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 (Scopus)
- Publication Type: Article / Article
- Volume: 7 Issue: 4
- Publication Date: 2023
- Doi Number: 10.5890/jvtsd.2023.12.002
- Journal Name: Journal of Vibration Testing and System Dynamics
- Journal Indexes: Scopus
- Page Numbers: pp.419-429
- Keywords: argument, Generalized piecewise constant, Initial value problem, linear differential equation, Mass-spring system, Nonhomogeneous second order, Simulation, Stability
- Süleyman Demirel University Affiliated: Yes
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.