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Modeling, design and experimental analysis of nonlinear periodic structures

Grant number: 19/19335-9
Support Opportunities:Scholarships in Brazil - Doctorate (Direct)
Effective date (Start): October 01, 2019
Effective date (End): August 01, 2024
Field of knowledge:Engineering - Mechanical Engineering - Mechanics of Solids
Principal Investigator:Paulo José Paupitz Gonçalves
Grantee:Jean Paulo Carneiro Junior
Host Institution: Faculdade de Engenharia (FE). Universidade Estadual Paulista (UNESP). Campus de Bauru. Bauru , SP, Brazil
Associated research grant:18/15894-0 - Periodic structure design and optimization for enhanced vibroacoustic performance: ENVIBRO, AP.TEM
Associated scholarship(s):22/09543-6 - Strategies to form a super attenuation band in a finite metastructure beam using an array of resonators, BE.EP.DD


In this research project proposal, different wave-based methods are presented as auxiliary tools in the development of an original numerical model capable of describing the dynamic behavior of nonlinear periodic structures. The increasing number of studies in the field of wave propagation and periodic structures propel the search for additional analysis techniques and solve Engineering problems. Periodic structures arise in this context because of their ability to reorganize wave propagation and act as mechanical filters. A brief literature review is able to demonstrate the wide range of applications of these systems. However, there is a large gap regarding the study of nonlinear periodic structures. In this sense, the present project proposes the use of the wave or finite element method and the harmonic equilibrium method as bases to develop numerical models applied to the study of nonlinear periodic structures. Besides, it is proposed to apply the perturbation method and determine the forced response of the proposed system. The results will be analyzed and the method will be optimized. Experimental procedures will be performed in order to validate and indicate the efficiency of the developed method in the design of nonlinear periodic structures applied to real cases. The conclusions will contribute to the study of periodic structures, as well as to wave propagation analysis and design of nonlinear periodic structures applied to solve Engineering problems. (AU)

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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
CLEANTE, V. G.; BRENNAN, M. J.; GONCALVES, P. J. P.; CARNEIRO JR, J. P.. On the formation of a super stop-band in finite mono-coupled periodic structures using an array of vibration absorbers: Controlling parameters and physical insight. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, v. 180, p. 14-pg., . (18/15894-0, 19/19335-9, 20/00659-6)
CARNEIRO JR, J. P.; BRENNAN, M. J.; GONCALVES, P. J. P.; CLEANTE, V. G.; BUENO, D. D.; SANTOS, R. B.. On the attenuation of vibration using a finite periodic array of rods comprised of either symmetric or asymmetric cells. Journal of Sound and Vibration, v. 511, . (19/19335-9, 20/00659-6, 18/15894-0)

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