Analytical modelling and experiments for hybrid multiaxis flexure hinges

Hybrid multiaxis flexure hinges with a generalized elliptical-arc hybrid fillet (EAHF) notch contour are herein developed and investigated. Analytical closed-form equations of compliance, rotational precision, and maximum stress under spatial combined loads are formulated. The presented analytical equations are confirmed by finite element analysis and experiments. The performances of the hybrid multiaxis flexure hinges are investigated by means of a parameter study with a focus on the effects of the hybrid filleted notch. It is found that the notch transformation of the multiaxis flexure hinges between transverse symmetric and asymmetric (or hybrid) only change their rotation centre and shearing compliances but hardly change their rotational compliances. In conclusion, the presented EAHF contour provides a generalized model for designing hybrid multiaxis flexure hinges, while the developed analytical equations are sufficient for quick, systematic evaluations of hinge performance.