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Change detection and isolation in mechanical system parameters based on perturbation analysis

Michael Döhler 1, 2 Qinghua Zhang 1, 2 Laurent Mevel 1, 2
1 I4S - Statistical Inference for Structural Health Monitoring
IFSTTAR/COSYS - Département Composants et Systèmes, Inria Rennes – Bretagne Atlantique
Abstract : The monitoring of mechanical systems aims at detecting damages at an early stage, in general by using output-only vibration measurements under ambient excitation. In this paper, a method is proposed for the detection and isolation of small changes in the physical parameters of a linear mechanical system. Based on a recent work where the multiplicative change detection problem is transformed to an additive one by means of perturbation analysis, changes in the eigenvalues and eigenvectors of the mechanical system are considered in the first step. In a second step, these changes are related to physical parameters of the mechanical system. Finally, another transformation further simplifies the detection and isolation problem into the framework of a linear regression subject to additive white Gaussian noises, leading to a numerically efficient solution of the considered problems. A numerical example of a simulated mechanical structure is reported for damage detection and localization.
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Submitted on : Tuesday, July 18, 2017 - 5:39:07 PM
Last modification on : Wednesday, May 19, 2021 - 4:18:06 PM
Long-term archiving on: : Saturday, January 27, 2018 - 6:10:31 AM

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Michael Döhler, Qinghua Zhang, Laurent Mevel. Change detection and isolation in mechanical system parameters based on perturbation analysis. IFAC WC - 20th IFAC World Congress, Jul 2017, Toulouse, France. ⟨hal-01564494⟩

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