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Parametric Analysis of the Translational-Torsional Displacement Ratio in the Multilayer Bidirectional Eccentric Frame Structure at the Elastoplastic Stage

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Strength of Materials Aims and scope

Field investigations of earthquake-stricken areas have shown that eccentric structures usually suffer more severe seismic damage than symmetric structures due to translational-torsional coupling. While most studies have focused on the torsional response of single-layer or unidirectional eccentric structures, this paper presents a whole-process parametric analysis of the translational-torsional coupling effect of the multilayer bidirectional eccentric frame structure. Next, a nonlinear static analysis is performed via a self-compiled MATLAB program, revealing a general law for the variation in the natural frequency of the multilayer eccentric frame structure in different layers during its evolution from the elastic to the elastoplastic stage. This process is subdivided into three distinct analytic stages. The parametric analysis is also performed for the translational-torsional displacement ratio varying with the noncoupled torsional-translational frequency ratio (Ω) and the bidirectional eccentricity (bx, by) throughout the three stages. The analysis shows that the translational-torsional coupling effect of the bidirectional eccentric structure was most intense at Ω = 1.1. This is a very adverse situation that may occur in the torsion-resistant design of the structure and deserves extra attention. The translational-torsional coupling effect is aggravated along the load (x) direction as it increases and is unaffected by bx, Ω, or the elastoplastic development process. The degree of influence of bx on the translational-torsional coupling effect depends on which particular layer of the structure is under consideration and the elastoplastic development process. As elastoplastic development proceeds, the translational motion of the structure along the load direction finally predominates. Meanwhile, the translational-torsional coupling effect along the load direction decreases dramatically.

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Acknowledgment

The research was supported by the High-level Talents Project of North China University of Water Resources and Electric Power (201803003).

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Authors and Affiliations

  1. School of Civil Engineering and Communication, North China University of Water Resources and Electric Power, Zhengzhou, China

    Y. P. Kuang

  2. Renhe Design Engineering Group Co., Ltd, Zhengzhou, China

    Y. S. Liu

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  1. Y. P. Kuang
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  2. Y. S. Liu
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Correspondence to Y. P. Kuang.

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Translated from Problemy Mitsnosti, No. 4, p. 122, July – August, 2023

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Kuang, Y.P., Liu, Y.S. Parametric Analysis of the Translational-Torsional Displacement Ratio in the Multilayer Bidirectional Eccentric Frame Structure at the Elastoplastic Stage. Strength Mater 55, 841–854 (2023). https://doi.org/10.1007/s11223-023-00575-8

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