Dynamics of an inverted pendulum with two concentrated masses

DOI

10.2991/iceep-18.2018.201How to use a DOI?

Keywords

inverted pendulum; stability chart; perturbation method; Mathieu equation

Abstract

In this paper, we investigate the dynamics of an inverted pendulum with two concentrated masses. The perturbation method is used to find the transition curves. We emphasize the difference between the case of two concentrated masses and that of one concentrated mass. Numerical simulations are carried out to demonstrate the influence of the distribution of mass of the pendulum on the stability of the inverted pendulum. Our research shows that in some cases the inverted pendulum with two concentrated masses has to be considered to analyze the stability. It may be error if the inverted pendulum with one concentrated mass is used to find the transition curves and corresponding periodic solutions.

Copyright

© 2018, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Bin Zhen
AU  - Zhenyu Fu
AU  - Liang Chang
PY  - 2018/09
DA  - 2018/09
TI  - Dynamics of an inverted pendulum with two concentrated masses
BT  - Proceedings of the 2018 7th International Conference on Energy and Environmental Protection (ICEEP 2018)
PB  - Atlantis Press
SP  - 1143
EP  - 1147
SN  - 2352-5401
UR  - https://doi.org/10.2991/iceep-18.2018.201
DO  - 10.2991/iceep-18.2018.201
ID  - Zhen2018/09
ER  -