Longitudinal vibration of size-dependent rods via nonlocal strain gradient theory
International Journal of Mechanical Sciences, 2016Abstract 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
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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
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Reissner stationary variational principle for nonlocal strain gradient theory of elasticity
European Journal of Mechanics, A/Solids, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S Ali Faghidian
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Nonlinear Vibration Analysis of Beam Microgyroscopes using Nonlocal Strain Gradient Theory
Sensing and Imaging, 2021The 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
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Contribution of nonlocal integral elasticity to modified strain gradient theory
The European Physical Journal Plus, 2021The 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.
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Longitudinal vibration of Bishop nanorods model based on nonlocal strain gradient theory
Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2022In 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
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Nonlinear mechanics of nanoscale tubes via nonlocal strain gradient theory
International Journal of Engineering Science, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ghayesh, M., Farajpour, A.
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Torsional vibration of size-dependent viscoelastic rods using nonlocal strain and velocity gradient theory [PDF]
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
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Free vibrations of elastic beams by modified nonlocal strain gradient theory
International Journal of Engineering Science, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. Apuzzo +4 more
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A coupled nonlinear nonlocal strain gradient theory for functionally graded Timoshenko nanobeams
Microsystem Technologies, 2020A 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
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