Exact Vibration Solutions for Nonuniform Timoshenko Beams with Attachments

DOI10.2514/3.48979zbMath0770.73044OpenAlexW1969632764MaRDI QIDQ5285489

Shueei-Muh Lin, Sen-Yung Lee

Publication date: 29 June 1993

Published in: AIAA Journal (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/d2983b81200b630ee3776802748ad6ab67757c10

zbMATH Keywords

frequency equationFrobenius methodfourth-order ordinary differential equationvariable coefficients

Mathematics Subject Classification ID

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

Related Items (7)

Exact solutions for free vibrations of axially inhomogeneous Timoshenko beams with variable cross section ⋮ Buckling and vibration of axially functionally graded nonuniform beams using differential transformation based dynamic stiffness approach ⋮ Natural Frequencies and Mode Shapes of Timoshenko Beams with Attachments ⋮ Analytical modeling of the coupled nonlinear free vibration response of a rotating blade in a gas turbine engine ⋮ An exact transfer matrix expression for bending vibration analysis of a rotating tapered beam ⋮ Application of variational iteration method to free vibration analysis of a tapered beam mounted on two-degree of freedom subsystems ⋮ Exact solutions for extensible circular curved Timoshenko beams with nonhomogeneous elastic boundary conditions

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