Journal
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
Volume 19, Issue 9, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219455419501098
Keywords
Modal participation ratio; principal component analysis; physical interpretation; string; structural mode
Categories
Funding
- National Natural Science Foundation of China [11402098]
- Guangzhou Science and Technology Planning Project [201804010498]
- Innovation and Cultivation Fund of Central Colleges and Universities of China [21617413]
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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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