Some Aspects of Using the Random Decrement Technique for Nonlinear Systems

Karsten Krautwald Vesterholm, Rune Brincker, Anders Brandt

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The random decrement (RD) technique can be used to analyze the response signal from a system that has amplitude dependent modal parameters. The implementation of RD for this purpose is usually done by simply applying the technique at multiple amplitudes in the measured response signal. Modal parameters are then estimated based on RD signatures using well known time domain modal parameter estimation methods. This analysis procedure originates from the invention of the RD technique, and is described by several studies in the literature. However, the RD technique is developed for linear systems, and caution must be exercised when applying it to nonlinear systems. In this study, several aspects of applying of the RD technique on signals exhibiting nonlinear behavior are addressed. The principle of superposition does not apply for a nonlinear system. This means the averaging process in RD can yield corrupted results. The benefit of a sufficiently high sampling rate is described.
Original languageEnglish
Title of host publicationNonlinear Structures and Systems, Volume 1 - Proceedings of the 38th IMAC, A Conference and Exposition on Structural Dynamics, 2020 : Conference Proceedings of the Society for Experimental Mechanics Series
EditorsGaetan Kerschen, Matthew R.W. Brake, Ludovic Renson
Publication date2021
ISBN (Print)978-3-030-47625-0
ISBN (Electronic)978-3-030-47626-7
Publication statusPublished - 2021
EventInternational Modal Analysis Conference - Houston, United States
Duration: 10. Feb 202013. Feb 2020
Conference number: XXXVII


ConferenceInternational Modal Analysis Conference
Country/TerritoryUnited States
SeriesConference Proceedings of the Society for Experimental Mechanics Series


  • Nonlinear system
  • Random decrement
  • Random vibrations
  • Signal processing
  • System identification


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