Experimental investigation and theoretical modelling on nonlinear dynamics of cantilevered microbeams
From MaRDI portal
Publication:2332481
DOI10.1016/J.EUROMECHSOL.2019.103834zbMath1483.74042OpenAlexW2965019973MaRDI QIDQ2332481
Zhenkun Li, Yuming He, Bo Zhang, Jian Lei, Dabiao Liu, Song Guo
Publication date: 4 November 2019
Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.euromechsol.2019.103834
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Micromechanics of solids (74M25) Experimental work for problems pertaining to mechanics of deformable solids (74-05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)
Related Items (10)
Size-dependent analysis of porous multi-directional FG shell structures based on the modified couple stress theory using the unsymmetric finite element method ⋮ Variational formulation and differential quadrature finite element for freely vibrating strain gradient Kirchhoff plates ⋮ Size-dependent thermal bending of bilayer microbeam based on modified couple stress theory and Timoshenko beam theory ⋮ Parametrically excited microcantilever beam under large deflection and mass sensing ⋮ Vibration analysis of scale-dependent thin shallow microshells with arbitrary planform and boundary conditions ⋮ Surface energy-enriched gradient elastic Kirchhoff plate model and a novel weak-form solution scheme ⋮ On large deformation and stability of microcantilevers under follower load ⋮ Weak-form differential quadrature finite elements for functionally graded micro-beams with strain gradient effects ⋮ Strain gradient differential quadrature Kirchhoff plate finite element with the \(C^2\) partial compatibility ⋮ Size-dependent vibration and stability of moderately thick functionally graded micro-plates using a differential quadrature-based geometric mapping scheme
Cites Work
- Unnamed Item
- The size-dependent natural frequency of Bernoulli-Euler micro-beams
- Static and dynamic analysis of micro beams based on strain gradient elasticity theory
- A nonlinear Timoshenko beam formulation based on the modified couple stress theory
- Nonlinear non-classical microscale beams: static bending, postbuckling and free vibration
- A microstructure-dependent Timoshenko beam model based on a modified couple stress theory
- Nonlinear non-planar parametric responses of an inextensional beam
- Experiments and theory in strain gradient elasticity.
- Size dependent buckling analysis of microbeams based on modified couple stress theory with high order theories and general boundary conditions
- Nonlinear forced vibrations of a microbeam based on the strain gradient elasticity theory
- 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
- A size-dependent shear deformation beam model based on the strain gradient elasticity theory
- Bending and vibration of functionally graded sinusoidal microbeams based on the strain gradient elasticity theory
- Thermo-mechanical dynamics of perfect and imperfect Timoshenko microbeams
- Nonlinear dynamics of cantilevered microbeams based on modified couple stress theory
- Buckling analysis of size-dependent nonlinear beams based on a nonlocal strain gradient theory
- Size-dependent parametric dynamics of imperfect microbeams
- Nonlinear modeling and size-dependent vibration analysis of curved microtubes conveying fluid based on modified couple stress theory
- Nonlinear free vibration of size-dependent functionally graded microbeams
- A strain gradient functionally graded Euler-Bernoulli beam formulation
- Size-dependent functionally graded beam model based on an improved third-order shear deformation theory
- Size-dependent nonlinear dynamics of a microbeam based on the modified couple stress theory
- Couple stress based strain gradient theory for elasticity
- Dynamic analysis of size-dependent micro-beams with nonlinear elasticity under electrical actuation
- A size-dependent nonlinear Timoshenko microbeam model based on the strain gradient theory
- Global bifurcations and chaotic dynamics in nonlinear nonplanar oscillations of a parametrically excited cantilever beam
- On the internal resonance of multi-degree-of-freedom systems with cubic non-linearity
- VIBRATION ANALYSIS OF RECTANGULAR MINDLIN PLATES RESTING ON ELASTIC EDGE SUPPORTS
This page was built for publication: Experimental investigation and theoretical modelling on nonlinear dynamics of cantilevered microbeams
