Technical Papers
Sep 19, 2023

Optimum Design of Pendulum Tuned Mass Dampers Considering Control Performance Degradation from Damper Connection

Publication: Journal of Structural Engineering
Volume 149, Issue 12

Abstract

Pendulum tuned mass dampers (PTMDs) are one of the most commonly used devices for high-rise structures to control large-amplitude vibrations due to dynamic excitations. In practice, the damper of PTMD usually connects the tuned mass to the location below the top floor rather than to the top floor, which is different from the case using a conventional tuned mass damper (TMD). Therefore, the classical optimal parametric formulas derived from the structure-conventional TMD model are not applicable to design the optimal parameters of PTMDs. In this paper, the simplified mechanical model of the structure-PTMD system is updated to consider the damper connection in practice. The fixed-points theory is employed to analytically derive the optimum design formulas for the PTMD by introducing the effect of modal shape. Moreover, the control effectiveness of the PTMD using the proposed method is studied. The control performance and robustness of the PTMD designed by the proposed method are compared to those designed by the classical optimum formulas under various dynamic loads. Finally, with the help of the performance degradation index (PDI), the control performance degradation of PTMD designed by classical formulas is quantified. The results show that the proposed optimal parameters have considerable differences from classical formulas. Through designing a PTMD on a multi-degree-of-freedom (MDOF) structure, the proposed optimum design is demonstrated to be more effective and robust than the classical formulas. To design a large mass ratio PTMD, the control performance degradation from the damper connection in practice is significant and should be seriously considered.

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Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant Nos. 52278304 and 52025082), Changsha Outstanding Innovative Youth Culturing Program (Grant No. kq2209009), and the Science Research Project of Education Department at Hunan Province (Grant No. 20K029).

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 149Issue 12December 2023

History

Received: Dec 7, 2022
Accepted: Jul 11, 2023
Published online: Sep 19, 2023
Published in print: Dec 1, 2023
Discussion open until: Feb 19, 2024

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Associate Professor, Key Laboratory for Bridge and Wind Engineering of Hunan Province, Shock and Vibration Technology Research Center, Hunan Univ., Changsha 410082, China. ORCID: https://orcid.org/0000-0001-6256-394X. Email: [email protected]
Graduate Student, Key Laboratory for Bridge and Wind Engineering of Hunan Province, Hunan Univ., Changsha 410082, China. Email: [email protected]
Zhilin Yang [email protected]
Graduate Student, Key Laboratory for Bridge and Wind Engineering of Hunan Province, Hunan Univ., Changsha 410082, China. Email: [email protected]
Graduate Student, Key Laboratory for Bridge and Wind Engineering of Hunan Province, Hunan Univ., Changsha 410082, China. Email: [email protected]
Professor, Key Laboratory for Bridge and Wind Engineering of Hunan Province, Shock and Vibration Technology Research Center, Hunan Univ., Changsha 410082, China (corresponding author). ORCID: https://orcid.org/0000-0001-9647-1277. Email: [email protected]
Associate Professor, Key Laboratory for Bridge and Wind Engineering of Hunan Province, Shock and Vibration Technology Research Center, Hunan Univ., Changsha 410082, China. ORCID: https://orcid.org/0000-0002-7267-1968. Email: [email protected]

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