A generalization of the Senator-Bapat method for certain strongly nonlinear oscillators

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)164-169
Journal / PublicationPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume341
Issue number1-4
Publication statusPublished - 20 Jun 2005

Abstract

By generalizing the Senator-Bapat's perturbation technique and using a new method to consider the inclusion of an optimal linear spring term, we establish approximate periodic solutions of nonlinear oscillations of conservative single-degree-of-freedom systems with odd nonlinearity. These approximate solutions are valid for small as well as large amplitudes of oscillation. © 2005 Elsevier B.V. All rights reserved.

Research Area(s)

  • Optimal linear spring, Oscillation, Perturbation technique, Strong nonlinearity