The aim of this work is to optimize placement and sizing of a given number of piezoelectric (PZT) actuator patches on an Euler-Bernoulli beam, in order to control (or damp) desired modes in an optimal way. A modal approach for the dynamic influence functions is used to take directly into account the position, length and loading of a generic PZT. The optimization problem is solved from a stochastic point of view by means of Genetic Algorithms.
Get full access to this article
View all access options for this article.
References
1.
Crawley, E. F. and de Luis, M., 1987, "Use of Piezoelectric Actuators as Elements of Intelligent Structure,"AIAA Journal, Vol. 25(10), pp. 1373-1385.
2.
Chaudry, Z. and Rogers, C. A., 1994, "The Pin-Force Model Revisited,"Journal of Intelligent Material Systems and Structures, Vol. 5, pp. 347-353.
3.
Strambi, G. , Barboni, R. and Gaudenzi, P., 1995, "Pin-Force and Euler Bernoulli Models for Analysis of Intelligent Structures,"AIAA Journal, Vol. 33(9), pp. 1746-1749.
4.
Barboni, R. , Fantini, E., Gaudenzi, P. and Mannini A., 1996, "On the Optimal Placement of PZT Actuators for the Control of the Dynamic Response of a Beam,"ICAST '96, Sorrento, Italy, Vol. 2, pp. 1890-1900.
5.
Goldberg, D.E. , 1989, "Genetic Algorithms in Search, Optimization, and Machine Learning,"Reading, Massachusetts: Addison-Wesley.
6.
Osyczka, A. and Kundo, S., 1995, "A New Method to Solve Generalized Multicriteria Optimization Problems Using the Simple Genetic Algorithm,"Structural Optimization, Vol. 10, pp. 94-99.
7.
Duckstein, K. , 1984, "Multiobjective Optimization in Structural Design: The Model Choice Problem,"New Directions in Optimum Structural Design, edited by Atrek, E., Gallagher, K. M., Ziekiewicz, O. C., John Wiley & Sons, Ltd.
8.
Davis, L. , 1984, "Handbook of Genetic Algorithms,"Van Nostrand Reinhold, New York.
9.
Grefenstette, J. J. , 1986, "Optimization of Control Parameters for Genetic Algorithms,"IEEE Transactions: Systems, Man, and Cybernetics, Vol. SMC-16, No.1 ", pp. 122-128
10.
Hejala, P. , 1990, "Genetic Algorithms-An Approach to the Non Convex Optimization Problem,"AIAA Journal, Vol. 28(7).
11.
Koumousis, V. K. and Georgiou, P. G., 1994, "Genetic Algorithms in Discrete Optimization of Steel Truss Roofs,"ASCE Journal of Computing in Civil Engineering, Vol. 8(3), pp. 309-325.
12.
Koumousis, V. K. , 1994, "Genetic Algorithms in Designing Civil Engineering Structures,"NA TO ARW: Emergent Computing Methods in Engineering Design, Nafplio, Greece.
