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Design of 3-legged XYZ compliant parallel manipulators with minimised parasitic rotations

Published online by Cambridge University Press:  13 March 2014

Guangbo Hao*
Affiliation:
School of Engineering, University College Cork, Cork, Ireland
Haiyang Li
Affiliation:
School of Engineering, University College Cork, Cork, Ireland
*
*Corresponding author. Email: [email protected]

Summary

This paper deals with the design of 3-legged distributed-compliance XYZ compliant parallel manipulators (CPMs) with minimised parasitic rotations, based on the kinematically decoupled 3-PPPRR (P: prismatic joint, and R: revolute joint) and 3-PPPR translational parallel mechanisms (TPMs). The designs are firstly proposed using the kinematic substitution approach, with the help of the stiffness center (SC) overlapping based approach. This is done by an appropriate embedded arrangement so that all of the SCs associated with the passive compliant modules overlap at the point where all of the input forces applied at the input stages intersect. Kinematostatic modelling and characteristic analysis are then carried out for the proposed large-range 3-PPPRR XYZ CPM with overlapping SCs. The results from finite element analysis (FEA) are compared to the characteristics found for the developed analytical models, as are experimental testing results (primary motion) from the prototyped 3-PPPRR XYZ CPM with overlapping SCs. Finally, issues on large-range motion and dynamics of such designs are discussed, as are possible improvements of the actuated compliant P joint. It is shown that the potential merits of the designs presented here include a) minimised parasitic rotations by only using three identical compliant legs; b) compact configurations and small size due to the use of embedded designs; c) approximately kinematostatically decoupled designs capable of easy controls; and d) monolithic fabrication for each leg using existing planar manufacturing technologies such as electric discharge machining (EDM).

Type
Articles
Copyright
Copyright © Cambridge University Press 2014 

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References

1. Howell, L. L., Compliant Mechanisms, (Wiley, New York, 2001).Google Scholar
2. Schitter, G., Thurner, P. J. et al., “Design and Input-Shaping Control of a Novel Scanner for High-Speed Atomic Force Microscopy”, Mechatronics, Vol. 18: 282288 (2008).Google Scholar
3. Werner, C., Rosielle, P. C. J. N. and Steinbuch, M., “Design of a Long Stroke Translation Stage for AFM”, International Journal Machine Toolsand Manufacture, Vol. 50 (2): 183190 (2010).Google Scholar
4. Weckenmann, A. and Hoffmann, J., “Long Range 3D Scanning Tunnelling Microscopy”, CIRP Annals - Manufacturing Technology, Vol. 56 (1): 525528 (2007).Google Scholar
5. Shinno, H. and Yoshioka, H., “A Newly Developed Three-Dimensional Profile Scanner with Nanometer Spatial Resolution”, CIRP Annals – Manufacturing Technology, Vol. 59 (1): 525528 (2010).Google Scholar
6. Gorman, J. J. and Dagalakis, N. G., “Force Control of Linear Motor Stages for Microassembly,” ASME 2003 International Mechanical Engineering Conference and Exposition, Washington, DC, USA (November 15–21, 2003) IMECE2003-42079, pp. 615623.Google Scholar
7. Vettiger, P., Despont, M., Drechsler, U., Durig, U., Haberle, W., Lutwyche, M. I., Rothuizen, H. E., Stutz, R., Widmer, R. and Binnig, G. K., “The Millipede—More Than One Thousand Tips for Future AFM Data Storage”, IBM Journal of Research and Development, Vol. 44 (3): 323340 (2000).Google Scholar
8. Martock Design Limited, 1987, Adjustable Mountings, United States Patent, No.:4635887.Google Scholar
9. Awtar, S. and Slocum, A. H., “Constraint-Based Design of Parallel Kinematic XY Flexure Mechanisms”, Journal of Mechanical Design, Vol. 129 (8): 816830 (2007).Google Scholar
10. Awtar, S., and Parmar, G., “Design and a Large Range XY Nanopostioning System”, Proceedings of the ASME 2010 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Montreal, Quebec, Canada (August 15–18, 2010) DETC2010–28185.Google Scholar
11. Li, Y., and Xu, Q., “A Totally Decoupled Piezo-Driven XYZ Flexure Parallel Micropositioning Stage for Micro/Nanomanipulation”, IEEE Transactions on Automation Science and Engineering. Vol. 8 (2): 265279 (2011).CrossRefGoogle Scholar
12. Yue, Y., Gao, F., Zhao, X. and Ge, Q., “Relationship among Input-Force, Payload, Stiffness and Displacement of a 3-DOF Perpendicular Parallel Micro-Manipulator”, Mechanism and Machine Theory, Vol. 45 (5): 756771 (2010).CrossRefGoogle Scholar
13. Awtar, S., Ustick, J. and Sen, S., “An XYZ Parallel Kinematic Flexure Mechanism with Geometrically Decoupled Degrees of Freedom”, Proceedings of the ASME 2011 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Washington, DC, USA (August 29–31, 2011) DETC2011-47713.Google Scholar
14. Yun, Y. and Li, Y., “Optimal Design of a 3PUPU Parallel Robot with Compliant Hinges for Micromanipulation in a Cubic Workspace”, Robotics and Computer-Integrated Manufacturing, Vol. 27 (6): 977985 (2011).Google Scholar
15. Hao, G. and Kong, X., “Design and Modelling of a Large-Range Modular XYZ Compliant Parallel Manipulators Using Identical Spatial Modules”, Journal of Mechanisms and Robotics, Vol. 4: 021009 (2012).Google Scholar
16. “3-Axis Stages and Flexure Platforms”, Thorlabs Inc, Newton, New Jersey, USA. http://www.thorlabs.com/navigation.cfm?guide_id=142 (Accessed on 10 February 2014).Google Scholar
17. “P-611.3 NanoCube® XYZ Piezo Stage”, Physik Instrumente (PI), Karlsruhe, Germany. http://www.physikinstrumente.com/en/products/prdetail.php?sortnr=201700 (Accessed on 10 February 2014).Google Scholar
18. Hao, G., Kong, X. and Reuben, R. L., “A Nonlinear Analysis of Spatial Compliant Parallel Modules: Multi-beam Modules”, Mechanism and Machine Theory, Vol. 46 (5): 680706 (2011).Google Scholar
19. Kong, X. and Gosselin, C. M., Type Synthesis of Parallel Mechanisms, (Springer, Berlin, 2007)Google Scholar
20. Hao, G., “A 2-legged XY parallel flexure motion stage with minimized parasitic rotation”, Proceedings of the IMechE, Part C: Journal of Mechanical Engineering Science. doi:10.1177/0954406214526865 (in press).Google Scholar
21. Howell, L. L., Maglegy, S. P. and Olsen, B. M., Handbook of Compliant Mechanisms, (Wiley, New York, 2013)Google Scholar
22. Hao, G., Meng, Q. and Li, Y., “Design of Large-range XY Compliant Parallel Manipulators Based on Parasitic Motion Compensation”, Proceedings of the ASME 2013 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Portland, Oregon, USA. (August 4–7, 2013) DETC2013–12206.Google Scholar