Engineering Mechanics

Proceedings Vol. 21 (2015)

ENGINEERING MECHANICS 2015

21st INTERNATIONAL CONFERENCE
May 11 – 14, 2015, Svratka, Czech Republic

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Editors: Jiří Náprstek and Cyril Fischer

ISBN 978-80-86246-42-0 (printed, Extended Abstracts)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

Response of a Non-Linearly Damped Duffing Oscillator Including Non-Linear Restoring Force by Using a Variational Approach

A. Guran
pages 74 - 75, full text

In this paper, we proposed to use approximation methods for solving undamped nonlinear Duffing’s equation including nonlinear restoring forces. The purpose is the application of variational approach and parameterized perturbation method to gain the natural frequency and response of the system in a class of Duffing’s oscillators. It is shown the variational approach is an explicit method with high validity for the solution of strongly nonlinear oscillatory systems.

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Engineering Mechanics

International Conference

Proceedings Vol. 21 (2015)

ENGINEERING MECHANICS 2015