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Estimation of Normalized Eigenmodes and Natural Frequencies by Using the Effect of Accelerometers Mass

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Vibration Engineering for a Sustainable Future

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Abstract

Several studies have been attempted to grasp the modal characteristics in machine operation. Derivation of the scaling factor for normalized eigenmodes is one of the important issues in operational modal analysis. In this study, we propose a procedure with the mass of piezoelectric acceleration transducers. Then the vibration testing for the mass change method can be performed without using additional masses. We obtain the modal characteristics from the acquired acceleration responses by the transducers that is less than all measurement points. Therefore, the measurements are performed multiple times by changing the measurement locations. A modified procedure is proposed to calculate the scaling factor for normalized eigenmodes and proper natural frequencies by removing the influence of the mass of the added piezoelectric accelerometer. The validity of the proposed method is verified by numerical calculations and experiments of a rectangular plate.

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References

  1. Bernal, D., Gunes, B.: “Damage localization in output-only systems” A flexibility based approach. In: Proceedings of the International Modal Analysis Conference (IMAX) XX, Los Angeles, California, pp. 1185–1191, February, (2002)

    Google Scholar 

  2. Parlooo, E., Verboven, P., Guillaume, P., Van Overmeire, M.: Sentivitiy-based operational mode shape normalisation. Mech. Syst. Signal Process. 16(5), 757–767 (2002)

    Article  Google Scholar 

  3. Brincker, R., Andersen, P.: A way of getting scaled mode shapes in output only modal analysis. In: Proceedings of the International Modal Analysis Conference (IMAC) XX, paper 141, February, (2003)

    Google Scholar 

  4. Khatibi, M. M., Ashory, M. R., Albooyeh, A. R.: Determination of scaling mode shapes in response only modal analysis. In: Proceedings of the IMAC-XXVII, February, (2009)

    Google Scholar 

  5. Bernal, D.: A receptance based formulation for modal scaling using mass perturbations. Mech. Syst. Signal Process. 25, 621–629 (2011)

    Article  Google Scholar 

  6. Khatibi, M.M., Ashory, M.R., Malekjafarian, A., Brincker, R.: Mass-stiffness change method for scaling of operational mode shapes. Mech. Syst. Signal Process. 26, 34–59 (2012)

    Article  Google Scholar 

  7. Matsumura, Y., Tsujiuchi, N., Koizumi, T.: Cross orthogonality checks of modal vectors(1st report, coordinate cross Orthogonality checks without a mass matrix). Trans. JSME Ser. C. 65(634), 2271–2278 (1999) (in Japanese)

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Tokushima University, Tokushima, Japan

    Junichi Hino

  2. Graduate School of Engineering, Tokushima University, Tokushima, Japan

    Satoshi Ooya

  3. Department of the Mechanical Engineering, Faculty of Engineering, Tokushima University, Tokushima, Japan

    Yuka Shigenai

Authors
  1. Junichi Hino
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  2. Satoshi Ooya
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  3. Yuka Shigenai
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Corresponding author

Correspondence to Junichi Hino .

Editor information

Editors and Affiliations

  1. Centre for Audio, Acoustics and Vibration, Faculty of Engineering and IT, University of Technology Sydney, Sydney, Australia

    Sebastian Oberst

  2. Centre for Audio, Acoustics and Vibration, Faculty of Engineering and IT, University of Technology Sydney, Sydney, Australia

    Benjamin Halkon

  3. School of Mechanical and Mechatronic Engineering, Faculty of Engineering and IT, University of Technology Sydney, Sydney, Australia

    Jinchen Ji

  4. School of Mechanical and Mechatronic Engineering, Faculty of Engineering and IT, University of Technology Sydney, Sydney, Australia

    Terry Brown

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Hino, J., Ooya, S., Shigenai, Y. (2021). Estimation of Normalized Eigenmodes and Natural Frequencies by Using the Effect of Accelerometers Mass. In: Oberst, S., Halkon, B., Ji, J., Brown, T. (eds) Vibration Engineering for a Sustainable Future. Springer, Cham. https://doi.org/10.1007/978-3-030-48153-7_23

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  • DOI: https://doi.org/10.1007/978-3-030-48153-7_23

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-48152-0

  • Online ISBN: 978-3-030-48153-7

  • eBook Packages: EngineeringEngineering (R0)

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