Generalized model and performance analysis of elliptical-fillet cross-sectional flexure hinges

This work presents the design and analytical model of a novel flexure hinge with variable elliptical-fillet cross-section, which can be considered as an extension of existing results on rectangular and/or circular cross-sectional flexure hinges. The closed-form solutions in full degrees of freedom were derived for the compliance, rotational precision, and the maximum von Mises stress under various loads. To validate the analytical model, the theoretical results were compared with finite element analysis based on a set of parabolic notched flexure hinges. Finally, numerical simulations were conducted to evaluate the impact of the cross-sectional geometric parameters on the compliance and stress performance of the flexure hinges. The proposed method casts a unified framework on extended flexure hinges with a cross-sectional shape, which facilitates the systematic optimizations and performance evaluations of flexure hinges in various configurations.