On the dynamic equivalence of planar mechanisms: An inertia decomposition method

J. J. de Jong, J. van Dijk, J. L. Herder

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

3 Citations (Scopus)
189 Downloads (Pure)


In this paper the dynamic equivalence of planar mechanisms is investigated by decomposition of inertia into point masses. For a planar rigid body, two point masses can fully describe its dynamic behavior. The location of one these points can be chosen freely, fixing the second point. By locating one of the two point masses of a link on a revolute joint, this link can be fully described by the one remaining point mass. By applying this approach throughout the mechanism’s chain, a reduced parameterization of the dynamics is found. The inverse process - inertia recomposition - gives a range of dynamic equivalent mechanisms. This paper gives the bounds for the selection of such equivalent mechanisms. Simulations of two dynamically equivalent 4-bar mechanisms, derived using this method, show equal base reaction forces and moments, confirming the dynamic equivalence.
Original languageEnglish
Title of host publicationNew Trends in Mechanism and Machine Science
Subtitle of host publicationTheory and Industrial Applications
EditorsPhilippe Wenger, Paulo Flores
Number of pages8
ISBN (Electronic)978-3-319-44156-6
ISBN (Print)978-3-319-44155-9
Publication statusPublished - 20 Sept 2016
Event6th European conference on mechanism science, EUCOMES 2016 - Nantes, France
Duration: 20 Sept 201623 Sept 2016
Conference number: 6

Publication series

NameMechanisms and machine science


Conference6th European conference on mechanism science, EUCOMES 2016
Abbreviated titleEUCOMES 2016
Internet address


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