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Identification of nonlinear normal modes for a highly flexible beam

Abdeljawad, T ; Sharif University of Technology | 2020

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  1. Type of Document: Article
  2. DOI: 10.1016/j.aej.2020.03.004
  3. Publisher: Elsevier B.V , 2020
  4. Abstract:
  5. In this paper, a new approach is used to obtain the nonlinear mode for a flexible cantilever beam. The dependency of resonance of the beam on the exciting force amplitude is observed experimentally and theoretically. In this regard, the end response of a cantilever beam under the base excitation is measured for various force amplitudes. Then, by using the nonlinear normal modes, the reduced-order governing equation is obtained. The discrete model obtained according to identification of nonlinear terms can predict the frequency response of the beam and jump phenomenon properly. Comparison between experimental data and theoretical outputs show acceptable agreement. © 2020 Faculty of Engineering, Alexandria University
  6. Keywords:
  7. Cantilever beam ; Frequency response ; Mathematical modeling ; Nonlinear modes ; Cantilever beams ; Flexible structures ; Mathematical models ; Nanocantilevers ; Base excitation ; Discrete modeling ; Exciting forces ; Flexible cantilever beam ; Governing equations ; Nonlinear mode ; Nonlinear normal modes ; Nonlinear terms ; Nonlinear equations
  8. Source: Alexandria Engineering Journal ; Volume 59, Issue 4 , 2020 , Pages 2419-2427
  9. URL: https://www.sciencedirect.com/science/article/pii/S1110016820301034