Chaotic motion of a parametrically excited microbeam

DOI10.1016/j.ijengsci.2015.07.004zbMath1423.74480OpenAlexW1483947423MaRDI QIDQ1623201

Mergen H. Ghayesh, Hamed Farokhi

Publication date: 23 November 2018

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2015.07.004

zbMATH Keywords

chaosquasiperiodic motionmodified couple stress theorymicrobeamparametrically excitedPoincaré Section

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65)

Related Items

Dynamic characteristic analysis of harmonically excited cracked vibration platform with intermediate nonlinear support, Buckling analysis of size-dependent nonlinear beams based on a nonlocal strain gradient theory, Nonlinear mechanics of doubly curved shallow microshells, Nonlinear mechanics of electrically actuated microplates, Dynamics of functionally graded viscoelastic microbeams, Nonlinear mechanical behaviour of microshells, Ambient vibration energy harvesters: a review on nonlinear techniques for performance enhancement, On the viscoelastic dynamics of fluid-conveying microtubes, Nonlinear mechanics of nanoscale tubes via nonlocal strain gradient theory, Nonlinear biomechanics of bifurcated atherosclerotic coronary arteries, Nonlinear mechanics of nanotubes conveying fluid, A review on the mechanics of nanostructures, On the dynamics of imperfect shear deformable microplates, Size-dependent parametric dynamics of imperfect microbeams, Size-dependent performance of microgyroscopes, On size-dependent lead-lag vibration of rotating microcantilevers, Nonlinear free vibration of a functionally graded nanobeam using nonlocal strain gradient theory and a novel Hamiltonian approach, Free flexural vibration of geometrically imperfect functionally graded microbeams, On size-dependent Timoshenko beam element based on modified couple stress theory, Latching in bistable electrostatically actuated curved micro beams, On the stress analysis of anisotropic curved panels, Dynamics of functionally graded micro-cantilevers, On nonlinear vibrations of micropipes conveying fluid, Nonlinear oscillations of viscoelastic microplates, On the vibration dynamics of heterogeneous panels under arbitrary boundary conditions, Influence of imperfection on amplitude and resonance frequency of a reinforcement compositionally graded nanostructure, Wave propagation analysis of a spinning porous graphene nanoplatelet-reinforced nanoshell, Viscoelasticity effects on resonant response of a shear deformable extensible microbeam, Nonlinear analysis of a parametrically excited beam with intermediate support by using multi-dimensional incremental harmonic balance method, Nonlinear coupled mechanics of functionally graded nanobeams, A review on the mechanics of functionally graded nanoscale and microscale structures, Dynamic analysis of nonlinear rotating composite shafts excited by non‐ideal energy source, Local and global dynamics of a functionally graded dielectric elastomer plate, Large-amplitude dynamics of a functionally graded microcantilever with an intermediate spring-support and a point-mass, Dynamical analysis of multilayered cantilevers, Effect of flow pulsations on chaos in nanotubes using nonlocal strain gradient theory, Global dynamics of fluid conveying nanotubes, Viscoelastic dynamics of axially FG microbeams, Chaotic responses and nonlinear dynamics of the graphene nanoplatelets reinforced doubly-curved panel, Chaos in fluid-conveying NSGT nanotubes with geometric imperfections, Nonlinear dynamics of fluid-conveying composite pipes subjected to time-varying axial tension in sub- and super-critical regimes, Mechanics of viscoelastic functionally graded microcantilevers, Modified couple stress theory in orthogonal curvilinear coordinates, On the nonlinear bending and post-buckling behavior of laminated sandwich cylindrical shells with FG or isogrid lattice cores, A review on the biomechanics of coronary arteries, Nonlinear broadband performance of energy harvesters, Nonlinear vibration analysis of axially functionally graded shear-deformable tapered beams, Effect of parametric excitation on a bifractional-order damped system with a fractional-power nonlinearity, Primary and secondary resonance analysis of porous functionally graded nanobeam resting on a nonlinear foundation subjected to mechanical and electrical loads, On the mechanics of functionally graded nanoshells, A novel nonlinear elasticity approach for analysis of nonlinear and hyperelastic structures

Cites Work

• The size-dependent natural frequency of Bernoulli-Euler micro-beams
• Dynamic analysis of an embedded microbeam carrying a moving microparticle based on the modified couple stress theory
• 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
• Size dependent buckling analysis of microbeams based on modified couple stress theory with high order theories and general boundary conditions
• Bending and vibration of functionally graded microbeams using a new higher order beam theory and the modified couple stress theory
• Size-dependent vibration analysis of three-dimensional cylindrical microbeams based on modified couple stress theory: a unified treatment
• Three-dimensional nonlinear size-dependent behaviour of Timoshenko microbeams
• Thermo-mechanical dynamics of perfect and imperfect Timoshenko microbeams
• A geometrically nonlinear beam model based on the second strain gradient theory
• Size-dependent thermal buckling analysis of micro composite laminated beams using modified couple stress theory
• Nonlinear dynamics of cantilevered microbeams based on modified couple stress theory
• The influence of size effect on flapwise vibration of rotating microbeams
• Nonlinear modeling and size-dependent vibration analysis of curved microtubes conveying fluid based on modified couple stress theory
• Nonlinear dynamics of microplates
• A strain gradient functionally graded Euler-Bernoulli beam formulation