Skip to main content
Log in

Design of compliant straight-line mechanisms using flexural joints

  • Published:
Chinese Journal of Mechanical Engineering Submit manuscript

Abstract

Straight-line compliant mechanisms are important building blocks to design a linear-motion stage, which is very useful in precision applications. However, only a few configurations of straight-line compliant mechanisms are applicable. To construct more kinds of them, an approach to design large-displacement straight-line flexural mechanisms with rotational flexural joints is proposed, which is based on a viewpoint that the straight-line motion is regarded as a compromise of rigid and compliant parasitic motion of a rotational flexural joint. An analytical design method based on the Taylor series expansion is proposed to quickly obtain an approximate solution. To illustrate and verify the proposed method, two kinds of flexural joints, cross-axis hinge and leaf-type isosceles-trapezoidal flexural(LITF) pivot are used to reconstruct straight-line flexural mechanisms. Their performances are obtained by analytic and FEA method respectively. The comparisons of the results show the accuracy of the approach. Both examples show that the proposed approach can convert a large-deflection flexural joint into approximate straight-line mechanism with a high linearity that is higher than 5 000 within 5 mm displacement. This can lead to a new way to design, analyze or optimize straight-line flexure mechanisms.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. SLOCUM A H. Precision machine design[M]. Society of Manufacturing Engineers, Dearborn, MI, 1992.

    Google Scholar 

  2. PARISE J J, HOWELL L L, MAGLEBY S P. Ortho-planar linear-motion springs[J]. Mechanism and Machine Theory, 2001, 36(11): 1 281–1 299.

    Article  Google Scholar 

  3. ZHAO S, AYE Y N, SHEE C Y, et al. A compact 3-DOF compliant serial mechanism for trajectory tracking with flexures made by rapid prototyping[C]//2012 IEEE International Conference on Robotics and Automation, Minnesota, USA, May 14–18, 2012.

  4. HOWELL L L. Compliant mechanisms[M]. Wiley-interscience Publication, 2001.

    Google Scholar 

  5. CANFIELD S L, BEARD J. Development of a spatial compliant manipulator[J]. International Journal of Robotics and Automation, 2002, 17(1): 63–71.

    Google Scholar 

  6. AWTAR S, SLOCUM A H. Characteristics of beam-based flexure modules[J]. ASME Journal of Mechanical Design, 2007, 129: 625–638.

    Article  Google Scholar 

  7. CHOI K B, KIM D H. Monolithic parallel linear compliant mechanism for two axes ultraprecision linear motion[J]. Review of Scientific Instruments, 2006, 77: 065106.

    Article  Google Scholar 

  8. YU Jingjun, HU Yida, BI Shusheng, et al. Kinematics feature analysis of a 3 DOF in-parallel compliant mechanism for micro manipulation[J]. Chinese Journal of Mechanical Engineering, 2004, 17(1): 127–131.

    Article  Google Scholar 

  9. TANG X, CHEN I M, LI Q. Design and Nonlinear Modeling of a Large-Displacement XYZ Flexure Parallel Mechanism with Decoupled Kinematic Structure[J]. Review of Scientific Instruments, 2006, 77: 115101.

    Article  Google Scholar 

  10. GAROI F, WINTERFLOOD J, JU L, et al. Passive vibration isolation using a roberts linkage[J]. Review of Scientific Instruments, 2003, 74(7): 3 487.

    Article  Google Scholar 

  11. ROMAN G A, WIENS G J. MEMS optical force sensor enhancement via compliant mechanism[C]//ASME IDETC/ CIE2007, Las Vegas, Nevada, USA, 2007.

    Google Scholar 

  12. KEMPE A B. How to draw a straight line: a lecture on linkages[M]. Macmillan and Co, 1877.

    Google Scholar 

  13. SMITH S T. Flexures: elements of elastic mechanisms[M]. New York: Gordon and Breach Science, Amsterdam, The Netherlands, 2000.

    Google Scholar 

  14. HOPKINS J B, CULPEPPER M L. Synthesis of multi-degree of freedom, parallel flexure system concepts via freedom and constraint topology (FACT). Part II: Practice[J]. Precision Engineering, 2010, 34(2): 271–278.

    Article  Google Scholar 

  15. HUBBARD N B, WITTWER J W, KENNEDY J A. A novel fully compliant planar linear-motion mechanism[C]//Proc. ASME DETC’04, Utah, USA. 2004.

    Google Scholar 

  16. CHANG S, DU B. A precision piezodriven micropositioner mechanism with large travel range[J]. Review of Scientific Instruments, 1998, 69(4): 1 785.

    Article  Google Scholar 

  17. LIN Y T, LEE J J. Structural synthesis of compliant translational mechanisms[C]//12th IFToMM World Congress, Besançon, France. 2007.

    Google Scholar 

  18. TREASE B P, MOON Y M, KOTA S. Design of large-displacement compliant joints[J]. Journal of Mechanical Design, 2005, 127: 788.

    Article  Google Scholar 

  19. PEI X, YU J J, ZONG G H, et al. Analysis of rotational precision for an isosceles-trapezoidal flexural pivot[J]. Journal of Mechanical Design, 2008, 130(5): 052302.

    Article  Google Scholar 

  20. PEI X, YU J J, ZONG G H, et al. A novel family of leaf-type compliant joints: combination of two isosceles-trapezoidal flexural pivots[J]. Journal of Mechanisms and Robotics, 2009, 1(2): 021005.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xu Pei.

Additional information

This project is supported by National Natural Science Foundation of China (Grant No. 51275552), and Foundation for the Author of National Excellent Doctoral Dissertation of China (Grant No. 201234)

PEI Xu, born in 1979, is currently a lecturer at School of Mechanical Engineering and Automation, Beihang University, China. He received his PhD degree from Beihang Universtiy, China, in 2009. His main research interests include Parallel mechanisms, compliant mechanisms, and robotics.

YU Jingjun, born in 1974, is currently an associate professor at Robotics Institute, Beihang University, China. He received his PhD degree from Beihang Universtiy, China, in 2002. His main research interests include Parallel mechanisms, compliant mechanisms, robotics and screw theory.

ZONG Guanghua, born in 1943, is currently a professor at Robotics Institute, Beihang University, China. His research interests include compliant mechanisms, mobile robots, etc.

BI Shusheng, born in 1966, is currently a professor at Robotics Institute, Beihang University, China. He received his PhD degree from Beihang University, China, in 2002. His research interests include bionic under water robots, bird-like robots, and flexible micro-structure design.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pei, X., Yu, J., Zong, G. et al. Design of compliant straight-line mechanisms using flexural joints. Chin. J. Mech. Eng. 27, 146–153 (2014). https://doi.org/10.3901/CJME.2014.01.146

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3901/CJME.2014.01.146

Keywords

Navigation