Chattering as a singular problem

Date

2017-12-01

Author

Akhmet, Marat
Cag, Sabahattin

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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

Collections

Department of Mathematics, Article