Compliance based characterization of spherical flexure hinges for spatial compliant mechanisms

In this paper, the closed-form compliance equations for spherical flexures are derived. Each element of the spatial compliance matrix is analytically computed as a function of both hinge dimensions and employed material. The theoretical model is then validated by relating analytical data with the results obtained through Finite Element Analysis. Finally, for a generic loading condition, spherical flexures are compared to circularly curved-beam hinges in terms of secondary compliance factors and maximum stress