Topological Optimum Design of a Compliant Mechanism for Planar Optical Modulator

C.F. Lin; C.J. Shih

doi:10.6180/jase.2002.5.3.04

Topological Optimum Design of a Compliant Mechanism for Planar Optical Modulator

C. F. Lin This email address is being protected from spambots. You need JavaScript enabled to view it.¹ 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: July 5, 2002
Accepted: August 12, 2002
Publication Date: September 1, 2002

Download Citation: ||https://doi.org/10.6180/jase.2002.5.3.04

ABSTRACT

The rotator type of optical modulating component modulator requires a planar angular rotator to control different angles for modulating the dissimilar light. If simply using the S-shape beam to behave a pin-joint, the rotator angle will be limited. The design target accordingly needs to maximize the range of output angle for satisfying the prescribed linear output positions or can be a sort of the generation function between the input and output. This paper applies the material distribution method of SIMP (Solid Isotropic Microstructure with Penalization) in the topological optimization to deal it. The objective function consists of maximizing the output range and minimizing the error between prescribed function and real output function with volume limit as the design constraint. The model presented in this paper is a preliminary successful work that requires further efforts towards the practical phase.

Keywords: Topology Optimization, Compliant Mechanism, Structural Optimization, Micro-Electro Mechanical Structure, Engineering Design, Computer-Aided Design

REFERENCES

[1] Fatikow, S. and Rembold, U., Microsystem Technology and Microrobotics, SpringerVerlag (1997).
[2] Nielson, A. J. and Howell, L., “An Investigation of Compliant Mircro-halfplatographs Using the Pseudo-rigid Body Model,” Mech. Struc. & Mach., Vol. 29, pp. 317-330 (2001).
[3] Thomell, G., Bexell, M., Schweitz, J-A and Johansson, S., “The Design and Fabrication of a Gripping Tool for Micromanipulation,” The 8th International Conference on Solid-State Sensors and Actuators, Sweden, Vol. 2, pp. 388-391 (1995).
[4] Hetrick, J. A. and Kota, S., “An Energy Formulation for Parametric Size and Shape Optimization of Compliant Mechanisms,” Journal of Mechanical Design, Vol. 121, pp. 229-234 (1999).
[5] BendsØe, M. P., and Kikuchi, N., “Generating Optimal Topologies in Structural Design Using a Homogenization Method,” Computer Method in Applied Mechanics and Engineering, Vol. 71, pp. 197-224 (1988).
[6] Mlejnek, H. P. and Schirrmacher, R., “An Engineering's Approach to Optimal Material Distribution and Shape Finding,” Computer Method in Applied Mechanics and Engineering, Vol. 106, pp. 1-26 (1993).
[7] BendsØe, M. P., and Haber, R. B., “The Michell Layout Problem as a Low Volume Fraction Limit of the Perforated Plate Topology Optimization Problem: an Asymptotic Study,” Structural Optimization, Vol. 6, pp. 263-267 (1993).
[8] Rozvany, G. I. N., “Aims, Scope, Methods, History and Unifed Terminology of Computer-aided Topology Optimization in Structural Mechanics,” Struct. Multidisc. Optim. Vol. 21, pp. 90-108 (2001).
[9] Park, K. Y., Lee, C. W., Oh, S. Y.and Cho, Y. H., “Laterally Oscillated Forced-balanced Micro Vibratory Rate Gyroscope Supported by Fish Hook Shape Springs,” MEMS '97, Proceedings, IEEE., Tenth Annual International Workshop, pp. 494-499 (1997).
[10] Chen, H., “The Study on The Micro-machine Optical Modulating Components,” Master’s Thesis, National Taiwan University, Taiwan, R.O.C. (1999).
[11] Sigmund, O., "On the Design of Compliant Mechanisms Using Topology Optimization," Mech. Struc. and Mach, Vol. 21, pp. 493-524 (1997).