A novel optimal design method for tuned mass dampers with elastic motion-limiting stoppers

IF 4.3 2区 工程技术 Q1 ENGINEERING, CIVIL Earthquake Engineering & Structural Dynamics Pub Date : 2024-09-13 DOI:10.1002/eqe.4232
Gaoqiang Qu, Qigang Liang, Luyu Li, Xiaoyu Bai, Jinping Ou
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Abstract

Tuned Mass Dampers (TMDs) are commonly used passive control devices in practical engineering applications. However, motion-limiting stoppers are usually installed to control the excessive TMD displacement due to the building space limitation, resulting in piecewise nonlinearity and detuning of TMD. This paper studies the influence of elastic motion-limiting stoppers on the optimal design of TMDs through a piecewise stiffness TMD (PSTMD) model. Performance of a PSTMD with classical design is first investigated and proven to be ineffective. To optimize the PSTMD parameters, the motion of PSTMD is decoupled from the controlled structure, and the frequency response equation of PSTMD is obtained analytically through the averaging method. Subsequently, the solution of the optimal design frequency for PSTMD is transformed into the solution of the jump frequency in the frequency response equation. With the optimal frequency of PSTMDs, the optimal damping and control performance of PSTMDs are discussed and analyzed compared with classical linear design, which fully showcases the effectiveness of the novel design method. Finally, the effectiveness of the novel design method is verified using a nine-story benchmark frame structure, and the results demonstrate that the control performance of the optimal PSTMD can be improved by nearly 10 % $10\%$ under specific seismic excitation, compared to the PSTMD with classical linear method. In summary, the novel design method can effectively take into account the influence of piecewise nonlinearity caused by elastic motion-limiting stoppers and improve the optimal control performance of TMD in a more realistic engineering environment.

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带弹性限位挡块的调谐质量阻尼器的新型优化设计方法
调谐质量阻尼器(TMD)是实际工程应用中常用的被动控制装置。然而,由于建筑空间的限制,为了控制 TMD 的过大位移,通常会安装限动阻尼器,从而导致 TMD 的片状非线性和失谐。本文通过片状刚度 TMD(PSTMD)模型,研究了弹性限位挡板对 TMD 优化设计的影响。首先研究了采用经典设计的 PSTMD 的性能,并证明其无效。为了优化 PSTMD 参数,将 PSTMD 的运动与受控结构解耦,并通过平均法解析得到 PSTMD 的频率响应方程。随后,将 PSTMD 最佳设计频率的解转化为频率响应方程中跳跃频率的解。有了 PSTMD 的最佳频率,与经典线性设计相比,讨论和分析了 PSTMD 的最佳阻尼和控制性能,充分展示了新型设计方法的有效性。最后,使用一个九层基准框架结构验证了新型设计方法的有效性,结果表明,在特定地震激励下,与采用经典线性方法的 PSTMD 相比,最优 PSTMD 的控制性能可提高近 10 % $10%/$。总之,新的设计方法可以有效地考虑弹性限动挡块引起的片状非线性影响,在更真实的工程环境中提高 TMD 的最优控制性能。
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来源期刊
Earthquake Engineering & Structural Dynamics
Earthquake Engineering & Structural Dynamics 工程技术-工程:地质
CiteScore
7.20
自引率
13.30%
发文量
180
审稿时长
4.8 months
期刊介绍: Earthquake Engineering and Structural Dynamics provides a forum for the publication of papers on several aspects of engineering related to earthquakes. The problems in this field, and their solutions, are international in character and require knowledge of several traditional disciplines; the Journal will reflect this. Papers that may be relevant but do not emphasize earthquake engineering and related structural dynamics are not suitable for the Journal. Relevant topics include the following: ground motions for analysis and design geotechnical earthquake engineering probabilistic and deterministic methods of dynamic analysis experimental behaviour of structures seismic protective systems system identification risk assessment seismic code requirements methods for earthquake-resistant design and retrofit of structures.
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