基于 ABAQUS 的隔震结构地震反应分析历史间迭代法及其二次开发

Chuanguo Jia, Yutao Li, Hongchen Su, Min Gan, Longchang Chen, Weinan Guo
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引用次数: 0

摘要

在隔震结构(SIS)的地震反应分析中,非线性集中在隔震层,而上部结构表现为线性,这使得 SIS 成为局部非线性系统。本文提出了一种基于等效线性化(EL)和迭代求解的新型 SIS 地震分析方法。在该方法中,SIS 的平衡方程由结构系统的二阶常微分方程以及隔震支座(SIB)的滞后力来表示。根据 EL 理论,重建了整个系统的线性化平衡方程,其中 EL 参数是通过理论推导得出的。提出了历史间迭代法(IHI)来求解线性化方程组,并依次迭代计算 EL 参数,用于 SIS 的地震响应分析,从而在不损失过多精度的情况下降低了计算成本。此外,为了便于工程应用,还在 ABAQUS 中对所提方法进行了二次开发编程。最后,通过对一个 SIS 案例的数值模拟,研究了该方法的收敛性和准确性。数值研究结果表明,所提方法考虑了结构响应与 EL 参数之间的耦合,收敛率高,求解精度令人满意。ABAQUS 二次开发程序利用 ABAQUS 强大的前处理器、后处理器和求解器,使 IHI 方法更适合工程应用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The inter-history iteration method for seismic response analysis of seismically isolated structures and its secondary development based on ABAQUS
In seismic response analysis of seismically isolated structures (SISs), the nonlinearity is concentrated in the isolation layer while the upper structure behaves linearly, making SISs locally nonlinear systems. This paper proposed a novel seismic analysis method based on equivalent linearization (EL) and iterative solution for SISs. In this method, the equilibrium equations of an SIS are expressed by the second-order ordinary differential equations of the structural system as well as the hysteretic force of seismic isolation bearings (SIBs). Based on EL theory, the linearized equilibrium equations of the overall system were reconstructed in which the EL parameters are derived theoretically. The inter-history iteration (IHI) method was proposed to solve the linearized equation system and calculate the EL parameters in sequence iteratively for seismic response analysis of SISs, thus reducing computational cost without excessive loss of accuracy. In addition, the secondary development of the proposed method was programmed in ABAQUS for ease of engineering applications. Finally, the convergence and accuracy of the method were investigated through numerical simulation of an SIS case study. As the numerical investigation indicates, the proposed method considers the coupling between structural response and the EL parameters, achieving a high convergence rate and satisfactory solution accuracy. The ABAQUS secondary development program utilizes the powerful pre-processor, post-processor, and solvers of ABAQUS, making the IHI method more appropriate for engineering applications.
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