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

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

doi:10.1007/978-3-319-44156-6_6

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

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

Faculty of Engineering Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

3 Citations (Scopus)

189 Downloads (Pure)

Abstract

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 language	English
Title of host publication	New Trends in Mechanism and Machine Science
Subtitle of host publication	Theory and Industrial Applications
Editors	Philippe Wenger, Paulo Flores
Publisher	Springer
Pages	51-59
Number of pages	8
Volume	43
ISBN (Electronic)	978-3-319-44156-6
ISBN (Print)	978-3-319-44155-9
DOIs	https://doi.org/10.1007/978-3-319-44156-6_6
Publication status	Published - 20 Sept 2016
Event	6th European conference on mechanism science, EUCOMES 2016 - Nantes, France Duration: 20 Sept 2016 → 23 Sept 2016 Conference number: 6 http://eucomes2016.irccyn.ec-nantes.fr/

Publication series

Name	Mechanisms and machine science
Volume	43

Conference

Conference	6th European conference on mechanism science, EUCOMES 2016
Abbreviated title	EUCOMES 2016
Country/Territory	France
City	Nantes
Period	20/09/16 → 23/09/16
Internet address	http://eucomes2016.irccyn.ec-nantes.fr/

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EUCOMES2016_PointMass_JJdeJong_JvanDijk_JL_Herder_Final_CorrectAccepted author version, 192 KB

Cite this

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title = "On the dynamic equivalence of planar mechanisms: An inertia decomposition method",

abstract = "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{\textquoteright}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.",

author = "{de Jong}, {J. J.} and {van Dijk}, J. and Herder, {J. L.}",

year = "2016",

month = sep,

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doi = "10.1007/978-3-319-44156-6_6",

language = "English",

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volume = "43",

series = "Mechanisms and machine science",

publisher = "Springer",

pages = "51--59",

editor = "Philippe Wenger and Paulo Flores",

booktitle = "New Trends in Mechanism and Machine Science",

note = "6th European conference on mechanism science, EUCOMES 2016, EUCOMES 2016 ; Conference date: 20-09-2016 Through 23-09-2016",

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de Jong, JJ, van Dijk, J & Herder, JL 2016, On the dynamic equivalence of planar mechanisms: An inertia decomposition method. in P Wenger & P Flores (eds), New Trends in Mechanism and Machine Science: Theory and Industrial Applications. vol. 43, Mechanisms and machine science, vol. 43, Springer, pp. 51-59, 6th European conference on mechanism science, EUCOMES 2016, Nantes, France, 20/09/16. https://doi.org/10.1007/978-3-319-44156-6_6

On the dynamic equivalence of planar mechanisms: An inertia decomposition method. / de Jong, J. J.; van Dijk, J.; Herder, J. L.
New Trends in Mechanism and Machine Science: Theory and Industrial Applications. ed. / Philippe Wenger; Paulo Flores. Vol. 43 Springer, 2016. p. 51-59 (Mechanisms and machine science; Vol. 43).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - On the dynamic equivalence of planar mechanisms

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AU - van Dijk, J.

AU - Herder, J. L.

N1 - Conference code: 6

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N2 - 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.

AB - 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.

U2 - 10.1007/978-3-319-44156-6_6

DO - 10.1007/978-3-319-44156-6_6

M3 - Conference contribution

SN - 978-3-319-44155-9

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T3 - Mechanisms and machine science

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BT - New Trends in Mechanism and Machine Science

A2 - Wenger, Philippe

A2 - Flores, Paulo

PB - Springer

Y2 - 20 September 2016 through 23 September 2016

ER -

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

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