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2012 | 121 | 1 | 47-49
Article title

Hamiltonian Approach to Multiple Coupled Nonlinear Oscillators

Content
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EN
Abstracts
EN
In this paper, Hamiltonian approach is extended to investigate coupled nonlinear multi-degree-of-freedom oscillatory systems. At the beginning of the study, basic principles of Hamiltonian approach are provided for multiple coupled oscillators. In the next section, the amplitude-frequency relation for the two-degree-of-freedom nonlinear mechanical systems is obtained via Hamiltonian approach. The natural frequency expression is compared to show the agreement between the present and published results. Additionally, the approximate and numerical periodic solutions are plotted.
Keywords
EN
Contributors
author
  • Faculty of Aeronautics and Astronautics, Istanbul Technical University, 34469 Maslak, Istanbul, Turkey
  • Faculty of Science and Letts, Istanbul Technical University, 34469 Maslak, Istanbul, Turkey
author
  • Faculty of Aeronautics and Astronautics, Istanbul Technical University, 34469 Maslak, Istanbul, Turkey
References
  • 1. L. Meirovitch, Principles and Techniques of Vibrations, Prentice Hall, New Jersey 1997
  • 2. J.H. He, Appl. Math. Comput. 135, 73 (2003)
  • 3. J.H. He, Int. J. Nonlin. Sci. Num. 9, 207 (2008)
  • 4. J.H. He, Mech. Res. Commun. 29, 107 (2002)
  • 5. S. Telli, O. Kopmaz, J. Sound Vib. 710, 689 (2006)
  • 6. S.H.A. Hashemi Kachapi, R.V. Dukkipati, S.Gh. Hashemi Kachapi, S. Mey Hashemi Kachapi, S. Meh Hashemi Kachapi, S.K. Hashemi Kachapi, Nonlinear Anal., RWA 11, 1431 (2010)
  • 7. M. Feldman, J. Sound Vib. 303, 357 (2007)
  • 8. M.O. Kaya, S. Durmaz, S. Altay Demirbag, Int. J. Nonlin Sci. Num. Sim. 11, 859 (2010)
  • 9. J.H. He, Phys. Lett. A. 374, 2312 (2010)
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv121n113kz
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