Chattering as a singular problem

AKHMET M., Cag S.

NONLINEAR DYNAMICS, vol.90, no.4, pp.2797-2812, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 90 Issue: 4
  • Publication Date: 2017
  • Doi Number: 10.1007/s11071-017-3840-3
  • Journal Name: NONLINEAR DYNAMICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2797-2812
  • Keywords: Singularity in impact moments, Chattering, Singular perturbation, PERTURBED SYSTEMS, EXPONENTIAL STABILITY, NONLINEAR DYNAMICS, OSCILLATOR, BEHAVIOR, SLOW
  • Middle East Technical University Affiliated: Yes

Abstract

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.