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Evaluating the Spatial Compliance of Circularly Curved-Beam Flexures

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Book cover Computational Kinematics

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 15))

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Abstract

In this chapter, the closed-form compliance equations for Circularly Curved-Beam Flexures are derived. Following a general modeling procedure previously described in the literature, each element of the spatial compliance matrix is analytically computed as a function of both hinge dimensions and employed material. The theoretical model is then validated by comparing analytical data with the results obtained through Finite Element Analysis. Finally, a case study is presented concerning the potential application of these types of flexures in the optimal design of compliant robotic fingers.

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References

  1. Albu-Schäffer, A., Ott, C., Hirzinger, G.: A unified passivity-based control framework for position, torque and impedance control of flexible joint robots. Int. J. Robot. Res. 26(1), 23–39 (2007)

    Article  Google Scholar 

  2. Ananthasuresh, G., Kota, S.: Designing compliant mechanisms. Mech. Eng. 117, 93–96 (1995)

    Google Scholar 

  3. Berselli, G., Vassura, G., Piccinini, M.: Comparative evaluation of the selective compliance in elastic joints for robotic structures, pp. 759–764. IEEE ICRA, International Conference on Robotics and Automation IEEE Shangai, China (2011)

    Google Scholar 

  4. Dollar, A., Howe, R.: A robust compliant grasper via shape deposition manufacturing. IEEE/ASME Trans. Mechatron. 11(2), 154–161 (2006)

    Article  Google Scholar 

  5. Howell, L.L.: Compliant Mechanisms. Wiley, New York (2001)

    Google Scholar 

  6. Jafari, M., Mahjoob, M.: An exact three-dimensional beam element with nonuniform cross section. ASME J. Appl. Mech. 77(6), (2010)

    Google Scholar 

  7. Lobontiu, N.: Compliant Mechanisms: Design of Flexure Hinges. CRC Press, Boca Raton (2002)

    Google Scholar 

  8. Lotti, F., Vassura, G.: A novel approach to mechanical design of articulated fingers for robotic hands. In: IEEE/RSJ IROS International Conference on Intelligent Robots and Systems (2002)

    Google Scholar 

  9. Meng, Q., Berselli, G., Vertechy, R., Castelli, V.P.: An improved method for designing flexure-based nonlinear springs, pp. 1–10. ASME IDETC International Design Engineering Technical Conferences, Chicago, USA (2012)

    Google Scholar 

  10. Palaninathan, R., Chandrasekharan, P.: Curved beam element stiffness matrix formulation. Comput. & Struct. 21(4), 663–669 (1985)

    Article  MATH  Google Scholar 

  11. Timoshenko, S., Goodier, J.: Theory of Elasticity. 3rd edn. McGraw Hill, Higher Education (1970)

    Google Scholar 

  12. Yong, Y.K., Lu, T., Handley, D.: Review of circular flexure hinge design equations and derivation of empirical formulations. Precis. Eng. 32, 63–70 (2008)

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, University of Bologna, Bologna, Italy

    Farid Parvari Rad & Vincenzo Parenti Castelli

  2. Department of Mechanical Engineering, University of Modena and Reggio Emilia, Reggio Emilia, Italy

    Giovanni Berselli

  3. Percro Laboratory, Scuola Superiore Sant’Anna, Pisa, Italy

    Rocco Vertechy

Authors
  1. Farid Parvari Rad
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  2. Giovanni Berselli
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  3. Rocco Vertechy
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  4. Vincenzo Parenti Castelli
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Corresponding author

Correspondence to Farid Parvari Rad .

Editor information

Editors and Affiliations

  1. Llorens Artigas, Inst Robótica e Informática Industrial, Barcelona, Spain

    Federico Thomas

  2. Mechanical Engineering, Idaho State University, Pocatello, Idaho, USA

    Alba Perez Gracia

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© 2014 Springer Science+Business Media Dordrecht

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Rad, F.P., Berselli, G., Vertechy, R., Castelli, V.P. (2014). Evaluating the Spatial Compliance of Circularly Curved-Beam Flexures. In: Thomas, F., Perez Gracia, A. (eds) Computational Kinematics. Mechanisms and Machine Science, vol 15. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-7214-4_42

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  • DOI: https://doi.org/10.1007/978-94-007-7214-4_42

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-7213-7

  • Online ISBN: 978-94-007-7214-4

  • eBook Packages: EngineeringEngineering (R0)

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