10.1186/2251-7235-7-38

Determination of the amplitude-frequency for strongly nonlinear oscillator by two approximate analytical techniques

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  • OICC Press Authors*1,
  1. Various OICC Press Authors

Published in Issue 2023-11-17

How to Cite

1.
Press Authors O. Determination of the amplitude-frequency for strongly nonlinear oscillator by two approximate analytical techniques. J Theor Appl phys. 2023 Nov. 17;7(1). Available from: https://oiccpress.com/jtap/article/view/2095
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Abstract

AbstractIn this paper, we investigate two of the analytical approximate techniques, energy balance method and amplitude-frequency formulation, and these approximate techniques are applied to solve the strongly nonlinear differential equation of a mass attached to the center of a stretched elastic wire. We present a comparative study between the energy balance method and amplitude-frequency formulation with exact solution. The approximate results reveal that these methods are very effective and convenient for determining the frequencies of nonlinear dynamical systems.

Keywords

  • Amplitude,
  • Energy balance method,
  • Exact solution,
  • Frequency formulation,
  • Nonlinear differential equation,
  • Nonlinear oscillator
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