A non-prismatic beam element for the optimization of flexure mechanisms

Klaas Simon Dwarshuis; Ronald Aarts; Marcel Ellenbroek; Dannis Brouwer

doi:10.1115/DETC2020-22242

A non-prismatic beam element for the optimization of flexure mechanisms

Klaas Simon Dwarshuis, Ronald Aarts, Marcel Ellenbroek, Dannis Brouwer

Applied Mechanics

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

1 Citation (Scopus)

6 Downloads (Pure)

Abstract

Flexure joints are rapidly gaining ground in precision engineering because of their predictable behavior. However the range of motion of flexure joints is limited due to loss of support stiffness in deformed configurations. Most of the common flexure joints consist of prismatic leaf springs. This paper presents a simple non-prismatic beam formulation that can be used for the efficient modelling of non-prismatic leaf springs. The resulting stiffness and stress computed by the non-prismatic beam element are compared to the results of a finite element analysis. The paper shows that the support stiffness of two typical flexure joints can be increased up to a factor of 1.9 by using non-prismatic instead of prismatic leaf springs.

Original language	English
Title of host publication	16th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (MSNDC)
Publisher	ASME Digital Collection
Number of pages	10
ISBN (Electronic)	9780791883914
DOIs	https://doi.org/10.1115/DETC2020-22242
Publication status	Published - 3 Nov 2020
Event	ASME International Design Engineering Technical Conferences & Computer and Information in Engineering, ASME IDETC CIE 2020 - Virtual Conference, Online, United States Duration: 17 Aug 2020 → 19 Aug 2020 Conference number: 40th https://event.asme.org/IDETC-CIE-2020 https://event.asme.org/IDETC-CIE

Conference

Conference	ASME International Design Engineering Technical Conferences & Computer and Information in Engineering, ASME IDETC CIE 2020
Abbreviated title	ASME IDETC CIE 2020
Country/Territory	United States
City	Online
Period	17/08/20 → 19/08/20
Internet address	https://event.asme.org/IDETC-CIE-2020 https://event.asme.org/IDETC-CIE

Keywords

Computational mechanics
Compliant mechanisms
Design optimization
22/2 OA procedure

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10.1115/DETC2020-22242Licence: Taverne

Cite this

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title = "A non-prismatic beam element for the optimization of flexure mechanisms",

abstract = "Flexure joints are rapidly gaining ground in precision engineering because of their predictable behavior. However the range of motion of flexure joints is limited due to loss of support stiffness in deformed configurations. Most of the common flexure joints consist of prismatic leaf springs. This paper presents a simple non-prismatic beam formulation that can be used for the efficient modelling of non-prismatic leaf springs. The resulting stiffness and stress computed by the non-prismatic beam element are compared to the results of a finite element analysis. The paper shows that the support stiffness of two typical flexure joints can be increased up to a factor of 1.9 by using non-prismatic instead of prismatic leaf springs.",

keywords = "Computational mechanics, Compliant mechanisms, Design optimization, 22/2 OA procedure",

author = "Dwarshuis, {Klaas Simon} and Ronald Aarts and Marcel Ellenbroek and Dannis Brouwer",

note = "Funding Information: This work is part of the research programme HTSM 2017 with project number 16210, which is partly financed by the Netherlands Organisation for Scientific Research (NWO). Publisher Copyright: Copyright {\textcopyright} 2020 ASME.; ASME International Design Engineering Technical Conferences & Computer and Information in Engineering, ASME IDETC CIE 2020, ASME IDETC CIE 2020 ; Conference date: 17-08-2020 Through 19-08-2020",

year = "2020",

month = nov,

day = "3",

doi = "10.1115/DETC2020-22242",

language = "English",

booktitle = "16th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (MSNDC)",

publisher = "ASME Digital Collection",

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Dwarshuis, KS, Aarts, R , Ellenbroek, M & Brouwer, D 2020, A non-prismatic beam element for the optimization of flexure mechanisms. in 16th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (MSNDC)., V002T02A015, ASME Digital Collection, ASME International Design Engineering Technical Conferences & Computer and Information in Engineering, ASME IDETC CIE 2020, Online, United States, 17/08/20. https://doi.org/10.1115/DETC2020-22242

A non-prismatic beam element for the optimization of flexure mechanisms. / Dwarshuis, Klaas Simon; Aarts, Ronald ; Ellenbroek, Marcel et al.

16th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (MSNDC). ASME Digital Collection, 2020. V002T02A015.

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

TY - GEN

T1 - A non-prismatic beam element for the optimization of flexure mechanisms

AU - Dwarshuis, Klaas Simon

AU - Aarts, Ronald

AU - Ellenbroek, Marcel

AU - Brouwer, Dannis

N1 - Conference code: 40th

PY - 2020/11/3

Y1 - 2020/11/3

N2 - Flexure joints are rapidly gaining ground in precision engineering because of their predictable behavior. However the range of motion of flexure joints is limited due to loss of support stiffness in deformed configurations. Most of the common flexure joints consist of prismatic leaf springs. This paper presents a simple non-prismatic beam formulation that can be used for the efficient modelling of non-prismatic leaf springs. The resulting stiffness and stress computed by the non-prismatic beam element are compared to the results of a finite element analysis. The paper shows that the support stiffness of two typical flexure joints can be increased up to a factor of 1.9 by using non-prismatic instead of prismatic leaf springs.

AB - Flexure joints are rapidly gaining ground in precision engineering because of their predictable behavior. However the range of motion of flexure joints is limited due to loss of support stiffness in deformed configurations. Most of the common flexure joints consist of prismatic leaf springs. This paper presents a simple non-prismatic beam formulation that can be used for the efficient modelling of non-prismatic leaf springs. The resulting stiffness and stress computed by the non-prismatic beam element are compared to the results of a finite element analysis. The paper shows that the support stiffness of two typical flexure joints can be increased up to a factor of 1.9 by using non-prismatic instead of prismatic leaf springs.

KW - Computational mechanics

KW - Compliant mechanisms

KW - Design optimization

KW - 22/2 OA procedure

U2 - 10.1115/DETC2020-22242

DO - 10.1115/DETC2020-22242

M3 - Conference contribution

BT - 16th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (MSNDC)

PB - ASME Digital Collection

T2 - ASME International Design Engineering Technical Conferences & Computer and Information in Engineering, ASME IDETC CIE 2020

Y2 - 17 August 2020 through 19 August 2020

ER -

A non-prismatic beam element for the optimization of flexure mechanisms

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