Abstract
A compliant joint is used to store and transfer the elastic energy for flexure-based mechanisms. This paper proposes a robust parameter design and analysis for a leaf compliant joint. The joint can achieve a large working travel in the micrometer range. The sensitivity of length l, width w, thickness t and filleted radius r of the joint on the responses are analyzed via finite element method. The parasitic error, dynamics and stiffness are then described. In addition, the stiffness of the joint is reinforced via embedded the silicone rubber into the cavity. Subsequently, the robust optimization of parameters is conducted via the Taguchi method. Analysis of variance is used to determine the effect degree of each parameter. To solve the continuous optimization problem, the second optimization is carried out by integrating of the response surface methodology and differential evolution algorithm. Compared with the genetic algorithm, the proposed optimization method has a faster convergence. The experimental validation is performed to measure the displacement of the joint. The results indicated that the joint can achieve the displacement up to 140.93 \(\upmu \hbox {m}\). The proposed hybrid optimization algorithm can improve the performance of the leaf compliant joint. The proposed joint can be used for the micro-indentation device for testing the micromechanical properties of micro-sized materials. It can be also developed for biomedical rehabilitation devices to assist disable people.
Similar content being viewed by others
References
Choi, K.B.; Lee, J.J.: Passive compliant wafer stage for single-step nano-imprint lithography. Rev. Sci. Instrum. 76, 075106 (2005)
Zhang, L.; Dong, J.: High-rate tunable ultrasonic force regulated nanomachining lithography with an atomic force microscope. Nanotechnology 23, 085303 (2012)
Tian, Y.; Shirinzadeh, B.; Zhang, D.: A flexure-based five-bar mechanism for micro/nano manipulation. Sens. Actuators A Phys 153, 96–104 (2009)
Kim, G.W.; Kim, J.: Compliant bistable mechanism for low frequency vibration energy harvester inspired by auditory hair bundle structures. Smart Mater. Struct. 22, 014005 (2013)
Howell, L.L.: Compliant Mechanisms. Wiley, Hoboken (2001)
Howell, L.L.; Magleby, S.P.; Olsen, B.M.: Handbook of Compliant Mechanisms. Wiley, Hoboken (2013)
Smith, S.T.: Flexures-Elements of Elastic Mechanisms. Gordon and Breach Sci. Publ, New York (2000)
Huang, S.C.; Lan, G.J.: Design and fabrication of a micro-compliant amplifier with a topology optimal compliant mechanism integrated with a piezoelectric microactuator. J. Micromech. Microeng. 16, 531 (2006)
Huang, S.C.; Dao, T.P.: Multi-objective optimal design of a 2-DOF flexure-based mechanism using hybrid approach of grey-Taguchi coupled response surface methodology and entropy measurement. Arab. J. Sci. Eng. 41(12), 5215–5231 (2016)
Dao, T.P.; Huang, S.C.: Design, fabrication, and predictive model of a 1-DOF translational, flexible bearing for high precision mechanism. Trans. Can. Soc. Mech. Eng. 39(3), 419–429 (2015)
Dao, T.P.; Huang, S.C.: Compliant thin-walled joint based on zygoptera nonlinear geometry. J. Mech. Sci. Technol. 31(3), 1293–1303 (2017)
Dao, T.P.: Multiresponse optimization of a compliant guiding mechanism using hybrid Taguchi-grey based fuzzy logic approach. Math. Probl. Eng. 2016, 1–17 (2016)
Huang, S.C.; Dao, T.P.: Design and computational optimization of a flexure-based xy positioning platform using FEA-based response surface methodology. Int. J. Precis. Eng. Manuf. 17(8), 1035–1048 (2016)
Dao, T.P.; Huang, S.C.: Design and analysis of a compliant micro-positioning platform with embedded strain gauges and viscoelastic damper. Microsyst. Technol. 23(2), 441–456 (2016)
Dao, T.P.; Huang, S.C.: Optimization of a two degrees of freedom compliant mechanism using Taguchi method-based grey relational analysis. Microsyst. Technol. 1–16 (2017). doi:10.1007/s00542-017-3292-1
Omer, A.T.; Su, H.J.: A general and efficient multiple segment method for kinetostatic analysis of planar compliant mechanisms. Mech. Mach. Theory 112, 205–217 (2017)
Acer, M.; Şabanoviç, A.: Design, kinematic modeling and sliding mode control with sliding mode observer of a novel 3-PRR compliant mechanism. Adv. Robot. 30, 1228–1242 (2016)
Tolman, K.A.; Merriam, E.G.; Howell, L.L.: Compliant constant-force linear-motion mechanism. Mech. Mach. Theory 106, 68–79 (2016)
Hao, G.; Yu, J.: Design, modelling and analysis of a completely-decoupled XY compliant parallel manipulator. Mech. Mach. Theory 102, 179–195 (2016)
Nelson, T.G.; Lang, R.J.; Magleby, S.P.; Howell, L.L.: Curved-folding-inspired deployable compliant rolling-contact element (D-CORE). Mech. Mach. Theory. 96(Part 2), 225–238 (2016)
Wan, S.; Xu, Q.: Design and analysis of a new compliant XY micropositioning stage based on Roberts mechanism. Mech. Mach. Theory 95, 125–139 (2016)
Zhu, W.L.; Zhu, Z.; Shi, Y.; Wang, X.; Guan, K.; Ju, B.F.: Design, modeling, analysis and testing of a novel piezo-actuated XY compliant mechanism for large workspace nano-positioning. Smart Mater. Struct. 25(11), 115033 (2016)
Goldberg, D.E.; Holland, G.H.: Genetic algorithms and machine learning. Mach. Learn. 3(2), 95–99 (1988)
Acknowledgements
This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant Number 107.01-2016.20.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Le Chau, N., Dang, V.A., Le, H.G. et al. Robust Parameter Design and Analysis of a Leaf Compliant Joint for Micropositioning Systems. Arab J Sci Eng 42, 4811–4823 (2017). https://doi.org/10.1007/s13369-017-2682-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13369-017-2682-0