Three-dimensional asymptotic nonlocal elasticity theory for the free vibration analysis of embedded single-walled carbon nanotubes

DOI10.1016/j.camwa.2020.03.006zbMath1445.74027OpenAlexW3013793662MaRDI QIDQ2192546

Chih-Ping Wu, Yen-Jung Chen, Yung-Ming Wang

Publication date: 17 August 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.03.006

zbMATH Keywords

multiple time scale methodPasternak modelEringen nonlocal constitutive relation

Mathematics Subject Classification ID

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) Elastic materials (74B99)

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Cites Work

• Nonlocal theories for bending, buckling and vibration of beams
• A review on the application of modified continuum models in modeling and simulation of nanostructures
• A nonlocal sinusoidal shear deformation beam theory with application to bending, buckling, and vibration of nanobeams
• Recent researches on nonlocal elasticity theory in the vibration of carbon nanotubes using beam models: a review
• A review on nonlocal elastic models for bending, buckling, vibrations, and wave propagation of nanoscale beams
• Free vibration analysis of embedded single-layered nanoplates and graphene sheets by using the multiple time scale method
• On nonlocal elasticity
• Nonlocal Continuum Field Theories
• Applicability and Limitations of Simplified Elastic Shell Equations for Carbon Nanotubes
• Application of generalized differential quadrature method to structural problems
• Differential quadrature solution for the free vibration analysis of laminated conical shells with variable stiffness

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