空间曲线切口式柔性铰的设计

为了满足精密仪器连接部件的柔度和强度需求,以切口曲线为二次曲面和圆柱面的相贯线的柔性铰为例,研究了一类空间曲线切口式柔性铰的设计方法。推导了此类柔性铰转动柔度的一般设计计算公式,分析了设计参数对柔度特性的影响,在此基础上提出了此类柔性铰的设计方法。依据提出的方法设计了空间曲线切口式柔性铰,并利用有限元分析方法对设计实例进行了柔度和强度校核,同时建立了模态实验系统识别其柔度。结果表明,两种柔度校核结果与设计计算公式结果吻合较好,最大误差不超过5%,验证了设计方法的有效性,为此类柔性铰应用于精密仪器的工程设计提供了参考。此外,文中给出的有限元建模分析方法以及试验测试方法也可用于相同类型的精密构件的力学特性研究与分析。

Design of flexure hinges with space curve notches

In order to satisfy the needs of compliances and strengths of transmission parts in a variety of precision instruments,the flexure hinges with space curve notches that are intersecting lines of quadric surfaces and cylinders were studied in detail. Firstly, a general design equation for calculating the rotation compliance of this kind of hinge was deduced, and the effects of the design parameters on the compliance characteristics were discussed. Based on the analyses, a design method of this kind of hinge was proposed, and a design example was used to illustrate the usage of the method. The compliance and the strength of the example were verified by finite element analysis and experiments.Results show that the obtained compliances from the three methods are in a good agreement, and the maximum error is less than 5%, which indicates that the design method is effective and can be used for engineering design of this kind of hinge. In addition, the finite element model method illustrated in this paper and the proposed model testing method can be used to determine the mechanical properties of this kind of hinge.