Smart Structures and Systems

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Optimal design of a viscous inertial mass damper for a taut cable by the fixed-points method

  • Duan, Y.F. (College of Civil Engineering and Architecture, Zhejiang University) ;
  • Dong, S.H. (College of Civil Engineering and Architecture, Zhejiang University) ;
  • Xu, S.L. (College of Civil Engineering and Architecture, Zhejiang University) ;
  • Yun, C.B. (College of Civil Engineering and Architecture, Zhejiang University)
  • Received : 2021.06.25
  • Accepted : 2021.12.15
  • Published : 2022.07.25
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Abstract

The negative stiffness of an active or semi-active damper system has been proven to be very effective in reducing dynamic response. Therefore, energy dissipation devices possessing negative stiffness, such as viscous inertial mass dampers (VIMDs), have drawn much attention recently. The control performance of the VIMD for cable vibration mitigation has already been demonstrated by many researchers. In this paper, a new optimal design procedure for VIMD parameters for taut cable vibration control is presented based on the fixed-points method originally developed for tuned mass damper design. A model consisting of a taut cable and a VIMD installed near a cable end is studied. The frequency response function (FRF) of the cable under a sinusoidal load distributed proportionally to the mode shape is derived. Then, the fixed-points method is applied to the FRF curves. The performance of a VIMD with the optimal parameters is subsequently evaluated through simulations. A taut cable model with a tuned VIMD is established for several cases of external excitation. The performance of VIMDs using the proposed optimal parameters is compared with that in the literature. The results show that cable vibration can be significantly reduced using the proposed optimal VIMD with a relatively small amount of damping. Multiple VIMDs are applied effectively to reduce the cable vibration with multi-modal components.

Keywords

Acknowledgement

The research described in this paper was financially supported by the National Key R&D Program of China (2018YFE0125400, 2019YFE0112600, 2017YFC0806100) and National Natural Science Foundation of China (U1709216).

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