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Research Papers: Design of Mechanisms and Robotic Systems

Determinate Design and Analytical Analysis of a Class of Symmetrical Flexure Guiding Mechanisms for Linear Actuators

[+] Author and Article Information
Guangbo Hao

Mem. ASME
School of Engineering-Electrical and
Electronic Engineering,
University College Cork,
Cork, Ireland
e-mail: G.Hao@ucc.ie

Contributed by the Mechanisms and Robotics Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received March 5, 2016; final manuscript received August 15, 2016; published online October 5, 2016. Assoc. Editor: Oscar Altuzarra.

J. Mech. Des 139(1), 012301 (Oct 05, 2016) (12 pages) Paper No: MD-16-1185; doi: 10.1115/1.4034579 History: Received March 05, 2016; Revised August 15, 2016

This paper designs and analyses a class of single-axis translational flexure guiding mechanisms for linear actuators. The proposed flexure mechanisms have symmetrical configurations to eliminate parasitic motion for better precision and can provide large stiffness in the constraint directions and low stiffness in the actuation direction. Each flexure linear mechanism is composed of identical wire beams uniformly distributed in two planes (perpendicular to the actuation direction) with the minimal number of over-constraints. Analytical (symbolic) models are derived to quickly reflect effects of different parameters on performance characteristics of the flexure mechanism, enabling dimensional synthesis of different types of mechanisms. An optimal, compact, and symmetrical, flexure linear mechanism design is finally presented and prototyped with focused discussions on its primary motion.

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References

Teo, T. , Yang, G. , and Chen, I.-M. , 2015, “ A Flexure-Based Electromagnetic Nanopositioning Actuator With Predictable and Re-Configurable Open-Loop Positioning Resolution,” Precis. Eng., 40, pp. 249–260. [CrossRef]
Kim, C. , Song, M.-G. , Kim, Y. J. , Park, N.-C. , Park, K.-S. , Park, Y.-P. , Shin, K. S. , Kim, J. G. , and Lee, G. S. , 2013, “ Design of an Auto-Focusing Actuator With a Flexure-Based Compliant Mechanism for Mobile Imaging Devices,” Microsyst. Technol., 19(9), pp. 1633–1644. [CrossRef]
BEI Kimco, 2016, “ Commercial Voice Coil Actuators,” BEI Kimco, Vista, CA, accessed July 17, 2016, http://www.beikimco.com/motor-products/VCA-linear-voice-coil-actuator-all
Liu, C. S. , and Lin, P. , 2008, “ A Miniaturized Low-Power VCM Actuator for Auto-Focusing Applications,” Opt. Express, 16(4), pp. 2533–2540. [CrossRef] [PubMed]
Awtar, S. , and Slocum, A. H. , 2005, “ Design of Flexure Stages Based on a Symmetric Diaphragm Flexure,” ASPE 2005 Annual Meeting, Norfolk, VA, Paper No. 1803.
Howell, L. L. , Magleby, S. P. , and Olsen, B. M. , 2013, Handbook of Compliant Mechanisms, Wiley, New York.
Smith, S. T. , 2000, Flexures: Elements of Elastic Mechanisms, Gordon and Breach Science Publishers, New York.
Lobontiu, N. , 2002, Compliant Mechanisms: Design of Flexure Hinges, CRC Press, Boca Raton, FL.
Hao, G. , and Li, H. , 2015, “ Conceptual Designs of Multi-DOF Compliant Parallel Manipulators Composed of Wire-Beam Based Compliant Mechanisms,” Proc. IMechE, Part C: J. Mech. Eng. Sci., 229(3), pp. 538–555. [CrossRef]
Nijenhuis, M. , Meijaard, J. P. , Herder, J. , Awtar, S. , and Brouwer, D. M. , 2015, “ An Analytical Formulation for the Lateral Support Stiffness of a Spatial Flexure Strip,” ASME Paper No. DETC2015-46591.
Zettl, B. , Szyszkowski, W. , and Zhang, W. J. , 2004, “ Accurate Low DOF Modeling of a Planar Complaint Mechanism With Flexure Hinges: The Equivalent Beam Methodology,” Precis. Eng., 29(2), pp. 237–245. [CrossRef]
Hopkins, J. B. , and Culpepper, M. L. , 2010, “ Synthesis of Multi-Degree of Freedom, Parallel Flexure System Concepts Via Freedom and Constraint Topology (FACT)—Part I: Principles,” Precis. Eng., 34(2), pp. 259–270. [CrossRef]
Hopkins, J. B. , and Culpepper, M. L. , 2010, “ Synthesis of Multi-Degree of Freedom, Parallel Flexure System Concepts Via Freedom and Constraint Topology (FACT)—Part II: Practice,” Precis. Eng., 34(2), pp. 271–278. [CrossRef]
Su, H.-J. , and Hafez, T. , 2010, “ Realizing Orthogonal Motions With Wire Flexures Connected in Parallel,” ASME J. Mech. Des., 132(12), p. 121002. [CrossRef]
Su, H.-J. , Denis, V. D. , and Judy, M. V. , 2009, “ A Screw Theory Approach for the Conceptual Design of Flexible Joints for Compliant Mechanisms,” ASME J. Mech. Rob., 1(4), p. 041009. [CrossRef]
Yu, J. , Li, S. , Su, H.-J. , and Culpepper, M. L. , 2011, “ Screw Theory Based Methodology for the Deterministic Type Synthesis of Flexure Mechanisms,” ASME J. Mech. Rob., 3(3), p. 031008. [CrossRef]
Hao, G. , and Kong, X. , 2013, “ A Normalization-Based Approach to the Mobility Analysis of Spatial Compliant Multi-Beam Modules,” Mech. Mach. Theory, 59(1), pp. 1–19. [CrossRef]
Timoshenko, S. , and Goodier, J. N. , 1969, Theory of Elasticity, McGraw-Hill, New York.
Hao, G. , and Kong, X. , 2014, “ Nonlinear Analytical Modelling and Characteristic Analysis of Symmetrical-Beam Based Composite Compliant Parallel Modules for Planar Motion,” Mech. Mach. Theory, 77, pp. 122–147. [CrossRef]
Hao, G. , and Li, H. , 2016, “ Extended Static Modelling and Analysis of Compliant Compound Parallelogram Mechanisms Considering the Initial Internal Axial Force,” ASME J. Mech. Rob., 8(4), p. 041008. [CrossRef]
Christopher, M. B. , and Hopkins, J. B. , 2012, “ Sensitivity of Freedom Spaces During Flexure Stage Design Via FACT,” Precis. Eng., 36(3), pp. 494–499. [CrossRef]

Figures

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Fig. 1

A wire beam as a basic flexure/compliant module

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Fig. 2

Nonsymmetrical five-beam and six-beam flexure linear mechanisms with orthogonal arrangement: (a) five-beam mechanism, and (b) six-beam mechanism

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Fig. 3

An original nonsymmetrical eight-beam flexure linear mechanism: (a) 3D view of the original mechanism and (b) top view in the Z-direction of the original mechanism

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Fig. 4

Two traditional symmetrical (noncompact) flexure linear mechanisms (top view in the Z-direction) with orthogonal arrangement: (a) 12-beam mechanism and (b) 16-beam mechanism

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Fig. 5

General layouts for four in-plane 3DOC four-beam symmetrical designs: (a) case I: orientation θ within [0,π/2), (b) case II: orientation θ within [π/2, π), (c) case III: orientation θ within [π,3π/2), and (d) case IV: orientation θ within [3π/2, 2π)

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Fig. 6

Special in-plane four-beam cases

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Fig. 7

Compliance ratio (|c33/c11|) associated with the translational DOC in the X-axis

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Fig. 8

Compliance ratio (|c33/c22|) associated with the translational DOC in the Y-axis

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Fig. 9

Compliance ratio (|c33/c44|) associated with the rotational DOC in the X-axis

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Fig. 10

Compliance ratio (|c33/c55|) associated with the rotational DOC in the Y-axis

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Fig. 11

Compliance ratio (|c33/c66|) associated with the rotational DOC in the Z-axis

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Fig. 12

Distances of two intersection points along the Y-axis

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Fig. 13

A compact and symmetrical eight-beam flexure linear mechanism: (a) CAD model before and after linear actuation by FEA and (b) prototype

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Fig. 14

Maximal stress over primary motion for E = 69 GPa

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Fig. 15

Effect of the beam thickness on primary motion

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Fig. 16

Comparison of primary motion results of the prototype

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Fig. 17

Prototype testing rig of primary motion

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Fig. 18

Linear-stiffness flexure guiding mechanism: (a) CAD model before and after linear actuation by FEA and (b) prototype

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Fig. 19

Two classes of symmetrical flexure linear mechanisms with 12 and 16 wire beams (top view Z-direction): (a) 12-beam mechanism: type I, (b) 12-beam mechanism: type II, (c) 12-beam mechanism: type III, (d) 16-beam mechanism: type I, (e) 16-beam mechanism: type II, and (f) 16-beam mechanism: type III

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