Limit cycle analysis of the verge and foliot clock escapement using impulsive differential equations and Poincare Maps.
The verge and foliot escapement mechanism of a mechanical clock is a classical example of a feedback regulator. In this aper we analyze the dynamics of this mechanism to ungrstand its o eration from a feedback perspective. Using impulsive cherential equations and PoincarC maps to model the dynamics of this closed-loop system, we determine conditions under which the system possesses a limit cycle, and we analyze the period and amplitude of the oscillations in terms of the inertias of the colliding masses and their coefficient of restitution.
|Main Author:||Roup, Alexander.|
|Other Authors:||Bernstein, Dennis., Nersesov, Sergey., Haddad, Wassim., Chellaboina, VijaySekhar.|