Dynamics of a complex mechanical pendulum : and its dependence on energy

In this thesis we analyze the motion of the double pendulum in which the first rod has a distributed mass and the second is a light rod with a linked spring attached to a point mass. The dynamics of the system is modelled in Maple using the Sophia package and Lagrangian mechanics. Trajectories, phas...

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Main Author:	Löfvenmark, Niclas
Format:	Others
Language:	English
Published:	KTH, Skolan för teknikvetenskap (SCI) 2021
Subjects:	Physical Sciences Fysik
Online Access:	http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-297681

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spelling	ndltd-UPSALLA1-oai-DiVA.org-kth-2976812021-06-22T05:25:07ZDynamics of a complex mechanical pendulum : and its dependence on energyengLöfvenmark, NiclasKTH, Skolan för teknikvetenskap (SCI)2021Physical SciencesFysikIn this thesis we analyze the motion of the double pendulum in which the first rod has a distributed mass and the second is a light rod with a linked spring attached to a point mass. The dynamics of the system is modelled in Maple using the Sophia package and Lagrangian mechanics. Trajectories, phase portraits, conservation of energy etc. are studied to determine the systems stability for different energy levels and the models accuracy. A study of the systems properties such as its sensitivity to initial condition and denseness of orbits was done to conclude if the system exhibit chaotic motion. Student thesisinfo:eu-repo/semantics/bachelorThesistexthttp://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-297681TRITA-SCI-GRU ; 2021:124application/pdfinfo:eu-repo/semantics/openAccess
collection	NDLTD
language	English
format	Others
sources	NDLTD
topic	Physical Sciences Fysik
spellingShingle	Physical Sciences Fysik Löfvenmark, Niclas Dynamics of a complex mechanical pendulum : and its dependence on energy
description	In this thesis we analyze the motion of the double pendulum in which the first rod has a distributed mass and the second is a light rod with a linked spring attached to a point mass. The dynamics of the system is modelled in Maple using the Sophia package and Lagrangian mechanics. Trajectories, phase portraits, conservation of energy etc. are studied to determine the systems stability for different energy levels and the models accuracy. A study of the systems properties such as its sensitivity to initial condition and denseness of orbits was done to conclude if the system exhibit chaotic motion.
author	Löfvenmark, Niclas
author_facet	Löfvenmark, Niclas
author_sort	Löfvenmark, Niclas
title	Dynamics of a complex mechanical pendulum : and its dependence on energy
title_short	Dynamics of a complex mechanical pendulum : and its dependence on energy
title_full	Dynamics of a complex mechanical pendulum : and its dependence on energy
title_fullStr	Dynamics of a complex mechanical pendulum : and its dependence on energy
title_full_unstemmed	Dynamics of a complex mechanical pendulum : and its dependence on energy
title_sort	dynamics of a complex mechanical pendulum : and its dependence on energy
publisher	KTH, Skolan för teknikvetenskap (SCI)
publishDate	2021
url	http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-297681
work_keys_str_mv	AT lofvenmarkniclas dynamicsofacomplexmechanicalpendulumanditsdependenceonenergy
_version_	1719411316561543168

Dynamics of a complex mechanical pendulum : and its dependence on energy

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