Dynamics of Periodic Impulsive Collision in Escapement Mechanism

Dynamics of Periodic Impulsive Collision in Escapement Mechanism

Among various non-smooth dynamic systems, the periodically forced oscillation system with impact is perhaps the most common in engineering applications. The dynamical study becomes complicated due to the impact. This paper presents a systematic study on the periodically forced oscillation system wit...

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Main Authors: Jian Mao, Yu Fu, Peichao Li
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.3233/SAV-130800
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spelling doaj-0ea4a3389fe6492397b765a17d068d3a2020-11-25T00:54:07ZengHindawi LimitedShock and Vibration1070-96221875-92032013-01-012051001101010.3233/SAV-130800Dynamics of Periodic Impulsive Collision in Escapement MechanismJian Mao0Yu Fu1Peichao Li2Shanghai University of Engineering Science, Shanghai, ChinaTianjin Seagull Watch Co. Ltd, Tianjin, ChinaShanghai University of Engineering Science, Shanghai, ChinaAmong various non-smooth dynamic systems, the periodically forced oscillation system with impact is perhaps the most common in engineering applications. The dynamical study becomes complicated due to the impact. This paper presents a systematic study on the periodically forced oscillation system with impact. A simplified model of the escapement mechanism is introduced. Impulsive differential equation and Poincare map are applied to describe the model and study the stability of the system. Numerical examples are given and the results show that the model is highly accurate in describing/predicting their dynamics.http://dx.doi.org/10.3233/SAV-130800
collection DOAJ
language English
format Article
sources DOAJ
author Jian Mao
Yu Fu
Peichao Li
spellingShingle Jian Mao
Yu Fu
Peichao Li
Dynamics of Periodic Impulsive Collision in Escapement Mechanism
Shock and Vibration
author_facet Jian Mao
Yu Fu
Peichao Li
author_sort Jian Mao
title Dynamics of Periodic Impulsive Collision in Escapement Mechanism
title_short Dynamics of Periodic Impulsive Collision in Escapement Mechanism
title_full Dynamics of Periodic Impulsive Collision in Escapement Mechanism
title_fullStr Dynamics of Periodic Impulsive Collision in Escapement Mechanism
title_full_unstemmed Dynamics of Periodic Impulsive Collision in Escapement Mechanism
title_sort dynamics of periodic impulsive collision in escapement mechanism
publisher Hindawi Limited
series Shock and Vibration
issn 1070-9622
1875-9203
publishDate 2013-01-01
description Among various non-smooth dynamic systems, the periodically forced oscillation system with impact is perhaps the most common in engineering applications. The dynamical study becomes complicated due to the impact. This paper presents a systematic study on the periodically forced oscillation system with impact. A simplified model of the escapement mechanism is introduced. Impulsive differential equation and Poincare map are applied to describe the model and study the stability of the system. Numerical examples are given and the results show that the model is highly accurate in describing/predicting their dynamics.
url http://dx.doi.org/10.3233/SAV-130800
work_keys_str_mv AT jianmao dynamicsofperiodicimpulsivecollisioninescapementmechanism
AT yufu dynamicsofperiodicimpulsivecollisioninescapementmechanism
AT peichaoli dynamicsofperiodicimpulsivecollisioninescapementmechanism
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