A note on application and analysis of the non-linear and non-ideal dynamic behavior of the Mathieu equation

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Autor(es): dc.contributorUniversidade Federal Tecnológica do Paraná-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.contributorUniversidade federal do Pampa-
Autor(es): dc.creatorRibeiro, Mauricio A.-
Autor(es): dc.creatorBalthazar, Jose M.-
Autor(es): dc.creatorTusset, Angelo M.-
Autor(es): dc.creatorFelix, Jorge L.P.-
Autor(es): dc.creatorDaum, Hilson H.-
Autor(es): dc.creatorMiranda, Sergio B.-
Data de aceite: dc.date.accessioned2025-08-21T20:12:55Z-
Data de disponibilização: dc.date.available2025-08-21T20:12:55Z-
Data de envio: dc.date.issued2025-04-29-
Data de envio: dc.date.issued2023-12-31-
Fonte completa do material: dc.identifierhttps://hdl.handle.net/11449/307301-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/307301-
Descrição: dc.descriptionCargo transport to the space station and the transport of satellites to orbit the Earth are necessary for not only scientific analysis, but also for the telecommunications sector; therefore, the use of rockets with propellant fuel has been growing. Therefore, our manuscript proposes a mathematical model to analyze nonlinear dynamic behavior. Such a model is based on Mathieu’s solution. However, we consider that the application of force for rocket propulsion is not ideal. The formulation of the applied force is based on Bessel’s equations and has a dependence on parameters (a0 and b0) that enable interesting characteristics, such as a0 = 0 which makes it possible to turn the non-ideal force into a force ideal, that is, a simple oscillatory force. And as a result, the parametric set was established to diagnose the chaotic and periodic behavior that can be observed in mathematical modeling. Establishing these analyzes allows the application of future work in the development of control projects to reduce vibrations that can cause anomalies in the trajectories for the system’s entry into orbit. Another application of nonlinear dynamic analysis is to establish regions for future suppression of the chaotic regime that were observed in our numerical analyses.-
Descrição: dc.descriptionUniversidade Federal Tecnológica do Paraná, Campus Ponta Grossa-
Descrição: dc.descriptionFaculdade de Mecanica Universidade Estadual Paulista “Júlio de Mesquita Filho-
Descrição: dc.descriptionCentro Tecnológico de Alegrete Universidade federal do Pampa-
Descrição: dc.descriptionUniversidade Federal Tecnológica do Paraná, Campus Guarapuava-
Descrição: dc.descriptionFaculdade de Mecanica Universidade Estadual Paulista “Júlio de Mesquita Filho-
Formato: dc.format801-810-
Idioma: dc.languageen-
Relação: dc.relationMathematics in Engineering, Science and Aerospace-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectMathieu Equation-
Palavras-chave: dc.subjectNonlinear Dynamics-
Palavras-chave: dc.subjectSloshing SpaceCraft-
Título: dc.titleA note on application and analysis of the non-linear and non-ideal dynamic behavior of the Mathieu equation-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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