机械设计外文翻译----圆弧型柔性铰链刚度特性分析(编辑修改稿)

机械设计外文翻译----圆弧型柔性铰链刚度特性分析(编辑修改稿)内容摘要：

model left end surface is restrained pletely, the right end surface exerts bending moment NmM  . The special node 1 of the grid model right end surface represents the output displacement. The unit type chooses 3_D the entity SOLID92 unit model, the entire model usrs Smartsize to free mesh. The deformation of the FEA model is shown in Figure 2(b). The FEA model and the output displacement have been obtained with changing elliptical flexible hinge’s paramters E,b,t and x as well as y (a) (b) Figure 2 . FEA model of elliptical flexure hinge The theoretical calculation and FEA rotational stiffness are obtaoned through changing elliptical flexure hinge’s parameters E,b,t and x as well as y , as shown in Figure 3 to 7. Figure 3. Comparison of FEA value and the theoretical value of flexure hinge with changing E Figure 3. Comparison of FEA value and the theoretical value of flexure hinge with changing width b Figure 5. Comparison of FEA value and the theoretical value of flexure hinge with chinging thickness t Figure 6. Comparison of FEA value and the theoretical value of flexure hinge with chinging semimajor axis x Figure 7. Comparison of FEA value and the theoretical value of flexure hinge with chinging semimajor axis y From Equation (3) and Figures 3 to 7 the following conclusions can be observed. (1) From Figures 3and 4 it can be observed that the rotation stiffness is a linearly increasing realtion with material young’s modulus E and width b. The FEA value is bigger than the theoretical value. When E and b are smallerm the FEA value and the theoretical value are closer . (2) From Figure 5 it can observed that the rotantion of the stiffness FEA value and the theoretical value is a vurve increasing with thickness t, end the speedup is getting quicker and quicker. When t is bigger, the difference of the theoretical value and the FEA value is bigger. When t2mm, the FEA value and the theorerical value are close. (3) From Figure 6 it can observed that the rotantion of rotation rigidity and semimajor axis x is a decreasing curve, and the rate of reduced scope is gradually decreased. When x 3mm, the FEA value and the theoretical value are closer. (4) From Figure 7 it can observed that the rotantion of rotation ridity and semiminor axis y is a linearly increasing, but the increasing scope is small. The FEA value is bigger than the theoretical value. From Figure 3 to 7 it can obse。