Experimental Nonlinear Model Identification of a Highly Nonlinear Resonator

Tanju Yildirim, Jiawei Zhang, Shuaishuai Sun, Gursel Alici, Shiwu Zhang, Weihua Li

Research output: Contribution to journalArticlepeer-review

Abstract

In this work, two model identification methods are used to estimate the nonlinear large deformation behavior of a nonlinear resonator in the time and frequency domains. A doubly clamped beam with a slender geometry carrying a central intraspan mass when subject to a transverse excitation is used as the highly nonlinear resonator. A nonlinear Duffing equation has been used to represent the system for which the main source of nonlinearity arises from large midplane stretching. The first model identification technique uses the free vibration of the system and the Hilbert transform (HT) to identify a nonlinear force-displacement relationship in the large deformation region. The second method uses the frequency response of the system at various base accelerations to relate the maximum resonance frequency to the nonlinear parameter arising from the centerline extensibility. Experiments were conducted using the doubly clamped slender beam and an electrodynamic shaker to identify the model parameters of the system using both of the identification techniques. It was found that both methods produced near identical model parameters; an excellent agreement between theory and experiments was obtained using either of the identification techniques. This follows that two different model identification techniques in the time and frequency domains can be employed to accurately predict the nonlinear response of a highly nonlinear resonator.

Original languageEnglish
Article number034502
JournalJournal of Vibration and Acoustics, Transactions of the ASME
Volume140
Issue number3
DOIs
Publication statusPublished - 2018 Jun 1
Externally publishedYes

Keywords

  • large deformations
  • nonlinear dynamics
  • nonlinear model identification
  • nonlinear resonator

ASJC Scopus subject areas

  • Acoustics and Ultrasonics
  • Mechanics of Materials
  • Mechanical Engineering

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