PERIODICITY IN A HARMONICALLY EXCITED DAMPED PENDULUM
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Revista Interdisciplinar de Pesquisa em Engenharia |
Texto Completo: | https://periodicos.unb.br/index.php/ripe/article/view/15017 |
Resumo: | We study, in this paper, the nonlinear dynamics of a damped and forced pendulum. This simple model can represent robotic arms, antennas and space solar panels, energy harvesting devices of vibrations present in waves etc. The response of this system has a wealth of possible behaviors, depending on model parameters, initial conditions and the amplitude and frequency of loading. The answers may result periodic, of several different periods, almost periodic, chaotic etc. This work intends to make a numerical parametric study. The problem is mathematically modeled by an ordinary differential equation obtained by Newton's laws. The evaluation of the response and the characterization of its stability is given by numerical integration of thismathematical model by Runge-Kutta 4th order algorithm, implemented in MATLAB environment. In this paper, we show an interesting aspect of the dynamic behavior of this model, namely periodic damped free vibration responses depending on certain parameters and initial conditions. Some preliminary periodic forced responses are also shown. Keywords: Nonlinear dynamics, damped and forced pendulum, periodic behavior. |
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PERIODICITY IN A HARMONICALLY EXCITED DAMPED PENDULUMWe study, in this paper, the nonlinear dynamics of a damped and forced pendulum. This simple model can represent robotic arms, antennas and space solar panels, energy harvesting devices of vibrations present in waves etc. The response of this system has a wealth of possible behaviors, depending on model parameters, initial conditions and the amplitude and frequency of loading. The answers may result periodic, of several different periods, almost periodic, chaotic etc. This work intends to make a numerical parametric study. The problem is mathematically modeled by an ordinary differential equation obtained by Newton's laws. The evaluation of the response and the characterization of its stability is given by numerical integration of thismathematical model by Runge-Kutta 4th order algorithm, implemented in MATLAB environment. In this paper, we show an interesting aspect of the dynamic behavior of this model, namely periodic damped free vibration responses depending on certain parameters and initial conditions. Some preliminary periodic forced responses are also shown. Keywords: Nonlinear dynamics, damped and forced pendulum, periodic behavior.Programa de Pós-Graduação em Integridade de Materiais da Engenharia2017-02-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.unb.br/index.php/ripe/article/view/1501710.26512/ripe.v2i19.15017Revista Interdisciplinar de Pesquisa em Engenharia; Vol. 2 No. 19 (2016): MODELING SIMULATION AND CONTROL OF AEROSPACE AND NAVAL STRUCTURES DYNAMICS (I); 21-32Revista Interdisciplinar de Pesquisa em Engenharia; v. 2 n. 19 (2016): MODELING SIMULATION AND CONTROL OF AEROSPACE AND NAVAL STRUCTURES DYNAMICS (I); 21-322447-6102reponame:Revista Interdisciplinar de Pesquisa em Engenhariainstname:Universidade de Brasília (UnB)instacron:UNBenghttps://periodicos.unb.br/index.php/ripe/article/view/15017/13331Copyright (c) 2017 Revista Interdisciplinar de Pesquisa em Engenharia - RIPEinfo:eu-repo/semantics/openAccessSantos, Paulo Eugenio da SilvaBrasil, Reyolando M.L.R.F.2019-06-16T03:55:29Zoai:ojs.pkp.sfu.ca:article/15017Revistahttps://periodicos.unb.br/index.php/ripePUBhttps://periodicos.unb.br/index.php/ripe/oaianflor@unb.br2447-61022447-6102opendoar:2019-06-16T03:55:29Revista Interdisciplinar de Pesquisa em Engenharia - Universidade de Brasília (UnB)false |
dc.title.none.fl_str_mv |
PERIODICITY IN A HARMONICALLY EXCITED DAMPED PENDULUM |
title |
PERIODICITY IN A HARMONICALLY EXCITED DAMPED PENDULUM |
spellingShingle |
PERIODICITY IN A HARMONICALLY EXCITED DAMPED PENDULUM Santos, Paulo Eugenio da Silva |
title_short |
PERIODICITY IN A HARMONICALLY EXCITED DAMPED PENDULUM |
title_full |
PERIODICITY IN A HARMONICALLY EXCITED DAMPED PENDULUM |
title_fullStr |
PERIODICITY IN A HARMONICALLY EXCITED DAMPED PENDULUM |
title_full_unstemmed |
PERIODICITY IN A HARMONICALLY EXCITED DAMPED PENDULUM |
title_sort |
PERIODICITY IN A HARMONICALLY EXCITED DAMPED PENDULUM |
author |
Santos, Paulo Eugenio da Silva |
author_facet |
Santos, Paulo Eugenio da Silva Brasil, Reyolando M.L.R.F. |
author_role |
author |
author2 |
Brasil, Reyolando M.L.R.F. |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Santos, Paulo Eugenio da Silva Brasil, Reyolando M.L.R.F. |
description |
We study, in this paper, the nonlinear dynamics of a damped and forced pendulum. This simple model can represent robotic arms, antennas and space solar panels, energy harvesting devices of vibrations present in waves etc. The response of this system has a wealth of possible behaviors, depending on model parameters, initial conditions and the amplitude and frequency of loading. The answers may result periodic, of several different periods, almost periodic, chaotic etc. This work intends to make a numerical parametric study. The problem is mathematically modeled by an ordinary differential equation obtained by Newton's laws. The evaluation of the response and the characterization of its stability is given by numerical integration of thismathematical model by Runge-Kutta 4th order algorithm, implemented in MATLAB environment. In this paper, we show an interesting aspect of the dynamic behavior of this model, namely periodic damped free vibration responses depending on certain parameters and initial conditions. Some preliminary periodic forced responses are also shown. Keywords: Nonlinear dynamics, damped and forced pendulum, periodic behavior. |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-02-08 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://periodicos.unb.br/index.php/ripe/article/view/15017 10.26512/ripe.v2i19.15017 |
url |
https://periodicos.unb.br/index.php/ripe/article/view/15017 |
identifier_str_mv |
10.26512/ripe.v2i19.15017 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
https://periodicos.unb.br/index.php/ripe/article/view/15017/13331 |
dc.rights.driver.fl_str_mv |
Copyright (c) 2017 Revista Interdisciplinar de Pesquisa em Engenharia - RIPE info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Copyright (c) 2017 Revista Interdisciplinar de Pesquisa em Engenharia - RIPE |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Programa de Pós-Graduação em Integridade de Materiais da Engenharia |
publisher.none.fl_str_mv |
Programa de Pós-Graduação em Integridade de Materiais da Engenharia |
dc.source.none.fl_str_mv |
Revista Interdisciplinar de Pesquisa em Engenharia; Vol. 2 No. 19 (2016): MODELING SIMULATION AND CONTROL OF AEROSPACE AND NAVAL STRUCTURES DYNAMICS (I); 21-32 Revista Interdisciplinar de Pesquisa em Engenharia; v. 2 n. 19 (2016): MODELING SIMULATION AND CONTROL OF AEROSPACE AND NAVAL STRUCTURES DYNAMICS (I); 21-32 2447-6102 reponame:Revista Interdisciplinar de Pesquisa em Engenharia instname:Universidade de Brasília (UnB) instacron:UNB |
instname_str |
Universidade de Brasília (UnB) |
instacron_str |
UNB |
institution |
UNB |
reponame_str |
Revista Interdisciplinar de Pesquisa em Engenharia |
collection |
Revista Interdisciplinar de Pesquisa em Engenharia |
repository.name.fl_str_mv |
Revista Interdisciplinar de Pesquisa em Engenharia - Universidade de Brasília (UnB) |
repository.mail.fl_str_mv |
anflor@unb.br |
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1798315224352161792 |