【正文】
widely applied in the displacement which requests small angular and highprecision rotation, such as gyroscopes,accelerometers, percision instruments and so on. It has broad application prospects in the micron level domain. The mon flexible hinge is in two kinds:beamshape flexible hinge and arcshaped flexible hinge. The beamshaped flexible hinge has a big slewing area, but the movement precision is bad. The arcshaped flexible hinge’s movement percision is bad. The arcshaped flexible hinge is relatively small. In order to take into account the movement ptecision and scope, the following several rotation flexible hinges have been generated: parabolic flexure hinge, an elliptical flexure hinge and a hyperbolashaped hinge, etc. The properties of flexible hinges are rigidity precision and stress characteristic etc. the rigidity performance reflects the stress ability and also manifests movement to a viceflexible degree. In 1965, Parosetal announced his design development of the circular flexible hinge for the first time, and gave the rigidity used the similar method to obtain an elliptic flexible hinge mechanics expression. Nicolae Lodonitu inferred the parabola and the hyperbolic flexible hinge’s rigidity formula. Wei Xu and Tim king analyzed the tectangular and elllipse flexible hinge’s rigidity and rotarion precision using the finite element method. In this paper the elliptical flexible hinge stiffness to different geometrical parameters is analyzed with software . Compared with ressults of theoretical analysis and finite element analysis(FEA), the errors are analyzed. Theough the graph of the flexible hinge parameters and its performanve, an analysis of changes of parameters on the performance of the elliptical fexible hinge was carried out. The key manufacture parameters that affect the performances of an elliptical flexible hinge the most and rules of design are given, which can guve direcrions of design precision for the flexible hinge. Ⅱ .RIGIDITY FORMULA OF THE ELLIPTICAL FLEXIBLE HINGE An elliptical flexible hing,as shown in Figure 1, is a particular type of flexure that consists of a neckde down section. Parameters t,h,b are flexible hinge’s smallest thickness,height and width ,resoectively, Parameter x? is the semimajor axis of ellipse, and y? is the semimajor axis of elllipse. As shown in Figure 1(a), the infinitesimal is intercepted in the abscissa axis. To begin, the infinitesimal section is vertica