COMPLIANCE CALCULATION OF
ELLIPTICAL FLEXURE HINGE

CHEN Guimin  LIU Xiaoyuan  JIA Jianyuan

(School of Mechatronics, Xidian University, Xi’an 710071 )

Abstract: Based on the bending theory of beam with variable cross-section in mechanics of materials, the compliance equations of elliptical flexure hinge are deduced by introducing centrifugal angle as the integral variable. By defining an intermediate parameter in the equations, more concise compliance equations of elliptical flexure hinge are presented, thus avoiding time-consuming numerical integrals. When the minor axis and the major axis are equal, the hinge becomes a right-circular flexure hinge, and these compliance equations converge to equations for right-circular flexure hinge. A number of elliptical flexure hinges with different shapes are analyzed by using finite element software ANSYS. The results of the finite element analysis and the equation computation ones are in good agreement, which indicate that the compliance equations are correct.

Key words: Flexure hinge Elliptical flexure hinge Compliance

CLC No: TH132

国家863计划资助项目(2002AA862011). Received 20051027, received in revised form 20060115