Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-11-10T22:30:10.231Z Has data issue: false hasContentIssue false

Compliance modeling of a full 6-DOF series–parallel flexure-based Stewart platform-like micromanipulator

Published online by Cambridge University Press:  22 March 2022

Suraj Kumar Mishra*
Affiliation:
Robotics and Intelligent Systems Laboratory, Department of Mechanical Engineering, Indian Institute of Technology, Kharagpur, India
Cheruvu Siva Kumar
Affiliation:
Robotics and Intelligent Systems Laboratory, Department of Mechanical Engineering, Indian Institute of Technology, Kharagpur, India
*

Abstract

With many micromanipulator designs emerging in micro and nanosystem applications, the element of compliance in the mechanisms is gaining attention. Several designs consider motions limited in a plane for high accuracy and repeatability as needed in micro/nano manipulation applications. Extending this to a full spatial configuration with coupled motions of series and parallel linkages with flexure joints of 1-degree-of-freedom (DOF) and 3-DOF needs a systematic analytical approach. One such approach for compliance analysis is presented in this article for a mechanism designed at Indian Institute of Technology Kharagpur. To validate the analytical models, finite element analysis simulations are performed with the help of the Abaqus-6.14 software package. Following the successful validation, the effect of structural parameters on the performance is presented with the help of the analytical expressions. We explore the performance of the mechanism with different dimensions of flexures of a particular type. Results indicate that the design with dissimilar dimensional parameters can give superior performance.

Type
Research Article
Copyright
© The Author(s), 2022. Published by Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Howell, L. L.. Compliant Mechanisms (John Wiley & Sons, 2001).Google Scholar
Pham, H. H. and Chen, I. M., “Stiffness modeling of flexure parallel mechanism,” Precis. Eng. 29(4), 467478 (2005).CrossRefGoogle Scholar
Hb, T., Hw, M., Xia, J., Ma, K. and Zz, L., “Stiffness analysis of a metamorphic parallel mechanism with three configurations,” Mech. Mach. Theory 142(7), 103595 (2019).Google Scholar
Wang, N., Zhang, Z. and Zhang, X., “Stiffness analysis of corrugated flexure beam using stiffness matrix method,” Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci. 233(5), 18181827 (2019).CrossRefGoogle Scholar
Ling, M., Howell, L. L., Cao, J. and Chen, G., “Kinetostatic and dynamic modeling of flexure-based compliant mechanisms: A survey,” Appl. Mech. Rev. 72(3), 1 (2020).10.1115/1.4045679CrossRefGoogle Scholar
Howell, L. L. and Midha, A., “A method for the design of compliant mechanisms with small-length flexural pivots,” J. Mech. Des. 116(1), 280290 (1994).CrossRefGoogle Scholar
Tang, X. and Chen, I. M., “A Large-displacement 3-DOF Flexure Parallel Mechanism with Decoupled Kinematics Structure,” In: 2006 IEEE/RSJ International Conference on Intelligent Robots and Systems (IEEE, 2006) pp. 16681673.10.1109/IROS.2006.282122CrossRefGoogle Scholar
Li, Y. and Xu, Q., “A novel piezoactuated XY stage with parallel, decoupled, and stacked flexure structure for micro-/nanopositioning,” IEEE Trans. Ind. Electron. 58(8), 36013615 (2010).10.1109/TIE.2010.2084972CrossRefGoogle Scholar
Li, Y. and Wu, Z., “Design, analysis and simulation of a novel 3-DOF translational micromanipulator based on the PRB model,” Mech. Mach. Theory 100(9), 235258 (2016).10.1016/j.mechmachtheory.2016.02.001CrossRefGoogle Scholar
Herpe, X., Walker, R., Dunnigan, M. and Kong, X., “On a simplified nonlinear analytical model for the characterisation and design optimisation of a compliant XY micro-motion stage,” Robot. Comput. Integr. Manuf. 49, 6676 (2018).CrossRefGoogle Scholar
Xu, S., Zhu, X., Dong, Z. and Liu, P., “Nonlinear modeling and analysis of compliant mechanisms with circular flexure hinges based on quadrature beam elements,” Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci. 233(9), 32773285 (2019).10.1177/0954406218802945CrossRefGoogle Scholar
Li, Y. and Xu, Q., “Design and analysis of a totally decoupled flexure-based XY parallel micromanipulator,” IEEE Trans. Robot. 25(3), 645657 (2009).Google Scholar
Liang, Q., Zhang, D., Chi, Z., Song, Q., Ge, Y. and Ge, Y., “Six-DOF micro-manipulator based on compliant parallel mechanism with integrated force sensor,” Robot. Comput. Integr. Manuf. 27(1), 124134 (2011).10.1016/j.rcim.2010.06.018CrossRefGoogle Scholar
Klimchik, A., Pashkevich, A. and Chablat, D., “Fundamentals of manipulator stiffness modeling using matrix structural analysis,” Mech. Mach. Theory 133, 365394 (2019).CrossRefGoogle Scholar
Wu, S., Shao, Z., Su, H. and Fu, H., “An energy-based approach for kinetostatic modeling of general compliant mechanisms,” Mech. Mach. Theory 142(2), 103588 (2019).CrossRefGoogle Scholar
Zhang, D., Li, P., Zhang, J., Chen, H., Guo, K. and Ni, M., “Design and assessment of a 6-DOF Micro/nanopositioning system,” IEEE/ASME Trans. Mechatron. 24(5), 20972107 (2019).Google Scholar
Al-Jodah, A., Shirinzadeh, B., Ghafarian, M., Das, T. K. and Pinskier, J., “Design, modeling, and control of a large range 3-DOF micropositioning stage,” Mech. Mach. Theory 156(1), 104159 (2021).Google Scholar
Chen, F., Dong, W., Yang, M., Sun, L. and Du, Z., “A PZT actuated 6-DOF positioning system for space optics alignment,” IEEE/ASME Trans. Mechatron. 24(6), 28272838 (2019).CrossRefGoogle Scholar
Kang, S., Lee, M. G. and Choi, Y. M., “Six degrees-of-freedom direct-driven nanopositioning stage using crab-leg flexures,” IEEE/ASME Trans. Mechatron. 25(2), 513525 (2020).10.1109/TMECH.2020.2972301CrossRefGoogle Scholar
Chen, F., Zhang, Q., Gao, Y. and Dong, W., “A review on the flexure-based displacement amplification mechanisms,” IEEE Access 8, 205919205937 (2020).10.1109/ACCESS.2020.3037827CrossRefGoogle Scholar
Lobontiu, N., Hunter, J., Keefe, J. and Westenskow, J., “Tripod mechanisms with novel spatial Cartesian flexible hinges,” Mech. Mach. Theory 167(8), 104521 (2022).CrossRefGoogle Scholar
Ling, M., Song, D., Zhang, X., He, X., Li, H., Wu, M., et al., “Analysis and design of spatial compliant mechanisms using a 3-D dynamic stiffness model,” Mech. Mach. Theory 168(7), 104581 (2022).CrossRefGoogle Scholar
Mishra, S. K. and Kumar, C. S., “Design and Kinematics of a Compliant Stewart Micromanipulator,” In: 2018 International Conference on Manipulation, Automation and Robotics at Small Scales (MARSS) (IEEE, 2018) pp. 16.Google Scholar
Paros, J. M. and Weisbord, L., “How to design flexure hinges,” Mach. Des. 37, 151156 (1965).Google Scholar
Lobontiu, N.. Compliant Mechanisms: Design of Flexure Hinges (CRC Press, 2002).10.1201/9781420040272CrossRefGoogle Scholar
Smith, S. T.. Flexures: Elements of Elastic Mechanisms (CRC Press, 2014).Google Scholar
Stewart, D., “A platform with six degrees of freedom,” Proc. Inst. Mech. Eng. 180(1), 371386 (1965).10.1243/PIME_PROC_1965_180_029_02CrossRefGoogle Scholar
Gough, V. E., “Universal Tyre Test Machine,” In: Proceedings of the FISITA 9th International Technical Congress, (London, 1962) pp. 117137.Google Scholar
Yong, Y. K. and Lu, T. F., “Kinetostatic modeling of 3-RRR compliant micro-motion stages with flexure hinges,” Mech. Mach. Theory 44(6), 11561175 (2009).10.1016/j.mechmachtheory.2008.09.005CrossRefGoogle Scholar
Li, Y., Huang, J. and Tang, H., “A compliant parallel XY micromotion stage with complete kinematic decoupling,” IEEE Trans. Autom. Sci. Eng. 9(3), 538553 (2012).CrossRefGoogle Scholar
Maple 18 User Manual, Waterloo Maple (Maplesoft) (2014).Google Scholar
Abaqus 6.14 Documentation, Dassault Systemes Simulia Corporation (2014).Google Scholar
Koseki, Y., Tanikawa, T., Koyachi, N. and Arai, T., “Kinematic analysis of a translational 3-dof micro-parallel mechanism using the matrix method,” Adv. Robot. 16(3), 251264 (2002).CrossRefGoogle Scholar