| Issue |
MATEC Web Conf.
Volume 157, 2018
Machine Modelling and Simulations 2017 (MMS 2017)
|
|
|---|---|---|
| Article Number | 08002 | |
| Number of page(s) | 7 | |
| Section | Theoretical and applied mathematics in engineering | |
| DOI | https://doi.org/10.1051/matecconf/201815708002 | |
| Published online | 14 March 2018 | |
Parametric oscillations of the mechanical systems
Department of Applied Mathematics, Faculty of Mechanical Engineering, University of Žilina, Univerzitná 1, 01026 Žilina, Slovakia
* Corresponding author: branislav.ftorek@fstroj.uniza.sk
This paper deals with an approximative solution in the analytical form of some second order linear differential equation with time depend parameters. The analytic solution is compared with the numerical solution obtained by Runge-Kutta method and the conditions of the convergence of this analytical method are discussed.
Key words: oscillations / asymptotic solution / Mathieu equation
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
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