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Characterization of Thin Flexure Hinges for Precision Applications Based on First Eigenfrequency

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Microactuators, Microsensors and Micromechanisms (MAMM 2020)

Abstract

Flexure hinges with small cross-section heights are state of the art in numerous precision engineering applications due to their capability for smooth and repeatable motion. However, the high sensitivity to manufacturing influences represents a challenge. We propose a characterization method for flexure hinges based on the measurement of the free oscillation, to enable the consideration of manufacturing influences in the early stages of the design process. Three semi-circular flexure hinges with different cross-section heights and highly accurate geometry were investigated experimentally to compare them with three theoretical modeling approaches. The results for the three flexure hinge specimens showed small deviations to the predicted values from the models which is in agreement with the results of dimensional measurements. With each modeling approach, a deviation of the minimal notch height from the nominal value can be calculated. This value, in turn, can be used as manufacturing allowance for subsequent manufacturing of compliant mechanisms using the same manufacturing method. An exemplary compliant parallel-crank mechanism proves the applicability of the concept to compliant mechanisms with multiple flexure hinges.

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References

  1. Howell, L.L., Magleby, S.P., Olsen, B.M. (eds.): Handbook of Compliant Mechanisms. Wiley, Chichester (2013)

    Google Scholar 

  2. Cosandier, F., Henein, S., Richard, M., Rubbert, L. (eds.): The Art of Flexure Mechanism Design. EFPL Press; CRC Press Taylor & Francis Group, Lausanne, Boca Raton (2017)

    Google Scholar 

  3. Lobontiu, N.: Compliant Mechanisms: Design of Flexure Hinges. CRC Press, Boca Raton (2003)

    Google Scholar 

  4. Paros, J.M., Weisbord, L.: How to design flexure hinges. Mach. Des. 25(11), 151–156 (1965)

    Google Scholar 

  5. Darnieder, M., Pabst, M., Wenig, R., Zentner, L., Theska, R., Fröhlich, T.: Static behavior of weighing cells. J. Sensors Sensor Syst. 7(2), 587–600 (2018)

    Article  Google Scholar 

  6. Davim, P.J. (ed.): Surface integrity in machining. Springer, London (2010)

    Google Scholar 

  7. Lobontiu, N.: Lumped-parameter inertia model for flexure hinges. Mech. Des. Struct. Mach. 32(1), 73–100 (2004)

    Article  Google Scholar 

  8. Dirksen, F., Lammering, R.: On mechanical properties of planar flexure hinges of compliant mechanisms. Mech. Sci. 2, 109–117 (2011)

    Article  Google Scholar 

  9. Ling, M., Cao, J., Jiang, Z., Lin, J.: A semi-analytical modeling method for the static and dynamic analysis of complex compliant mechanism. Precision Eng. 52, 64–72 (2018)

    Article  Google Scholar 

  10. Ling, M., Howell, L.L., Cao, J., Chen, G.: Kinetostatic and dynamic modeling of flexure-based compliant mechanisms: a survey. Appl. Mech. Rev. 72(3), 030802 (2020)

    Article  Google Scholar 

  11. Linß, S., Schorr, P., Zentner, L.: General design equations for the rotational stiffness, maximal angular deflection and rotational precision of various notch flexure hinges. Mech. Sci. 8(1), 29–49 (2017)

    Article  Google Scholar 

  12. Torres Melgarejo, M.A., Darnieder, M., Linß, S., Zentner, L., Fröhlich, T., Theska, R.: On modeling the bending stiffness of thin semi-circular flexure hinges for precision applications. Actuators 7(4), 86 (2018)

    Article  Google Scholar 

  13. Linß, S., Gräser, P., Henning, S., Harfensteller, F., Theska, R., Zentner, L.: Synthesis method for complaint mechanisms of high-precision and large-stroke by use of individually shaped power function flexure hinges. Advances in Mechanism and Machine Science. Mechanisms and Machine Science 73, pp. 1569–1579. Springer, Cham (2019)

    Chapter  Google Scholar 

  14. Friedrich, R., Lammering, R., Rösner, M.: On the modeling of flexure hinge mechanisms with finite beam elements of variable cross section. Precision Eng. 38, 915–920 (2014)

    Article  Google Scholar 

  15. Rösner, M., Lammering, R., Friedrich, R.: Dynamic modeling and model order reduction of compliant mechanisms. Precision Eng. 42(1), 85–92 (2015)

    Article  Google Scholar 

Download references

Acknowledgements

The authors gratefully acknowledge the support of the German Research Foundation (DFG) under grant numbers TH 845/5-2 and TH 845/7-2.

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Correspondence to Maximilian Darnieder .

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Darnieder, M., Harfensteller, F., Schorr, P., Scharff, M., Linß, S., Theska, R. (2021). Characterization of Thin Flexure Hinges for Precision Applications Based on First Eigenfrequency. In: Zentner, L., Strehle, S. (eds) Microactuators, Microsensors and Micromechanisms. MAMM 2020. Mechanisms and Machine Science, vol 96. Springer, Cham. https://doi.org/10.1007/978-3-030-61652-6_2

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