NEURO-FUZZY MODAL CONTROL OF SMART LAMINATED COMPOSITE STRUCTURES MODELED VIA MIXED THEORY AND HIGH-ORDER SHEAR DEFORMATION THEORY

JOANA PEREIRA REPINALDO; ALBERT WILLIAN FARIA; RODRIGO ALVES E SILVA; EDSON HIDEKI KOROISHI; FABIAN ANDRES LARA MOLINA

doi:10.1590/1679-78255873

NEURO-FUZZY MODAL CONTROL OF SMART LAMINATED COMPOSITE STRUCTURES MODELED VIA MIXED THEORY AND HIGH-ORDER SHEAR DEFORMATION THEORY

Authors

JOANA PEREIRA REPINALDO DEPARTAMENTO DE ENGENHARIA MECÂNICA, UNIVERSIDADE TECNOLÓGICA FEDERAL DO PARANÁ (UTFPR), CORNÉLIO PROCÓPIO-PR, BRASIL HTTPS://ORCID.ORG/0000-0003-2380-1858
ALBERT WILLIAN FARIA DEPARTAMENTO DE ENGENHARIA CIVIL, UNIVERSIDADE FEDERAL DO TRIÂNGULO MINEIRO (UFTM), UBERABA-MG, BRASIL HTTPS://ORCID.ORG/0000-0002-4394-3290
RODRIGO ALVES E SILVA GEOENGINEERING CENTRE AT QUEENS-RMC, QUEENS UNIVERSITY, KINGSTON, ON, CANADA HTTPS://ORCID.ORG/0000-0001-9395-1224
EDSON HIDEKI KOROISHI DEPARTAMENTO DE ENGENHARIA MECÂNICA, UNIVERSIDADE TECNOLÓGICA FEDERAL DO PARANÁ (UTFPR), CORNÉLIO PROCÓPIO-PR, BRASIL HTTPS://ORCID.ORG/0000-0001-7690-1022
FABIAN ANDRES LARA MOLINA DEPARTAMENTO DE ENGENHARIA MECÂNICA, UNIVERSIDADE TECNOLÓGICA FEDERAL DO PARANÁ (UTFPR), CORNÉLIO PROCÓPIO-PR, BRASIL HTTPS://ORCID.ORG/0000-0002-5863-2356

DOI:

https://doi.org/10.1590/1679-78255873

Abstract

IN THIS PAPER, THE ACTIVE MODAL CONTROL USING THE LINEAR QUADRATIC REGULATOR APPROACH (LQR) SOLVED BY LINEAR MATRIX INEQUALITIES (LMI) AND THE NEURO-FUZZY CONTROL ARE PROPOSED AND APPLIED TO THE CONTROL OF VIBRATIONS IN SMART LAMINATED COMPOSITE STRUCTURES. SMART STRUCTURES HAVE BEEN WIDELY EMPLOYED IN ADVANCED CONTROL SYSTEMS OF SHAPE AND VIBRATIONS. AN EXTENSIVE RESEARCH EFFORT IS PARTICULARLY BEING UNDERTAKEN TO THE DEVELOPMENT OF NUMERICAL TOOLS FOR THE ANALYSIS AND DESIGN OF LAMINATED COMPOSITE STRUCTURES COMBINED WITH PIEZOELECTRIC MATERIALS. IN THIS CONTEXT, FINITE ELEMENT METHOD (FEM) POSES AS A SUBSTANTIAL INSTRUMENT FOR THE NUMERICAL ANALYSIS OF SUCH STRUCTURES. THIS STUDY PRESENTS THE MAIN THEORY APPLIED TOWARDS THE FORMULATION OF THICK SMART LAMINATED COMPOSITE STRUCTURES GENERATED FROM LAMINATED PLATES AND PIEZOELECTRIC ELEMENTS ACTING AS SENSORS AND/OR ACTUATORS: HIGH-ORDER SHEAR DEFORMATION THEORY (HSDT), WHICH DISTINGUISHES FROM OTHER THEORIES BY THE ORDER OF APPROXIMATION FUNCTIONS USED IN THE FORMULATIONS OF MECHANICAL DISPLACEMENT APPROXIMATIONS. THE MIXED THEORY ADOPTS A SINGLE LAYER WHEN REPRESENTING THE MECHANICAL DISPLACEMENT FIELD, THROUGH HSDT THEORY, AND MULTIPLE LAYERS (LAYERWISE) FOR THE ELECTRICAL DEGREES OF FREEDOM. THE MIXED THEORY IS COMPUTATIONALLY IMPLEMENTED IN THE MATLAB® PROGRAMMING PLATFORM USING A PLATE-TYPE ELEMENT CALLED SERENDIPITY, WITH 8 NODES, AND THE NUMERICAL RESULTS OBTAINED FROM DIFFERENT LAMINATED COMPOSITE STRUCTURES ARE COMPARED TO THOSE AVAILABLE FROM THE SCIENTIFIC LITERATURE. THE PERFORMANCE OF THE CONTROLLER IS NUMERICALLY EVALUATED, VALIDATING THE EFFECTIVENESS OF THE PRESENTLY PROPOSED CONTROL APPROACH.

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Published

2020-02-20 — Updated on 2020-02-20

Issue

Vol. 17 No. 2 (2020)

Section

Articles

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