Metrikine A.V. The effect of the interface conditions on the dynamic response of a beam on a half-space to a moving load. European Journal of Mechanics A/Solids 26 (2007) 33-54
5. Xu B., Lu J.F., and Wang J.H. Dynamic response of an infinite beam overlying a layered poroelastic half-space to moving loads. Journal of Sound and Vibrations 306 (2007) 91-110
6. Celebi E., and Schmid G. Investigation of ground vibrations induced by moving loads. Engineering Structures 27 (2005) 1981-1998
7. Bian X.C., and Chen Y.M. Characteristics of layered ground responses under train moving loads. Chinese Journal of Rock Mechanics and Engineering 26 1 (2007) 182-189 (in Chinese)
8. Eason G. The stresses produced in a semi-infinite solid by a moving surface force. Engineering Science 2 (1965) 581-609
9. Gakenheimer D.C. Transient excitation of an elastic half-space by a point load traveling on the surface (1969), California Institute of Technology, California, Pasadena
10. Frýba L. Vibration of Solids and Structures under Moving Loads (1999), Thomas Telford, London
11. Alabi B. A parametric study on some aspects of ground-borne vibrations due to rail traffic. Sound and Vibration 153 1 (1992) 77-87
12. De Barros F.C.P., and Luco J.E. Response of a layered visco-elastic half-space to a moving point load. Wave Motion 19 (1994) 189-210
13. Luco J.E., and Apsel R.J. On the Green's functions for a layered half-space. Part I. Bulletin of the Seismological Society of America 73 4 (1983) 909-929
14. Grundmann H., Lieb M., et al. The response of a layered half-space to traffic loads moving along its surface. Archive Applied Mechanics 69 1 (1999) 55-67
15. Lieb M., and Sudret B. A fast algorithm for soil dynamics calculations by wavelet decomposition. Archive Applied Mechanics 68 (1998) 147-157
16. Hung H.H., and Yang Y.B. Elastic waves in visco-elastic half-space generated by various vehicle loads. Soil Dynamics and Earthquake Engineering 21 (2001) 1-17
17. Andersen L., Nielsen S.R.K., and Krenk S. Numerical methods for analysis of structure and ground vibration from moving loads. Computers and Structures 85 (2007) 43-58
18. Bierer T., and Bode C. A semi-analytical model in time domain for moving loads. Soil Dynamic and Earthquake Engineering 27 (2007) 1073-1081
19. Martínez-Castro A.E., Museros P., and Castillo-Linares A. Semi-analytic solution in the time domain for non-uniform multi-span Bernoulli-Euler beams traversed by moving loads. Journal of Sound and Vibration 294 (2006) 278-297
20. Cai Y.Q., Sun H.L., and Xu C.J. Steady state responses of poroelastic half-space soil medium to a moving rectangular load. International Journal of Solids and Structures 44 (2007) 7183-7196
21. Zhou H.F., and Jiang J.Q. Dynamics responses of viscoelastic half-space under moving loads. Chinese Journal of Theoretical and Applied Mechanics 39 4 (2007) 545-553 (in Chinese)
22. Cao Y.M., and Xia H. Analysis of Green's functions in wavenumber-frequency domain for surface displacements of elastic layered half-space soil. Chinese Journal of Computer Mechanics 25 6 (2008) 283-288 (in Chinese)
23. Yang Y.B., Hung H.H., and Chang D.W. Train-induced wave propagation in layered soils using finite/infinite element simulation. Soil Dynamics and Earthquake Engineering 23 (2003) 263-278