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Smart Structures and Systems Volume 15, Number 4, April 2015 , pages 1041-1062 DOI: https://doi.org/10.12989/sss.2015.15.4.1041 |
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Optimal placement of piezoelectric actuators and sensors on a smart beam and a smart plate using multi-objective genetic algorithm |
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Tamara Nestorović, Miroslav Trajkov and Seyedmehdi Garmabi
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| Abstract | ||
| In this paper a method of finding optimal positions for piezoelectric actuators and sensors on different structures is presented. The genetic algorithm and multi-objective genetic algorithm are selected for optimization and H norm is defined as a cost function for the optimization process. To optimize the placement concerning the selected modes simultaneously, the multi-objective genetic algorithm is used. The optimization is investigated for two different structures: a cantilever beam and a simply supported plate. Vibrating structures are controlled in a closed loop with feedback gains, which are obtained using optimal LQ control strategy. Finally, output of a structure with optimized placement is compared with the output of the structure with an arbitrary, non-optimal placement of piezoelectric patches. | ||
| Key Words | ||
| optimal location; smart structures; H norm; genetic algorithm; multi-objective genetic algorithm | ||
| Address | ||
| Tamara Nestorović, Miroslav Trajkov and Seyedmehdi Garmabi: Ruhr-Universität Bochum, Mechanics of Adaptive Systems Universitätsstr, 150, D-44801 Bochum, Germany | ||