Analysis on the displacement performances of parallel four-bar flexure hinge mechanism

The formulas of the displacement performances of single and double parallel four-bar flexure hinge mechanisms are theoretically given at first. Then, the output displacements and coupling errors of parallel four-bar flexure hinge mechanism are quantitatively analyzed by means of the finite element method (FEM). The analytical result demonstrates that for the same output displacement the coupling error of single parallel four-bar mechanism is far larger than that of double parallel four-bar mechanism. In the end, the conclusion can be drawn that double parallel four-bar mechanism should be adapted in nanopositioning field.