Synchronization of two couple pendula in absence of escapement
Mathematical Physics
2016-02-23 v1 math.MP
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.
Keywords
Cite
@article{arxiv.1602.06382,
title = {Synchronization of two couple pendula in absence of escapement},
author = {F Talamucci},
journal= {arXiv preprint arXiv:1602.06382},
year = {2016}
}
Comments
16 pages, 4 figures