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Design of MDOF structure with damping enhanced inerter systems

  • S.I. : Advances on Inerter-based Seismic Protection of Structures
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Bulletin of Earthquake Engineering Aims and scope Submit manuscript

Abstract

An inerter is a two-terminal inertial element that can produce an amplified inertance and enhanced damping when operating with spring and damping elements. Its superior vibration mitigation effect has been proved by previous studies. Although H∞ optimal design of inerter-controlled single-degree-of-freedom structure can be derived based on fixed-point method, rational and theoretical design methods for inerter-controlled multi-degree-of-freedom (MDOF) structures yet need to be developed. In this study, a practical and semi-analytical method based on the damping enhancement principle is proposed for the design of inerter-controlled MDOF structures under earthquakes. To improve the vibration mitigation efficiency, the parameters of inerter systems are distributed based on structural responses, and the required damping coefficient in the inerter systems is minimized to fully utilize the damping enhancement effect of inerter systems. The response mitigation ratio is taken as the targeted performance index to fulfill the demand-oriented design philosophy presented in this study. The stochastic response of the structure is obtained by conducting complex mode superposition. A detailed design procedure and corresponding computer program is developed. Three benchmark structures are employed to exemplify the effectiveness of the proposed design. The analysis results show that the story drifts and story shear forces of the designed structure are effectively mitigated to the target value. In comparison with an existing method (the fixed-point method), the proposed design strategy efficiently exploits the damping enhancement effect, resulting in reducing the damping coefficient and damping force while satisfying the performance demand, thereby producing a rational and economical design.

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The datasets and materials of this research are available from corresponding author for rational request.

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Acknowledgements

The authors wish to acknowledge the National Natural Science Foundation of China, the Natural Science Foundation of Shandong Province, the Science and Technology Planning Project of Guangdong Province, and the Ministry of Science and Technology of the People´s Republic of China for finding this study. And the authors also appreciate Kohju Ikago of Tohoku University for his help in interpreting the significance of the results of this study.

Funding

This study was funded by the National Natural Science Foundation of China (Grant No. 51978525), the Natural Science Foundation of Shandong Province (No. ZR2018BEE033), the Science and Technology Planning Project of Guangdong Province, China (No. 2018B02028003), and the National Key R&D Program of China (No. 2021YFE0112200).

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Authors and Affiliations

  1. State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University, Shanghai, 200092, China

    Ruifu Zhang, Minjun Wu & Chao Wang

  2. Department of Disaster Mitigation for Structures, Tongji University, Shanghai, 200092, China

    Ruifu Zhang, Minjun Wu & Chao Wang

  3. College of Civil Engineering, Yantai University, Yantai, 264005, China

    Chao Pan

  4. Earthquake Engineering Research & Test Center, Guangzhou University, Guangzhou, 510405, China

    Linfei Hao

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  1. Ruifu Zhang
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Correspondence to Chao Pan.

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Zhang, R., Wu, M., Pan, C. et al. Design of MDOF structure with damping enhanced inerter systems. Bull Earthquake Eng 21, 1685–1711 (2023). https://doi.org/10.1007/s10518-022-01381-4

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