Nonlinear damping in micromachined bridge resonators
-
Published:2022-10-19
Issue:3
Volume:111
Page:2311-2325
-
ISSN:0924-090X
-
Container-title:Nonlinear Dynamics
-
language:en
-
Short-container-title:Nonlinear Dyn
Author:
Farokhi HamedORCID, Rocha Rodrigo T., Hajjaj Amal Z., Younis Mohammad I.
Abstract
AbstractThis 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.
Funder
King Abdullah University of Science and Technology
Publisher
Springer Science and Business Media LLC
Subject
Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering
Reference64 articles.
1. Han, J., Jin, G., Zhang, Q., Wang, W., Li, B., Qi, H., Feng, J.: Dynamic evolution of a primary resonance MEMS resonator under prebuckling pattern. Nonlinear Dyn. 93, 2357–2378 (2018) 2. Luo, S., Li, S., Tajaddodianfar, F.: Adaptive chaos control of the fractional-order arch MEMS resonator. Nonlinear Dyn. 91, 539–547 (2018) 3. Indeitsev, D., Belyaev, Y.V., Lukin, A., Popov, I.: Nonlinear dynamics of MEMS resonator in PLL-AGC self-oscillation loop. Nonlinear Dyn. 104, 3187–3204 (2021) 4. Algamili, A.S., Khir, M.H.M., Dennis, J.O., Ahmed, A.Y., Alabsi, S.S., Hashwan, S.S.B., Junaid, M.M.: A review of actuation and sensing mechanisms in MEMS-based sensor devices. Nanoscale Res. Lett. 16, 1–21 (2021) 5. Hautefeuille, M., O’Mahony, C., O’Flynn, B., Khalfi, K., Peters, F.: A MEMS-based wireless multisensor module for environmental monitoring. Microelectron. Reliab. 48, 906–910 (2008)
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
|
|