Analytical solution of strongly nonlinear Duffing oscillators

Article English OPEN
A.M. El-Naggar ; G.M. Ismail (2016)
  • Publisher: Elsevier
  • Journal: Alexandria Engineering Journal, volume 55, issue 2, pages 1,581-1,585 (issn: 1110-0168)
  • Related identifiers: doi: 10.1016/j.aej.2015.07.017
  • Subject: Materials Science, Textiles | Engineering(all) | Computer Science, Interdisciplinary Applications | Analytical solution | Engineering (General). Civil engineering (General) | Strongly nonlinear Duffing oscillators | Perturbation technique | Engineering, Mechanical | Engineering, Electrical & Electronic | TA1-2040 | Physics, Applied | Engineering, Civil | Engineering, Chemical | Engineering, Environmental | Physics, Nuclear | Engineering, Marine | Architecture

In this paper, a new perturbation technique is employed to solve strongly nonlinear Duffing oscillators, in which a new parameter α=α(ε)α=α(ε) is defined such that the value of α is always small regardless of the magnitude of the original parameter εε. Therefore, the st... View more
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