PERTURBATION SOLUTIONS OF FIFTH ORDER OSCILLATORY NONLINEAR SYSTEM WITH DAMPING EFFECTS

Main Article Content

HARUN-OR- ROSHID
M. ZULFIKAR ALI

Abstract

Nonlinear phenomena related to engineering problems arise in the nature of fifth degrees of freedom are oscillatory. The governing equations of such problems are fifth order nonlinear differential systems with damping effects. In this article the Krylov-Bogoliubov-Mitropolskii (KBM) method has been extended to obtain the solution of fifth order weakly nonlinear oscillatory systems with damping effect and preferred result has been achieved. An example is agreed to illustrate the implementation of the presented method. The first order analytical approximate solutions obtained by the method illustrate a good agreement with those obtained via numerical method for the several damping effects.

Keywords:
Non-linearity, oscillatory systems, damp, perturbation, eigenvalues

Article Details

How to Cite
ROSHID, H.-O.-, & ALI, M. Z. (2020). PERTURBATION SOLUTIONS OF FIFTH ORDER OSCILLATORY NONLINEAR SYSTEM WITH DAMPING EFFECTS. Asian Journal of Mathematics and Computer Research, 27(2), 8-20. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/5110
Section
Original Research Article

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