Journal of Vibration Testing and System Dynamics
Analysis of an Undamped MassSpring System with Generalized Piecewise Constant Argument
Journal of Vibration Testing and System Dynamics 7(4) (2023) 419429  DOI:10.5890/JVTSD.2023.12.002
Marat Akhmet$^1$, Duygu Aruğaslan Çinçin$^2$, Zekeriya Özkan$^3$
$^1$ Department of Mathematics, Middle East Technical University, Ankara, 06800, Turkey
$^2$ Department of Mathematics, Süleyman Demirel University, Isparta, 32260, Turkey
$^3$ Ortaköy Vocational School, Aksaray University, Aksaray, 68400, Turkey
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Abstract
In this study, we consider an undamped massspring system that experiences piecewise constant forces and analyze the solutions of this system. We investigate the solutions of undamped massspring system by using the method of steps. In addition to investigating the solutions, stability and convergency analyses are performed for the solutions of nonhomogeneous undamped massspring system. The results are stated in terms of the parameters of the systems. Simulations are given to illustrate and support the findings for different values of the parameters.
Acknowledgments
M. Akhmet has been supported by 2247A National Leading Researchers
Program of TÜBİTAK (The Scientific and Technological Research Council of Turkey), Turkey, N
120A138.
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