Size-dependent nonlinear vibration of functionally graded composite micro-beams reinforced by carbon nanotubes with piezoelectric layers in thermal environments

DOI10.1007/S00707-022-03224-4zbMath1494.74024OpenAlexW4280528459MaRDI QIDQ2156205

Dang Van Hieu, Bui Gia Phi, Hamid Mohammad-Sedighi, Abdullah H. Sofiyev

Publication date: 18 July 2022

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-022-03224-4

zbMATH Keywords

Euler-Bernoulli beamHamilton principleenergy balance methodequivalent linearization methodnonlocal strain gradient theory

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Micromechanics of solids (74M25) Composite and mixture properties (74E30) Thermal effects in solid mechanics (74F05) Electromagnetic effects in solid mechanics (74F15)

Related Items (6)

On a 3D material modelling of smart nanocomposite structures ⋮ Nonlinear dynamical performance of microsize piezoelectric bridge-type energy harvesters based upon strain gradient-based meshless collocation approach ⋮ Vibrations of porous functionally graded CNT reinforced viscoelastic beams connected via a viscoelastic layer ⋮ Modified continuum theoretical model for size-dependent piezoelectric properties of nanowires ⋮ Nonlinear dynamic analysis of the perovskite solar cell under blast impacts based on the modified strain gradient theory ⋮ Reddy's third-order shear deformation shell theory for free vibration analysis of rotating stiffened advanced nanocomposite toroidal shell segments in thermal environments

Cites Work

• A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation
• Applying nonlocal strain gradient theory to size-dependent analysis of functionally graded carbon nanotube-reinforced composite nanoplates
• Nonlinear vibration of piezoelectric laminated nanobeams at higher modes based on nonlocal piezoelectric theory
• On the role of gradients in the localization of deformation and fracture
• Experiments and theory in strain gradient elasticity.
• A size-dependent shear deformation beam model based on the strain gradient elasticity theory
• On the analysis of microbeams
• Nonlinear free vibration of a functionally graded nanobeam using nonlocal strain gradient theory and a novel Hamiltonian approach
• Size-dependent vibration analysis of nanobeams based on the nonlocal strain gradient theory
• Vibration of carbon nanotube reinforced composite beams based on the first and third order beam theories
• Size-dependent analysis of FG-CNTRC microplates based on modified strain gradient elasticity theory
• Couple stress based strain gradient theory for elasticity
• Preliminary report on the energy balance for nonlinear oscillations.
• Deep autoencoder based energy method for the bending, vibration, and buckling analysis of Kirchhoff plates with transfer learning
• Thermally induced nonlinear dynamic analysis of temperature-dependent functionally graded flexoelectric nanobeams based on nonlocal simplified strain gradient elasticity theory
• A size-dependent moving Kriging meshfree model for deformation and free vibration analysis of functionally graded carbon nanotube-reinforced composite nanoplates
• Vibrational behavior of thermally pre-/post-buckled FG-CNTRC beams on a nonlinear elastic foundation: a two-step perturbation technique
• Modeling and analysis of bi-directional functionally graded nanobeams based on nonlocal strain gradient theory
• An energy approach to the solution of partial differential equations in computational mechanics via machine learning: concepts, implementation and applications
• A new approximate solution for a generalized nonlinear oscillator
• Effect of hyperbolic heat conduction on the linear and nonlinear vibration of CNT reinforced size-dependent functionally graded microbeams
• A microstructure-dependent sinusoidal plate model based on the strain gradient elasticity theory
• On nonlocal elasticity
• Divergence and flutter instability of magneto-thermo-elastic C-BN hetero-nanotubes conveying fluid

This page was built for publication: Size-dependent nonlinear vibration of functionally graded composite micro-beams reinforced by carbon nanotubes with piezoelectric layers in thermal environments