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Research Article Open access CC BY 4.0

An Asymptotic Method for Over-damped Forced Nonlinear Vibration Systems with Slowly Varying Coefficients

Pinakee Dey, Nasir Uddin, Md. Mahmud Alam

Journal of Advances in Mathematics and Computer Science · pp. 1–8 · Published 8 Mar 2016

10.9734/BJMCS/2016/24531

Abstract

A technique is presented for obtaining an asymptotic solution of over damped nonlinear forced vibrating systems by general Struble’s technique and extended KBM method with varying coefficients. The implementation of the presented method is illustrated by an example. The first order analytical approximate solutions obtained by the method for different initial conditions show a good agreement with those obtains by numerical method.

Non-autonomous nonlinear system over damped vibrating system varying coefficient perturbed equation external force

Cited by 2

APPROXIMATE DYNAMICAL ANALYSIS OF DAMPED NONLINEAR MECHANICAL SYSTEMS WITH TIME-VARYING PARAMETERS USING HYBRID ANALYTICAL METHODS

Ramjan Ali Akanda, Nasrin Nahar Rimu, Md. Antajul Islam · Turkish Journal of Computer and Mathematics Education · 2026

AN ANALYTICAL APPROACH TO THE NON-OSCILLATORY NONLINEAR MECHANICAL SYSTEMS HAVING INTEGRAL MULTIPLE ROOTS AND STRONG NON-LINEARITY

Nasir Uddin · JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES · 2024

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