ISSN: 2475-4811 (print)
ISSN: 2475-482X (online)
Journal of Vibration Testing and System Dynamics

C. Steve Suh (editor), Pawel Olejnik (editor),

Xianguo Tuo (editor)

Pawel Olejnik (editor)

Lodz University of Technology, Poland

Email: pawel.olejnik@p.lodz.pl

C. Steve Suh (editor)

Texas A&M University, USA

Email: ssuh@tamu.edu

Xiangguo Tuo (editor)

Sichuan University of Science and Engineering, China

Email: tuoxianguo@suse.edu.cn

Analysis of an Undamped Mass-Spring System with Generalized Piecewise Constant Argument

Journal of Vibration Testing and System Dynamics 7(4) (2023) 419--429 | 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

Abstract

In this study, we consider an undamped mass-spring system that experiences piecewise constant forces and analyze the solutions of this system. We investigate the solutions of undamped mass-spring 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 mass-spring 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 2247-A National Leading Researchers Program of TÜBİTAK (The Scientific and Technological Research Council of Turkey), Turkey, N 120A138.

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