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A multiobjective sensor placement optimization for SHM systems considering Fisher information matrix and mode shape interpolation

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Abstract

Sensor placement optimization plays a key role in structural health monitoring (SHM) of large mechanical structures. Given the existence of an effective damage identification procedure, the problem arises as to how the acquisition points should be placed for optimal efficiency of the detection system. The global multiobjective optimization of sensor locations for structural health monitoring systems is studied in this paper. First, a laminated composite plate is modelled using Finite Element Method (FEM) and put into modal analysis. Then, multiobjective genetic algorithms (GAs) are adopted to search for the optimal locations of sensors. Numerical issues arising in the selection of the optimal sensor configuration in structural dynamics are addressed. A method of multiobjective sensor locations optimization using the collected information by Fisher Information Matrix (FIM) and mode shape interpolation is presented in this paper. The sensor locations are prioritized according to their ability to localize structural damage based on the eigenvector sensitivity method. The proposed method presented in this paper allows to distribute the points of acquisition on a structure in the best possible way so as to obtain both data of greater modal information and data for better modal reconstruction from a minimum point interpolation. Numerical example and test results show that the proposed method is effective to distribute a reduced number of sensors on a structure and at the same time guarantee the quality of information obtained. The results still indicate that the modal configuration obtained by multiobjective optimization does not become trivial when a set of modes is used in the construction of the objective function. This strategy is an advantage in experimental modal analysis tests, since it is only necessary to acquire signals in a limited number of points, saving time and operational costs.

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Acknowledgements

The authors would like to acknowledge the financial support from the Brazilian agency CNPq—Conselho Nacional de Desenvolvimento Científico e Tecnológico and CAPES— Coordenaco de AperfeiÇoamento de Pessoal de Nível Superior.

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Authors and Affiliations

  1. Mechanical Engineering Institute, Federal University of Itajubá, Itajubá, Brazil

    Guilherme Ferreira Gomes, Patricia da Silva Lopes Alexandrino, Sebastiao Simões da Cunha Jr., Bruno Silva de Sousa & Antonio Carlos Ancelotti Jr.

  2. Institute of Industrial Engineering and Management, Federal University of Itajubá, Itajubá, Brazil

    Fabricio Alves de Almeida

Authors
  1. Guilherme Ferreira Gomes
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  2. Fabricio Alves de Almeida
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  3. Patricia da Silva Lopes Alexandrino
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  4. Sebastiao Simões da Cunha Jr.
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  5. Bruno Silva de Sousa
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  6. Antonio Carlos Ancelotti Jr.
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Correspondence to Guilherme Ferreira Gomes.

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Gomes, G.F., de Almeida, F.A., da Silva Lopes Alexandrino, P. et al. A multiobjective sensor placement optimization for SHM systems considering Fisher information matrix and mode shape interpolation. Engineering with Computers 35, 519–535 (2019). https://doi.org/10.1007/s00366-018-0613-7

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