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. |
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| Other Authors: | Bernstein, Dennis., Nersesov, Sergey., Haddad, Wassim., Chellaboina, VijaySekhar. |
| Format: | |
| Language: | English |
| Published: |
2001
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| Online Access: |
http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:178316 |