A comparison of different semi-analytical techniques to determine the nonlinear oscillations of a slender microbeam

DOI10.1007/s11012-014-9951-8zbMath1299.74076OpenAlexW2029761687MaRDI QIDQ475494

Pierpaolo Belardinelli, Stefano Lenci, Lucio Demeio

Publication date: 27 November 2014

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-014-9951-8

zbMATH Keywords

MEMSmicrobeamsHAMsemi-analytical techniques

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Micromechanics of solids (74M25)

Related Items (3)

Modeling and analysis of forced vibrations in transversely isotropic thermoelastic thin beams ⋮ Global dynamics and integrity of a micro-plate pressure sensor ⋮ Buckling and Nonlinear Vibration of Size-Dependent Nanobeam based on the Non-Local Strain Gradient Theory

Cites Work

• Pull-in analysis of electrically actuated viscoelastic microbeams based on a modified couple stress theory
• Analytical approximations to nonlinear vibration of an electrostatically actuated microbeam
• Notes on the homotopy analysis method: some definitions and theorems
• Dynamic pull-in phenomenon in MEMS resonators
• Experiments and theory in strain gradient elasticity.
• Dynamical characteristics of an electrically actuated microbeam under the effects of squeeze-film and thermoelastic damping
• A nonlinear strain gradient beam formulation
• Couple stress based strain gradient theory for elasticity
• Preliminary report on the energy balance for nonlinear oscillations.
• Dynamic model of large amplitude non-linear oscillations arising in the structural engineering: analytical solutions
• Variational approach for nonlinear oscillators
• Beyond Perturbation

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