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LEMs achieve the movement and force transmission through flexure hinges, so it is very important to design flexure hinges. A new type of flexure hinge based on double C-type structure was proposed, named as DCA-LET flexure hinge. The characteristic parameters influencing the performance of the flexure hinge were defined. Based on the simulation analysis of eight examples of different characteristic parameters, the fitting curve of the relationship between the characteristic parameters and the simulation values of the equivalent stiffness was obtained. The theoretical formula of equivalent spring stiffness based on the characteristic parameters of the hinge was deduced and the correction factor was introduced. The correctness of theoretical calculation formula and correction factor was verified by theoretical calculation and finite element simulation of three examples. The bending and tensile properties of three DCA-LET flexure hinges with different characteristic parameters and inside LET flexure hinge were compared, and the results showed that the DCA-LET flexure hinge had better overall performance than the LET flexure hinge. The characteristic parameters can control the bending performance of DCA-LET hinge, and its tensile and compression properties had no significant decrease, which provided an effective method for the design of the flexure hinges.