The Flexibility Calculation of Biaxial Right Circular Flexible Hinge

Flexible hinges are small in size,have no mechanical friction,no gap,no need for lubrication while offering smooth movement,and have been widely used in many instruments with unprecedented precision and stability.The calculation of flexibility is a critical part in flexible hinge design.This paper presented the compliance equations for biaxial right circular flexible hinges by utilizing the matrix theory,energy method,Castigliano's displacement theorem,and calculus.The calculation software was drawn up by VisualC++6.0,we could directly observe each of flexibility elements obtained by the analytic method by revising the biaxial right circular flexible hinge's geometric parameters,which facilitated being able to repeatedly revise the design of geometric parameters.The analytical model predictions were confirmed by the method of finite element software ANSYS11.0.The results showed that the flexibility calculation formulas for biaxial right circular flexible hinge were correct,and could be used in the design of biaxial right circular flexible hinges.