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Chattering as a singular problem
Date
2017-12-01
Author
Akhmet, Marat
Cag, Sabahattin
Metadata
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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.
Subject Keywords
Singularity in impact moments
,
Chattering
,
Singular perturbation
URI
https://hdl.handle.net/11511/46875
Journal
NONLINEAR DYNAMICS
DOI
https://doi.org/10.1007/s11071-017-3840-3
Collections
Department of Mathematics, Article