Research Article Open Access

The Role of Sine and Cosine Components in Love Waves and Rayleigh Waves for Energy Hauling during Earthquake

Zainal Abdul Aziz1 and Dennis Ling Chuan Ching1
  • 1 Department of Mathematics, Faculty of Science, University Technology Malaysia, 81310 Johor, Malaysia

Abstract

Problem statement: Love waves or shear waves are referred to dispersive SH waves. The diffusive parameters are found to produce complex amplitude and diffusive waves for energy hauling. Approach: Analytical solutions are found for analysis and discussions. Results: When the standing waves are compared with the Love waves, similar cosine component is found in both waves. Energy hauling between waves is impossible for Love waves if the cosine component is independent. In the view of 3D particle motion, the sine component of the Rayleigh waves will interfere with shear waves and thus the energy hauling capability of shear waves are formed for generating directed dislocations. Nevertheless, the cnoidal waves with low elliptic parameter are shown to act analogous to Rayleigh waves. Conclusion: Love waves or Rayleigh waves are unable to propagate energy once the sine component does not exist.

American Journal of Applied Sciences
Volume 7 No. 12, 2010, 1550-1557

DOI: https://doi.org/10.3844/ajassp.2010.1550.1557

Submitted On: 29 November 2010 Published On: 31 December 2010

How to Cite: Aziz, Z. A. & Ching, D. L. C. (2010). The Role of Sine and Cosine Components in Love Waves and Rayleigh Waves for Energy Hauling during Earthquake. American Journal of Applied Sciences, 7(12), 1550-1557. https://doi.org/10.3844/ajassp.2010.1550.1557

  • 3,340 Views
  • 3,766 Downloads
  • 1 Citations

Download

Keywords

  • Energy hauling
  • sine and cosine
  • amplitude
  • love waves
  • Rayleigh waves
  • Cnoidal waves
  • earthquake
  • phase velocity
  • periodic
  • isotropic medium
  • illustrated
  • anisotropic