Smart Structures and Systems

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Optimal placement of piezoelectric actuators and sensors on a smart beam and a smart plate using multi-objective genetic algorithm

  • Nestorovic, Tamara (Ruhr-Universitat Bochum, Mechanics of Adaptive Systems Universitatsstr) ;
  • Trajkov, Miroslav (Ruhr-Universitat Bochum, Mechanics of Adaptive Systems Universitatsstr) ;
  • Garmabi, Seyedmehdi (Ruhr-Universitat Bochum, Mechanics of Adaptive Systems Universitatsstr)
  • Received : 2013.01.21
  • Accepted : 2014.03.19
  • Published : 2015.04.25
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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 $H_{\infty}$ 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.

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References

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