Unified rotational and translational stiffness characterization of compliant shell mechanisms

Joost R. Leemans; Charles J. Kim; Werner W.P.J. Van De Sande; Just L. Herder

doi:10.1115/DETC2018-85251

Unified rotational and translational stiffness characterization of compliant shell mechanisms

Joost R. Leemans, Charles J. Kim^*, Werner W.P.J. Van De Sande, Just L. Herder

^*Corresponding author for this work

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

Abstract

Compliant shell mechanisms utilize spatially curved thin-walled structures to transfer or transmit force, motion or energy through elastic deformation. To design with spatial mechanisms designers need comprehensive characterization methods, while existing methods fall short of meaningful comparisons between rotational and translational degrees of freedom. This paper presents two approaches, both of which are based on the principle of virtual loads and potential energy, utilizing properties of screw theory, Plücker coordinates and an eigen-decomposition, leading to two unification lengths that can be used to compare and visualize all six degrees of freedom directions and magnitudes of compliant mechanisms in a non-arbitrary physically meaningful manner.

Original language	English
Title of host publication	Proceedings ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
Subtitle of host publication	Volume 5A: 42nd Mechanisms and Robotics Conference
Place of Publication	New York, NY, USA
Publisher	ASME
Number of pages	13
ISBN (Electronic)	978-0-7918-5180-7
DOIs	https://doi.org/10.1115/DETC2018-85251
Publication status	Published - 2018
Event	ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2018 - Quebec City, Canada Duration: 26 Aug 2018 → 29 Aug 2018

Conference

Conference	ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2018
Abbreviated title	IDETC/CIE 2018
Country/Territory	Canada
City	Quebec City
Period	26/08/18 → 29/08/18

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10.1115/DETC2018-85251

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Leemans, J. R., Kim, C. J., Van De Sande, W. W. P. J., & Herder, J. L. (2018). Unified rotational and translational stiffness characterization of compliant shell mechanisms. In Proceedings ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference: Volume 5A: 42nd Mechanisms and Robotics Conference Article DETC2018-85251 ASME. https://doi.org/10.1115/DETC2018-85251

Leemans, Joost R. ; Kim, Charles J. ; Van De Sande, Werner W.P.J. et al. / Unified rotational and translational stiffness characterization of compliant shell mechanisms. Proceedings ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference: Volume 5A: 42nd Mechanisms and Robotics Conference. New York, NY, USA : ASME, 2018.

@inproceedings{6d1f31780d1e42558d621c773d1ced1a,

title = "Unified rotational and translational stiffness characterization of compliant shell mechanisms",

abstract = "Compliant shell mechanisms utilize spatially curved thin-walled structures to transfer or transmit force, motion or energy through elastic deformation. To design with spatial mechanisms designers need comprehensive characterization methods, while existing methods fall short of meaningful comparisons between rotational and translational degrees of freedom. This paper presents two approaches, both of which are based on the principle of virtual loads and potential energy, utilizing properties of screw theory, Pl{\"u}cker coordinates and an eigen-decomposition, leading to two unification lengths that can be used to compare and visualize all six degrees of freedom directions and magnitudes of compliant mechanisms in a non-arbitrary physically meaningful manner.",

author = "Leemans, {Joost R.} and Kim, {Charles J.} and {Van De Sande}, {Werner W.P.J.} and Herder, {Just L.}",

year = "2018",

doi = "10.1115/DETC2018-85251",

language = "English",

booktitle = "Proceedings ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference",

publisher = "ASME",

address = "United States",

note = "ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2018, IDETC/CIE 2018 ; Conference date: 26-08-2018 Through 29-08-2018",

}

Leemans, JR, Kim, CJ, Van De Sande, WWPJ & Herder, JL 2018, Unified rotational and translational stiffness characterization of compliant shell mechanisms. in Proceedings ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference: Volume 5A: 42nd Mechanisms and Robotics Conference., DETC2018-85251, ASME, New York, NY, USA, ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2018, Quebec City, Canada, 26/08/18. https://doi.org/10.1115/DETC2018-85251

Unified rotational and translational stiffness characterization of compliant shell mechanisms. / Leemans, Joost R.; Kim, Charles J.; Van De Sande, Werner W.P.J. et al.
Proceedings ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference: Volume 5A: 42nd Mechanisms and Robotics Conference. New York, NY, USA: ASME, 2018. DETC2018-85251.

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

TY - GEN

T1 - Unified rotational and translational stiffness characterization of compliant shell mechanisms

AU - Leemans, Joost R.

AU - Kim, Charles J.

AU - Van De Sande, Werner W.P.J.

AU - Herder, Just L.

PY - 2018

Y1 - 2018

N2 - Compliant shell mechanisms utilize spatially curved thin-walled structures to transfer or transmit force, motion or energy through elastic deformation. To design with spatial mechanisms designers need comprehensive characterization methods, while existing methods fall short of meaningful comparisons between rotational and translational degrees of freedom. This paper presents two approaches, both of which are based on the principle of virtual loads and potential energy, utilizing properties of screw theory, Plücker coordinates and an eigen-decomposition, leading to two unification lengths that can be used to compare and visualize all six degrees of freedom directions and magnitudes of compliant mechanisms in a non-arbitrary physically meaningful manner.

AB - Compliant shell mechanisms utilize spatially curved thin-walled structures to transfer or transmit force, motion or energy through elastic deformation. To design with spatial mechanisms designers need comprehensive characterization methods, while existing methods fall short of meaningful comparisons between rotational and translational degrees of freedom. This paper presents two approaches, both of which are based on the principle of virtual loads and potential energy, utilizing properties of screw theory, Plücker coordinates and an eigen-decomposition, leading to two unification lengths that can be used to compare and visualize all six degrees of freedom directions and magnitudes of compliant mechanisms in a non-arbitrary physically meaningful manner.

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U2 - 10.1115/DETC2018-85251

DO - 10.1115/DETC2018-85251

M3 - Conference contribution

AN - SCOPUS:85057002971

BT - Proceedings ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference

PB - ASME

CY - New York, NY, USA

T2 - ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2018

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Leemans JR, Kim CJ, Van De Sande WWPJ , Herder JL. Unified rotational and translational stiffness characterization of compliant shell mechanisms. In Proceedings ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference: Volume 5A: 42nd Mechanisms and Robotics Conference. New York, NY, USA: ASME. 2018. DETC2018-85251 doi: 10.1115/DETC2018-85251

Unified rotational and translational stiffness characterization of compliant shell mechanisms

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