The paper presents an analytical approach to corner-filleted flexure hinges. Closed- form solutions are derived for the in-plane compliance factors. It is demonstrated that the corner-filleted flexure hinge spans a domain delimited by the simple beam and the right circular flexure hinge. A comparison that is made with the right circular flexure hinges indicates that the corner-filleted flexures are more bending-compliant and induce lower stresses but are less precise in rotation. The finite element simulation and experimental results confirmed the model predictions.
Issue Section:
Technical Papers
1.
Paros
, J. M.
, and Weisbord
, L.
, 1965
, “How to Design Flexure Hinges
,” Mach. Des.
, Nov., 25
, pp. 151
–156
.2.
Ragulskis
, K. M.
, Arutunian
, M. G.
, Kochikian
, A. V.
, and Pogosian
, M. Z.
, 1989
, “A Study of Fillet Type Flexure Hinges and their Optimal Design
,” Vibration Engineering
,3
, pp. 447
–452
.3.
Smith
, T. S.
, Badami
, V. G.
, Dale
, J. S.
, and Xu
, Y.
, 1997
, “Elliptical Flexure Hinges
,” Rev. Sci. Instrum.
, 68
, No. 3
, pp. 1474
–1483
.4.
Xu
, W.
, and King
, T. G.
, 1996
, “Flexure Hinges for Piezo-Actuator Displacement Amplifiers: Flexibility, Accuracy and Stress Considerations
,” Precis. Eng.
, 19
, No. 1
, pp. 4
–10
.5.
Weinstein, J. M., 1965, “Flexure Pivot Bearings,” Mach. Des., June 10, pp. 150–157.
6.
Goldfarb
, M.
, and Speich
, J. E.
, 1999
, “A Well-Behaved Revolute Joint for Compliant Mechanism Design
,” ASME J. Mech. Des.
, 121
, No. 3
, pp. 424
–429
.7.
Lobontiu
, N.
, 2001
, “Distributed-Parameter Dynamic Model and Optimized Design of a Double Pendulum with Flexure Hinges
,” Mech. Mach. Theory
, 36
, No. 5
, pp. 653
–669
.8.
Her
, I.
, and Chang
, J. C.
, 1994
, “Linear Scheme for the Displacement Analysis of Micropositioning Stages with Flexure Hinges
,” ASME J. Mech. Des.
, 116
, No. 3
, pp. 770
–776
.9.
Howell
, L. L.
, and Midha
, A.
, 1994
, “A Method for the Design of Compliant Mechanisms with Small-Length Flexural Pivots
,” ASME J. Mech. Des.
, 116
, No. 1
, pp. 280
–290
.10.
Ryu
, J. W.
, Gweon
, D.-G.
, and Moon
, K. S.
, 1997
, “Optimal Design of a Flexure Hinge Based XY Wafer Stage
,” Precis. Eng.
, 21
, pp. 18
–28
.11.
Ryu
, J. W.
, and Gweon
, D.-G.
, 1997
, “Error Analysis of a Flexure Hinge Mechanism Induced by Machining Imperfection
,” Precis. Eng.
, 21
, pp. 83
–89
.12.
Ryu
, J. W.
, Lee
, S. Q.
, Gweon
, D.-G.
, and Moon
, K. S.
, 1999
, “Inverse Kinematic Modeling of a Coupled Flexure Hinge Mechanism
,” Mechatronics
, 9
, pp. 657
–674
.13.
Young, W. C., 1987, Roark’s Formulas for Stress and Strain, McGraw Hill, New York.
14.
Peterson, R. E., 1974, Stress Concentration Factors, John Wiley and Sons, New York.
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