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, cilt.7, sa.4, ss.419-429, 2023 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 4
  • Basım Tarihi: 2023
  • Doi Numarası: 10.5890/jvtsd.2023.12.002
  • Dergi Adı: Journal of Vibration Testing and System Dynamics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.419-429
  • Anahtar Kelimeler: argument, Generalized piecewise constant, Initial value problem, linear differential equation, Mass-spring system, Nonhomogeneous second order, Simulation, Stability
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.