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Tuned Liquid Column for Dampering Rotational Motion of a Nonlinear Horizontal Deck

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Abstract

Purpose and Background

This paper aims to show how we can reduce rotational motions of a rigid mechanical structure subjected to a harmonic excitation using a tuned liquid column damper (TLCD). The studied mechanical structure here is a nonlinear horizontal deck regularly found in on/offshore. In civil and mechanical engineering, structures could be subjected to various types of external excitations leading to undesirable high amplitude of vibration.

Methods

This paper presents the modeling of a nonlinear horizontal deck with a TLCD and how it can be arranged to mitigate the vibrations. The Routh–Hurwitz criterion is used to derive the stability condition of the controlled system.

Results

The stability domain is displayed in the function of coupling parameters between the structure and the TLCD.

Conclusion

Some physical parameters of the TLCD such as the head loss coefficient δ, the horizontal length Lh and the crosssection ratio ν are optimized in order to the reduce considerably vibration amplitude of the mechanical structure.

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Author information

Authors and Affiliations

  1. Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon

    M. S. Kana Nguemo, A. M. Ngounou, S. C. Mba Feulefack, A. A. Nanha Djanan & B. R. Nana Nbendjo

  2. Universidade Tecnologica Federal do Parana, UTFPR, Av. Alberto Carazzai 1640, 86300-000, Cornelio Procopio, PR, Brazil

    Alessandro N. Vargas

Authors
  1. M. S. Kana Nguemo
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  2. A. M. Ngounou
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  3. S. C. Mba Feulefack
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  4. A. A. Nanha Djanan
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  5. Alessandro N. Vargas
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  6. B. R. Nana Nbendjo
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Corresponding author

Correspondence to A. A. Nanha Djanan.

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Appendix

Appendix

The fourth order Runge Kutta method was used to solve Eq.(21). The discretization and solution procedure used are given in the following link: https://docs.google.com/document/d/1p-EyGUEqWPgofZ2lwPSDuxBK_aYMmeKz/edit?usp=sharing &ouid=111563002132316730422 &rtpof=true &sd=true.

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Nguemo, M.S.K., Ngounou, A.M., Feulefack, S.C.M. et al. Tuned Liquid Column for Dampering Rotational Motion of a Nonlinear Horizontal Deck. J. Vib. Eng. Technol. 11, 589–597 (2023). https://doi.org/10.1007/s42417-022-00596-8

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  • DOI: https://doi.org/10.1007/s42417-022-00596-8

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