Elastic buckling and free vibration of nonlocal strain gradient Euler‐Bernoulli beams using Laplace transform
From MaRDI portal
Publication:6192190
DOI10.1002/zamm.202100152OpenAlexW3202384271MaRDI QIDQ6192190
Publication date: 11 March 2024
Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/zamm.202100152
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Bifurcation and buckling (74G60)
Related Items (1)
Cites Work
- Unnamed Item
- A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation
- Flexoelectric effect on vibration responses of piezoelectric nanobeams embedded in viscoelastic medium based on nonlocal elasticity theory
- Variational formulation of a modified couple stress theory and its application to a simple shear problem
- Elastic materials with couple-stresses
- Experiments and theory in strain gradient elasticity.
- Comment on ``Free vibration analysis of nonlocal strain gradient beams made of functionally graded material
- On the analysis of microbeams
- Constitutive boundary conditions for nonlocal strain gradient elastic nano-beams
- Free vibrations of elastic beams by modified nonlocal strain gradient theory
- Free vibration analysis of nonlocal strain gradient beams made of functionally graded material
- Nonlinear bending and free vibration analyses of nonlocal strain gradient beams made of functionally graded material
- Size-dependent vibration analysis of nanobeams based on the nonlocal strain gradient theory
- Analytical solutions for the thermal vibration of strain gradient beams with elastic boundary conditions
- Nonlocal fully intrinsic equations for free vibration of Euler-Bernoulli beams with constitutive boundary conditions
- Element-free Galerkin model of nano-beams considering strain gradient elasticity
- Refined two-temperature multi-phase-lags theory for thermomechanical response of microbeams using the modified couple stress analysis
- The comparison of strain gradient effects for each component in static and dynamic analyses of FGM micro-beams
- Couple stress based strain gradient theory for elasticity
- Variationally consistent dynamics of nonlocal gradient elastic beams
- Comprehensive investigation of vibration of sigmoid and power law FG nanobeams based on surface elasticity and modified couple stress theories
- On dynamic instability of magnetically embedded viscoelastic porous FG nanobeam
- Variational nonlocal gradient elasticity for nano-beams
- Screw dislocation in a thin film-substrate in couple stress elasticity
- Size-dependent damping of a nanobeam using nonlocal thermoelasticity: extension of Zener, Lifshitz, and Roukes' damping model
- Wave propagation in strain gradient poroelastic medium with microinertia: closed-form and finite element solutions
- On the consistency of the nonlocal strain gradient elasticity
- Elasticity theory of materials with long range cohesive forces
- On first strain-gradient theories in linear elasticity
- On nonlocal elasticity
- Effects of couple-stresses in linear elasticity
- Derivation and verification of a lattice model for bending vibration of a plate
- Higher order couple stress theory of plates and shells
This page was built for publication: Elastic buckling and free vibration of nonlocal strain gradient Euler‐Bernoulli beams using Laplace transform
