Design of Circular Cross-Section Corner-Filleted Flexure Hinges for Three-Dimensional Compliant Mechanisms

[+] Author and Article Information
Nicolae Lobontiu, Jeffrey S. N. Paine

Dynamic Structures and Materials, LLC, 205 Williamson Square, Franklin, TN 37064

J. Mech. Des 124(3), 479-484 (Aug 06, 2002) (6 pages) doi:10.1115/1.1480022 History: Received March 01, 2001; Online August 06, 2002
Copyright © 2002 by ASME
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Paros, J. M., and Weisbord, L., 1965, “How to Design Flexure Hinges,” Mach. Des., pp. 151–156.
Smith, S., 2000, Flexures: Elements of Elastic Mechanisms, Gordon and Breach Science Publishers, New York.
Lobontiu,  N., Paine,  J. S. N., Garcia,  E., and Goldfarb,  M., 2001, “Corner-Filleted Flexure Hinges,” ASME J. Mech. Des., 123, pp. 346–352.
Canfield,  S., Beard,  J., Lobontiu,  N., O’Malley,  E., Samuelson,  M., and Paine,  J. S. N., 2002, “Development of Spatial Compliant Manipulator,” Int. J. Robot. Auto., Special Issue on Compliance and Compliant Mechanisms, 17(1), pp. 63–71.
Pilkey, W. D., 1997, Peterson’s Stress Concentration Factors, John Wiley and Sons, New York.


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Circular cross-section corner-filleted flexure hinge configurations: (a) cylindrical, (b) generic, (c) right-circular
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Geometry of a generic circular cross-section corner-filleted flexure hinge
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Loading on a generic circular cross-section corner-filleted flexure hinges
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Three-dimensional finite element model
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Loading schemes for the experimental tests
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Compliance ratio functions in terms of the nondimensional variable α=r/t: (a) Rx,Fx, (b) Ry,Fy, (c) Ry,Mz
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Compliance ratio functions in terms of the nondimensional variable β=l/t: (a) Rx,Fx, (b) Ry,Fy, (c) Ry,Mz



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