Stability and accuracy of central difference method for real-time dynamic substructure testing considering mass participation coefficient

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/s11803-024-2261-9

Lichang Zheng, Guoshan Xu, Ge Yang, Zhen Wang, Kaibo Yang, Zhenyun Zheng

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引用次数: 0

Abstract

For real-time dynamic substructure testing (RTDST), the influence of the inertia force of fluid specimens on the stability and accuracy of the integration algorithms has never been investigated. Therefore, this study proposes to investigate the stability and accuracy of the central difference method (CDM) for RTDST considering the specimen mass participation coefficient. First, the theory of the CDM for RTDST is presented. Next, the stability and accuracy of the CDM for RTDST considering the specimen mass participation coefficient are investigated. Finally, numerical simulations and experimental tests are conducted for verifying the effectiveness of the method. The study indicates that the stability of the algorithm is affected by the mass participation coefficient of the specimen, and the stability limit first increases and then decreases as the mass participation coefficient increases. In most cases, the mass participation coefficient will increase the stability limit of the algorithm, but in specific circumstances, the algorithm may lose its stability. The stability and accuracy of the CDM considering the mass participation coefficient are verified by numerical simulations and experimental tests on a three-story frame structure with a tuned liquid damper.

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考虑质量参与系数的中心差分法在下部结构实时动态测试中的稳定性和准确性

在实时动态下部结构测试（RTDST）中，流体试样的惯性力对积分算法的稳定性和准确性的影响从未被研究过。因此，本研究拟研究考虑试件质量参与系数的中心差分法（CDM）在 RTDST 中的稳定性和准确性。首先，介绍 RTDST 的中心差分法理论。然后，研究了考虑试样质量参与系数的 RTDST CDM 的稳定性和准确性。最后，进行了数值模拟和实验测试，以验证该方法的有效性。研究表明，该算法的稳定性受试样质量参与系数的影响，随着质量参与系数的增大，稳定性极限先增大后减小。在大多数情况下，质量参与系数会提高算法的稳定性极限，但在特定情况下，算法可能会失去稳定性。通过数值模拟和带调谐液体阻尼器的三层框架结构的实验测试，验证了考虑质量参与系数的 CDM 的稳定性和准确性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Earthquake Engineering and Engineering Vibration 工程技术-工程：地质

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.