The free vibration of a type of tapered beams

DOI10.1016/S0045-7825(99)00148-6zbMath0979.74029OpenAlexW2089075329MaRDI QIDQ1579590

N. Delaunay

Publication date: 21 February 2002

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(99)00148-6

zbMATH Keywords

Taylor seriesRayleigh-Ritz methodtapered beamsBernoulli-Euler theoryeigenfrequency equationvarying rectangular cross-section

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items (9)

Stochastic forced vibration analysis of a tapered beam with performance deterioration ⋮ Free vibration of the double tapered cracked beam ⋮ Free flexural vibrations of homogeneous beams with symmetrically variable depths ⋮ Linear and nonlinear vibrations of variable cross‐section beams using shear deformation theory ⋮ Free vibration analysis of a type of tapered beams by using Adomian decomposition method ⋮ A review and study on Ritz method admissible functions with emphasis on buckling and free vibration of isotropic and anisotropic beams and plates ⋮ Analytical modeling of the coupled nonlinear free vibration response of a rotating blade in a gas turbine engine ⋮ Flexural free vibrations of multistep nonuniform beams ⋮ An exact transfer matrix expression for bending vibration analysis of a rotating tapered beam

Cites Work

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• Transverse vibrations of linearly tapered beams with ends restrained elastically against rotation subjected to axial force
• On the analysis of laterally vibrating slender beams subject to various complicating effects
• Exact Bernoulli-Euler dynamic stiffness matrix for a range of tapered beams
• Transverse vibrations of tapered beams
• Reference frequencies for the validation of numerical solutions of transverse vibrations of non-uniform beams
• A Direct Solution for the Transverse Vibration of Euler-Bernoulli Wedge and Cone Beams
• Vibration in the Two Principal Planes of a Non-Uniform Beam of Rectangular Cross-Section, One Side of Which Varies as the Square Root of the Axial Co-ordinate
• Generalized Hypergeometric Function Solutions on the Transverse Vibration of a Class of Nonuniform Beams

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