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Actuators 2013, 2(4), 111-128; doi:10.3390/act2040111
Article

Actuator Location and Voltages Optimization for Shape Control of Smart Beams Using Genetic Algorithms

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Received: 28 August 2013 / Revised: 23 September 2013 / Accepted: 12 October 2013 / Published: 22 October 2013
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Abstract

This paper presents a numerical study on optimal voltages and optimal placement of piezoelectric actuators for shape control of beam structures. A finite element model, based on Timoshenko beam theory, is developed to characterize the behavior of the structure and the actuators. This model accounted for the electromechanical coupling in the entire beam structure, due to the fact that the piezoelectric layers are treated as constituent parts of the entire structural system. A hybrid scheme is presented based on great deluge and genetic algorithm. The hybrid algorithm is implemented to calculate the optimal locations and optimal values of voltages, applied to the piezoelectric actuators glued in the structure, which minimize the error between the achieved and the desired shape. Results from numerical simulations demonstrate the capabilities and efficiency of the developed optimization algorithm in both clamped−free and clamped−clamped beam problems are presented.
Keywords: design optimization; placement optimization; genetic algorithm; great deluge algorithm design optimization; placement optimization; genetic algorithm; great deluge algorithm
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Foutsitzi, G.A.; Gogos, C.G.; Hadjigeorgiou, E.P.; Stavroulakis, G.E. Actuator Location and Voltages Optimization for Shape Control of Smart Beams Using Genetic Algorithms. Actuators 2013, 2, 111-128.

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