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dc.contributor.authorSingh, Inderpreetpt_BR
dc.contributor.authorArun, Palakkandypt_BR
dc.contributor.authorLima, Fábiopt_BR
dc.date.accessioned2019-01-02T13:54:43Z-
dc.date.available2019-01-02T13:54:43Z-
dc.date.issued2018pt_BR
dc.identifier.citationSINGH, Inderpreet; ARUN, Palakkandy; LIMA, Fabio. Fourier analysis of nonlinear pendulum oscillations. Revista Brasileira de Ensino de Física, São Paulo, v. 40, n. 1, e1305, 2018. DOI: http://dx.doi.org/10.1590/1806-9126-rbef-2017-0151. Disponível em: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172018000100405&lng=en&nrm=iso. Acesso em: 11 mar. 2019. Epub July 20, 2017.pt_BR
dc.identifier.urihttp://repositorio.unb.br/handle/10482/33606-
dc.language.isoenpt_BR
dc.publisherSociedade Brasileira de Físicapt_BR
dc.rightsAcesso Abertopt_BR
dc.titleFourier analysis of nonlinear pendulum oscillationspt_BR
dc.typeArtigopt_BR
dc.subject.keywordPêndulo-
dc.subject.keywordOscilações-
dc.subject.keywordFourier, Séries de-
dc.rights.licenseLicença Creative Commons (CC BY)-
dc.identifier.doihttp://dx.doi.org/10.1590/1806-9126-rbef-2017-0151pt_BR
dc.description.abstract1Since the times of Galileo, it is well-known that a simple pendulum oscillates harmonically for any sufficiently small angular amplitude. Beyond this regime and in absence of dissipative forces, the pendulum period increases with amplitude and then it becomes a nonlinear system. Here in this work, we make use of Fourier series to investigate the transition from linear to nonlinear oscillations, which is done by comparing the Fourier coefficient of the fundamental mode (i.e., that for the small-angle regime) to those corresponding to higher frequencies, for angular amplitudes up to 9 0 ∘. Contrarily to some previous works, our results reveal that the pendulum oscillations are not highly anharmonic for all angular amplitudes. This kind of analysis for the pendulum motion is of great pedagogical interest for both theoretical and experimental classes on this theme.-
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