Dynamics of a nonlinear microresonator based on resonantly interacting flexural-torsional modes

DOI10.1007/S11071-007-9326-YzbMath1178.70085OpenAlexW2154768011MaRDI QIDQ840471

Ashwin Vyas, Dimitrios Peroulis, Anil K. Bajaj

Publication date: 11 September 2009

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-007-9326-y

zbMATH Keywords

parametric resonanceinternal resonanceautoparametric resonanceflexural-torsional oscillationsmicroelectromechanical resonators

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Vibrations in dynamical problems in solid mechanics (74H45) Parametric resonances for nonlinear problems in mechanics (70K28)

Related Items (4)

Structural optimization for nonlinear dynamic response ⋮ Supercritical nonlinear parametric dynamics of Timoshenko microbeams ⋮ Parametric resonance and Hopf bifurcation analysis for a MEMS resonator ⋮ Modeling and analysis of electrostatic MEMS filters

Cites Work

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• Nonlinear flexural-flexural-torsional-extensional dynamics of beams. I: Formulation
• Amplitude modulated chaos in two-degree-of-freedom systems with quadratic nonlinearities
• A study of the nonlinear response of a resonant microbeam to an electric actuation
• Resonant dynamics of an autoparametric system: A study using higher-order averaging
• Nonlinear dynamics of atomic–force–microscope probes driven in Lennard–Jones potentials
• Linear and Nonlinear Structural Mechanics

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