Nonlinear system identification of a cantilever beam with attached cubic nonlinear spring at its free end

Mehmet Kurt, Melih Eriten, Alexander F Vakakis, D. Michael McFarland, Lawrence Bergman

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper presents the identification of the local nonlinear effects on the essential dynamics of distributed parameter systems. The system considered is a simple cantilever beam with an attached cubic nonlinear spring at its tip. Nonlinear system identification (NSI) method applied in this work uses numerical simulation results and combines slow-flow dynamic analysis and empirical mode decomposition (EMD) to reconstruct the dynamics in modal coordinates as reducedorder models. The reduced-order models are single-degree-of freedom linear oscillators, which are termed intrinsic modal oscillators (IMOs), with a forcing computed through slow-flow analysis. These forced oscillators are capable of reproducing the modal dynamics, and their forcing amplitudes provide essential information about modal interactions and energy transfer. The proposed NSI method was applied to 3 main cases, corresponding to weakly nonlinear, strongly nonlinear and linear dynamics, respectively. A discrete model of the original system is used to investigate the internal resonances and nonlinearity effects in the original system, by making use of Frequency-Energy plots (FEPs).

Original languageEnglish (US)
Title of host publicationASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012
Pages247-252
Number of pages6
DOIs
StatePublished - Dec 1 2012
EventASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012 - Chicago, IL, United States
Duration: Aug 12 2012Aug 12 2012

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
Volume6

Other

OtherASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012
CountryUnited States
CityChicago, IL
Period8/12/128/12/12

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ASJC Scopus subject areas

  • Modeling and Simulation
  • Mechanical Engineering
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design

Cite this

Kurt, M., Eriten, M., Vakakis, A. F., Michael McFarland, D., & Bergman, L. (2012). Nonlinear system identification of a cantilever beam with attached cubic nonlinear spring at its free end. In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012 (pp. 247-252). (Proceedings of the ASME Design Engineering Technical Conference; Vol. 6). https://doi.org/10.1115/DETC2012-70739