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Obtaining Linear FRFs for Model Updating in Structures with Multiple Nonlinearities Including Friction

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Topics in Nonlinear Dynamics, Volume 1

Part of the book series: Conference Proceedings of the Society for Experimental Mechanics Series ((CPSEMS,volume 35))

Abstract

Most of the model updating methods used in structural dynamics are for linear systems. However, in real life applications structures may have nonlinearity. In order to apply model updating techniques to a nonlinear structure, linear FRFs of the structure have to be obtained. The linear dynamic behavior of a nonlinear structure can be obtained experimentally by using low forcing level excitations, if friction type of nonlinearity does not exist in the structure. However when the structure has multiple nonlinearities including friction type of nonlinearity, nonlinear forces due to friction will be more pronounced at low forcing level excitations. Then it will not be possible to measure linear FRFs by using low level forcing. In this study a method is proposed to obtain linear FRFs of a nonlinear structure having multiple nonlinearities including friction type of nonlinearity by using experimental measurements made at low and high forcing levels. The motivation is to obtain FRFs of the linear part of the system that can be used in model updating of a nonlinear system. The method suggested can also be used as a nonlinear identification method for nonlinear systems. The proposed method is validated with different case studies using SDOF and lumped MDOF systems and simulated experimental data. The effect of the excitation frequency, at which experiments are carried out, on the accuracy of the proposed method, is also demonstrated.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Middle East Technical University, 06800, Ankara, Turkey

    Güvenç Canbaloğlu

  2. MGEO Division, ASELSAN Inc., 06800, Ankara, Turkey

    Güvenç Canbaloğlu

  3. Department of Mechanical Engineering, Middle East Technical University, 06800, Ankara, Turkey

    H. Nevzat Özgüven

Authors
  1. Güvenç Canbaloğlu
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  2. H. Nevzat Özgüven
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Corresponding author

Correspondence to Güvenç Canbaloğlu .

Editor information

Editors and Affiliations

  1. University of Liege, Place du 20-Août 7, Liege, 4000, Belgium

    Gaetan Kerschen

  2. , School of Mechanical Engineering, Purdue University, Purdue Mall 585, West Lafayette, 47907-2088, USA

    Douglas Adams

  3. LMS International, Brussels, Belgium

    Alex Carrella

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© 2013 The Society for Experimental Mechanics, Inc.

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Canbaloğlu, G., Özgüven, H.N. (2013). Obtaining Linear FRFs for Model Updating in Structures with Multiple Nonlinearities Including Friction. In: Kerschen, G., Adams, D., Carrella, A. (eds) Topics in Nonlinear Dynamics, Volume 1. Conference Proceedings of the Society for Experimental Mechanics Series, vol 35. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6570-6_13

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  • DOI: https://doi.org/10.1007/978-1-4614-6570-6_13

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-6569-0

  • Online ISBN: 978-1-4614-6570-6

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