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Dynamics of Periodic Impulsive Collision in Escapement Mechanism

Jian Mao, Yu Fu, Peichao Li
2013 Shock and Vibration  
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.
more » ... f the system. Numerical examples are given and the results show that the model is highly accurate in describing/predicting their dynamics.
doi:10.1155/2013/350429 fatcat:zaxone4o6fha3okzqlouigrwx4