Parametric Reduced Order Models for wave propagation in 1D media containing defects

• Published in: Journal of sound and vibration Vol. 558; p. 117771
• Main Authors: Silva, Gabriel L.S., Castello, Daniel A.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 18.08.2023
• Subjects: 1D wave equation; Grassmann interpolation; Parametric model reduction; Proper Orthogonal Decomposition; Reduced models; Reduced models; Parametric model reduction; Proper Orthogonal Decomposition; Grassmann interpolation; 1D wave equation
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1016/j.jsv.2023.117771

This paper presents analyses of reduced order models (ROM) for wave propagation in media containing material defects. Parametric ROMs based on POD (Proper Orthogonal Decomposition) are used here to take into account parameters that characterize local defects such as center position, extension and magnitude (localized loss of stiffness). Local and adaptive (based on the Grassmann interpolation) POD strategies are used. Sequential analyses regarding parametric dependence with one, two and three parameters are performed along with accuracy and speed up as a function of model order. Furthermore, the accuracy of ROMs is also investigated for uncertainty quantification analyses. Our results show that the choice of ROM technique is not straightforward and the best solution, which is case dependent, is not always the most complex one. •Parametric Reduced Order Models (p-ROM) are analyzed for wave propagation.•Parametric ROM based on POD are considered.•A set of three parameters that characterize local damage are taken into account.•Accuracy and speed-up performance are investigated for three types of p-ROM.•The choice for a specific p-ROM is case dependent.