Combined Compliance Method of the Variable Cross Section Flexure Hinge and its Verification

Flexure hinge is the most basic compliant structure, the compliance is one of the important performance parameter. The structure characteristics is analysed and the new method used for calculating the compliance is performed in this paper. Based on the structure characteristics analysis of the right circle, corner filleted and elliptical flexure hinge (symmetric and non-symmetric), half flexure hinges are analysed and the compliance formulas are given by selecting the reasonable integral variable. The combined compliance formulas of 12 kinds flexure hinge (simple, hybrid (symmetric,non-symmetric)) are obtained by half different types of flexure hinge being combined. The right circular flexure hinge, right circular elliptical hybrid flexure hinge and non-symmetric elliptical flexure hinge are selected and their compliance are calculated with the formulas in this paper and in literatures, which results indiceted the validity and correctness of the combined compliance method.