Asymptotic Solutions of Fourth Order Near Critically Damped Nonlinear Systems

Md. Habibur Rahman, B.M. Ikramul Haque, M. Ali Akbar

Abstract


A perturbation technique is developed in this article to solve asymptotic solutions of fourth order near critically damped nonlinear systems based on the Krylov-Bogoliubov-Mitroplskii method. The method is illustrated by an example. The results obtained by the presented technique show excellent coincidence with those obtained by numerical method.


Keywords


Perturbation technique; Asymptotic solutions; near critically damped systems

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DOI: http://dx.doi.org/10.26713%2Fjims.v1i1.10

eISSN 0975-5748; pISSN 0974-875X