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Optimized Flexural Hinges for Compliant Micromechanisms

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Abstract

In this work a procedure for the optimal design of flexural hinges to be microfabricated by a lithographic process is proposed. The structural optimization problem is approached by coupling a parametric finite element model to an optimization algorithm. A computer code was developed to generate the mesh at each optimization step accordingly to the values of the design parameters provided by an optimization toolbox. The objective function is the rotation of the mechanism, which must be maximized. The solution is constrained by strength and kinematical requirements. The notch shape is described by spline functions according to an original procedure developed by the authors. Results show that, with respect to the usual design approach, the proposed method permits a significant improvement of the hinge characteristic to be obtained.

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References

  1. L.L. Howell, Compliant Mechanisms. J. Wiley & Sons: New York, 2001.

    Google Scholar 

  2. N. Lobontiu, Compliant Mechanisms: Design of Flexible Hinges. CRC Press: Boca Raton, FL, USA, 2002.

    Google Scholar 

  3. J.M. Paros and L. Weisbord, “How to design flexures hinges.” Machine Design, vol. 15, pp. 151–156, 1965.

    Google Scholar 

  4. N. Lobontiu, J.S.N. Paine, E. Garcia, and M. Goldfarb, “Design of symmetric conic-section flexure hinges based on closed form compliance equations.” Mechanism and Machine Theory, vol. 37, no. 5, pp. 477–498, 2002.

    Google Scholar 

  5. S.D. Senturia, Microsystem Design. Kluwer Academic Publishers: Boston, 2001.

    Google Scholar 

  6. V.P. Jaecklin, C. Linder, N.F. de Rooij, and J.M. Moret, “Micromechanical comb actuators with low driving voltage.” J. Micromech. Microeng, vol. 2, pp. 250–255, 1992.

    Google Scholar 

  7. M.S. Rodger, J.J. Allen, K.D. Meeks, B.D. Jensen, and S.L. Miller, “A microelectromechanical high density energy storage/ rapid realise system.” Proc of the SPIE, vol. 3876, pp. 212–222, 1999.

    Google Scholar 

  8. S. Butefisch, V. Seidemann, and S. Buttgenbach, “A new pneumatic actuator for micromechanical systems,” in Proc. of the 11th Conference on Solid State Sensors and Actuators, Munich (Germany), June 10–14, 2001, pp. 722–725.

  9. S. Nishiwaki, S. Min, S. Ejima, and N. Kikuchi, “Structural optimization considering flexibility.” JSME International Journal, Series C, vol. 41, pp. 476–484, 1998.

    Google Scholar 

  10. H.A. Eschenauer and N. Olhoff, “Topology optimization of continuum structures: A review.” Appl Mech Rev vol. 54, pp. 331–390, 2001.

    Google Scholar 

  11. G.K. Anathasuresh and K. Sridhar, “Designing compliant mechanisms.” Mechanical Engineering, November, pp. 93–99, 1995.

  12. S. Kota, J. Joo, Z. Li, S.M. Rodgers, and J. Sniegowski, “Design of compliant mechanisms: Applications to MEMS.” Analog Integrated Circuits and Signal Processing, vol. 29, pp. 7–15, 2001.

    Google Scholar 

  13. B.D. Jensen, M.B. Parkinson, K. Kurabayashi, L.L. Howell, and M.S. Baker, “Design optimization of a fully bistable micro-mechanism,” in Proc. of the 2001 ASME International Mechanical Engineering Congress and Exposition, New York, NY, November 11–16, 2001, pp. 1–7.

  14. M.B. Parkinson, L.H. Howell, and J.J. Cox, “A parametric approach to the optimization-based design of compliant mechanisms,” in Proc. of DETC’97, ASME Design Engineering Technical Conferences, Sacramento, California, September 14–17 1997, pp 1–8, 1997.

  15. U.D. Larsen, O. Sigmund, and S. Bouwstra, “Design and fabrication of compliant micromechanisms and structures with negative Poisson’s ratio,” IEEE J. Microelectromech. Syst., vol. 6, pp. 99–106, 1997.

    Google Scholar 

  16. J.A. Hetrick and S. Kota, “An energy formulation for parametric size and shape optimization of compliant mechanisms,” J. Mech. Design, vol. 121, pp. 229–234, 1999.

    Google Scholar 

  17. L.L. Howell and A. Midha, “A method for the design of compliant mechanisms with small-length flexural pivots.” J. Mech. Design, vol. 116, pp. 280–290, 1994.

    Google Scholar 

  18. M. Madou, Fundamentals of Microfabrication, 2nd edition, CRC Press, Boca Raton, FL, USA, 1997.

    Google Scholar 

  19. R.E. Peterson, Stress Concentration Factors. John Wiley & Sons, New York, 1974.

    Google Scholar 

  20. T. Coleman, M.A. Branch, and A. Grace, Optimization Toolbox for Use with MATLAB. The MathWorks: Natick, MA, USA, 1999.

    Google Scholar 

  21. ANSYS Theory Reference, ANSYS, Inc, Canonsburg: PA, USA, ANS, 2002.

    Google Scholar 

  22. ANSYS Advanced Analysis Technique Guide, 4th edition, ANSYS, Inc: Canonsburg, PA, USA, 1999.

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Correspondence to F. De Bona.

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Francesco De Bona Born in Udine (Italy), on July 8th, 1959. Graduated Mechanical Engineer in 1983 and PhD in Applied Mechanics at Politecnico di Torino in 1987. Head of the Micromechanics laboratory at Sincrotrone Trieste from 1988 to 1995. Since 1996 in staff at DIEGM, Università di Udine. Since 2000 full professor of Applied Mechanics at Università di Udine. Research activity in computational and experimental mechanics for biomedical applications, aerospace, microfabrication and microsystems design. Scientific coordinator of 3 European Union research projects on microsystems. More then 70 scientific publications, 3 patents.

Mircea Gh. Munteanu Born in Brasov (Romania), on April 5th, 1946. Graduated Mechanical Engineer in 1968 and PhD in Applied Mechanics at Transilvania University of Brasov, Romania. Since 1979 in staff at Stress Analysis and Mechanical Vibrations, Transilvania University of Brasov. Since 1993 full professor Stress Analysis and Mechanical Vibrations, Transilvania University of Brasov. Invited professor at Università di Udine, Italia, in the framework of a grant related to microsystems design. Research activity on static and dynamic FEM analysis of mechanical structures, multibody systems, precision engineering, microsystem design. More then 100 publications on national and international journals and congresses, several books.

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De Bona, F., Munteanu, M.G. Optimized Flexural Hinges for Compliant Micromechanisms. Analog Integr Circ Sig Process 44, 163–174 (2005). https://doi.org/10.1007/s10470-005-2597-7

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