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2023 | OriginalPaper | Buchkapitel

16. Sub-Band Decomposition Based-Linear Normal Mode Identification

verfasst von: Dalton Stein, He-Wen-Xuan Li, David Chelidze

Erschienen in: Topics in Modal Analysis & Parameter Identification, Volume 8

Verlag: Springer International Publishing

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Abstract

In the past few decades, matrix decomposition methods have been explored as suitable Operational Modal Analysis algorithms. For a given vibratory mechanical system, one looks for its coherent spatial–temporal structures through the assumption of separation of variables. In practical situations, this separation of variables is done by decomposing a sampled scalar field that contains the underlying continuous field of the structure in time. In mechanical vibrations, this sampled scalar field is usually a trajectory matrix, \(X \in \mathbb {R}^{n \times m}\), that is composed of n displacement, velocity, or acceleration observations at m distinct spatial points on a structure. Methods such as the Proper Orthogonal Decomposition (POD) and the Smooth Orthogonal Decomposition (SOD) have been used to decompose the trajectory matrix into its modal coordinates and modal matrix. In real-world scenarios, there are practical limitations to these algorithms. First, for the case of POD, the free-response sample covariance matrix must be scaled by the mass matrix to identify the true LNMs of the structure. For complicated structures with nonuniform mass distribution, this is problematic.
Literatur
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Zurück zum Zitat Kim, B.H., Stubbs, N., Park, T.: A new method to extract modal parameters using output-only responses. J. Sound Vibr. 282, 215–230 (2005) CrossRef Kim, B.H., Stubbs, N., Park, T.: A new method to extract modal parameters using output-only responses. J. Sound Vibr. 282, 215–230 (2005) CrossRef
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Zurück zum Zitat Chelidze, D., Zhou, W.: Smooth orthogonal decomposition based vibration mode identification. J. Sound Vibr. 292, 461–473 (2006) CrossRef Chelidze, D., Zhou, W.: Smooth orthogonal decomposition based vibration mode identification. J. Sound Vibr. 292, 461–473 (2006) CrossRef
Metadaten
Titel
Sub-Band Decomposition Based-Linear Normal Mode Identification
verfasst von
Dalton Stein
He-Wen-Xuan Li
David Chelidze
Copyright-Jahr
2023
DOI
https://doi.org/10.1007/978-3-031-05445-7_16