Nonlinear stability and vibration of imperfect CNTs by doublet mechanics

DOI10.1016/J.AMC.2020.125311OpenAlexW3027820889MaRDI QIDQ2185425

Mohamed A. Eltaher, Nazira Mohamed

Publication date: 4 June 2020

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2020.125311

zbMATH Keywords

analytical solutionsnatural frequenciesstatic stabilitydoublet mechanics modelingmacro/micro-strainperfect and imperfect CNTs

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Statistical mechanics of nanostructures and nanoparticles (82D80) PDEs in connection with statistical mechanics (35Q82)

Related Items (4)

Mechanical analysis of a tunable capacitive ultrasound transducer using higher order gradient theory ⋮ An Analytical Approach for Buckling of FG Cylindrical Nanopanels Resting on Pasternak’s Foundations in the Thermal Environment ⋮ Dynamics of perforated nanobeams subject to moving mass using the nonlocal strain gradient theory ⋮ Structural behaviours of zigzag and armchair nanobeams using finite element doublet mechanics

Cites Work

• Coupling effects of nonlocal and surface energy on vibration analysis of nanobeams
• Torsional vibration of single-walled carbon nanotubes using doublet mechanics
• Mechanical analysis of higher order gradient nanobeams
• Static and buckling analysis of functionally graded Timoshenko nanobeams
• A finite element formulation for the doublet mechanics modeling of microstructural materials
• Elastic materials with couple-stresses
• A continuum theory of elastic material surfaces
• A structural mechanics approach for the analysis of carbon nanotubes
• Vibration and buckling analysis of nanotubes (nanofibers) embedded in an elastic medium using doublet mechanics
• Couple stress based strain gradient theory for elasticity
• Periodic and nonperiodic modes of postbuckling and nonlinear vibration of beams attached to nonlinear foundations
• An analytical molecular structural mechanics model for the mechanical properties of carbon nanotubes
• Nonlocal polar elastic continua
• Advances in Doublet Mechanics
• The Art of Molecular Dynamics Simulation

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