SELF BALANCING SYSTEM FOR ROTATING MECHANISMS

A self balancing system analysis is presented which utilizes freely moving balancing bodies (balls) rotating in unison with a rotor to be balanced. Using Lagrange´s Equation, we derive the non-linear equations of motion for an autonomous system with respect to the polar coordinate system. From the e...

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Autores principales:	Meraz,Marco Antonio, Yánez,Andrés, Jiménez,Carlos, Pichardo,Raúl
Lenguaje:	English
Publicado:	Universidad de Tarapacá. Facultad de Ingeniería 2005
Materias:	Self balancing system variational Rayleigh disipation function
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0718-13372005000200007
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spelling	oai:scielo:S0718-133720050002000072005-11-07SELF BALANCING SYSTEM FOR ROTATING MECHANISMSMeraz,Marco AntonioYánez,AndrésJiménez,CarlosPichardo,Raúl Self balancing system variational Rayleigh disipation function A self balancing system analysis is presented which utilizes freely moving balancing bodies (balls) rotating in unison with a rotor to be balanced. Using Lagrange´s Equation, we derive the non-linear equations of motion for an autonomous system with respect to the polar coordinate system. From the equations of motion for the autonomous system, the equilibrium positions and the linear variational equations are obtained by the perturbation method. Because of resistance to motion, eccentricity of race over which the balancing bodies are moving and the influence of external vibrations, it is impossible to attain a complete balance. Based on the variational equations, the dynamic stability of the system in the neighborhood of the equilibrium positions is investigated. The results of the stability analysis provide the design requirements for the self balancing system.info:eu-repo/semantics/openAccessUniversidad de Tarapacá. Facultad de IngenieríaRevista Facultad de Ingeniería - Universidad de Tarapacá v.13 n.2 20052005-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0718-13372005000200007en10.4067/S0718-13372005000200007
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Self balancing system variational Rayleigh disipation function
spellingShingle	Self balancing system variational Rayleigh disipation function Meraz,Marco Antonio Yánez,Andrés Jiménez,Carlos Pichardo,Raúl SELF BALANCING SYSTEM FOR ROTATING MECHANISMS
description	A self balancing system analysis is presented which utilizes freely moving balancing bodies (balls) rotating in unison with a rotor to be balanced. Using Lagrange´s Equation, we derive the non-linear equations of motion for an autonomous system with respect to the polar coordinate system. From the equations of motion for the autonomous system, the equilibrium positions and the linear variational equations are obtained by the perturbation method. Because of resistance to motion, eccentricity of race over which the balancing bodies are moving and the influence of external vibrations, it is impossible to attain a complete balance. Based on the variational equations, the dynamic stability of the system in the neighborhood of the equilibrium positions is investigated. The results of the stability analysis provide the design requirements for the self balancing system.
author	Meraz,Marco Antonio Yánez,Andrés Jiménez,Carlos Pichardo,Raúl
author_facet	Meraz,Marco Antonio Yánez,Andrés Jiménez,Carlos Pichardo,Raúl
author_sort	Meraz,Marco Antonio
title	SELF BALANCING SYSTEM FOR ROTATING MECHANISMS
title_short	SELF BALANCING SYSTEM FOR ROTATING MECHANISMS
title_full	SELF BALANCING SYSTEM FOR ROTATING MECHANISMS
title_fullStr	SELF BALANCING SYSTEM FOR ROTATING MECHANISMS
title_full_unstemmed	SELF BALANCING SYSTEM FOR ROTATING MECHANISMS
title_sort	self balancing system for rotating mechanisms
publisher	Universidad de Tarapacá. Facultad de Ingeniería
publishDate	2005
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0718-13372005000200007
work_keys_str_mv	AT merazmarcoantonio selfbalancingsystemforrotatingmechanisms AT yanezandres selfbalancingsystemforrotatingmechanisms AT jimenezcarlos selfbalancingsystemforrotatingmechanisms AT pichardoraul selfbalancingsystemforrotatingmechanisms
_version_	1714202098967511040

SELF BALANCING SYSTEM FOR ROTATING MECHANISMS

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