Dynamic stiffness of nonlocal damped nano-beams on elastic foundation

DOI10.1016/j.euromechsol.2020.104144zbMath1478.74031OpenAlexW3093205766MaRDI QIDQ2229628

Danilo Karličić, Sondipon Adhikari, XiaoTing Liu

Publication date: 18 February 2021

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://cronfa.swan.ac.uk/Record/cronfa55483

zbMATH Keywords

asymptotic analysisfrequency responsenonlocal modelbending vibrationdynamic finite element method

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) Finite element methods applied to problems in solid mechanics (74S05) Micromechanics of solids (74M25)

Related Items (4)

On the vibration dynamics of heterogeneous panels under arbitrary boundary conditions ⋮ Dynamics of imperfect inhomogeneous nanoplate with exponentially-varying properties resting on viscoelastic foundation ⋮ A computational framework for nanotrusses: input convex neural networks approach ⋮ On the calibration of size parameters related to non-classical continuum theories using molecular dynamics simulations

Cites Work

• Unnamed Item
• Unnamed Item
• Dynamic finite element analysis of axially vibrating nonlocal rods
• Nonlocal theories for bending, buckling and vibration of beams
• A unified integro-differential nonlocal model
• A review on the mechanics of nanostructures
• Bending of Euler-Bernoulli beams using Eringen's integral formulation: a paradox resolved
• Nonlocal elasticity in nanobeams: the stress-driven integral model
• On boundary conditions for buckling and vibration of nonlocal beams
• Non-local finite element analysis of damped beams
• A review on nonlocal elastic models for bending, buckling, vibrations, and wave propagation of nanoscale beams
• Linear theory of nonlocal elasticity and dispersion of plane waves
• On nonconservativeness of Eringen's nonlocal elasticity in beam mechanics: correction from a discrete-based approach
• Coupled bending-torsional dynamic stiffness matrix for beam elements
• Dynamic stiffness formulation for structural elements: A general approach
• A GENERAL ALGORITHM FOR COMPUTING NATURAL FREQUENCIES OF ELASTIC STRUCTURES

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