Dynamics of periodic impulsive collision in escapement mechanism

Article type: Research Article

Authors: Mao, Jian | Fu, Yu | Li, Peichao

Affiliations: Shanghai University of Engineering Science, Shanghai, China | Tianjin Seagull Watch Co. Ltd, Tianjin, China

Note: [] Corresponding author: Jian Mao, Shanghai University of Engineering Science, Shanghai 201620, China. E-mail: [email protected]

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.

Keywords: Periodic collision, dynamics, escapement mechanism

DOI: 10.3233/SAV-130800

Journal: Shock and Vibration, vol. 20, no. 5, pp. 1001-1010, 2013