A Closed-Form Model for the Support Stiffness of Spatial Flexure Strips With Limited Twist

Marijn Nijenhuis; Dannis Michel Brouwer

doi:10.1115/DETC2016-59979

A Closed-Form Model for the Support Stiffness of Spatial Flexure Strips With Limited Twist

Marijn Nijenhuis, Dannis Michel Brouwer

Faculty of Engineering Technology

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

3 Citations (Scopus)

Abstract

The stiffness characteristics of flexure strips in the constrained directions are an important attribute of their behavior when serving as a constituent of flexure mechanisms. The decrease in support stiffness that accompanies movement in the intended degrees of freedom limits the performance of mechanisms comprised of such strips. This paper presents a closed-form nonlinear model that describes the support stiffness in 3-D under arbitrary end-load for the elementary flexure strip. The formulation takes into account geometrical nonlinearities by means of finite strain relations and deformed-configuration equilibrium equations. By distinguishing the low-stiffness large-deflection motion (the degrees of freedom) from the high-stiffness small-deflection motion (the constrained motion) with the appropriate simplification of limited twist, a closed-form stiffness model is obtained for dimension and load ranges of practical interest.

Original language	English
Title of host publication	ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
Subtitle of host publication	Volume 5A: 40th Mechanisms and Robotics Conference
Place of Publication	Charlotte, NC, USA
Publisher	American Society of Mechanical Engineers (ASME)
Number of pages	10
Volume	5A
Edition	40
ISBN (Electronic)	978-0-7918-5015-2
DOIs	https://doi.org/10.1115/DETC2016-59979
Publication status	Published - 21 Aug 2016
Event	40th Mechanisms and Robotics Conference 2016 - Charlotte, United States Duration: 21 Aug 2016 → 24 Aug 2016

Conference

Conference	40th Mechanisms and Robotics Conference 2016
Country/Territory	United States
City	Charlotte
Period	21/08/16 → 24/08/16

Keywords

IR-105051
METIS-320621

Access to Document

10.1115/DETC2016-59979

Cite this

Nijenhuis, M., & Brouwer, D. M. (2016). A Closed-Form Model for the Support Stiffness of Spatial Flexure Strips With Limited Twist. In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference: Volume 5A: 40th Mechanisms and Robotics Conference (40 ed., Vol. 5A). [DETC2016-59979] American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/DETC2016-59979

Nijenhuis, Marijn ; Brouwer, Dannis Michel. / A Closed-Form Model for the Support Stiffness of Spatial Flexure Strips With Limited Twist. ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference: Volume 5A: 40th Mechanisms and Robotics Conference. Vol. 5A 40. ed. Charlotte, NC, USA : American Society of Mechanical Engineers (ASME), 2016.

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title = "A Closed-Form Model for the Support Stiffness of Spatial Flexure Strips With Limited Twist",

abstract = "The stiffness characteristics of flexure strips in the constrained directions are an important attribute of their behavior when serving as a constituent of flexure mechanisms. The decrease in support stiffness that accompanies movement in the intended degrees of freedom limits the performance of mechanisms comprised of such strips. This paper presents a closed-form nonlinear model that describes the support stiffness in 3-D under arbitrary end-load for the elementary flexure strip. The formulation takes into account geometrical nonlinearities by means of finite strain relations and deformed-configuration equilibrium equations. By distinguishing the low-stiffness large-deflection motion (the degrees of freedom) from the high-stiffness small-deflection motion (the constrained motion) with the appropriate simplification of limited twist, a closed-form stiffness model is obtained for dimension and load ranges of practical interest.",

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Nijenhuis, M & Brouwer, DM 2016, A Closed-Form Model for the Support Stiffness of Spatial Flexure Strips With Limited Twist. in ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference: Volume 5A: 40th Mechanisms and Robotics Conference. 40 edn, vol. 5A, DETC2016-59979, American Society of Mechanical Engineers (ASME), Charlotte, NC, USA, 40th Mechanisms and Robotics Conference 2016, Charlotte, North Carolina, United States, 21/08/16. https://doi.org/10.1115/DETC2016-59979

A Closed-Form Model for the Support Stiffness of Spatial Flexure Strips With Limited Twist. / Nijenhuis, Marijn ; Brouwer, Dannis Michel.

ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference: Volume 5A: 40th Mechanisms and Robotics Conference. Vol. 5A 40. ed. Charlotte, NC, USA : American Society of Mechanical Engineers (ASME), 2016. DETC2016-59979.

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

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N2 - The stiffness characteristics of flexure strips in the constrained directions are an important attribute of their behavior when serving as a constituent of flexure mechanisms. The decrease in support stiffness that accompanies movement in the intended degrees of freedom limits the performance of mechanisms comprised of such strips. This paper presents a closed-form nonlinear model that describes the support stiffness in 3-D under arbitrary end-load for the elementary flexure strip. The formulation takes into account geometrical nonlinearities by means of finite strain relations and deformed-configuration equilibrium equations. By distinguishing the low-stiffness large-deflection motion (the degrees of freedom) from the high-stiffness small-deflection motion (the constrained motion) with the appropriate simplification of limited twist, a closed-form stiffness model is obtained for dimension and load ranges of practical interest.

AB - The stiffness characteristics of flexure strips in the constrained directions are an important attribute of their behavior when serving as a constituent of flexure mechanisms. The decrease in support stiffness that accompanies movement in the intended degrees of freedom limits the performance of mechanisms comprised of such strips. This paper presents a closed-form nonlinear model that describes the support stiffness in 3-D under arbitrary end-load for the elementary flexure strip. The formulation takes into account geometrical nonlinearities by means of finite strain relations and deformed-configuration equilibrium equations. By distinguishing the low-stiffness large-deflection motion (the degrees of freedom) from the high-stiffness small-deflection motion (the constrained motion) with the appropriate simplification of limited twist, a closed-form stiffness model is obtained for dimension and load ranges of practical interest.

KW - IR-105051

KW - METIS-320621

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M3 - Conference contribution

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BT - ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference

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Nijenhuis M , Brouwer DM. A Closed-Form Model for the Support Stiffness of Spatial Flexure Strips With Limited Twist. In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference: Volume 5A: 40th Mechanisms and Robotics Conference. 40 ed. Vol. 5A. Charlotte, NC, USA: American Society of Mechanical Engineers (ASME). 2016. DETC2016-59979 doi: 10.1115/DETC2016-59979

A Closed-Form Model for the Support Stiffness of Spatial Flexure Strips With Limited Twist

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