Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-24T00:23:35.866Z Has data issue: false hasContentIssue false
  • English
  • Français

Solutions for Triangularly Distributed Harmonic Loadings on Axially Symmetric Area in Layered Half-Space

Published online by Cambridge University Press:  15 July 2015

G.-S. Liou
G.-S. Liou*
Affiliation:
Department of Civil Engineering, National Chiao-Tung University, Hsinchu, Taiwan
*
*Corresponding author ([email protected])
Get access

Abstract

The paper is to solve the problem of the response of stratified half-space subjected to triangularly distributed time-harmonic loadings on an axial symmetric area in the stratified half-space. Since the distributed area can be very small, the solution can be employed to deal with the problems of elastodynamics using the fundamental solution method. The advantage of the presented solution over Green function is that no singularity will occur in the presented solution. Some numerical results are given and some conclusions have been made. The presented solution is very efficient in computation.

Keywords

Wave propagationFundamental solutionGreen function
Type
Research Article
Information
Journal of Mechanics , Volume 31 , Issue 6 , December 2015 , pp. 631 - 638
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2015 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Woods, R. D. and Jedele, L. P., “Energy-Attenuation Relationships from Construction Vibrations,” Proceedings of Vibration Problems in Geotechnical Engineering Convention, Detroit, Michigan, pp. 229–246 (1985).Google Scholar
2.Sheng, X., Jones, C. J. C., and Petyt, M., “Ground Vibration Generated by a Load Moving Along a Railway Track,” Journal of Sound and Vibration, 228, pp. 129–156 (1999).Google Scholar
3.Krylov, V. V., “Vibrational Impact of High-Speed Trains. I. Effect of Track Dynamics,” Journal of the Acoustical Society of America, 100, pp. 3121–3134 (1996).Google Scholar
4.Kaynia, A. M., Madshus, C. and Zackrisson, P., “Ground Vibration from High-Speed Trains: Prediction and Countermeasure,” Journal of Geotechnical and Geoenvironmental Engineering, 126, pp. 0531–0573 (2000).Google Scholar
5.Anders, Karlstrom, “An Analytical Model for Ground Vibrations from Accelerating Trains,” Journal of Sound and Vibration, 293, pp. 587–598 (2006).Google Scholar
6.Apsel, R. J. and Luco, J. E., “On the Green’s Functions for a Layered Half-Space, Part II,” Bulletin of Seismo-logical Society of America, 73, pp. 931–951 (1983).CrossRefGoogle Scholar
7.Vostroukhov, A. V., Verichev, S. N., Kok, A. W. M., and Esveld, C., “Steady-State Response of a Stratified Half-Space Subjected to a Horizontal Arbitrary Buried Uniform Load Appied at a Circular Area,” Soil Dynamics and Earthquake Engineering, 24, pp. 449–459 (2004).Google Scholar
8.Kausel, E. and Peek, R., “Dynamic Loads in the Interior of a Layered Stratum: An Explicit Solution,” Bulletin of the Seismological Society of America, 72, pp. 1459–1481 (1982).Google Scholar
9.Liou, G.-S., “Analytical Solutions for Soil-Structure Interaction in Layered Media,” Journal of Earthquake Engineering and Structural Dynamics, 18, pp. 667–686 (1989).Google Scholar
10.Liou, G.-S., “Vibrations Induced by Harmonic Loadings Applied at Circular Rigid Plate on HalfSpace Medium,” Journal of Sound and Vibration, 323, pp. 257–269 (2009).Google Scholar
11.Liou, G.-S., “Vibrations Induced by Harmonic Loadings Applied at Circular Plate on Layered Medium,” Journal of Mechanics, 29, pp. 197–206 (2013).CrossRefGoogle Scholar