Oscillation time and damping coefficients in a nonlinear pendulum
Classical Analysis and ODEs
2021-06-28 v2 Analysis of PDEs
Abstract
We establish a relationship between the normalized damping coefficients and the time that takes a nonlinear pendulum to complete one oscillation starting from an initial position with vanishing velocity. We establish some conditions on the nonlinear restitution force so that this oscillation time does not depend monotonically on the viscosity damping coefficient.
Keywords
Cite
@article{arxiv.2101.09400,
title = {Oscillation time and damping coefficients in a nonlinear pendulum},
author = {Jaime Arango},
journal= {arXiv preprint arXiv:2101.09400},
year = {2021}
}
Comments
This paper is dedicated to the memory of Prof. Alan Lazer (1938-2020), University of Miami