Abstract
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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