Approximate Solution of Strongly Forced Nonlinear Vibrating Systems Which Vary With Time

admin October 24, 2018

Authors:

Pinakee dey,Nasir Uddin,Md Asaduzzaman,Sanjay kumar saha,M. A. Sattar,

DOI NO:

https://doi.org/10.26782/jmcms.2018.10.00001

Keywords:

Asymptotic solution,Forced nonlinear oscillation, Varying coefficient,Unperturbed equation, KBM method, HB method,

Abstract

Based on the combined work of extended Krylov-Bogoliubov-Mitropolskii method and harmonic balance (HB) method an analytical technique is presented to determine approximate solutions of nonlinear differential systems whose coefficients change slowly and periodically with time. Furthermore, a non-autonomous case also investigated in which an external force acts in this system. Formulation as well as determination of the solution is systematic and easier than the existing procedures. The method is illustrated by suitable examples.

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Author(s): Pinakee dey, Nasir Uddin, Md Asaduzzaman, Sanjay kumar saha, M. A. Sattar View Download