“…In order to improve the motion accuracy, there are a variety of flexure hinges have been proposed and utilized in the positioning system, including notch-type hinge [1][2][3], leaf-spring hinge [4][5][6], right elliptical hinge [7], V-shape flexure hinge [8], cross-axis flexural pivots [9][10][11], split-tube flexural pivots [12], cartwheel hinges [13][14][15][16][17], and so on. Among the proposed flexure hinges, the notch-type hinge and leaf-spring hinge are the most popular and widely utilized in precision positioning system.…”