Theoretical and experimental study of the normal modes in a coupled two-dimensional system
Physics Education
2016-07-07 v2
Abstract
In this work, the normal modes of a two-dimensional oscillating system have been studied from a theoretical and experimental point of view. The normal frequencies predicted by the Hessian matrix for a coupled two-dimensional particle system are compared to those obtained for a real system consisting of two oscillating smartphones coupled one to the other by springs. Experiments are performed on an air table in order to remove the friction forces. The oscillation data are captured by the acceleration sensor of the smartphones and exported to file for further analysis. The experimental frequencies compare reasonably well with the theoretical predictions, namely, within 1.7 % of discrepancy.
Cite
@article{arxiv.1605.01372,
title = {Theoretical and experimental study of the normal modes in a coupled two-dimensional system},
author = {Marcos H. Giménez and Juan Carlos Castro-Palacio and José Antonio Gómez-Tejedor and Luisberis Velazquez and Juan A. Monsoriu},
journal= {arXiv preprint arXiv:1605.01372},
year = {2016}
}