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Chattering as a singular problem

delete2017-10-09
delete6
PRE
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M
Marat Akhmet *
S
Sabahattin Çağ
DOI:10.1007/s11071-017-3840-3delete
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摘要

摘要

En 中文
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.
Keyword:
Singularity in impact moments
Chattering
Singular perturbation
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期刊

Nonlinear Dynamics 封面图
Nonlinear Dynamics
IF:
6
论文数:
1.4W
被引数:
4.1W

机构

M
Middle East Technical University
学者数:
7.4K
论文数: 6.7K
被引数: 6.3K
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