A structure excited by a DC motor of limited power supply and controlled by a pendulum like device
Autor(a) principal: | |
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Data de Publicação: | 2008 |
Outros Autores: | , |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1115/DETC2007-35102 http://hdl.handle.net/11449/70438 |
Resumo: | In this paper, a mathematical model is derived via Lagrange's Equation for a shear building structure that acts as a foundation of a non-ideal direct current electric motor, controlled by a mass loose inside a circular carving. Non-ideal sources of vibrations of structures are those whose characteristics are coupled to the motion of the structure, not being a function of time only as in the ideal case. Thus, in this case, an additional equation of motion is written, related to the motor rotation, coupled to the equation describing the horizontal motion of the shear building. This kind of problem can lead to the so-called Sommerfeld effect: steady state frequencies of the motor will usually increase as more power (voltage) is given to it in a step-by-step fashion. When a resonance condition with the structure is reached, the better part of this energy is consumed to generate large amplitude vibrations of the foundation without sensible change of the motor frequency as before. If additional increase steps in voltage are made, one may reach a situation where the rotor will jump to higher rotation regimes, no steady states being stable in between. As a device of passive control of both large amplitude vibrations and the Sommerfeld effect, a scheme is proposed using a point mass free to bounce back and forth inside a circular carving in the suspended mass of the structure. Numerical simulations of the model are also presented Copyright © 2007 by ASME. |
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A structure excited by a DC motor of limited power supply and controlled by a pendulum like deviceDirect current (dc)Equation of motionFunction of timehorizontal motionsIn betweeninternational conferencesInternational designsLagrange's equationslarge amplitude vibrationsLimited power supplyMotor rotationMulti-body system (MBS)Non ideal sourcesNon-linear dynamicsNumerical simulationsPassive controlpoint massesresonance conditionsshear buildingsSommerfeld effectSteady statesStep-by-stepSuspended massTechnical conferencesArchitectural designComputer controlComputer networksComputer simulationComputersControl systemsDC motorsDynamical systemsDynamicsElectric machineryElectric motorsElectric potentialElectroacupunctureEngineeringEquations of motionFoundationsFunction evaluationFunctionsInformation systemsLattice vibrationsLeadMachine designMathematical modelsMechanicsMotorsNonlinear programmingPassive networksPhotoacoustic effectRotationShearing machinesStructural analysisTechnologyVibrations (mechanical)VibratorsStructural designIn this paper, a mathematical model is derived via Lagrange's Equation for a shear building structure that acts as a foundation of a non-ideal direct current electric motor, controlled by a mass loose inside a circular carving. Non-ideal sources of vibrations of structures are those whose characteristics are coupled to the motion of the structure, not being a function of time only as in the ideal case. Thus, in this case, an additional equation of motion is written, related to the motor rotation, coupled to the equation describing the horizontal motion of the shear building. This kind of problem can lead to the so-called Sommerfeld effect: steady state frequencies of the motor will usually increase as more power (voltage) is given to it in a step-by-step fashion. When a resonance condition with the structure is reached, the better part of this energy is consumed to generate large amplitude vibrations of the foundation without sensible change of the motor frequency as before. If additional increase steps in voltage are made, one may reach a situation where the rotor will jump to higher rotation regimes, no steady states being stable in between. As a device of passive control of both large amplitude vibrations and the Sommerfeld effect, a scheme is proposed using a point mass free to bounce back and forth inside a circular carving in the suspended mass of the structure. Numerical simulations of the model are also presented Copyright © 2007 by ASME.Polytechnique School USP, SPDEMAC-IGCE-UNESP, Rio Claro, SPDEMAC-IGCE-UNESP, Rio Claro, SPUniversidade de São Paulo (USP)Universidade Estadual Paulista (Unesp)Brasil, R. M L R FBalthazar, José Manoel [UNESP]Feitosa, L. C.2014-05-27T11:23:34Z2014-05-27T11:23:34Z2008-06-17info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject1721-1725http://dx.doi.org/10.1115/DETC2007-351022007 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2007, v. 5 PART C, p. 1721-1725.http://hdl.handle.net/11449/7043810.1115/DETC2007-351022-s2.0-44949155507Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPeng2007 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2007info:eu-repo/semantics/openAccess2021-10-23T21:41:22Zoai:repositorio.unesp.br:11449/70438Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:20:56.641950Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
A structure excited by a DC motor of limited power supply and controlled by a pendulum like device |
title |
A structure excited by a DC motor of limited power supply and controlled by a pendulum like device |
spellingShingle |
A structure excited by a DC motor of limited power supply and controlled by a pendulum like device Brasil, R. M L R F Direct current (dc) Equation of motion Function of time horizontal motions In between international conferences International designs Lagrange's equations large amplitude vibrations Limited power supply Motor rotation Multi-body system (MBS) Non ideal sources Non-linear dynamics Numerical simulations Passive control point masses resonance conditions shear buildings Sommerfeld effect Steady states Step-by-step Suspended mass Technical conferences Architectural design Computer control Computer networks Computer simulation Computers Control systems DC motors Dynamical systems Dynamics Electric machinery Electric motors Electric potential Electroacupuncture Engineering Equations of motion Foundations Function evaluation Functions Information systems Lattice vibrations Lead Machine design Mathematical models Mechanics Motors Nonlinear programming Passive networks Photoacoustic effect Rotation Shearing machines Structural analysis Technology Vibrations (mechanical) Vibrators Structural design |
title_short |
A structure excited by a DC motor of limited power supply and controlled by a pendulum like device |
title_full |
A structure excited by a DC motor of limited power supply and controlled by a pendulum like device |
title_fullStr |
A structure excited by a DC motor of limited power supply and controlled by a pendulum like device |
title_full_unstemmed |
A structure excited by a DC motor of limited power supply and controlled by a pendulum like device |
title_sort |
A structure excited by a DC motor of limited power supply and controlled by a pendulum like device |
author |
Brasil, R. M L R F |
author_facet |
Brasil, R. M L R F Balthazar, José Manoel [UNESP] Feitosa, L. C. |
author_role |
author |
author2 |
Balthazar, José Manoel [UNESP] Feitosa, L. C. |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade de São Paulo (USP) Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Brasil, R. M L R F Balthazar, José Manoel [UNESP] Feitosa, L. C. |
dc.subject.por.fl_str_mv |
Direct current (dc) Equation of motion Function of time horizontal motions In between international conferences International designs Lagrange's equations large amplitude vibrations Limited power supply Motor rotation Multi-body system (MBS) Non ideal sources Non-linear dynamics Numerical simulations Passive control point masses resonance conditions shear buildings Sommerfeld effect Steady states Step-by-step Suspended mass Technical conferences Architectural design Computer control Computer networks Computer simulation Computers Control systems DC motors Dynamical systems Dynamics Electric machinery Electric motors Electric potential Electroacupuncture Engineering Equations of motion Foundations Function evaluation Functions Information systems Lattice vibrations Lead Machine design Mathematical models Mechanics Motors Nonlinear programming Passive networks Photoacoustic effect Rotation Shearing machines Structural analysis Technology Vibrations (mechanical) Vibrators Structural design |
topic |
Direct current (dc) Equation of motion Function of time horizontal motions In between international conferences International designs Lagrange's equations large amplitude vibrations Limited power supply Motor rotation Multi-body system (MBS) Non ideal sources Non-linear dynamics Numerical simulations Passive control point masses resonance conditions shear buildings Sommerfeld effect Steady states Step-by-step Suspended mass Technical conferences Architectural design Computer control Computer networks Computer simulation Computers Control systems DC motors Dynamical systems Dynamics Electric machinery Electric motors Electric potential Electroacupuncture Engineering Equations of motion Foundations Function evaluation Functions Information systems Lattice vibrations Lead Machine design Mathematical models Mechanics Motors Nonlinear programming Passive networks Photoacoustic effect Rotation Shearing machines Structural analysis Technology Vibrations (mechanical) Vibrators Structural design |
description |
In this paper, a mathematical model is derived via Lagrange's Equation for a shear building structure that acts as a foundation of a non-ideal direct current electric motor, controlled by a mass loose inside a circular carving. Non-ideal sources of vibrations of structures are those whose characteristics are coupled to the motion of the structure, not being a function of time only as in the ideal case. Thus, in this case, an additional equation of motion is written, related to the motor rotation, coupled to the equation describing the horizontal motion of the shear building. This kind of problem can lead to the so-called Sommerfeld effect: steady state frequencies of the motor will usually increase as more power (voltage) is given to it in a step-by-step fashion. When a resonance condition with the structure is reached, the better part of this energy is consumed to generate large amplitude vibrations of the foundation without sensible change of the motor frequency as before. If additional increase steps in voltage are made, one may reach a situation where the rotor will jump to higher rotation regimes, no steady states being stable in between. As a device of passive control of both large amplitude vibrations and the Sommerfeld effect, a scheme is proposed using a point mass free to bounce back and forth inside a circular carving in the suspended mass of the structure. Numerical simulations of the model are also presented Copyright © 2007 by ASME. |
publishDate |
2008 |
dc.date.none.fl_str_mv |
2008-06-17 2014-05-27T11:23:34Z 2014-05-27T11:23:34Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/conferenceObject |
format |
conferenceObject |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1115/DETC2007-35102 2007 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2007, v. 5 PART C, p. 1721-1725. http://hdl.handle.net/11449/70438 10.1115/DETC2007-35102 2-s2.0-44949155507 |
url |
http://dx.doi.org/10.1115/DETC2007-35102 http://hdl.handle.net/11449/70438 |
identifier_str_mv |
2007 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2007, v. 5 PART C, p. 1721-1725. 10.1115/DETC2007-35102 2-s2.0-44949155507 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
2007 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2007 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
1721-1725 |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
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1808128795568242688 |