Physical Interpretation of Principal Component Analysis for Structural Dynamics Through String Vibration
Auteur(s): |
Hong-Wei Ma
Yi-Zhou Lin Zhen-Hua Nie |
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Médium: | article de revue |
Langue(s): | anglais |
Publié dans: | International Journal of Structural Stability and Dynamics, août 2019, n. 9, v. 19 |
Page(s): | 1950109 |
DOI: | 10.1142/s0219455419501098 |
Abstrait: |
Principal component analysis (PCA) has been successfully applied in structural dynamics in recent years. However, it is usually used as a black-box, resulting in a gap between the application aspect and the physics essence of the problem. Thus a physical interpretation of PCA is necessary, along with further investigation, especially on the mechanism involved. This paper provides a physical meaning of the PCA by the theoretical analysis and numerical experiment on the vibration of a 1D string. Conditions that make the interpretation feasible were identified. The theoretical derivation and numerical simulation results indicate that the PCA gives a good estimation of the modal participation ratio in terms of energy, and the principal component coefficient (PCC) can be used to estimate the structural modes. The physical interpretation gives a new perspective on how the current methods work while providing the possibility of further application of the PCA related methods to structural dynamic problems. |
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sur cette fiche - Reference-ID
10352023 - Publié(e) le:
14.08.2019 - Modifié(e) le:
06.10.2019