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.
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References
SLOCUM A H. Precision machine design[M]. Society of Manufacturing Engineers, Dearborn, MI, 1992.
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.
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.
HOWELL L L. Compliant mechanisms[M]. Wiley-interscience Publication, 2001.
CANFIELD S L, BEARD J. Development of a spatial compliant manipulator[J]. International Journal of Robotics and Automation, 2002, 17(1): 63–71.
AWTAR S, SLOCUM A H. Characteristics of beam-based flexure modules[J]. ASME Journal of Mechanical Design, 2007, 129: 625–638.
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.
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.
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.
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.
ROMAN G A, WIENS G J. MEMS optical force sensor enhancement via compliant mechanism[C]//ASME IDETC/ CIE2007, Las Vegas, Nevada, USA, 2007.
KEMPE A B. How to draw a straight line: a lecture on linkages[M]. Macmillan and Co, 1877.
SMITH S T. Flexures: elements of elastic mechanisms[M]. New York: Gordon and Breach Science, Amsterdam, The Netherlands, 2000.
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.
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.
CHANG S, DU B. A precision piezodriven micropositioner mechanism with large travel range[J]. Review of Scientific Instruments, 1998, 69(4): 1 785.
LIN Y T, LEE J J. Structural synthesis of compliant translational mechanisms[C]//12th IFToMM World Congress, Besançon, France. 2007.
TREASE B P, MOON Y M, KOTA S. Design of large-displacement compliant joints[J]. Journal of Mechanical Design, 2005, 127: 788.
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.
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.
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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.
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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
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DOI: https://doi.org/10.3901/CJME.2014.01.146