Results 151 to 160 of about 10,260 (202)
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Longitudinal vibration of size-dependent rods via nonlocal strain gradient theory

International Journal of Mechanical Sciences, 2016
Abstract The longitudinal vibration analysis of small-scaled rods is studied in the framework of the nonlocal strain gradient theory. The equations of motion and boundary conditions for the vibration analysis of small-scaled rods are derived by employing the Hamilton principle.
Li Li, Yujin Hu, Xiaobai Li
exaly   +4 more sources

Geometrically Nonlinear Electromechanical Instability of FG Nanobeams by Nonlocal Strain Gradient Theory

International Journal of Structural Stability and Dynamics, 2021
This paper is concerned with studying the size-dependent nonlinear dynamic pull-in instability and vibration of functionally graded Euler–Bernoulli nanobeams (FG-EBNs) with the von Kármán hypothesis based on the nonlocal strain gradient theory (NLSGT). To this end, the partial differential equation (PDE) is developed by Hamilton’s principle considering
Hosseini, S. M. J.   +3 more
openaire   +1 more source

Reissner stationary variational principle for nonlocal strain gradient theory of elasticity

European Journal of Mechanics, A/Solids, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S Ali Faghidian
exaly   +3 more sources

Nonlinear Vibration Analysis of Beam Microgyroscopes using Nonlocal Strain Gradient Theory

Sensing and Imaging, 2021
The objective of this paper is to present a novel nonlocal strain gradient formulation for dynamic analysis of microgyroscopes. Taking into account the effect of nonlocal and gradient strains, the coupled equations of motion and the corresponding boundary conditions are derived using the Hamilton’s principle.
Moeen Radgolchin, Masoud Tahani
openaire   +1 more source

Contribution of nonlocal integral elasticity to modified strain gradient theory

The European Physical Journal Plus, 2021
The nonlocal integral elasticity and the modified strain gradient theory are consistently integrated in the framework of the nonlocal modified gradient theory of elasticity. The equivalent differential formulation of the constitutive law, equipped with appropriate nonstandard boundary conditions, is introduced.
openaire   +1 more source

Longitudinal vibration of Bishop nanorods model based on nonlocal strain gradient theory

Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2022
In this study, the longitudinal vibration of nanorods is investigated in the framework of nonlocal strain gradient theory and Bishop's rod model for the first time in the literature. Unlike simple rod theory, radial deformation and radial inertia are considered in Bishop rod theory.
Ufuk Gul, Metin Aydogdu
openaire   +1 more source

Nonlinear mechanics of nanoscale tubes via nonlocal strain gradient theory

International Journal of Engineering Science, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ghayesh, M., Farajpour, A.
openaire   +2 more sources

Torsional vibration of size-dependent viscoelastic rods using nonlocal strain and velocity gradient theory [PDF]

open access: yesComposite Structures, 2018
Abstract In this paper the torsional vibration of size-dependent viscoelastic nanorods embedded in an elastic medium with different boundary conditions is investigated. The novelty of this study consists of combining the nonlocal theory with the strain and velocity gradient theory to capture both softening and stiffening size-dependent ...
Sami El Borgi   +2 more
exaly   +3 more sources

Free vibrations of elastic beams by modified nonlocal strain gradient theory

International Journal of Engineering Science, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. Apuzzo   +4 more
openaire   +2 more sources

A coupled nonlinear nonlocal strain gradient theory for functionally graded Timoshenko nanobeams

Microsystem Technologies, 2020
A coupled nonlinear nonlocal strain gradient theory (NSGT) is developed for functionally graded Timoshenko nanoscale (FGTN) beams. This highly nonlinear-scale-dependent continuum model is solved numerically for dynamical responses for the first time. Hamilton’s energy minimisation technique is used for rotation-equation of the nanobeam in addition to ...
Alireza Gholipour, Mergen H. Ghayesh
openaire   +1 more source

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