A screw-based dynamic balancing approach, applied to a 5-bar mechanism

Jan Johannes de Jong, Johannes van Dijk, Justus Laurens Herder

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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Abstract

Dynamic balancing aims to reduce or eliminate the shaking base reaction forces and moments of mechanisms, in order to minimize vibration and wear. The derivation of the dynamic balance conditions requires significant algebraic effort, even for simple mechanisms. In this study, a screw-based balancing methodology is proposed and applied to a 5-bar mechanism. The method relies on four steps: 1) representation of the links’ inertias into point masses, 2) finding the conditions for these point masses which result in dynamic balance in one given pose (instantaneous balance), 3) extending these conditions over the workspace to achieve global balance, 4) converting the point mass representation back to feasible inertias. These four steps are applied to a 5-bar mechanism in order to obtain the conditions which ensure complete force balance and additional moment balance over multiple trajectories. Using this methodology, six out of the eight balancing conditions are found directly from the momentum equations.
Original languageEnglish
Title of host publicationProceedings of the ARK2016, the 15th Conference Advances in Robot Kinematics
EditorsJadran Lenarcic, Jean-Pierre Merlet
PublisherIFToMM
Pages31-38
ISBN (Electronic)978-3-319-56802-7
ISBN (Print)978-3-319-56801-0
DOIs
Publication statusPublished - 27 Jun 2016
Event15th International Symposium on Advances in Robot Kinematics, ARK 2016 - Grasse, France
Duration: 27 Jun 201630 Jun 2016
Conference number: 15
https://www-sop.inria.fr/hephaistos/Congress/ARK2016/

Conference

Conference15th International Symposium on Advances in Robot Kinematics, ARK 2016
Abbreviated titleARK 2016
CountryFrance
CityGrasse
Period27/06/1630/06/16
Internet address

Fingerprint

Momentum
Trajectories
Wear of materials

Keywords

  • IR-101105
  • METIS-317731

Cite this

de Jong, J. J., van Dijk, J., & Herder, J. L. (2016). A screw-based dynamic balancing approach, applied to a 5-bar mechanism. In J. Lenarcic, & J-P. Merlet (Eds.), Proceedings of the ARK2016, the 15th Conference Advances in Robot Kinematics (pp. 31-38). IFToMM. https://doi.org/10.1007/978-3-319-56802-7_4
de Jong, Jan Johannes ; van Dijk, Johannes ; Herder, Justus Laurens. / A screw-based dynamic balancing approach, applied to a 5-bar mechanism. Proceedings of the ARK2016, the 15th Conference Advances in Robot Kinematics. editor / Jadran Lenarcic ; Jean-Pierre Merlet. IFToMM, 2016. pp. 31-38
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abstract = "Dynamic balancing aims to reduce or eliminate the shaking base reaction forces and moments of mechanisms, in order to minimize vibration and wear. The derivation of the dynamic balance conditions requires significant algebraic effort, even for simple mechanisms. In this study, a screw-based balancing methodology is proposed and applied to a 5-bar mechanism. The method relies on four steps: 1) representation of the links’ inertias into point masses, 2) finding the conditions for these point masses which result in dynamic balance in one given pose (instantaneous balance), 3) extending these conditions over the workspace to achieve global balance, 4) converting the point mass representation back to feasible inertias. These four steps are applied to a 5-bar mechanism in order to obtain the conditions which ensure complete force balance and additional moment balance over multiple trajectories. Using this methodology, six out of the eight balancing conditions are found directly from the momentum equations.",
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de Jong, JJ, van Dijk, J & Herder, JL 2016, A screw-based dynamic balancing approach, applied to a 5-bar mechanism. in J Lenarcic & J-P Merlet (eds), Proceedings of the ARK2016, the 15th Conference Advances in Robot Kinematics. IFToMM, pp. 31-38, 15th International Symposium on Advances in Robot Kinematics, ARK 2016, Grasse, France, 27/06/16. https://doi.org/10.1007/978-3-319-56802-7_4

A screw-based dynamic balancing approach, applied to a 5-bar mechanism. / de Jong, Jan Johannes; van Dijk, Johannes; Herder, Justus Laurens.

Proceedings of the ARK2016, the 15th Conference Advances in Robot Kinematics. ed. / Jadran Lenarcic; Jean-Pierre Merlet. IFToMM, 2016. p. 31-38.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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N2 - Dynamic balancing aims to reduce or eliminate the shaking base reaction forces and moments of mechanisms, in order to minimize vibration and wear. The derivation of the dynamic balance conditions requires significant algebraic effort, even for simple mechanisms. In this study, a screw-based balancing methodology is proposed and applied to a 5-bar mechanism. The method relies on four steps: 1) representation of the links’ inertias into point masses, 2) finding the conditions for these point masses which result in dynamic balance in one given pose (instantaneous balance), 3) extending these conditions over the workspace to achieve global balance, 4) converting the point mass representation back to feasible inertias. These four steps are applied to a 5-bar mechanism in order to obtain the conditions which ensure complete force balance and additional moment balance over multiple trajectories. Using this methodology, six out of the eight balancing conditions are found directly from the momentum equations.

AB - Dynamic balancing aims to reduce or eliminate the shaking base reaction forces and moments of mechanisms, in order to minimize vibration and wear. The derivation of the dynamic balance conditions requires significant algebraic effort, even for simple mechanisms. In this study, a screw-based balancing methodology is proposed and applied to a 5-bar mechanism. The method relies on four steps: 1) representation of the links’ inertias into point masses, 2) finding the conditions for these point masses which result in dynamic balance in one given pose (instantaneous balance), 3) extending these conditions over the workspace to achieve global balance, 4) converting the point mass representation back to feasible inertias. These four steps are applied to a 5-bar mechanism in order to obtain the conditions which ensure complete force balance and additional moment balance over multiple trajectories. Using this methodology, six out of the eight balancing conditions are found directly from the momentum equations.

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de Jong JJ, van Dijk J, Herder JL. A screw-based dynamic balancing approach, applied to a 5-bar mechanism. In Lenarcic J, Merlet J-P, editors, Proceedings of the ARK2016, the 15th Conference Advances in Robot Kinematics. IFToMM. 2016. p. 31-38 https://doi.org/10.1007/978-3-319-56802-7_4