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

Modelling

Nanda Kishore Bellam Muralidhar¹  Dirk A. Lorenz¹  Natalie Rauter²  Andrey Mikhaylenko²  Rolf Lammering² 

[1] Institute of Analysis and Algebra, Technische Universität Braunschweig, Universitätsplatz 2, 38106 Braunschweig, Germany;Institute of Mechanics, Helmut-Schmidt-University/University of the Federal Armed Forces Hamburg, Holstenhofweg 85, 22043 Hamburg, Germany;

关键词: fiber metal laminates;    guided ultrasonic wave;    structural health monitoring;    proper orthogonal decomposition;    model order reduction;    damage detection;   

DOI  :  10.3390/modelling2040031

来源: DOAJ

【 摘 要 】

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 us to solve the forward simulation of the underlying system several thousand times. These simulations are often exorbitantly expensive and trigger 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.

【 授权许可】

Unknown