We consider the dynamics of the first vibrational mode of a suspension bridge, resulting from the coupling between its roadbed (elastic beam) and the hangers, supposed to be one-sided springs which respond only to stretching. The external forcing is due to time-periodic vortices produced by impinging wind on the bridge structure. We have studied some relevant dynamical phenomena in such a system, like periodic and quasiperiodic responses, chaotic motion, and boundary crises. In the weak dissipative limit the dynamics is mainly multistable, presenting a variety of coexisting attractors, both periodic and chaotic, with a highly involved basin of attraction structure.
ResumoNesta investigação, o ensino de alguns tópicos da óptica foi repensado relacionando ciência e arte, entendidas como expressões humanas inseparáveis e instrumentos de compreensão do mundo. Foi desenvolvida uma unidade didática envolvendo conceitos da óptica geométrica no ensino médio, norteada pela pedagogia dialógico-problematizadora de Paulo Freire, e aplicada em três colégios estaduais em Curitiba. O tema gerador foi a Arte Urbana, presente no universo dos nossos educandos. A discussão gerada abordou o conceito de Ciência e na problematização utilizou-se a tela "An Experiment on a Bird in the Air Pump" (1766), de Joseph Wright of Derby. A estratégia de pesquisa foi do tipo observação participante e o tratamento de dados pelo método comparativo constante. Os dados foram obtidos no estilo cooperativo e a categoria geral definida para análise foi a das "Perspectivas tidas pelos sujeitos", consoante com a concepção freiriana de educação centrada nos sujeitos envolvidos e suas vivências.Palavras-chave: Ensino de Óptica, Joseph Wright, Arte e Ciência.
Abstract
Some possibilities of interaction between Street Art, Joseph Wright and the Optic's teachingIn this investigation, we rethink the learning on some topics of Optics, based on the relationship between Science and Art, as inseparable human expressions and world representations. A didactic unit was developed, aiming the transposition of optical concepts in high school. The intervention was based on the dialogical and problematically presented approach due to Paulo Freire, applied at three State colleges in Curitiba. The theme-generator was Street Art, presented as the learner's universe, generating a discussion concerning concept of Science and questioning used the painting "An Experiment on a Bird in the air pump", by Joseph Wright of Derby (1766). The research strategy was participant observation, processing data by constant comparative method, which were obtained from the cooperative style, and the general category set for analysis was that of "Perspectives taken by subject", which is consonant with the Freirian conception for education centered on the subjects involved and their experiences.
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