Large displacement behavior of double parallelogram flexure mechanisms with underconstraint eliminators
Abstract
This paper presents a new analytical method for predicting the large displacement behavior of flexural double parallelogram (DP) bearings with underconstraint eliminator (UE) linkages. This closed-form perturbative Euler analysis method is able to – for the first time – directly incorporate the elastomechanics of a discrete UE linkage, which is a hybrid flexure element that is linked to ground as well as both stages on the bearing. The models are used to understand a nested linkage UE design, however the method is extensible to other UE linkages. Design rules and figures-of-merit are extracted from the analysis models, which provide powerful tools for accelerating the design process. The models, rules and figures-of-merit enable the rapid design of a UE for a desired large displacement behavior, as well as providing a means for determining the limits of UE and DP structures. This will aid in the adoption of UE linkages into DP bearings for precision mechanisms. Models are generated for a nested linkage UE design, and the performance of this DP with UE structure is compared to a DP-only bearing. As a result, the perturbative Euler analysis is shown to match existing theories for DP-only bearings with distributed compliance within ≈2%, andmore »
- Publication Date:
- Research Org.:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1313550
- Alternate Identifier(s):
- OSTI ID: 1397450
- Report Number(s):
- LLNL-JRNL-657740
Journal ID: ISSN 0141-6359
- Grant/Contract Number:
- AC52-07NA27344; 31006/12.1.1
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Precision Engineering
- Additional Journal Information:
- Journal Volume: 46; Journal Issue: C; Journal ID: ISSN 0141-6359
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING; underconstraint elimination; four-bar flexure; folded flexure; double parallelogram flexure; nested linkage; nonlinear beam analysis; elastokinematic effect; large displacement axial stiffness; large stroke; flexure mechanism
Citation Formats
Panas, Robert M. Large displacement behavior of double parallelogram flexure mechanisms with underconstraint eliminators. United States: N. p., 2016.
Web. doi:10.1016/j.precisioneng.2016.06.010.
Panas, Robert M. Large displacement behavior of double parallelogram flexure mechanisms with underconstraint eliminators. United States. https://doi.org/10.1016/j.precisioneng.2016.06.010
Panas, Robert M. Thu .
"Large displacement behavior of double parallelogram flexure mechanisms with underconstraint eliminators". United States. https://doi.org/10.1016/j.precisioneng.2016.06.010. https://www.osti.gov/servlets/purl/1313550.
@article{osti_1313550,
title = {Large displacement behavior of double parallelogram flexure mechanisms with underconstraint eliminators},
author = {Panas, Robert M.},
abstractNote = {This paper presents a new analytical method for predicting the large displacement behavior of flexural double parallelogram (DP) bearings with underconstraint eliminator (UE) linkages. This closed-form perturbative Euler analysis method is able to – for the first time – directly incorporate the elastomechanics of a discrete UE linkage, which is a hybrid flexure element that is linked to ground as well as both stages on the bearing. The models are used to understand a nested linkage UE design, however the method is extensible to other UE linkages. Design rules and figures-of-merit are extracted from the analysis models, which provide powerful tools for accelerating the design process. The models, rules and figures-of-merit enable the rapid design of a UE for a desired large displacement behavior, as well as providing a means for determining the limits of UE and DP structures. This will aid in the adoption of UE linkages into DP bearings for precision mechanisms. Models are generated for a nested linkage UE design, and the performance of this DP with UE structure is compared to a DP-only bearing. As a result, the perturbative Euler analysis is shown to match existing theories for DP-only bearings with distributed compliance within ≈2%, and Finite Element Analysis for the DP with UE bearings within an average 10%.},
doi = {10.1016/j.precisioneng.2016.06.010},
journal = {Precision Engineering},
number = C,
volume = 46,
place = {United States},
year = {Thu Jun 23 00:00:00 EDT 2016},
month = {Thu Jun 23 00:00:00 EDT 2016}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 4 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Characteristics of Beam-Based Flexure Modules
journal, May 2006
- Awtar, Shorya; Slocum, Alexander H.; Sevincer, Edip
- Journal of Mechanical Design, Vol. 129, Issue 6
Large Stroke Electrostatic Comb-Drive Actuators Enabled by a Novel Flexure Mechanism
journal, April 2013
- Olfatnia, Mohammad; Sood, Siddharth; Gorman, Jason J.
- Journal of Microelectromechanical Systems, Vol. 22, Issue 2
Large deflection of cantilever beams
journal, January 1945
- Bisshopp, K. E.; Drucker, D. C.
- Quarterly of Applied Mathematics, Vol. 3, Issue 3
Etude des déformations d’une lame de suspension élastique
journal, October 1956
- Plainevaux, J. E.
- Il Nuovo Cimento, Vol. 4, Issue 4
Analytical and experimental characterisation of high-precision flexural pivots subjected to lateral loads
journal, October 2002
- Zelenika, S.; De Bona, F.
- Precision Engineering, Vol. 26, Issue 4
Numerical results from large deflection beam and frame problems analysed by means of elliptic integrals
journal, January 1981
- Mattiasson, Kjell
- International Journal for Numerical Methods in Engineering, Vol. 17, Issue 1
Comb-drive actuators for large displacements
journal, September 1996
- Legtenberg, Rob; Groeneveld, A. W.; Elwenspoek, M.
- Journal of Micromechanics and Microengineering, Vol. 6, Issue 3
Guidage rectiligne sur lames élastiques. Comparaison de divers types connus et nouveaux
journal, July 1954
- Plainevaux, J. E.
- Il Nuovo Cimento, Vol. 12, Issue 1
The cross-spring pivot as a constructional element
journal, December 1949
- Haringx, J. A.
- Flow, Turbulence and Combustion, Vol. 1, Issue 1
Design and modeling of a six DOFs MEMS-based precision manipulator
journal, April 2010
- Brouwer, D. M.; de Jong, B. R.; Soemers, H. M. J. R.
- Precision Engineering, Vol. 34, Issue 2
Tilted folded-beam suspension for extending the stable travel range of comb-drive actuators
journal, December 2002
- Zhou, Guangya; Dowd, Philip
- Journal of Micromechanics and Microengineering, Vol. 13, Issue 2
Sub-nanometer stable precision MEMS clamping mechanism maintaining clamp force unpowered for TEM application
journal, May 2006
- Brouwer, D. M.; Jong, B. R. de; Soemers, H. M. J. R.
- Journal of Micromechanics and Microengineering, Vol. 16, Issue 6
Nanoscale in-plane displacement evaluation by AFM scanning and digital image correlation processing
journal, February 2005
- Chang, S.; Wang, C. S.; Xiong, C. Y.
- Nanotechnology, Vol. 16, Issue 4
Novel design of a totally decoupled flexure-based XYZ parallel micropositioning stage
conference, July 2010
- Xu, Qingsong; Li, Yangmin
- 2010 IEEE/ASME International Conference on Advanced Intelligent Mechatronics (AIM)
An Elastically Guided Machine Axis with Nanometer Repeatability
journal, January 2005
- Seggelen, J. K. v.; Rosielle, P. C. J. N.; Schellekens, P. H. J.
- CIRP Annals, Vol. 54, Issue 1
Large dynamic range nanopositioning using iterative learning control
journal, January 2014
- Parmar, Gaurav; Barton, Kira; Awtar, Shorya
- Precision Engineering, Vol. 38, Issue 1
Synthesis of precision serial flexure systems using freedom and constraint topologies (FACT)
journal, October 2011
- Hopkins, Jonathan B.; Culpepper, Martin L.
- Precision Engineering, Vol. 35, Issue 4, p. 638-649
Design of piezoresistive-based MEMS sensor systems for precision microsystems
journal, January 2012
- Panas, Robert M.; Cullinan, Michael A.; Culpepper, Martin L.
- Precision Engineering, Vol. 36, Issue 1