Localizing nonlinear behavior from response measurement

Karsten Krautwald Vesterholm*, Anders Brandt

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review


The process of characterizing a nonlinearity can be defined as determining three things; location, type, and functional form. In the present study it is investigated if the random decrement technique can be used in an output-only setting for one of these; localizing nonlinear behavior. The localization is performed through a novel random decrement analysis procedure of the time history of each response measurement in a multiple degrees-of-freedom system. The analysis will detect nonlinear behavior, if present, and indicate the degree of the nonlinear behavior. A numerical test case is investigated using the analysis procedure, where a localized nonlinear element is located at various discrete locations of a T-shaped structure. Two types of nonlinearities, and three locations are investigated. Results indicate that it is not possible to explicitly determine at which degree-of-freedom a nonlinear element resides. It is, however, possible to determine which degrees-offreedom that are affected by the nonlinear element.
Original languageEnglish
Title of host publicationProceedings of ISMA2020
EditorsW. Desmet, B. Pluymers, D. Moens, S. Vandemaele
Publication date2020
ISBN (Electronic)9789082893113
Publication statusPublished - 2020
EventInternational Conference on Noise and Vibration Engineering -
Duration: 7. Sept 20209. Sept 2020
Conference number: 29


ConferenceInternational Conference on Noise and Vibration Engineering


  • Random vibration
  • Nonlinear system identification
  • Localization of nonlinearity
  • Random decrement
  • NORD


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