Open AccessMotion equations of a pendulum gear system
Author(s) -
P. Díaz,
Ana Teresa Gutiérrez del Cid,
J Granados,
Antonio Velazquez,
J. A. Velázquez
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1723/1/012065
Subject(s) - rod , motion (physics) , computer science , pendulum , differential equation , work (physics) , scroll , algorithm , physics , mathematics , mathematical analysis , mechanical engineering , artificial intelligence , engineering , medicine , alternative medicine , pathology
This work presents a dynamic system that is composed of gears which have an angular velocity θ ˙ . Each of the gears was added a rod of known length and mass which can move freely. This system can move in such a way that the rods oscillate as the gears rotate. With the Lagrangiana formulation, the motion equations that govern the system were built, differential equations were solved with standardized numerical methods and graphs were obtained in different phase spaces.