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Coarse-grained evaluation of the first mode damping ratios in buildings
Abstract This paper reports the statistics-based results of damping ratios in buildings with different global characteristics. Through a literature survey and data filtration, 1887 full-scale measured damping ratios under micro-amplitude from 1009 existing buildings were integrated into a single database. Using the correlation coefficient, multiple linear regression (MLR), and Kruskal–Wallis analysis of variance, the correlation between the damping ratio and the various factors in the database were assessed. It was quantitatively verified that building height is the optimal predictor for damping, and structural type (combination of construction material with lateral force-resisting system) is the pivotal classification criterion for the value setting of the damping ratio. Some multi-grained predictive models of the first mode damping ratios with the MLR formula as the primary result are proposed. However, the MLR inference also shows that the model deviation caused by different damping evaluation techniques is non-negligible, and it cannot be presently quantified and eliminated. This also results in high-quality damping data lacking for certain structural types. Therefore, for three specific structural types, the copula function is applied to obtain the full probability model between the building height and damping ratio and to generate random samples containing real probability information.
Highlights A database containing nearly 1900 damping ratios from 1000+ real buildings. Quantitative correlation analysis between various factors and damping ratio. Empirical formulas of the damping ratio under different conditions. Full probability description of the damping ratio by copula functions.
Coarse-grained evaluation of the first mode damping ratios in buildings
Abstract This paper reports the statistics-based results of damping ratios in buildings with different global characteristics. Through a literature survey and data filtration, 1887 full-scale measured damping ratios under micro-amplitude from 1009 existing buildings were integrated into a single database. Using the correlation coefficient, multiple linear regression (MLR), and Kruskal–Wallis analysis of variance, the correlation between the damping ratio and the various factors in the database were assessed. It was quantitatively verified that building height is the optimal predictor for damping, and structural type (combination of construction material with lateral force-resisting system) is the pivotal classification criterion for the value setting of the damping ratio. Some multi-grained predictive models of the first mode damping ratios with the MLR formula as the primary result are proposed. However, the MLR inference also shows that the model deviation caused by different damping evaluation techniques is non-negligible, and it cannot be presently quantified and eliminated. This also results in high-quality damping data lacking for certain structural types. Therefore, for three specific structural types, the copula function is applied to obtain the full probability model between the building height and damping ratio and to generate random samples containing real probability information.
Highlights A database containing nearly 1900 damping ratios from 1000+ real buildings. Quantitative correlation analysis between various factors and damping ratio. Empirical formulas of the damping ratio under different conditions. Full probability description of the damping ratio by copula functions.
Coarse-grained evaluation of the first mode damping ratios in buildings
Wang, Zetao (author) / Chen, Jun (author) / Shen, Jiaxu (author)
2022-02-16
Article (Journal)
Electronic Resource
English
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