C. F. Lin1 and C. J. Shih This email address is being protected from spambots. You need JavaScript enabled to view it.1

1Department of Mechanical and Electro-Mechanical Engineering, Tamkang University, Tamsui, Taiwan 251, R.O.C.


 

Received: March 24, 2005
Accepted: September 16, 2005
Publication Date: September 1, 2006

Download Citation: ||https://doi.org/10.6180/jase.2006.9.3.04  


ABSTRACT


The topology synthesis approach can generate a creative initial optimized configuration and can generate approximately well locations of hinges. It is particularly useful to form a monolithic compliant mechanism in MEMS application. However, the formation of hinges-like portion is typically encountered as a major unsolved problem. Such hinges unavoidably exist in the topological layout but cannot practically manufacture. This paper proposes an approach using the analytic single-axis flexure hinge integrated with the formal optimization as a post-design process to obtain optimum flexure hinges and its location for promoting the overall performance. A compliant micro gripper/magnifying mechanism is adopted as an example to illustrate the presenting approach; and a multi-objective optimization problem consisting of several constraints are constructed to determine nine unknowns. The numerical experiment shows the proposed post-optimum design is effective and can be utilized to other similar design situation.


Keywords: Flexure Hinge, Compliant Mechanism, Engineering Optimization, MEMS, Mechanical Design


REFERENCES


  1. [1] Sigmund, O., “On the Design of Compliant Mechanisms Using Topology Optimization,” MECH. STRUCT. & MACH., Vol. 25, pp. 493524 (1997).
  2. [2] Kota, S., Hetrick, J., Li, Z. and Saggere, L., “Tailoring Unconventional Actuators Using Compliant Transmissions: Design Methods and Applications,” IEEE/ASME Transactions on Mechatronics, Vol. 4 (1999).
  3. [3] Nishiwaki, S., Frecker, M. I., Min, S. and Kikuchi, N, “Topology Optimization of Compliant mechanisms Using the Homogenization Method,” Int. J. Numer. Meth. Eng., Vol. 42, pp. 535559 (1998).
  4. [4] Pedersen, C. B.W., Buhl, T. and Sigmund, O., “Topology Synthesis of Large-Displacement Compliant Mechanisms,” Int. J. Numer. Meth. Eng., Vol. 50, pp. 26832705 (2001).
  5. [5] Oh, Y. S., Lee, W. H., Stephanow, H. E. and Skidmore, G. D., “Design, Optimization, and Experiments of Compliant Micro gripper,” Proceedings of ASME International Mechanical Engineering Congress, Washinton, D. C., November 1521 (2003).
  6. [6] Pedersen, C. B. and Seshia, A. A., “On the Optimization of Compliant Force Amplifier Mechanisms for Surface Micromachined Resonant Accelerometers,” J. Micromech. Microeng, Vol. 14, pp. 12811293 (2004).
  7. [7] Du, H., Lau, G. K., Lim, M. K. and Qui, J., “Topological Optimization of Mechanical Amplifiers for Piezoelectric Actuators Under Dynamic Motion,” Smart Mater. Struc., Vol. 9, pp. 788800 (2000).
  8. [8] Diaz, A. R. and Sigmund, O., “Checkboard Patterns in Layout Optimization,” Struct Optim, Vol. 10, pp. 40 45 (1995).
  9. [9] Yoon, G. H., Kim, Y. Y., BendsØe, M. P. and Sigmund, O., “Hinge-Free Topology Optimization with Embedded Translation-Invariant Differentiable Wavelet Shrinkage,” Struct Multidisc Optim, Vol. 27, pp. 139150 (2004).
  10. [10] Borrvall, T., “Topology Optimization Using regularized Intermediate Density Control,” Comput Methods Appl mech Eng, Vol. 190, pp. 49114928 (2001).
  11. [11] Poulsen, T. A., “A Simple Scheme to Prevent Checkerboard Patterns and One-node Connected Hinges in Topology Optimization,” Struct Multidisc Optim, Vol. 24, pp. 396399 (2002).
  12. [12] Poulsen, T. A., “A New Scheme for Imposing a Minimum Length Scale in Topology Optimization,” Int J Numer Methods Eng., Vol. 57, pp. 741760 (2003).
  13. [13] Chen, W. and Lin, W., “Design of a Flexure-based Gripper Used in Optical Fiber Handling,” IEEE International Conference on Robotics, Automation and Mechatronics (ICRAM 2004), Singapore, 13 December (2004).
  14. [14] Paros, J. M. and Weisbord, L., “How to Design Flexure Hinges,” Machine Design, November 25, pp. 151156 (1965).
  15. [15] Tsao, C. Y., “Design, Analysis and Testing of Micro Assembly Systems,” Master thesis, Department of Mechanical Engineering, National Cheng Kung University, Taiwan, R.O.C. (2000).
  16. [16] Shih, C. J. and Hajela, P., “Multi-criterion Optimum Design of Belleville Spring Stacks with Discrete and Integer Decision Variables,” Engineering Optimization, Vol. 15, pp. 4355 (1989).


Latest Articles