Parametric analysis of the whole loading process of translation-torsion coupled vibration characteristics of the multi-layer bi-directional eccentric frame structure
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School of Civil Engineering and Communication, North China University of Water Resources and Electric Power, Zhengzhou, China
Renhe Design Engineering Group Co., Ltd., Zhengzhou, China
Submission date: 2022-04-20
Final revision date: 2022-06-06
Acceptance date: 2022-06-07
Online publication date: 2022-07-11
Publication date: 2022-07-30
Corresponding author
Yuping Kuang   

North China University of Water Resources and Electric Power, School of Civil Engineering and Communication, Zhengzhou, China
Journal of Theoretical and Applied Mechanics 2022;60(3):479-494
Earthquake investigations confirm that irregular structures suffer more damage than their symmetric counterparts. The vibration mode of irregular structures is affected by the cou- pling of lateral and torsional vibration characteristics. The analysis of the lateral-torsional coupling effect is mainly limited to unidirectional eccentric structure or single-layer eccentric design. To fill this gap, this paper presents a parametric study of the whole loading pro- cess, exploring lateral-torsional coupling vibration characteristics of multi-layer bi-directional eccentric structures. The performed nonlinear static analysis revealed that the natural fre- quency of eccentric frames with different layers exhibited a general pattern with a three-stage evolution from elastic to elastic-plastic stages. Accordingly, three different elastic-plastic de- velopment stages of parametric analysis were defined. The effects of the uncoupled torsion-to- -lateral frequency ratios Ω and stiffness eccentricities on the translation-torsion coupled vi- bration characteristics in the above three stages were simulated via self-compiled programs on the MATLAB platform. The results obtained show that the range of Ω controlling the vibration characteristics was related to the eccentricities. Therefore, it was proposed to set different limit values of Ω in designing and analyzing the structures with different bi- directional eccentric degrees. At Ω = 1.1 ∼ 1.2, the coupling effect between bi-directional eccentricities led to transformation between the first- and second-order vibration modes, while the direction with the lowest lateral stiffness could not be directly judged as the structure first-order principal vibration direction. In the third stage, when the bi-directional eccentricities reached or even exceeded 0.3, the second and third modes transformed into each other.
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