Chattering as a singular problem

AKHMET M., Cag S.

NONLINEAR DYNAMICS, cilt.90, sa.4, ss.2797-2812, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 90 Sayı: 4
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s11071-017-3840-3
  • Dergi Adı: NONLINEAR DYNAMICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2797-2812
  • Anahtar Kelimeler: Singularity in impact moments, Chattering, Singular perturbation, PERTURBED SYSTEMS, EXPONENTIAL STABILITY, NONLINEAR DYNAMICS, OSCILLATOR, BEHAVIOR, SLOW
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

This paper presents the chattering through the singularity point of view for the first time. The main novelty of this article is that impact moments are considered as a singularity phenomenon. A bouncing ball, an inverted pendulum and a hydraulic relief valve models are considered for the study. Moreover, the behavior of solutions of a spring-mass system is studied for the small mass. Simulations are given to support the theoretical analysis.