A model of two oscillating pendula placed on a mobile support is studied. Once an overall scheme of equations, under general assumptions, is formulated via the Lagrangian equations of motion, the specific case of absence of escapement is examined. The mechanical models consists of two coupled pendula both oscillating on a moving board attached to a spring. The final result performs a selection among the peculiar parameters of the physical process (lenghts, ratio of masses, friction and damping coefficients, stiffness of the spring) which provide a tendency to synchronization.
Synchronization of two coupled pendula in absence of escapement / Talamucci, F. - In: APPLIED MATHEMATICS AND MECHANICS. - ISSN 0253-4827. - STAMPA. - 37:(2016), pp. 1721-1738. [10.1007/s10483-016-2150-8]
Synchronization of two coupled pendula in absence of escapement
TALAMUCCI, FEDERICO
2016
Abstract
A model of two oscillating pendula placed on a mobile support is studied. Once an overall scheme of equations, under general assumptions, is formulated via the Lagrangian equations of motion, the specific case of absence of escapement is examined. The mechanical models consists of two coupled pendula both oscillating on a moving board attached to a spring. The final result performs a selection among the peculiar parameters of the physical process (lenghts, ratio of masses, friction and damping coefficients, stiffness of the spring) which provide a tendency to synchronization.File | Dimensione | Formato | |
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