Nonlocal fully intrinsic equations for free vibration of Euler-Bernoulli beams with constitutive boundary conditions

DOI10.1007/s00707-018-2164-9zbMath1396.74062OpenAlexW2799778753WikidataQ129895281 ScholiaQ129895281MaRDI QIDQ1790278

Mohammad Tashakorian, Dewey H. Hodges, S. Ahmad Fazelzadeh, Esmaeal Ghavanloo

Publication date: 2 October 2018

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

Full work available at URL: https://doi.org/10.1007/s00707-018-2164-9

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (3)

Well-posed nonlocal elasticity model for finite domains and its application to the mechanical behavior of nanorods ⋮ Elastic buckling and free vibration of nonlocal strain gradient Euler‐Bernoulli beams using Laplace transform ⋮ Analysis of tapered Timoshenko and Euler-Bernoulli beams on an elastic foundation with moving loads

Cites Work

• Analysis of nonlinear fully intrinsic equations of geometrically exact beams using generalized differential quadrature method
• A comparison of finite elements for nonlinear beams: the absolute nodal coordinate and geometrically exact formulations
• 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
• Discrete variational Lie group formulation of geometrically exact beam dynamics
• Nonlinear three-dimensional beam theory for flexible multibody dynamics
• On a theory of nonlocal elasticity of bi-Helmholtz type and some applications
• Large deflection analysis of geometrically exact spatial beams under conservative and nonconservative loads using intrinsic equations
• A mixed variational formulation based on exact intrinsic equations for dynamics of moving beams
• Energy-consistent, Galerkin approach for the nonlinear dynamics of beams using intrinsic equations
• Beam Buckling Analysis by Nonlocal Integral Elasticity Finite Element Method
• Nonlocal Continuum Field Theories
• Vibration of non-uniform rods and beams
• Differential quadrature solution for the free vibration analysis of laminated conical shells with variable stiffness

This page was built for publication: Nonlocal fully intrinsic equations for free vibration of Euler-Bernoulli beams with constitutive boundary conditions