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Analytical parametric optimization analysis and design formulas of tuned inerter mass vibration control system with negative stiffness
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Ning SU1, 2, Zhaoqing CHEN1, Jing BIAN3, Cong ZENG1
Journal of Vibration Engineering | 2025, 38(4) : 803 - 815
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Journal of Vibration Engineering | 2025, 38(4): 803-815
Analytical parametric optimization analysis and design formulas of tuned inerter mass vibration control system with negative stiffness
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Ning SU1, 2, Zhaoqing CHEN1, Jing BIAN3, Cong ZENG1
Affiliations
  • 1.School of Civil Engineering and Architecture，Northeast Electric Power University，Jilin 132012，China
  • 2.Tianjin Research Institute for Water Transport Engineering，Ministry of Transport，Tianjin 300456，China
  • 3.School of Civil Engineering，Chongqing University，Chongqing 400045，China
Published: 2025-04-10 doi: 10.16385/j.cnki.issn.1004-4523.2025.04.016
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Inerters and negative stiffness devices can improve the energy dissipation performance of vibration absorbers. An increasing number of applications of them in novel high-performance vibration suppression have been witnessed. In this paper，analytical parametric optimization analyses on the tuned inerter mass systems with negative stiffness（NS-TIMS）are performed. A unified model of governing equations and transfer functions for NS-TIMS under different installation locations，application scenarios（such as inter-layer vibration absorption，and base isolation）and excitation types is established. Based on the fixed-point theory，the optimal parameters of NS-TIMS considering both H∞ and H2 norms are analytically derived. Considering typical application conditions，the analytical formulas are further analyzed and simplified. Consequently，the design formulas for the optimal parameters of NS-TIMS based on the“equivalent inertial mass ratio” are proposed. The application scopes of the design formula are discussed. Through numerical cases on the practical examples of wind-induced vibration control and seismic base isolation，the effectiveness of the design formulas considering the actual structural damping ratio and spectral characteristics of stochastic excitations is verified. It is also revealed that NS-TIMSs have superior performances in both high flexible structure vibration absorption and auxiliary base vibration isolation.

base isolation  /  dynamic vibration absorber  /  negative stiffness  /  inerter  /  H∞ optimization
Ning SU, Zhaoqing CHEN, Jing BIAN, Cong ZENG. Analytical parametric optimization analysis and design formulas of tuned inerter mass vibration control system with negative stiffness[J]. Journal of Vibration Engineering, 2025 , 38 (4) : 803 -815 . DOI: 10.16385/j.cnki.issn.1004-4523.2025.04.016
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Year 2025 volume 38 Issue 4
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Article Info
doi: 10.16385/j.cnki.issn.1004-4523.2025.04.016
  • Receive Date：2023-07-12
  • Online Date：2026-02-12
  • Published：2025-04-10
Article Data
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History
  • Received：2023-07-12
  • Revised：2023-10-10
Funding
Affiliations
    1.School of Civil Engineering and Architecture，Northeast Electric Power University，Jilin 132012，China
    2.Tianjin Research Institute for Water Transport Engineering，Ministry of Transport，Tianjin 300456，China
    3.School of Civil Engineering，Chongqing University，Chongqing 400045，China
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Citations
表12种不同金属材料的力学参数
科
Family		 属数
Number of
genus		 种数
Number of
species		 占总种数比例
Percentage of
total species (%)		 属
Genus		 种数
Number of
species		 占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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