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

AKHMET M., Çinçin D. A., Özkan Z.

Journal of Vibration Testing and System Dynamics, vol.7, no.4, pp.419-429, 2023 (Scopus) identifier

  • 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
  • Middle East Technical 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.