Design of Compact Compliant Devices – Mathematical Models vs. Experiments

Jaroslav Hricko^1, and Stefan Havlik¹

¹Institute of Informatics, Slovak Academy of Sciences, Banska Bystrica, Slovakia

Cite this paper:
Jaroslav Hricko and Stefan Havlik. Design of Compact Compliant Devices – Mathematical Models vs. Experiments. American Journal of Mechanical Engineering. 2015; 3(6):201-206. doi: 10.12691/ajme-3-6-9

Abstract

The wide range of applications requires using compact compliant structures that exhibit specific functional features different from traditional mechanisms. Therefore the design process, beside known design methods, should include procedures for mathematical modeling and performance simulation of final product. The best way is recommended to build the physical / hybrid model and to compare results from both models. This paper describes the design procedure of a micro-positioning device (gripper) based on compliant mechanisms. The complex performance test of the hybrid (mathematical – physical) model of the device are made on the test bed have been developed for this purpose. The laboratory test equipment includes linear actuator with force sensing and webcam for sensing positions / deflections. It enables experimentations in order to verify quasi real functional characteristics of the designed device with expected features from theoretical / mathematical models. Results from experimental measurements and their comparison with data from mathematical models are shown.

Keywords:
compact compliant devices micro-gripper modeling and simulation image processing

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References:

[1]	Howell, L.L, Magleby, S.P., Olsen, B.M. Handbook of Compliant Mechanisms, John Wiley & Sons Ltd., 2013.
[2]	Havlík, Š. Design of smart robotic mechanisms. In RAAD 2014: 23rd International Conference on Robotics in Alpe-Adria-Danube Region, IEEE, 2014.
[3]	Vagaš, M., Hajduk, M., Semjon, J., Páchniková, L., Jánoš, R., The view to the current state of robotics, Advanced Materials Research. Vol. 463-464, 2012, p. 1711-1714.
[4]	Lobontiu, N., et. al. Corner-Filleted Flexure Hinges, Journal of Mechanical Design, vol. 123, No. 3, 2000, pp. 346-352.
[5]	Yong, Y. K., Lu, T-F. Kinetostatic modeling of 3-RRR compliant micro-motion stages with flexure hinges, Mechanism and Machine Theory, Volume 44, Issue 6, June 2009, Pages 1156-1175.
[6]	Nishiwaki, S., Frecker, M.I., Min, S., Kikuchi, N. Topology optimization of compliant mechanisms using the homogenization method, Int. J. Numer. Meth. Engng. 42, 535-559 (1998).
[7]	Luo, Z., Tong, L., Wang, M.Y. Design of distributed compliant micromechanisms with an implicit free boundary representation, Struct Multidisc Optim (2008) 36:607-621.
[8]	Celler, P., Hricko, J. Design of simple microgripper. Technical report BP, FM TnUAD v Trenčíne, Trenčín, 2009, 75 s. (in slovak).
[9]	Hricko, J., Havlík, Š. Small-size robotic tools with force sensing. In Modern Machinery Science Journal: 20th International Workshop on Robotics in Alpe-Adria-Danube Region. 2011, special edition, p. 73-77.
[10]	Hricko, J. Modelling compliant mechanisms - comparison of models in MATLAB/SimMechanics vs. FEM. In RAAD 2012: 21th International Workshop on Robotics in Alpe-Adria-Danube Region. Naples: Edizioni Scientifiche e Artistiche, 2012, p. 57-62.
[11]	Smith, T.S. Flexures: elements of elastic mechanisms. Gordon and Breach Science Publishers, 2000, 448 p.
[12]	Lobontiu, N. Compliant Mechanisms: Design of Flexure Hinges. Florida: CRC Press LLC, 2003, 447p.
[13]	Adhikari, S. Damping modelling using generalized proportional damping, Journal of Sound and Vibration, Vol. 293, 156-170.
[14]	Xu, Q., Li, Y. Stiffness Modeling for an Orthogonal 3-PUU Compliant Parallel Micromanipulator, Proceedings of the 2006 IEEE International Conference on Mechatronics and Automation, June 25 - 28, 2006, Luoyang, China.
[15]	Sciavicco, L., Siciliano, B. Modeling and Control of Robot Manipulators. New York: The McGraw-Hill Companies, Inc..
[16]	SMC Corporation, Card Motor - Series LAT3, id.: CAT.ES100-96B, http://ca01.smcworld.com/catalog/New-products-en/pdf/es10 0-96-lat3.pdf [Accessed Sep. 16, 2015].
[17]	Ďurovský, F. Robust Rubik’s Cube Detection Using Hough Transform and Advanced Clustering Functions, Applied Mechanics and Materials, Vol. 613, pp. 253-264, Aug. 2014.
[18]	Sukop, M., Hajduk, M., Vagas, M. Transferring image processing algorithms on application with multi arm robot and mobile phone, In RAAD 2014: 23rd International Conference on Robotics in Alpe-Adria-Danube Region, IEEE, 2014.