Mass Equivalent Pantographs for Synthesis of Balanced Focal Mechanisms

V. van der Wijk

Mass Equivalent Pantographs for Synthesis of Balanced Focal Mechanisms

V. van der Wijk

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

118 Downloads (Pure)

Abstract

Force balance is an important property in the design of high-speed high precision machinery to reduce base vibrations and also for the design of inherently safe large movable structures. This paper presents the synthesis of inherently balanced overconstrained focal mechanisms with mass equivalent pantographs. It is shown how pantograph linkages can be combined into an overconstrained but movable linkage by connecting them in their similarity points. With mass equivalent modeling the force balance conditions are derived for which the common center of mass is in the focal point for any motion. As examples Burmester’s focal mechanism is investigated for balance and a new balanced focal mechanism of three mass equivalent pantographs is presented.

Original language	English
Title of host publication	Advances in robot kinematics: Proceedings of the 15th conference on Advances in Robot Kinematics (ARK)
Editors	Jadran Lenarcic, Jean-Pierre Merlet
Place of Publication	Grasse, France
Pages	3-11
Publication status	Published - 27 Jun 2016
Event	15th International Symposium on Advances in Robot Kinematics, ARK 2016 - Grasse, France Duration: 27 Jun 2016 → 30 Jun 2016 Conference number: 15 https://www-sop.inria.fr/hephaistos/Congress/ARK2016/

Conference

Conference	15th International Symposium on Advances in Robot Kinematics, ARK 2016
Abbreviated title	ARK 2016
Country	France
City	Grasse
Period	27/06/16 → 30/06/16
Internet address	https://www-sop.inria.fr/hephaistos/Congress/ARK2016/

Keywords

METIS-319117
IR-102660

Access to Document

VanderWijk2016-Mass_Eq_Pant_for_Synt_of_Bal_Focal_Mech
open

https://hal.archives-ouvertes.fr/hal-01339423

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@inproceedings{5282cc3f231d4f60bbbbdf8085f5ccc6,

title = "Mass Equivalent Pantographs for Synthesis of Balanced Focal Mechanisms",

abstract = "Force balance is an important property in the design of high-speed high precision machinery to reduce base vibrations and also for the design of inherently safe large movable structures. This paper presents the synthesis of inherently balanced overconstrained focal mechanisms with mass equivalent pantographs. It is shown how pantograph linkages can be combined into an overconstrained but movable linkage by connecting them in their similarity points. With mass equivalent modeling the force balance conditions are derived for which the common center of mass is in the focal point for any motion. As examples Burmester{\textquoteright}s focal mechanism is investigated for balance and a new balanced focal mechanism of three mass equivalent pantographs is presented.",

keywords = "METIS-319117, IR-102660",

author = "{van der Wijk}, V.",

note = "Open access ; 15th International Symposium on Advances in Robot Kinematics, ARK 2016, ARK 2016 ; Conference date: 27-06-2016 Through 30-06-2016",

year = "2016",

month = jun,

day = "27",

language = "English",

pages = "3--11",

editor = "Jadran Lenarcic and Jean-Pierre Merlet",

booktitle = "Advances in robot kinematics: Proceedings of the 15th conference on Advances in Robot Kinematics (ARK)",

url = "https://www-sop.inria.fr/hephaistos/Congress/ARK2016/",

}

van der Wijk, V 2016, Mass Equivalent Pantographs for Synthesis of Balanced Focal Mechanisms. in J Lenarcic & J-P Merlet (eds), Advances in robot kinematics: Proceedings of the 15th conference on Advances in Robot Kinematics (ARK). Grasse, France, pp. 3-11, 15th International Symposium on Advances in Robot Kinematics, ARK 2016, Grasse, France, 27/06/16. <https://hal.archives-ouvertes.fr/hal-01339423>

Mass Equivalent Pantographs for Synthesis of Balanced Focal Mechanisms. / van der Wijk, V.

Advances in robot kinematics: Proceedings of the 15th conference on Advances in Robot Kinematics (ARK). ed. / Jadran Lenarcic; Jean-Pierre Merlet. Grasse, France, 2016. p. 3-11.

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

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N2 - Force balance is an important property in the design of high-speed high precision machinery to reduce base vibrations and also for the design of inherently safe large movable structures. This paper presents the synthesis of inherently balanced overconstrained focal mechanisms with mass equivalent pantographs. It is shown how pantograph linkages can be combined into an overconstrained but movable linkage by connecting them in their similarity points. With mass equivalent modeling the force balance conditions are derived for which the common center of mass is in the focal point for any motion. As examples Burmester’s focal mechanism is investigated for balance and a new balanced focal mechanism of three mass equivalent pantographs is presented.

AB - Force balance is an important property in the design of high-speed high precision machinery to reduce base vibrations and also for the design of inherently safe large movable structures. This paper presents the synthesis of inherently balanced overconstrained focal mechanisms with mass equivalent pantographs. It is shown how pantograph linkages can be combined into an overconstrained but movable linkage by connecting them in their similarity points. With mass equivalent modeling the force balance conditions are derived for which the common center of mass is in the focal point for any motion. As examples Burmester’s focal mechanism is investigated for balance and a new balanced focal mechanism of three mass equivalent pantographs is presented.

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