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Compliant Mechanism Synthesis for Guidance Task Based on Geometrical Similarity Transformation

  • Yu Zhang
  • Song LinEmail author
  • Zeyun Song
Conference paper
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 73)

Abstract

The synthesis methodology based on similarity transformation of the pole maps is regarded as an effective approach for guidance synthesis of rigid body mechanisms. However, this method has not been applied to the synthesis of compliant mechanisms. Hence it is necessary to demonstrate the feasibility of extending the application to compliant mechanisms. The theoretical demonstration of kinematic geometrical similarity of compliant mechanism is proposed in this paper. Since the compliant mechanism has the same characteristics as the rigid body mechanism before and after the similarity transformation, the synthesis methodology based on similarity transformation of the pole maps can be extended to the field of compliant mechanisms. Then this paper takes the compliant geared linkages as an example to illustrate the method of establishing function module, which includes the guidance angle performance, the guidance point trajectory equation and the pole maps. Finally, the guidance synthesis process of the compliant mechanisms is presented by a numerical example, and it is proved that this method is effective and applicable.

Keywords

Compliant Mechanism Similarity Transformation Function Module Synthesis Methodology 

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References

  1. 1.
    Howell, L. L.: Compliant Mechanisms. Wiley-Interscience, New York(2001)Google Scholar
  2. 2.
    Banerjee, A., Bhattacharya, B., Mallik, A. K.: Large deflection of cantilever beams with geometric non-linearity: analytical and numerical approaches. International Journal of Non-Linear Mechanics, 43(5), 366-376(2008)CrossRefGoogle Scholar
  3. 3.
    Chen, G., Ma, F., Hao, G., Zhu, W.: Modeling Large Deflections of Initially Curved Beams in Compliant Mechanisms Using Chained Beam Constraint Model. Journal of Mechanisms and Robotics. 11(1), 011002-011002-10(2018)CrossRefGoogle Scholar
  4. 4.
    Howell, L. L., Midha, A.: Parametric Deflection Approximations for End-Loaded, Large-Deflection Beams in Compliant Mechanisms. Journal of Mechanical Design. 117(1), 156-165(1995)CrossRefGoogle Scholar
  5. 5.
    Midha, A., Norton, T. W., Howell, L. L.: On the nomenclature, classification, and abstractions of compliant mechanisms. Journal of Mechanical Design, 116(1), 270-279(1994)CrossRefGoogle Scholar
  6. 6.
    Howell, L. L., Midha, A.: A method for the design of compliant mechanisms with small-length flexural pivots. Journal of Mechanical Design. 116(1), 280-290(1994)CrossRefGoogle Scholar
  7. 7.
    Lin, S., Modler, K. H.: Path generation with emphasis on desired mechanism type and characteristics. Proceedings of the 11th IFToMM World Congress, Aug 18-21, Tianjin, China, 1264-1269(2003)Google Scholar
  8. 8.
    Hanke, U., Modler, K. H., Lin, S., et al: Synthesis strategy for a mechanism based test bench for compliant structures. Proceedings of the 13th IFToMM World Congress, México (2011)Google Scholar
  9. 9.
    Lin, S., Liu, J., Zhang, Y.: Planar Guidance Mechanism Synthesis based on Pole Curve Transformation. Proceedings of the 14th IFToMM World Congress, Paper Number OS3-025, Oct 25-30, Taipei, Taiwan(2015)Google Scholar
  10. 10.
    Lin, S., Liu, J., Wang, H., Zhang, Y.: A novel geometric approach for planar motion generation based on similarity transformation of pole maps. Mechanism and Machine Theory, 122, 97-112(2018)CrossRefGoogle Scholar
  11. 11.
    Kimball, C., Tsai, L.: Modeling of Flexural Beams Subjected to Arbitrary End Loads. Journal of Mechanical Design. 124(2), 223-235(2002)CrossRefGoogle Scholar
  12. 12.
    Su, H. J.: A Pseudorigid-body 3R model for determining large deflection of cantilever beams subject to tip loads. Journal of Mechanisms & Robotics, 1(2), 795-810(2009)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Tongji UniversityShanghaiChina

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