A Symbolic Method for the Analysis of a Nonlinear Two-Mass-Skate Model
Classical Physics
2016-11-24 v1
Abstract
Multibody systems usually give rise to complex nonlinear dynamics, and the bicycle is not an exception. Even a simple model as the Two-Mass-Skate presents a long expression of the kinetic energy, making difficult to write explicitly the equations of motion. Instead of linearising or approximating the model, we will overcome this issue by using a functional expression of the kinetic energy. With introduction of appropriate nonlinear functions, the equations of motion are written in a form that can be easily handled despite their complexity. A stability analysis of the dynamics is then conducted.
Keywords
Cite
@article{arxiv.1611.07796,
title = {A Symbolic Method for the Analysis of a Nonlinear Two-Mass-Skate Model},
author = {Francesco Ricci and Giovanni Frosali},
journal= {arXiv preprint arXiv:1611.07796},
year = {2016}
}