Statistical Analysis of Fundamental Periods of Frame-Shear Wall Structures

Abstract:

The differences of empirical formulas of China, United States, Japan, and Europe for estimating the fundamental periods of frame-shear wall structures are investigated. Summing up paradigms of the empirical formulas from the above representation countries, the paradigm formulas expressed as single-variable exponential type, single-variable linear type, and multi-variable non-linear type. Using statistical data of 88 groups of the measured fundamental period for least-squares regression analysis, and the effect of fitting regression formula is judged by the norm of relative error‖δ‖₂ , the norm of root mean square error‖RMSE‖₂ , and the norm of residual mass‖CRM‖_{2Italic textb> . The results show that: the single-variable exponential type has wide application and gets closer with measured fundamental period; the single-variable linear type is briefly, and the single-variable based on structural height has smaller error than the single-variable of stories; the multi-variable non-linear type is very complex and larger error compared with the measured fundamental period. Considering the formula in the form of simple, practical and consistent with the codes, this paper gives single-variable exponential type as recommended empirical formula for estimating the fundamental periods of frame-shear wall structures .The proposed empirical formula can serve as a reference for revision of the seismic design code, frame-shear wall structure seismic design and related studies.}

• Periodical: Applied Mechanics and Materials (Volumes 174-177)
• Pages: 2071-2078
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.174-177.2071
• Online since: May 2012
• Authors: Yan Qiang Gao, Wen Feng Liu
• Keywords: Empirical Formula, Frame-Shear Wall Structure, Fundamental Periods, Regression Analysis

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