Nonlinear size-dependent forced vibrational behavior of microbeams based on a non-classical continuum theory

DOI10.1177/1077546311414600zbMath1348.74148OpenAlexW2153822398MaRDI QIDQ2831963

Masoud Hoore, M. H. Kahrobaiyan, Mohammad Taghi Ahmadian, Mohsen Asghari

Publication date: 4 November 2016

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1077546311414600

zbMATH Keywords

size effectsnonlinear vibrationmodified couple stress theorymicrobeamsnon-classical continuum theory

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Forced motions in linear vibration theory (70J35)

Related Items (8)

Triangular Mindlin microplate element ⋮ Small-scale Timoshenko beam element ⋮ Viscoelasticity effects on resonant response of a shear deformable extensible microbeam ⋮ Investigation of the small-scale effects on the three-dimensional flexural vibration characteristics of a basic model for micro-engines ⋮ Size-dependent nonlinear dynamics of a microbeam based on the modified couple stress theory ⋮ Multiscale Buckling and Post-Buckling Analysis: a Comprehensive Review ⋮ A strain gradient Timoshenko beam element: application to MEMS ⋮ Nonlinear forced vibration of strain gradient microbeams

Cites Work

• The size-dependent natural frequency of Bernoulli-Euler micro-beams
• A nonlinear Timoshenko beam formulation based on the modified couple stress theory
• A microstructure-dependent Timoshenko beam model based on a modified couple stress theory
• Static pull-in analysis of electrostatically actuated microbeams using homotopy perturbation method
• Application of homotopy analysis method in studying dynamic pull-in instability of microsystems
• Elastic materials with couple-stresses
• Experiments and theory in strain gradient elasticity.
• Indentation size effects in crystalline materials: a law for strain gradient plasticity
• Couple stress based strain gradient theory for elasticity
• The mechanics of size-dependent indentation
• Effects of couple-stresses in linear elasticity
• The influence of an internal resonance on non-linear structural vibrations under combination resonance conditions
• On Damping Mechanisms in Beams

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