A new eigenvalue problem solver for thermo‐mechanical vibration of Timoshenko nanobeams by an innovative nonlocal finite element method
DOI10.1002/mma.7942OpenAlexW3213329192MaRDI QIDQ6180370
Hayri Metin Numanoğlu, Bekir Akgöz, Hakan Ersoy, Ömer Civalek
Publication date: 19 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.7942
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Thermal effects in solid mechanics (74F05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
Related Items (3)
Cites Work
- Unnamed Item
- Vibration of nonlinear graduation of nano-Timoshenko beam considering the neutral axis position
- Transient analysis of single-layered graphene sheet using the KP-Ritz method and nonlocal elasticity theory
- A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation
- Dynamic finite element analysis of axially vibrating nonlocal rods
- Free vibration analysis of functionally graded size-dependent nanobeams
- Mechanical analysis of higher order gradient nanobeams
- Static and buckling analysis of functionally graded Timoshenko nanobeams
- Nonlocal theories for bending, buckling and vibration of beams
- Static and dynamic analysis of micro beams based on strain gradient elasticity theory
- Torsion of strain gradient bars
- MATLAB codes for finite element analysis. Solids and structures
- A continuum theory of elastic material surfaces
- A phenomenological theory for strain gradient effects in plasticity
- Experiments and theory in strain gradient elasticity.
- Vibration of nonlocal Kelvin-Voigt viscoelastic damped Timoshenko beams
- On the analysis of microbeams
- Size-dependent vibration analysis of nanobeams based on the nonlocal strain gradient theory
- Buckling and vibration analysis nanoplates with imperfections
- Mathematical modeling of vibration problem of nano-sized annular sector plates using the nonlocal continuum theory via eight-node discrete singular convolution transformation
- Thermal buckling strength of smart nanotube-reinforced doubly curved hybrid composite panels
- A micro scale Timoshenko beam model based on strain gradient elasticity theory
- On the dynamics of small-sized structures
- Computational vibration and buckling analysis of microtubule bundles based on nonlocal strain gradient theory
- Axial vibration of non-uniform and non-homogeneous nanorods based on nonlocal elasticity theory
- Differential quadrature based nonlocal flapwise bending vibration analysis of rotating nanotube with consideration of transverse shear deformation and rotary inertia
- A microstructure-dependent sinusoidal plate model based on the strain gradient elasticity theory
- Nonlocal polar elastic continua
- On nonlocal elasticity
- Effects of couple-stresses in linear elasticity
- Using the modified strain gradient theory to investigate the size-dependent biaxial buckling analysis of an orthotropic multi-microplate system
- Divergence and flutter instability of magneto-thermo-elastic C-BN hetero-nanotubes conveying fluid
- An improved two-node timoshenko beam finite element
- Dynamic analysis of rotating double‐tapered cantilever Timoshenko nano‐beam using the nonlocal strain gradient theory
- A New Size-Dependent Cylindrical Shell Element Based on Modified Couple Stress Theory
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