Note: Bending compliances of generalized symmetric notch flexure hinges

Abstract

The bending compliances of generalized notch flexure hinges with transverse or transverse-and-axial symmetry are studied in two particular reference frames. For an end-point reference frame, the cross compliance and the rotary compliance are proportional. When the reference frame is placed at the flexure's midpoint, the cross compliance is zero. The translatory and rotary compliances of only half the flexure hinge are sufficient to calculate the overall compliances of a transverse-symmetry flexure configuration. Similarly, the overall bending compliances of a flexure hinge with transverse-and-axial symmetry require prior calculation of the translatory and rotary compliances of a quarter flexure solely.

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