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Nonlinear dynamics applied to engineering problems

Grant number: 22/00770-0
Support Opportunities:Research Projects - Thematic Grants
Duration: July 01, 2023 - June 30, 2028
Field of knowledge:Engineering - Electrical Engineering
Principal Investigator:José Roberto Castilho Piqueira
Grantee:José Roberto Castilho Piqueira
Host Institution: Escola Politécnica (EP). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Pesquisadores principais:
Carlos Eduardo Nigro Mazzilli ; Celso Pupo Pesce
Associated researchers:André Luís Condino Fujarra ; Bruno Augusto Angélico ; Bruno Souza Carmo ; Christophe Letellier ; Fernando Akira Kurokawa ; Fernando Malvezzi ; Giuseppe Rega ; Guilherme Rosa Franzini ; Gustavo Roque da Silva Assi ; Luis Antonio Aguirre ; Marcelo Amorim Savi ; Mojtaba Kheiri ; Paulo Batista Gonçalves ; Renato Maia Matarazzo Orsino ; Rodrigo Provasi Correia ; Stefano Lenci ; Tarcisio Antonio Hess Coelho ; Cyril Touzé
Associated scholarship(s):24/02122-0 - Advances in numerical tools for nonlinear dynamics, BP.PD


Several phenomena from engineering and other branches of knowledge are modelled by means of nonlinear equations. In some cases, the linearization of the mathematical models may lead to results without physical meaning. Even though present in a number of problems, studies involving nonlinear dynamics usually are developed under the scope of archetypical oscillators (for example, the Duffing oscillator), without application to a technological system. In this scenario, the present Thematic Project has as main objective the application of concepts of nonlinear dynamics to selected problems involving structural engineering, control engineering and epidemiological models. A set of numerical tools that deal with several techniques of nonlinear dynamics will be applied to selected problems associated with passive suppression of vibrations, energy harvesting, modal localization, fluid-structure interaction, phase-locked loops and epidemiological models with node clustering. Notice that the development of a set of common numerical tools adds unity to the Thematic Project. In addition to the numerical-theoretical studies, experiments with small-scaled models using an innovative robotic platform to be developed in the Project will be carried out. The analytical-numerical-experimental approach will allow the project and the analysis of devices for both passive control of oscillations and energy harvesting for charging low-power systems, studies of phase-locked systems and epidemiological models. In addition to these mentioned studies, deeper experimental analysis of a particular flow-induced vibration phenomena will be focus of the Thematic Project. It is important to emphasize that the application of concepts of nonlinear dynamics to problems involving the design and the analysis of engineering systems brings originality to the proposal, with potential gains associated with the devices to be investigation. These devices may be subject of applications of patents. It is worth mentioning that the present proposal gives continuity to the efforts of the group responsible for the organization of the São Paulo School of Advances Sciences on Nonlinear Dynamics, occurred in 2019. The research team includes faculty members from Escola Politécnica, Mauá Institute of Technology and from other important Universities from Brazil and from abroad. In addition to their skills, competences and experience, the researchers from universities not pertaining to São Paulo will bring visibility to the Tematic Project, helping to hire high-skilled researchers for both developing their PhD theses and working as post-doctoral fellows at São Paulo. (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)
DIEGUEZ, GIOVANNI; BATISTELA, CRISTIANE; PIQUEIRA, JOSE R. C.. Controlling COVID-19 Spreading: A Three-Level Algorithm. MATHEMATICS, v. 11, n. 17, p. 39-pg., . (22/00770-0)
FRANZINI, GUILHERME ROSA; MACIEL, VITOR SCHWENCK FRANCO; VERNIZZI, GUILHERME JORGE; ZULLI, DANIELE. Simultaneous passive suppression and energy harvesting from galloping using a bistable piezoelectric nonlinear energy sink. NONLINEAR DYNAMICS, v. N/A, p. 22-pg., . (21/04434-1, 22/12546-7, 22/00770-0, 22/02995-9)
DA SILVA, L. S. P.; PESCE, C. P.; DE OLIVEIRA, M.; SERGIIENKO, N. Y.; CAZZOLATO, B.; DING, B.. Stochastic analysis of the nonlinear dynamics of oscillating water columns: A domain. APPLIED OCEAN RESEARCH, v. 139, p. 10-pg., . (22/00770-0)

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