Bifurcations of Oscillatory and Rotational Solutions of Double Pendulum with Parametric Vertical Excitation

Bifurcations of Oscillatory and Rotational Solutions of Double Pendulum with Parametric Vertical Excitation

This paper investigates dynamics of double pendulum subjected to vertical parametric kinematic excitation. It includes detailed bifurcation diagrams in two-parameter space (excitation’s frequency and amplitude) for both oscillations and rotations in the domain of periodic solutions.

Bibliographic Details
Main Authors: Michal Marszal, Krzysztof Jankowski, Przemyslaw Perlikowski, Tomasz Kapitaniak
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2014/892793
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spelling doaj-0a54bb4760a64a058911ff04b1bb79332020-11-24T22:31:52ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472014-01-01201410.1155/2014/892793892793Bifurcations of Oscillatory and Rotational Solutions of Double Pendulum with Parametric Vertical ExcitationMichal Marszal0Krzysztof Jankowski1Przemyslaw Perlikowski2Tomasz Kapitaniak3Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, PolandDivision of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, PolandDivision of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, PolandDivision of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, PolandThis paper investigates dynamics of double pendulum subjected to vertical parametric kinematic excitation. It includes detailed bifurcation diagrams in two-parameter space (excitation’s frequency and amplitude) for both oscillations and rotations in the domain of periodic solutions.http://dx.doi.org/10.1155/2014/892793
collection DOAJ
language English
format Article
sources DOAJ
author Michal Marszal
Krzysztof Jankowski
Przemyslaw Perlikowski
Tomasz Kapitaniak
spellingShingle Michal Marszal
Krzysztof Jankowski
Przemyslaw Perlikowski
Tomasz Kapitaniak
Bifurcations of Oscillatory and Rotational Solutions of Double Pendulum with Parametric Vertical Excitation
Mathematical Problems in Engineering
author_facet Michal Marszal
Krzysztof Jankowski
Przemyslaw Perlikowski
Tomasz Kapitaniak
author_sort Michal Marszal
title Bifurcations of Oscillatory and Rotational Solutions of Double Pendulum with Parametric Vertical Excitation
title_short Bifurcations of Oscillatory and Rotational Solutions of Double Pendulum with Parametric Vertical Excitation
title_full Bifurcations of Oscillatory and Rotational Solutions of Double Pendulum with Parametric Vertical Excitation
title_fullStr Bifurcations of Oscillatory and Rotational Solutions of Double Pendulum with Parametric Vertical Excitation
title_full_unstemmed Bifurcations of Oscillatory and Rotational Solutions of Double Pendulum with Parametric Vertical Excitation
title_sort bifurcations of oscillatory and rotational solutions of double pendulum with parametric vertical excitation
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2014-01-01
description This paper investigates dynamics of double pendulum subjected to vertical parametric kinematic excitation. It includes detailed bifurcation diagrams in two-parameter space (excitation’s frequency and amplitude) for both oscillations and rotations in the domain of periodic solutions.
url http://dx.doi.org/10.1155/2014/892793
work_keys_str_mv AT michalmarszal bifurcationsofoscillatoryandrotationalsolutionsofdoublependulumwithparametricverticalexcitation
AT krzysztofjankowski bifurcationsofoscillatoryandrotationalsolutionsofdoublependulumwithparametricverticalexcitation
AT przemyslawperlikowski bifurcationsofoscillatoryandrotationalsolutionsofdoublependulumwithparametricverticalexcitation
AT tomaszkapitaniak bifurcationsofoscillatoryandrotationalsolutionsofdoublependulumwithparametricverticalexcitation
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