Nonlinear vibration of variable speed rotating viscoelastic beams

DOI10.1007/s11071-009-9589-6zbMath1189.74049OpenAlexW2055311273MaRDI QIDQ979377

Ebrahim Esmailzadeh, Davood Younesian

Publication date: 28 June 2010

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-009-9589-6

zbMATH Keywords

Galerkin methodmultiple scales methodnonlinear vibrationrotating beamviscoelastic beamvariable speed

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Linear constitutive equations for materials with memory (74D05)

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Cites Work

• Stability analysis of a substructured model of the rotating beam
• Longitudinal and rotational coupled vibration of viscoelastic bars with tip mass
• Attractors of a rotating viscoelastic beam
• Nonlinear oscillations of viscoelastic rectangular plates
• Existence of periodic solutions for the generalized form of Mathieu equation
• Prediction of vibration and instability of rotating damped beams with an elastically restrained root
• Dynamic modelling and control of a rotating Euler–Bernoulli beam
• Flapwise bending vibration analysis of rotating multi-layered composite beams
• Linear and Nonlinear Structural Mechanics

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