Chebyshev collocation method for the free vibration analysis of geometrically exact beams with fully intrinsic formulation

DOI10.1016/j.euromechsol.2017.07.014zbMath1406.74304OpenAlexW2744415468MaRDI QIDQ1658868

Pedram Khaneh Masjedi, Alireza Maheri

Publication date: 15 August 2018

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

Full work available at URL: http://hdl.handle.net/2164/10858

zbMATH Keywords

composite beamChebyshev collocation methodintrinsic formulationfree vibrationgeometrically exact beamcomposite rotor bladepretwisted beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Spectral and related methods applied to problems in solid mechanics (74S25)

Related Items (8)

Analytical solution for the fully coupled static response of variable stiffness composite beams ⋮ Nonlinear dynamic analysis of thermally deformed beams subjected to uniform loading resting on nonlinear viscoelastic foundation ⋮ An efficient computational method for curved interconnects deformation ⋮ Static analysis of composite beams on variable stiffness elastic foundations by the homotopy analysis method ⋮ Large deflection of functionally graded porous beams based on a geometrically exact theory with a fully intrinsic formulation ⋮ Closed form solutions for an anisotropic composite beam on a two-parameter elastic foundation ⋮ Static deflection of fully coupled composite Timoshenko beams: an exact analytical solution ⋮ On conservation of energy and kinematic compatibility in dynamics of nonlinear velocity-based three-dimensional beams

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