An efficient approach for the equivalent linearization of frame structures with plastic hinges under nonstationary seismic excitations

IF 2.6 2区 工程技术 Q2 ENGINEERING, CIVIL Earthquake Engineering and Engineering Vibration Pub Date : 2024-07-13 DOI:10.1007/s11803-024-2265-5
Huan Huang, Yingxiong Li, Yuyu Li
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Abstract

An efficient approach is proposed for the equivalent linearization of frame structures with plastic hinges under nonstationary seismic excitations. The concentrated plastic hinges, described by the Bouc-Wen model, are assumed to occur at the two ends of a linear-elastic beam element. The auxiliary differential equations governing the plastic rotational displacements and their corresponding hysteretic displacements are replaced with linearized differential equations. Then, the two sets of equations of motion for the original nonlinear system can be reduced to an expanded-order equivalent linearized equation of motion for equivalent linear systems. To solve the equation of motion for equivalent linear systems, the nonstationary random vibration analysis is carried out based on the explicit time-domain method with high efficiency. Finally, the proposed treatment method for initial values of equivalent parameters is investigated in conjunction with parallel computing technology, which provides a new way of obtaining the equivalent linear systems at different time instants. Based on the explicit time-domain method, the key responses of interest of the converged equivalent linear system can be calculated through dimension reduction analysis with high efficiency. Numerical examples indicate that the proposed approach has high computational efficiency, and shows good applicability to weak nonlinear and medium-intensity nonlinear systems.

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非稳态地震激励下塑性铰链框架结构等效线性化的有效方法
针对非稳态地震激励下带有塑性铰链的框架结构,提出了一种高效的等效线性化方法。布克-温模型描述的集中塑性铰链假定发生在线性弹性梁单元的两端。控制塑性旋转位移及其相应滞后位移的辅助微分方程被线性化微分方程所取代。然后,原始非线性系统的两组运动方程可以简化为等效线性系统的扩展阶等效线性化运动方程。为了求解等效线性系统的运动方程,基于显式时域法进行了高效的非稳态随机振动分析。最后,结合并行计算技术研究了所提出的等效参数初始值处理方法,为获得不同时间时刻的等效线性系统提供了一种新方法。基于显式时域方法,可以通过降维分析高效计算出收敛等效线性系统的关键响应。数值实例表明,所提出的方法具有很高的计算效率,对弱非线性和中强度非线性系统具有很好的适用性。
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来源期刊
CiteScore
4.70
自引率
21.40%
发文量
1057
审稿时长
9 months
期刊介绍: Earthquake Engineering and Engineering Vibration is an international journal sponsored by the Institute of Engineering Mechanics (IEM), China Earthquake Administration in cooperation with the Multidisciplinary Center for Earthquake Engineering Research (MCEER), and State University of New York at Buffalo. It promotes scientific exchange between Chinese and foreign scientists and engineers, to improve the theory and practice of earthquake hazards mitigation, preparedness, and recovery. The journal focuses on earthquake engineering in all aspects, including seismology, tsunamis, ground motion characteristics, soil and foundation dynamics, wave propagation, probabilistic and deterministic methods of dynamic analysis, behavior of structures, and methods for earthquake resistant design and retrofit of structures that are germane to practicing engineers. It includes seismic code requirements, as well as supplemental energy dissipation, base isolation, and structural control.
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