ANALYTIC SOLUTIONS TO THE OSCILLATORY BEHAVIOR AND PRIMARY RESONANCE OF ELECTROSTATICALLY ACTUATED MICROBRIDGES

DOI10.1142/S0219455411004506zbMath1245.74099OpenAlexW1991341638MaRDI QIDQ2905170

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Publication date: 24 August 2012

Published in: International Journal of Structural Stability and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219455411004506

zbMATH Keywords

analytic solutionvibrationresonancehomotopy analysis methodMEMShomotopy perturbation methodNEMS

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (6)

Size dependent dynamic behavior of electrostatically actuated microbridges ⋮ OSCILLATORY BEHAVIOR OF AN ELECTROSTATICALLY ACTUATED MICROCANTILEVER GYROSCOPE ⋮ EFFECTS OF CASIMIR AND VAN DER WAALS FORCES ON THE PULL-IN INSTABILITY OF THE NONLINEAR MICRO AND NANO-BRIDGE GYROSCOPES ⋮ Nonlinear vibration of size dependent microresonators with an electrostatically actuated proof mass ⋮ Coupled Van der Pol oscillator with non-integer order connection ⋮ Primary and secondary resonance analyses of clamped-clamped micro-beams

Cites Work

• The application of homotopy analysis method to nonlinear equations arising in heat transfer
• Application of homotopy analysis method in studying dynamic pull-in instability of microsystems
• Effect of geometric nonlinearity on dynamic pull-in behavior of coupled-domain microstructures based on classical and shear deformation plate theories
• A study of the nonlinear response of a resonant microbeam to an electric actuation
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• An approximate solution technique not depending on small parameters: A special example
• On analytic solution for thin film flow of a fourth grade fluid down a vertical cylinder
• The application of homotopy analysis method to solve a generalized Hirota-Satsuma coupled KdV equation
• Reduced-order models for MEMS applications
• VIBRATION OF INITIALLY STRESSED MICRO- AND NANO-BEAMS

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