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Shock and Vibration
Volume 20, Issue 5, Pages 1001-1010

Dynamics of Periodic Impulsive Collision in Escapement Mechanism

Jian Mao,1 Yu Fu,2 and Peichao Li1

1Shanghai University of Engineering Science, Shanghai, China
2Tianjin Seagull Watch Co. Ltd, Tianjin, China

Received 10 May 2012; Revised 25 January 2013; Accepted 13 April 2013

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.


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.