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

Date

2023-01-01

Author

Akhmet, Marat
Çinçin, Duygu Aruğaslan
Özkan, Zekeriya

Metadata

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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.

Subject Keywords

argument, Generalized piecewise constant, Initial value problem, linear differential equation, Mass-spring system, Nonhomogeneous second order, Simulation, Stability

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85170672776&origin=inward
https://hdl.handle.net/11511/105780

Journal

Journal of Vibration Testing and System Dynamics

DOI

https://doi.org/10.5890/jvtsd.2023.12.002

Collections

Department of Mathematics, Article

Citation Formats

M. Akhmet, D. A. Çinçin, and Z. Özkan, “Analysis of an Undamped Mass-Spring System with Generalized Piecewise Constant Argument,” Journal of Vibration Testing and System Dynamics, vol. 7, no. 4, pp. 419–429, 2023, Accessed: 00, 2023. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85170672776&origin=inward.