Existence of periodic solutions for a mechanical system with piecewise constant forces

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Hacettepe Journal of Mathematics and Statistics
Volume:47 Issue:3
Existence of periodic solutions for a mechanical system with piecewise constant forces

Existence of periodic solutions for a mechanical system with piecewise constant forces

Authors : Duygu ARUĞASLAN, Nur CENGİZ

Pages : 521-538

View : 57 | Download : 10

Publication Date : 2018-06-01

Article Type : Research Paper

Abstract :In this study, we consider spring-mass systems subjected to piecewise constant forces. We investigate sufficient conditions for the existence of periodic solutions of homogeneous and nonhomogeneous damped spring-mass systems with the help of the Floquet theory. In addition to determining conditions for the existence of periodic solutions, stability analysis is performed for the solutions of the homogeneous system. The Floquet multipliers are taken into account for the stability analysis [3]. The results are stated in terms of the parameters of the systems. These results are illustrated and supported by simulations for different values of the parameters.
Keywords : Generalized piecewise constant forces, spring mass system, stability and periodic solutions

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