Free Mechanical Vibrations Models via p-fuzzy Systems

Autor(es)

de Barros, Laecio Carvalho ; Eduardo Sanchez, Daniel ; Lobo, Rodolfo Anibal ; Esmi, Estevao ; Novak, V ; Marik, V ; Stepnicka, M ; Navara, M ; Hurtik, P

• Tipo de documento: Artigo Científico
• Fonte: PROCEEDINGS OF THE 11TH CONFERENCE OF THE EUROPEAN SOCIETY FOR FUZZY LOGIC AND TECHNOLOGY (EUSFLAT 2019); v. 1, p. 7-pg., 2019-01-01.

Resumo

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. (AU)

• Processo FAPESP: 18/10946-2 - The 13th International FLINS Conference on Data Science and Knowledge Engineering for Sensing Decision Support
• Beneficiário: Laécio Carvalho de Barros
• Modalidade de apoio: Auxílio à Pesquisa - Reunião - Exterior
• Processo FAPESP: 16/26040-7 - Cálculo diferencial e integral baseado aritmética de números fuzzy interativos
• Beneficiário: Estevão Esmi Laureano
• Modalidade de apoio: Auxílio à Pesquisa - Regular