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Design and analysis of a high-accuracy flexure hinge
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This paper designs and analyzes a new kind of flexure hinge obtained by using a
approach, namely, a quasi-V-shaped flexure hinge (QVFH). Flexure hinges are formed by
three segments: the left and right segments with convex shapes and the middle segment
with straight line. According to the results of topology
the curve equations of profiles of the flexure hinges are developed by
numerical fitting. The in-plane dimensionless compliance equations of the flexure
hinges are derived based on Castigliano’s second theorem. The accuracy of rotation,
which is denoted by the compliance of the center of rotation that deviates from the
midpoint, is derived. The equations for evaluating the maximum stresses are also provided.
These dimensionless equations are verified by finite element analysis
and experimentation. The analytical results are within 8% uncertainty compared to
the finite element
analysis results and within 9% uncertainty compared to
the experimental measurement data. Compared with the filleted V-shaped flexure hinge,
the QVFH has a higher accuracy of rotation and better ability of preserving the
center of rotation position but smaller compliance.
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