Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)

Free Mechanical Vibrations Models via p-fuzzy Systems

Authors
Laécio C. Barros, Daniel Sanchez, Rodolfo Lobo, Estevão Esmi
Corresponding Author
Laécio C. Barros
Available Online August 2019.
DOI
https://doi.org/10.2991/eusflat-19.2019.87How to use a DOI?
Keywords
Free mechanical vibrations fuzzy numbers Mamdani fuzzy controller p-fuzzy systems
Abstract

In this work, we use a Mamdani fuzzy controller based on fuzzy rules that represent position and velocity of a particle for a free mechanical vibration model. Here, we focus on three major cases: the harmonic oscillator, the damped vibration, and the negative damping case. This study combines classical numerical methods for ordinary differential equations and fuzzy rule-based systems to describe the dynamical interaction between the position and velocity. In this regard, we propose a p-fuzzy system to study this phenomenon. Computational simulations reveal that the solution of the proposed p-fuzzy system is similar to the corresponding analytic solution of the classical free mechanical vibration problems.

Copyright
© 2019, 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/).

Download article (PDF)

Volume Title
Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)
Series
Atlantis Studies in Uncertainty Modelling
Publication Date
August 2019
ISBN
978-94-6252-770-6
ISSN
2589-6644
DOI
https://doi.org/10.2991/eusflat-19.2019.87How to use a DOI?
Copyright
© 2019, 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/).

Cite this article

TY  - CONF
AU  - Laécio C. Barros
AU  - Daniel Sanchez
AU  - Rodolfo Lobo
AU  - Estevão Esmi
PY  - 2019/08
DA  - 2019/08
TI  - Free Mechanical Vibrations Models via p-fuzzy Systems
BT  - Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)
PB  - Atlantis Press
SP  - 627
EP  - 633
SN  - 2589-6644
UR  - https://doi.org/10.2991/eusflat-19.2019.87
DO  - https://doi.org/10.2991/eusflat-19.2019.87
ID  - Barros2019/08
ER  -