Linear equivalence for motion amplification devices in earthquake engineering

IF 4.3 2区 工程技术 Q1 ENGINEERING, CIVIL
Wenjun Gao, Xilin Lu
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引用次数: 0

Abstract

Motion amplification devices utilized to amplify the motion of dampers can effectively improve the energy dissipation performance of dampers to reduce seismic responses of engineering structures. This study systematically develops a linear equivalence theory for motion amplification devices based on the proposed equivalent Maxwell model. This equivalent model accurately predicts the supplemental damping effect provided by motion amplification devices without approximation. Also, the equivalent model is capable of quantifying the amplification effect of motion amplification devices by means of deriving the analytical expressions of the equivalent damping and stiffness coefficients, which reveal that motion amplification devices simultaneously enhance the original damping and stiffness coefficients by α ¯ 2 ${{\bar{\alpha }}^2}$ , where α ¯ $\bar{\alpha }$ is the proposed rigidity motion amplification factor. The representative value of member stiffness  k p ${{k}_{\mathrm{p}}}$ is developed to comprehensively evaluate the supporting stiffness of motion amplification devices. All the achieved results strongly support that the proposed linear equivalence theory provides a generic paradigm to explain, measure and compare different types of motion amplification devices in terms of their supplemental damping effects, and hence helps researchers and engineers gain valuable insight into the dynamic properties of motion amplification devices.

地震工程中运动放大装置的线性等效性
利用运动放大装置放大阻尼器的运动可有效提高阻尼器的消能性能,从而降低工程结构的地震响应。本研究以提出的等效麦克斯韦模型为基础,系统地发展了运动放大装置的线性等效理论。该等效模型无需近似值即可准确预测运动放大装置提供的补充阻尼效应。同时,该等效模型还能通过推导等效阻尼系数和刚度系数的解析表达式来量化运动放大装置的放大效应,从而揭示出运动放大装置可同时通过 α ¯ 2 ${{bar\{alpha }}^2}$ 增强原始阻尼系数和刚度系数,其中 α ¯ $\bar{alpha }$ 是所提出的刚度运动放大系数。为全面评估运动放大装置的支撑刚度,我们提出了构件刚度的代表值 k p ${{k}_{\mathrm{p}}}$ 。所有结果都有力地证明了所提出的线性等效理论为解释、测量和比较不同类型运动放大装置的补充阻尼效应提供了通用范例,从而帮助研究人员和工程师深入了解运动放大装置的动态特性。
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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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