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Conceptual Design of Compliant Parallel Mechanisms

  • Chen QiuEmail author
  • Jian S. Dai
Chapter
  • 8 Downloads
Part of the Springer Tracts in Advanced Robotics book series (STAR, volume 139)

Abstract

This chapter presents the conceptual design of compliant mechanisms. The fundamental idea behind it is to establish the relationship between freedom and constraint space of a compliant mechanism according to the reciprocal relationship between twists and wrenches. By using the constraint-based design approach, a flexible element can be represented by the constraint wrench exerted from it. Thus by knowing the preferred mobility of a compliant mechanism, the configuration of constraints can be determined according to the reciprocal relationship, which further leads to the layout design of the compliant mechanism. Without the loss of generality, compliant parallel mechanisms with single degree-of-freedom flexible elements are selected to verify the proposed design approach. Particularly a physical prototype implemented with shape-memory-alloy (SMA) actuators is built and tested. By employing SMA springs, the single DOF flexible element that resists the translation along its axis can be transformed into a linear actuator that generates a stroke along its axis. Both finite-element-simulations and experimental tests were carried out to verify the mobility of the compliant parallel mechanism, thus validating the initial conceptual design approach.

References

  1. 1.
    Howell, L.L.: Compliant Mechanisms. Wiley-Interscience (2001)Google Scholar
  2. 2.
    Smith, S.T.: Flexures: Elements of Elastic Mechanisms. CRC Press (2000)Google Scholar
  3. 3.
    Drake, S.H.: Using compliance in lieu of sensory feedback for automatic assembly. Ph.D. thesis, Massachusetts Institute of Technology (1978)Google Scholar
  4. 4.
    Dai, J.S., Kerr, D.: A six-component contact force measurement device based on the Stewart platform. Proc. Inst. Mech. Eng. Part C: J. Mech. Eng. Sci. 214(5), 687–697 (2000)CrossRefGoogle Scholar
  5. 5.
    Ataollahi, A., Fallah, A.S., Seneviratne, L.D., Dasgupta, P., Althoefer, K.: Novel force sensing approach employing prismatic-tip optical fiber inside an orthoplanar spring structureGoogle Scholar
  6. 6.
    Awtar, S., Slocum, A.H.: Constraint-based design of parallel kinematic XY flexure mechanisms. J. Mech. Des. 129(8), 816–830 (2007)CrossRefGoogle Scholar
  7. 7.
    Kim, H.-Y., Ahn, D.-H., Gweon, D.-G.: Development of a novel 3-degrees of freedom flexure based positioning system. Rev. Sci. Instrum. 83(5), 055114–055114 (2012)CrossRefGoogle Scholar
  8. 8.
    Jensen, K.A., Lusk, C.P., Howell, L.L.: An XYZ micromanipulator with three translational degrees of freedom. Robotica 24(3), 305–314 (2006)CrossRefGoogle Scholar
  9. 9.
    Blanding, D.L.: Exact constraint: machine design using kinematic processing. American Society of Mechanical Engineers (1999)Google Scholar
  10. 10.
    Hale, L.C.: Principles and techniques for designing precision machines. Technical report, Lawrence Livermore National Lab., CA, USA (1999)Google Scholar
  11. 11.
    Hopkins, J.B.: Design of flexure-based motion stages for mechatronic systems via freedom, actuation and constraint topologies (FACT). Ph.D. thesis, Massachusetts Institute of Technology (2010)Google Scholar
  12. 12.
    Hopkins, J.B., Culpepper, M.L.: Synthesis of multi-degree of freedom, parallel flexure system concepts via freedom and constraint topology (fact)-part I: Principles. Precis. Eng. 34(2), 259–270 (2010)CrossRefGoogle Scholar
  13. 13.
    Hopkins, J.B., Culpepper, M.L.: A screw theory basis for quantitative and graphical design tools that define layout of actuators to minimize parasitic errors in parallel flexure systems. Precis. Eng. 34(4), 767–776 (2010)CrossRefGoogle Scholar
  14. 14.
    Ball, R.S.: A Treatise on the Theory of Screws. Cambridge University Press (1900)Google Scholar
  15. 15.
    Qiu, C., Yu, J., Li, S., Su, H.J., Zeng, Y.: Synthesis of actuation spaces of multi-axis parallel flexure mechanisms based on screw theory. In: ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, pp. 181–190. American Society of Mechanical Engineers (2011)Google Scholar
  16. 16.
    Yu, J.J., Li, S.Z., Qiu, C.: An analytical approach for synthesizing line actuation spaces of parallel flexure mechanisms. J. Mech. Des. 135(12), 124501–124501 (2013)CrossRefGoogle Scholar
  17. 17.
    Su, H.-J., Tari, H.: Realizing orthogonal motions with wire flexures connected in parallel. J. Mech. Des. 132, 121002 (2010)CrossRefGoogle Scholar
  18. 18.
    Dai, J.S., Rees Jones, J.: Interrelationship between screw systems and corresponding reciprocal systems and applications. Mech. Mach. Theory 36(5), 633–651 (2001)Google Scholar
  19. 19.
    Huber, J., Fleck, N., Ashby, M.: The selection of mechanical actuators based on performance indices. Proc. Royal Soc. Lond. Ser. A: Math. Phys. Eng. Sci. 453(1965), 2185–2205 (1997)Google Scholar
  20. 20.
    Morgan, N.: Medical shape memory alloy application-the market and its products. Mater. Sci. Eng. A 378(1), 16–23 (2004)CrossRefGoogle Scholar
  21. 21.
    Kim, B., Lee, M.G., Lee, Y.P., Kim, Y., Lee, G.: An earthworm-like micro robot using shape memory alloy actuator. Sens. Actuators A 125(2), 429–437 (2006)CrossRefGoogle Scholar
  22. 22.
    Hartl, D., Lagoudas, D.C.: Aerospace applications of shape memory alloys. Proc. Inst. Mech. Eng. Part G: J. Aerosp. Eng. 221(4), 535–552 (2007)CrossRefGoogle Scholar
  23. 23.
    Kyung, J., Ko, B., Ha, Y., Chung, G.: Design of a microgripper for micromanipulation of microcomponents using SMA wires and flexible hinges. Sens. Actuators A 141(1), 144–150 (2008)CrossRefGoogle Scholar
  24. 24.
    Li, Y., Xu, Q.: A novel piezoactuated XY stage with parallel, decoupled, and stacked flexure structure for micro-/nanopositioning. IEEE Trans. Ind. Electron. 58(8), 3601–3615 (2011)CrossRefGoogle Scholar
  25. 25.
    Kang, D., Gweon, D.: Development of flexure based 6-degrees of freedom parallel nano-positioning system with large displacement. Rev. Sci. Instrum. 83(3), 035003–035003 (2012)CrossRefGoogle Scholar
  26. 26.
    Yong, Y., Moheimani, S., Kenton, B., Leang, K.: Invited review article: high-speed flexure-guided nanopositioning: mechanical design and control issues. Rev. Sci. Instrum. 83(12), 121101–121101 (2012)CrossRefGoogle Scholar
  27. 27.
    Van Humbeeck, J.: Non-medical applications of shape memory alloys. Mater. Sci. Eng. A 273, 134–148 (1999)CrossRefGoogle Scholar
  28. 28.
    Schimmels, J.M., Huang, S.: Spatial parallel compliant mechanism, Feb 2000. US Patent 6,021,579Google Scholar
  29. 29.
    Dimentberg, F.M.: The screw calculus and its applications in mechanics. Technical report, DTIC Document (1968)Google Scholar
  30. 30.
    Patterson, T., Lipkin, H.: A classification of robot compliance. Trans. Am. Soc. Mech. Eng. J. Mech. Des. 115, 581–581 (1993)Google Scholar
  31. 31.
    Huang, S., Schimmels, J.M.: The eigenscrew decomposition of spatial stiffness matrices. IEEE Trans. Robot. Autom. 16(2), 146–156 (2000)CrossRefGoogle Scholar
  32. 32.
    Lipkin, H., Duffy, J.: The elliptic polarity of screws. ASME J. Mech. Trans. Autom. Des. 107, 377–387 (1985)CrossRefGoogle Scholar
  33. 33.
    An, S.-M., Ryu, J., Cho, M., Cho, K.-J.: Engineering design framework for a shape memory alloy coil spring actuator using a static two-state model. Smart Mater. Struct. 21(5), 055009 (2012)CrossRefGoogle Scholar
  34. 34.
    Institute, S.M.: Handbook of Spring Design. Spring Manufacturers Institute Inc. (1991)Google Scholar
  35. 35.
    Shigley, J.E., Mischke, C.R., Budynas, R.G., Liu, X., Gao, Z.: Mechanical Engineering Design, vol. 89. McGraw-Hill, New York (1989)Google Scholar

Copyright information

© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021

Authors and Affiliations

  1. 1.Innovation CentreNanyang Technological UniversitySingaporeSingapore
  2. 2.Department of InformaticsKing’s College LondonLondonUK

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