Bending Vibrations of a Class of Rotating Beams with Hypergeometric Solutions

DOI10.1115/1.3173013zbMath0613.73058OpenAlexW2056102223MaRDI QIDQ4720873

Yousry Saleh Aboelnaga, Duane Storti

Publication date: 1987

Published in: Journal of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1115/1.3173013

zbMATH Keywords

hypergeometric functionsmode shapesanalytic solutionturbomachinerytransverse deflectionsbending vibration of bladesfunction of setting angle and rotation ratenatural bending frequenciesrotating hubstraight tapered symmetric beam

Mathematics Subject Classification ID

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

Related Items (9)

Exact solutions for free vibrations of axially inhomogeneous Timoshenko beams with variable cross section ⋮ Closed-form solutions of non-uniform axially loaded beams using Lie symmetry analysis ⋮ Rotating beams and non-rotating beams with shared eigenpair for pinned-free boundary condition ⋮ Dynamic modal characteristics of transverse vibrations of cantilevers of parabolic thickness ⋮ Factorization of self-adjoint ordinary differential equations ⋮ Analysis of weak solution of Euler-Bernoulli beam with axial force ⋮ Analysis of general elastically end restrained non-uniform beams using differential transform ⋮ Transverse vibrations of arbitrary non-uniform beams ⋮ Flapwise bending vibration analysis of a rotating double-tapered Timoshenko beam

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