Analytical solutions for the thermal vibration of strain gradient beams with elastic boundary conditions
type: Item
instance of: scholarly article
title: Analytical solutions for the thermal vibration of strain gradient beams with elastic boundary conditions
zbMATH Open document ID: 1390.74079
author: Jingnong Jiang
author: Lifeng Wang
published in: Acta Mechanica
publication date: 2018-06-12T00:00:00Z
Mathematics Subject Classification ID: 74H05
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74F05
zbMATH DE Number: 6883410
MaRDI profile type: Publication
full work available at URL: s00707-017-2105-z
OpenAlex ID: W2782795043
cites work: Experiments and theory in strain gradient elasticity.
cites work: Nonlocal theories for bending, buckling and vibration of beams
cites work: Bending analysis of microtubules using nonlocal Euler-Bernoulli beam theory
cites work: A nonlocal beam theory for bending, buckling, and vibration of nanobeams
cites work: Exact solution of Eringen's nonlocal integral model for vibration and buckling of Euler-Bernoulli beam
cites work: On the role of gradients in the localization of deformation and fracture
cites work: A classification of higher-order strain-gradient models --- linear analysis
cites work: Couple stress based strain gradient theory for elasticity
cites work: Size effect and asymptotic matching approximations in strain-gradient theories of micro-scale plasticity.
cites work: A microstructure-dependent Timoshenko beam model based on a modified couple stress theory
cites work: Static and dynamic analysis of micro beams based on strain gradient elasticity theory
cites work: Stability of a gradient elastic beam compressed by non-conservative forces
cites work: Bending, buckling and free vibration analysis of size-dependent functionally graded circular/annular microplates based on the modified strain gradient elasticity theory
cites work: Strain Gradient Finite Element Analysis on the Vibration of Double-Layered Graphene Sheets
cites work: Closed-form frequency solutions for simplified strain gradient beams with higher-order inertia
cites work: A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation
cites work: Size-dependent vibration analysis of nanobeams based on the nonlocal strain gradient theory
cites work: Bending and stability analysis of gradient elastic beams
cites work: Static, stability and dynamic analysis of gradient elastic flexural Kirchhoff plates
cites work: Finite element static and stability analysis of gradient elastic beam structures
cites work: Variational analysis of gradient elastic flexural plates under static loading
cites work: VIBRATION ANALYSIS OF RECTANGULAR MINDLIN PLATES RESTING ON ELASTIC EDGE SUPPORTS
cites work: Vibrations of Mindlin rectangular plates with elastically restrained edges using static Timoshenko beam functions with the Rayleigh-Ritz method.
cites work: Free vibrations of a beam with elastic end restraints subject to a constant axial load
cites work: Free vibration analysis of elastically supported functionally graded annular plates subjected to thermal environment
cites work: Thermal vibration of a simply supported single-walled carbon nanotube with thermal stress
cites work: Effect of a temperature cycle on a rotating elastic-plastic shaft
cites work: The effect of oblique functional gradation to transient thermal stresses in the functionally graded infinite strip
cites work: Thermo-mechanical dynamics of perfect and imperfect Timoshenko microbeams
cites work: Vibration analysis of viscoelastic inhomogeneous nanobeams resting on a viscoelastic foundation based on nonlocal strain gradient theory incorporating surface and thermal effects
cites work: Free vibrations of a strain gradient beam by the method of initial values
DOI: 10.1007/S00707-017-2105-Z
description: scientific article; zbMATH DE number 6883410