Optimal Design and Experimental Validation of Compliant Mechanical Amplifiers for Piezoceramic Stack Actuators

Abstract

An optimization method has been developed for design of compliant mechanical amplifiers for piezoceramic stack actuators. A topology optimization approach is used where the objective is to maximize the stroke amplification, and results show good algorithm convergence and good mechanism performance. The focus of this paper is on using the optimal topology solution to generate a solid model, and on improving the actuator performance through detail design and analysis of the resulting monolithic compliant mechanical amplifiers. A study of the effect of various flexure hinge configurations and other design parameters on the amplification and mechanical advantage of an actuator is performed. Another actuator with a large stroke amplification is designed using a batch of random starting points to the optimization algorithm. Prototype actuators have been fabricated, and the results of experimental validations are presented.

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References

Belegundu, A. and Chandrupatla, T. , 1999. Optimization Concepts and Applications in Engineering, Upper Saddle River, New Jersey, Prentice Hall.

Bendsoe, M. P. and Kikuchi, N. , 1988. “Generating Optimal Topologies in Structural Design Using a Homogenization Method,” Computer Methods in Applied Mechanics and Engineering, 71 (1988), pp. 197-224.

Frecker, M. , Ananthasuresh, G. K. , Nishiwaki, S. , Kikuchi, N. and Kota, S. , 1997. “Topological Synthesis of Compliant Mechanisms Using Multi-Criteria Optimization,” Journal of Mechanical Design, Transactions of the ASME, Vol. 119, No. 2, June 1997, pp. 238-245.

Frecker, M. and Canfield, S. 2000. “Topology Optimization of Compliant Mechanical Amplifiers for Piezoelectric Actuators,” Structural Optimization (in press).

Giurgiutiu, V. , Rogers, C. A. and Chaudry, Z. , 1997. “Design of Displacement-Amplified Induced-Strain Actuators for Maximum Energy Output,” Journal of Mechanical Design, Transactions of the ASME, Vol. 119, December, 1997, pp. 511-517.

Hetrick, J. A. and Kota, S. , 1999. “An Energy Formulation for Parametric Size and Shape Optimization of Compliant Mechanisms,” ASME Journal of Mechanical Design, June, 1999, Vol. 121, pp. 229-234.

I-DEAS Master Series 6, 1998, Structural Dynamics Research Corporation, Milford, OH.

Main, J. A. , Garcia, E. and Newton, D. V. , 1995. “Precision Position Control of Piezoelectric Actuators Using Charge Feedback,” Journal of Guidance, Control, and Dynamics, Vol. 18, No. 5, September-October, 1995, pp. 1068-1073.

MATLAB , 1997, MATLAB: The Language of Technical Computing, The Mathworks Inc., 24 Prime Park Way, Natick MA, 01760-1500, USA, 5th edition.

10.

MIDEVA, 1999, MathTools Ltd., P.O. Box 784, Fort Washington, PA 19034-0784, USA.

11.

Nishiwaki, S. , Frecker, M. , Min, S. and Kikuchi, N. , 1998. “Topology Optimization of Compliant Mechanisms Using the Homogenization Method,” International Journal for Numerical Methods and Engineering, 42, pp. 535-559.

12.

Prechtl, E. , and Hall, S. , 1999. “Design of a High Efficiency, Large Stroke, Electromechanical Actuator,” Smart Materials and Structures, 8 (1999) 13-30.

13.

Samak, D. K. , and Chopra, I. , 1996. “Design of High Force, High Displacement Actuators for Helicopter Rotors,” Smart Materials and Structures, Vol. 5, No. 1, Feb. 1996, pp. 58-67.

14.

Samuelson, M. , Garcia, E. , Otto, J. , Paine, J. and Main, J. , 1997. “Actuator Systems for Precision Motion Control,” Advances in the Astronautical Sciences Proceedings of the 1997 Annual AAS Rocky Mountain Guidance and Control Conference, Vol. 94, pp. 215-232, Paper Number 97-063.

15.

Shield, R. T. and Prager, W. , 1970, Optimal Structural Design for Given Deflection. Journal of Applied Mathematics and Physics, ZAMP, 21, pp. 513-523.

16.

Sigmund, O. and Torquato, S. , 1999. “Design of smart composite materials using topology optimization,” Smart Materials and Structures, vol. 8 no. 3 1999, pp. 365-379.

17.

Sigmund, O. , 1999. “Topology Synthesis of Two-Phase Compliant Actuators,” Proceedings of the ASME Design Engineering Technical Conferences, Sept. 12-15, 1999, Las Vegas, NV, DETC99/DAC-8553.

18.

Silva, E. C. N. , Nishiwaki, S. and Kikuchi, N. , 1998. “Design of Piezoelectric Transducers Using Topology Optimization,” NATO ASI on Mechanics of Composite Materials and Structures, Troia, Portugal, July 12-24, pp. 311-330.

19.

Silva, E. , Nishiwaki, S. and Kikuchi, N. , 1999. “Design of Flextensional Transducers Using Homogenization Design Method,” Proceedings SPIE 6th Annual International Symposium on Smart Materials and Structures, Newport Beach, CA, March, 1999, Paper 3667-25.