Chattering as a singular problem

AKHMET M. , Cag S.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 90 Konu: 4
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s11071-017-3840-3
  • Sayfa Sayıları: ss.2797-2812


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.