A novel formulation for the weak quadrature element method for solving vibration of strain gradient graded nonlinear nanobeams
DOI10.1007/S00707-022-03321-4zbMath1505.74209OpenAlexW4297243339MaRDI QIDQ2092951
Mohamed Trabelssi, Sami El-Borgi
Publication date: 4 November 2022
Published in: Acta Mechanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00707-022-03321-4
Lagrange polynomialHamilton principleTimoshenko nanobeamfree vibration frequencyEuler-Bernoulli nanobeamGauss quadrature point
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Micromechanics of solids (74M25) Numerical and other methods in solid mechanics (74S99)
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Cites Work
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- Surface stress effect on the vibration and instability of nanoscale pipes conveying fluid based on a size-dependent Timoshenko beam model
- Postbuckling analysis of microscale beams based on a strain gradient finite element approach
- Comparison of different higher order finite element schemes for the simulation of Lamb waves
- Mechanical analysis of higher order gradient nanobeams
- Elastic materials with couple-stresses
- Free vibration analysis of nonlocal strain gradient beams made of functionally graded material
- Nonlinear free vibration of a functionally graded nanobeam using nonlocal strain gradient theory and a novel Hamiltonian approach
- Nonlinear bending and free vibration analyses of nonlocal strain gradient beams made of functionally graded material
- Wave characteristics of nanotubes conveying fluid based on the non-classical Timoshenko beam model incorporating surface energies
- Small-scale Timoshenko beam element
- Size dependency in vibration analysis of nano plates; one problem, different answers
- Novel differential quadrature element method for vibration analysis of hybrid nonlocal Euler-Bernoulli beams
- Bending and stability analysis of gradient elastic beams
- Couple stress based strain gradient theory for elasticity
- A novel weak form quadrature element for gradient elastic beam theories
- A strain gradient Timoshenko beam element: application to MEMS
- Three-dimensional vibration analysis of curved and twisted beams with irregular shapes of cross-sections by sub-parametric quadrature element method
- Static and dynamic response of CNT nanobeam using nonlocal strain and velocity gradient theory
- Novel weak form quadrature element method with expanded Chebyshev nodes
- Strain gradient beam element
- Effects of couple-stresses in linear elasticity
- Micro-structure in linear elasticity
- A non-classical Timoshenko beam element for the postbuckling analysis of microbeams based on Mindlin's strain gradient theory
- Harmonic Balance for Nonlinear Vibration Problems
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