The Role of Sine and Cosine Components in Love Waves and Rayleigh Waves for Energy Hauling during Earthquake
- 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.
DOI: https://doi.org/10.3844/ajassp.2010.1550.1557
Copyright: © 2010 Zainal Abdul Aziz and Dennis Ling Chuan Ching. This is an open access article distributed under the terms of the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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Keywords
- Energy hauling
- sine and cosine
- amplitude
- love waves
- Rayleigh waves
- Cnoidal waves
- earthquake
- phase velocity
- periodic
- isotropic medium
- illustrated
- anisotropic