Dimensionless design graphs for flexure elements and a comparison between three flexure elements

This paper presents dimensionless design graphs for three types of flexure elements, based on finite element analysis. Using these graphs as a design tool, a designer can determine the optimal geometry, based on the stiffness and rotation demands of a flexure element. An example is given using the beam flexure hinge. Between the analyzed flexure hinges, a comparison is made on basis of equal hinge functionality: rotation. The result describes the maximum stiffness properties from different hinges in identical situations. A beam flexure element is preferred over a circular flexure hinge for stiffness demands in a single direction, while a cross flexure element enables medium stiffness in two perpendicular directions.