径向阵列式柔性支承扭转刚度的分析和计算

Analysis and Calculation of Torsion Stiffness of Flexible Pivot Bearing with Radial Array Rectangular Section

径向阵列式柔性支承属于精密弹性元件,能在有限范围精确提供角位移。文章对其最重要的性能指标(扭转刚度)进行了研究,根据力平衡法推导出阵列数为N(N≥2)的扭转刚度计算公式,分析了扭转刚度表达式的构成和物理意义,对比分析了所推导的计算公式和文献计算公式的计算精度和适用性,建立了有效的有限元计算模型,模拟计算结果证明了所推导公式的有效性。研究表明,文章所推导的扭转刚度计算公式对于所有具有矩形截面的径向阵列式柔性支承都适用,且与有限元计算结果的差值稳定在约7%。

Flexible pivot bearing, a kind of precision elastic components, can provide necessary angular displacement within limited range. The torsion stiffness of the beating, as the most important performance specification, is studied in the paper. The analytical expression （for array number N and N≥ 2）of the torsion stiffness of the flexible pivot beating with rectangular section is deduced by using static equilibrium theory. The constituent parts and physical meaning of the expression are discussed. The accuracy and applicability of the deduced expression are investigated in comparison with other equations in references. A finite element model is built accurately. Simulation of the flexible bearing is carded out to compare the FEM solution with that obtained by the derived expression. The results show that the deduced equation is applicable to all N ra- dial array flexible pivot bearings with rectangular section, and the difference of the stiffness value is about 7% comparing with that calculated by simulation method.