Large displacement behavior of double parallelogram flexure mechanisms with underconstraint eliminators

Panas, Robert M.

doi:10.1016/j.precisioneng.2016.06.010

Large displacement behavior of double parallelogram flexure mechanisms with underconstraint eliminators

Journal Article · Thu Jun 23 00:00:00 EDT 2016 · Precision Engineering

DOI:https://doi.org/10.1016/j.precisioneng.2016.06.010· OSTI ID:1313550

^[1]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

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%.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1313550

Alternate ID(s):: OSTI ID: 1397450

Report Number(s):: LLNL-JRNL--657740

Journal Information:: Precision Engineering, Journal Name: Precision Engineering Journal Issue: C Vol. 46; ISSN 0141-6359

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (18)

Numerical results from large deflection beam and frame problems analysed by means of elliptic integrals Mattiasson, Kjell International Journal for Numerical Methods in Engineering, Vol. 17, Issue 1 https://doi.org/10.1002/nme.1620170113	journal	January 1981
The cross-spring pivot as a constructional element Haringx, J. A. Flow, Turbulence and Combustion, Vol. 1, Issue 1 https://doi.org/10.1007/BF02120338	journal	December 1949
Etude des déformations d’une lame de suspension élastique Plainevaux, J. E. Il Nuovo Cimento, Vol. 4, Issue 4 https://doi.org/10.1007/BF02746178	journal	October 1956
Guidage rectiligne sur lames élastiques. Comparaison de divers types connus et nouveaux Plainevaux, J. E. Il Nuovo Cimento, Vol. 12, Issue 1 https://doi.org/10.1007/BF02820363	journal	July 1954
An Elastically Guided Machine Axis with Nanometer Repeatability Seggelen, J. K. v.; Rosielle, P. C. J. N.; Schellekens, P. H. J. CIRP Annals, Vol. 54, Issue 1 https://doi.org/10.1016/S0007-8506(07)60151-6	journal	January 2005
Analytical and experimental characterisation of high-precision flexural pivots subjected to lateral loads Zelenika, S.; De Bona, F. Precision Engineering, Vol. 26, Issue 4 https://doi.org/10.1016/S0141-6359(02)00149-6	journal	October 2002
Design and modeling of a six DOFs MEMS-based precision manipulator Brouwer, D. M.; de Jong, B. R.; Soemers, H. M. J. R. Precision Engineering, Vol. 34, Issue 2 https://doi.org/10.1016/j.precisioneng.2009.08.001	journal	April 2010
Synthesis of precision serial flexure systems using freedom and constraint topologies (FACT) Hopkins, Jonathan B.; Culpepper, Martin L. Precision Engineering, Vol. 35, Issue 4, p. 638-649 https://doi.org/10.1016/j.precisioneng.2011.04.006	journal	October 2011
Design of piezoresistive-based MEMS sensor systems for precision microsystems Panas, Robert M.; Cullinan, Michael A.; Culpepper, Martin L. Precision Engineering, Vol. 36, Issue 1 https://doi.org/10.1016/j.precisioneng.2011.07.004	journal	January 2012
Large dynamic range nanopositioning using iterative learning control Parmar, Gaurav; Barton, Kira; Awtar, Shorya Precision Engineering, Vol. 38, Issue 1 https://doi.org/10.1016/j.precisioneng.2013.07.003	journal	January 2014
Nanoscale in-plane displacement evaluation by AFM scanning and digital image correlation processing Chang, S.; Wang, C. S.; Xiong, C. Y. Nanotechnology, Vol. 16, Issue 4 https://doi.org/10.1088/0957-4484/16/4/002	journal	February 2005
Tilted folded-beam suspension for extending the stable travel range of comb-drive actuators Zhou, Guangya; Dowd, Philip Journal of Micromechanics and Microengineering, Vol. 13, Issue 2 https://doi.org/10.1088/0960-1317/13/2/303	journal	December 2002
Sub-nanometer stable precision MEMS clamping mechanism maintaining clamp force unpowered for TEM application Brouwer, D. M.; Jong, B. R. de; Soemers, H. M. J. R. Journal of Micromechanics and Microengineering, Vol. 16, Issue 6 https://doi.org/10.1088/0960-1317/16/6/S02	journal	May 2006
Comb-drive actuators for large displacements Legtenberg, Rob; Groeneveld, A. W.; Elwenspoek, M. Journal of Micromechanics and Microengineering, Vol. 6, Issue 3 https://doi.org/10.1088/0960-1317/6/3/004	journal	September 1996
Large deflection of cantilever beams Bisshopp, K. E.; Drucker, D. C. Quarterly of Applied Mathematics, Vol. 3, Issue 3 https://doi.org/10.1090/qam/13360	journal	January 1945
Novel design of a totally decoupled flexure-based XYZ parallel micropositioning stage Xu, Qingsong; Li, Yangmin 2010 IEEE/ASME International Conference on Advanced Intelligent Mechatronics (AIM) https://doi.org/10.1109/AIM.2010.5695732	conference	July 2010
Large Stroke Electrostatic Comb-Drive Actuators Enabled by a Novel Flexure Mechanism Olfatnia, Mohammad; Sood, Siddharth; Gorman, Jason J. Journal of Microelectromechanical Systems, Vol. 22, Issue 2 https://doi.org/10.1109/JMEMS.2012.2227458	journal	April 2013
Characteristics of Beam-Based Flexure Modules Awtar, Shorya; Slocum, Alexander H.; Sevincer, Edip Journal of Mechanical Design, Vol. 129, Issue 6 https://doi.org/10.1115/1.2717231	journal	May 2006

Similar Records

Eliminating Underconstraint in Double Parallelogram Flexure Mechanisms

Journal Article · Fri Jul 17 00:00:00 EDT 2015 · Journal of Mechanical Design · OSTI ID:1228007

An optimization method for flexural bearing design for high-stroke high-frequency applications

Journal Article · Mon Sep 17 20:00:00 EDT 2018 · Cryogenics · OSTI ID:1613664

Related Subjects

42 ENGINEERING
double parallelogram flexure
elastokinematic effect
flexure mechanism
folded flexure
four-bar flexure
large displacement axial stiffness
large stroke
nested linkage
nonlinear beam analysis
underconstraint elimination

Large displacement behavior of double parallelogram flexure mechanisms with underconstraint eliminators

Citation Formats

References (18)

Similar Records

Related Subjects