Analytical Compliance Model for Right Circle Flexure Hinge Considering the Stress Concentration Effect

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In this paper, an analytical compliance model for right circle flexure hinge (RCFH) is presented with the stress concentration in consideration. The stress concentration caused by changes in RCFH’s cross-section usually happens at the weakest point. It has been shown to seriously affect RCFH’s compliance calculation. Based on the virtual work theory, superposition relationship of the deformation, as well as Castigliano’s second theorem, RCFH’s analytical compliance model considering the stress concentration effect is established. The model is calculated as a series of closed-form equations which are related with geometric dimensions and employed material. Complicated definite integrals existing in these compliance equations are proved to be correctly calculated through comparisons with other literatures. Finally, in order to examine the validity of the established model, finite element analysis (FEA) is conducted. The relative errors between the theoretical values obtained by the established model and FEA results are found within 20% for a wide range of geometric dimensions.

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This research was funded by the Foundation of the National Natural Science Foundation of China (No. 61733012), the Foundation of the National Natural Science Foundation of China (No. 61703303), the Natural Science Foundation of Tianjin City (No. 17JCQNJC04100), the Project supported by State Key Laboratory of Precision Measuring Technology and Instruments (No. PILAB1705) and the Research Project of Tianjin Municipal Education Committee (No. 2017KJ086).

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Correspondence to Xingfei Li.

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Tuo, W., Li, X., Ji, Y. et al. Analytical Compliance Model for Right Circle Flexure Hinge Considering the Stress Concentration Effect. Int. J. Precis. Eng. Manuf. (2020) doi:10.1007/s12541-019-00306-7

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  • Right circle flexure hinge
  • Compliance model
  • Stress concentration
  • Finite element analysis