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Evaluating the Spatial Compliance of Circularly Curved-Beam Flexures

  • Farid Parvari RadEmail author
  • Giovanni Berselli
  • Rocco Vertechy
  • Vincenzo Parenti Castelli
Conference paper
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 15)

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.

Keywords

Circularly curved-beam flexures Compliance matrix  Robotic fingers Finite element analysis 

References

  1. 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)CrossRefGoogle Scholar
  2. 2.
    Ananthasuresh, G., Kota, S.: Designing compliant mechanisms. Mech. Eng. 117, 93–96 (1995)Google Scholar
  3. 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. 4.
    Dollar, A., Howe, R.: A robust compliant grasper via shape deposition manufacturing. IEEE/ASME Trans. Mechatron. 11(2), 154–161 (2006)CrossRefGoogle Scholar
  5. 5.
    Howell, L.L.: Compliant Mechanisms. Wiley, New York (2001)Google Scholar
  6. 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. 7.
    Lobontiu, N.: Compliant Mechanisms: Design of Flexure Hinges. CRC Press, Boca Raton (2002)Google Scholar
  8. 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. 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. 10.
    Palaninathan, R., Chandrasekharan, P.: Curved beam element stiffness matrix formulation. Comput. & Struct. 21(4), 663–669 (1985)CrossRefzbMATHGoogle Scholar
  11. 11.
    Timoshenko, S., Goodier, J.: Theory of Elasticity. 3rd edn. McGraw Hill, Higher Education (1970)Google Scholar
  12. 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)CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  • Farid Parvari Rad
    • 1
    Email author
  • Giovanni Berselli
    • 2
  • Rocco Vertechy
    • 3
  • Vincenzo Parenti Castelli
    • 1
  1. 1.Department of Mechanical EngineeringUniversity of BolognaBolognaItaly
  2. 2.Department of Mechanical EngineeringUniversity of Modena and Reggio EmiliaReggio EmiliaItaly
  3. 3.Percro LaboratoryScuola Superiore Sant’AnnaPisaItaly

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