Abstract

Considering the effects of structural sizes of a parabolic flexible joint on its performance, compliance, sensitivity and accuracy analysis are performed in this paper. The closed-form equations are formulated for compliances to characterize both the active rotation and all other in- and out-of-plane parasitic motions, and accuracy equations are also obtained by using the Castigliano’s second theorem. According to the closed-form compliance equations, the effects of the structural parameters, such as thickness, notch depth, length and width, on the compliance of flexible joint are analyzed, respectively. In order to explore the effects of variations of the structural parameters on its compliance, the sensitivity analysis is carried out. And the accuracy analysis of the parabolic flexure joint is performed. The analysis results have shown that the parameters have large influence on in-plane compliance, and have small effects on out-of-plane one. And changes of compliance are larger within initial small range of parameters, while it has small variation in larger size range. And the length of joint has no effect of sensitivity

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