Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Parametric Model Order Reduction of Guided Ultrasonic Wave Propagation in Fiber Metal Laminates with Damage

Version 1 : Received: 16 September 2021 / Approved: 17 September 2021 / Online: 17 September 2021 (12:24:40 CEST)

A peer-reviewed article of this Preprint also exists.

Bellam Muralidhar, N.K.; Rauter, N.; Mikhaylenko, A.; Lammering, R.; Lorenz, D.A. Parametric Model Order Reduction of Guided Ultrasonic Wave Propagation in Fiber Metal Laminates with Damage. Modelling 2021, 2, 591-608. Bellam Muralidhar, N.K.; Rauter, N.; Mikhaylenko, A.; Lammering, R.; Lorenz, D.A. Parametric Model Order Reduction of Guided Ultrasonic Wave Propagation in Fiber Metal Laminates with Damage. Modelling 2021, 2, 591-608.

Journal reference: Modelling 2021, 2, 31
DOI: 10.3390/modelling2040031

Abstract

This paper focuses on parametric model order reduction (PMOR) of guided ultrasonic wave propagation and its interaction with damage in a fiber metal laminate (FML). Structural health monitoring in FML seeks to detect, localize and characterize the damage with high accuracy and minimal use of sensors. This can be achieved by the inverse problem analysis approach which employs the signal measurement data recorded by the embedded sensors in the structure. The inverse analysis requires to solve the forward simulation of the underlying system several thousand times. These simulations are often exorbitantly expensive and triggered the need for improving their computational efficiency. A PMOR approach hinged on the proper orthogonal decomposition method is presented in this paper. An adaptive parameter sampling technique is established with the aid of a surrogate model to efficiently update the reduced-order basis in a greedy fashion. A numerical experiment is conducted to illustrate the parametric training of the reduced-order model. The results show that the reduced-order solution based on the PMOR approach is accurately complying with that of the high fidelity solution.

Keywords

Fiber metal laminates; Guided ultrasonic wave; Structural health monitoring; Proper orthogonal decomposition; Model order reduction; Damage detection

Subject

ENGINEERING, Mechanical Engineering

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