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Damage detection through nonparametric models using Kautz filters

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Abstract

The goal of this paper is to present an approach to detect structural changes by using nonparametric models. The impulse response functions (IRFs) of mechanical systems in healthy conditions are identified through the sum of convolution expanded on an orthonormal basis. The Kautz filters with multiple poles optimized are implemented as an efficient orthonormal basis to identify nonparametric reference models. Identifying the IRFs of a smart beam with PZTs actuators/sensors coupled is used to illustrate the necessary procedures. The damages are simulated as a loss of bolts, nuts, and washers attached near a PZT sensor. A statistical procedure of a hypothesis test is also used to confirm the smart beam’s structural state. The experimental results achieved show that it is possible to detect the structural changes with statistical confidence.

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Acknowledgements

The authors thank the valuable remarks given by the Editor and the ad-hoc reviewers for improving the readability of the paper.

Funding

The authors thank the financial support provided by São Paulo Research Foundation (FAPESP) Grant No. 2013/09008-4, and the Brazilian National Council of Technological and Scientific Development (CNPq) Grant No. 306526/2019-0.

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Authors and Affiliations

  1. Department of Mechanical Engineering, São Paulo State University (UNESP), Av. Brasil 56, Ilha Solteira, SP, 15385-000, Brazil

    Samuel da Silva

  2. Federal Institute of Education, Science, and Technology of Mato Grosso State, Av. Dom Aquino, Primavera do Leste, MT, 1500, Brazil

    Cristian Hansen

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  1. Samuel da Silva
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Correspondence to Samuel da Silva.

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da Silva, S., Hansen, C. Damage detection through nonparametric models using Kautz filters. Meccanica 56, 1177–1189 (2021). https://doi.org/10.1007/s11012-021-01319-1

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