The paper introduces a new category of planar flexure hinges that are formed by serially connecting variable cross-sectional segments of straight longitudinal axes with segments of circular longitudinal axes. The small-displacement compliance analytical model is derived for a general hinge configuration using a matrix approach that sums the transformed local-frame compliance matrices of individual component segments. The particular class of antisymmetric flexure hinges is studied using the general model and the corresponding global-frame compliance matrix is calculated as a linear combination of compliances defining the half-hinge configuration. A serpentine (folded) flexure hinge is introduced to illustrate the generic antisymmetric design and model. Finite element simulation is used to validate the analytic compliances of this particular configuration and the compliance sensitivity to geometric parameters variation is further analyzed. The translation stiffnesses of a planar-motion stage with two identical serpentine hinges are calculated based on hinge compliances. The optimum hinge design is subsequently identified, which realizes minimum-resistance motion along the stage axial motion direction.
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December 2014
Research-Article
In-Plane Compliances of Planar Flexure Hinges With Serially Connected Straight- and Circular-Axis Segments
Nicolae Lobontiu
Nicolae Lobontiu
Department of Mechanical Engineering,
e-mail: nlobontiu@uaa.alaska.edu
University of Alaska Anchorage
,3211 Providence Drive
,Anchorage, AK 99508
e-mail: nlobontiu@uaa.alaska.edu
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Nicolae Lobontiu
Department of Mechanical Engineering,
e-mail: nlobontiu@uaa.alaska.edu
University of Alaska Anchorage
,3211 Providence Drive
,Anchorage, AK 99508
e-mail: nlobontiu@uaa.alaska.edu
Contributed by the Mechanisms and Robotics Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received February 1, 2014; final manuscript received July 23, 2014; published online October 20, 2014. Assoc. Editor: Shorya Awtar.
J. Mech. Des. Dec 2014, 136(12): 122301 (10 pages)
Published Online: October 20, 2014
Article history
Received:
February 1, 2014
Revision Received:
July 23, 2014
Citation
Lobontiu, N. (October 20, 2014). "In-Plane Compliances of Planar Flexure Hinges With Serially Connected Straight- and Circular-Axis Segments." ASME. J. Mech. Des. December 2014; 136(12): 122301. https://doi.org/10.1115/1.4028276
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