Chattering as a singular problem

Date

2017-12-01

Author

Akhmet, Marat

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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

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Citation Formats

M. Akhmet, “Chattering as a singular problem,” NONLINEAR DYNAMICS, pp. 2797–2812, 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46875.