Nonlinear damping in micromachined bridge resonators

Hamed Farokhi, Rodrigo Tumolin Rocha, Amal Z. Hajjaj, Mohammad I. Younis

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


This study presents a thorough theoretical and experimental investigation on the nonlinear damping of in-plane micromachined electromechanical resonators. More specifically, experiments are conducted on an electrically actuated bridge resonator, and the primary resonance response of the system is obtained at various AC and DC voltages. A nonlinear theoretical model is developed using the Euler–Bernoulli beam theory while accounting for the geometric, electrostatic (including fringing field effect), and damping nonlinearities. Two damping models are considered in the theoretical model: the Kelvin–Voigt model, which for this system is a nonlinear damping model due to the presence of geometric nonlinearities. The second damping model consists of linear, quadratic, and cubic damping terms. A high-dimensional discretisation is performed, and the nonlinear dynamics of the resonator are examined in detail in the primary resonance regime by constructing the frequency response diagrams at various AC and DC voltages. Thorough comparisons are conducted between the experimental data and the theoretical results for different damping conditions. It is shown that the microresonator displays strong nonlinear damping. Detailed calibration procedures for the nonlinear damping models are proposed, and the advantages and disadvantages of each nonlinear damping model are discussed.
Original languageEnglish (US)
JournalNonlinear Dynamics
StatePublished - Oct 19 2022

Bibliographical note

KAUST Repository Item: Exported on 2022-10-21
Acknowledgements: The team at King Abdullah University of Science and Technology (KAUST) acknowledges the financial support of this work, which enabled carrying out the experimental study.

ASJC Scopus subject areas

  • Mechanical Engineering
  • Ocean Engineering
  • Applied Mathematics
  • Control and Systems Engineering
  • Electrical and Electronic Engineering
  • Aerospace Engineering


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