New rational interpolation functions for finite element analysis of rotating beams

DOI10.1016/j.ijmecsci.2007.07.014zbMath1264.74262OpenAlexW2086268524MaRDI QIDQ1953910

Jagadish Babu Gunda, Ranjan Ganguly

Publication date: 12 June 2013

Published in: International Journal of Mechanical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijmecsci.2007.07.014

zbMATH Keywords

interpolationfinite element methodfree vibrationrotating beams

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

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Dynamic basic displacement functions in free vibration analysis of centrifugally stiffened tapered beams; a mechanical solution ⋮ Closed-form solutions of non-uniform axially loaded beams using Lie symmetry analysis ⋮ Dynamic analogy between Timoshenko and Euler-Bernoulli beams ⋮ A modified transfer matrix method to reduce the calculation time: a case study on beam vibration ⋮ Transverse free vibration of non-uniform rotating Timoshenko beams with elastically clamped boundary conditions ⋮ Rotating beams and non-rotating beams with shared eigenpair for pinned-free boundary condition ⋮ Stiff string approximations in Rayleigh-Ritz method for rotating beams ⋮ Analysis of weak solution of Euler-Bernoulli beam with axial force ⋮ Basic displacement functions in analysis of nonprismatic beams ⋮ Effect of balance weight on dynamic characteristics of a rotating wind turbine blade ⋮ An exact transfer matrix expression for bending vibration analysis of a rotating tapered beam ⋮ Basic displacement functions for centrifugally stiffened tapered beams

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