Shock and Vibration

Shock and Vibration / 2013 / Article

Open Access

Volume 20 |Article ID 350429 | 10 pages | https://doi.org/10.3233/SAV-130800

Dynamics of Periodic Impulsive Collision in Escapement Mechanism

Received10 May 2012
Revised25 Jan 2013
Accepted13 Apr 2013

Abstract

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.

Copyright © 2013 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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