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Design and simulation of double-mass dynamic vibration absorber with residual vibration mode

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Abstract

This paper presents a double-mass dynamic vibration absorber (DVA) that rapidly reduces the motion of the object to be damped (main system) and converts it to the motion of the DVA. In this way, the DVA attenuates the vibration of the main system. A DVA is usually designed to improve the resonance amplitude and convergence time of the main system vibration, and the kinetic energy of the main system is dissipated as heat in the damping element of the DVA. We describe a novel configuration consisting of two DVAs connected by a spring and an inerter. This new structure enables a rapid response reduction of the main system and residual vibration in the DVA. By tuning the responses of both the main system and the DVA, two vibration modes can be realized: a damping mode and a residual vibration mode. The proposed device is optimized using a genetic algorithm and applied to a bridge to demonstrate its performance.

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Abbreviations

a 1n, a 2n :

Parameters for fitness function

b n :

Dimensionless evaluation value

c 1 :

Damping coefficient of the main system

c 2, c 3, c 4 :

Damping coefficients of the DVAs

f b :

Frequency of mode B

f m :

Frequency of the main system

g n :

Target value

k 1 :

Stiffness coefficient of the main system

k 2, k 3, k 4 :

Stiffness coefficients of the DVAs

m 1 :

Mass of the main system

m 2, m 3 :

Mass of the DVAs

r 1 :

Lower limit of tolerance for evaluation value

r u :

Upper limit of tolerance for evaluation value

s 1∼s 7 :

Genes of genetic algorithm

x 0 :

Absolute displacement of the motion excitation

x 1 :

Absolute displacement of the main system

x 2, x 3 :

Absolute displacements of the DVAs

y 1 :

Relative displacement of the main system

y 2, y 3 :

Relative displacements of the DVAs

μ :

Mass ratio of DVA to main system

ψ :

Inertial mass of an inerter

λ 1, λ 2 :

Component of eigenmode vector

ω b :

Non-damped natural angular frequency of mode B

ζ A1, ζ A2 :

Damping ratios of mode A

ζ B :

Damping ratio of mode B

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Acknowledgments

We thank Stuart Jenkinson, Ph.D., from Edanz (https://jp.edanz.com/ac) for editing a draft of this manuscript.

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Authors and Affiliations

  1. Faculty of Mechanical Engineering, Kyoto Institute of Technology, Kyoto, 6068585, Japan

    Nanako Miura & Naoki Matsuo

  2. Faculty of Geosciences and Civil Engineering, Kanazawa University, Ishikawa, 9201192, Japan

    Saiji Fukada

  3. Civil Engineering Division, Hazama Ando Corporation, Tokyo, 1078658, Japan

    Sawako Tomioka

Authors
  1. Nanako Miura
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  2. Naoki Matsuo
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Corresponding author

Correspondence to Nanako Miura.

Additional information

Nanako Miura is an Associate Professor in the Faculty of Mechanical Engineering, Kyoto Institute of Technology, Kyoto, Japan. She received her Ph.D. in engineering from Keio University. Her research interests include vibration control, structural health monitoring, and earthquake disaster countermeasures.

Naoki Matsuo is a graduate student in the Faculty of Mechanical Engineering, Kyoto Institute of Technology, Kyoto, Japan. He received his B.Eng. from Kyoto Institute of Technology. His research interests include vibration control and vibration energy harvesting.

Saiji Fukada is a Professor in the Faculty of Geosciences and Civil Engineering, Kanazawa University, Ishikawa, Japan. He received his Doctor of Engineering degree from Kanazawa University. His research interests include bridge vibration, bridge maintenance, and structural health monitoring.

Sawako Tomioka is an engineer in the Civil and Structural Engineering Department, Civil Engineering Division, Hazama Ando Corporation, Tokyo, Japan. She received her Ph.D. in engineering from Waseda University. Her research interest includes bridge design.

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Miura, N., Matsuo, N., Fukada, S. et al. Design and simulation of double-mass dynamic vibration absorber with residual vibration mode. J Mech Sci Technol 37, 2771–2779 (2023). https://doi.org/10.1007/s12206-023-0505-7

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  • DOI: https://doi.org/10.1007/s12206-023-0505-7

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