Calculation on rotation stiffness of asymmetrical right circular flexure hinge

Flexure hinge has been widely used in high precision micro-positioning mechanism and the most common type is right circular flexure hinge. Firstly, asymmetrical right circular flexure hinge is presented and the structure factor is introduced in the paper according to the size of the cutting arc radius of both sides of right circular flexure hinge. Then, asymmetrical right circular flexure hinge is classified by the value of structure factor. Finally, the analytical expression of rotation stiffness for asymmetrical right circular flexure hinge is deduced, and the relationships between the structure factor and rotation stiffness are calculated with Matlab software. The analytic result has an important significance to design flexure hinge.