Combination Resonance of a Centrally Clamped Rotating Circular Disk

DOI10.1177/107754630100700703zbMath1028.74023OpenAlexW1978732123MaRDI QIDQ4786662

Piergiuseppe Manzione, Ali Hasan Nayfeh

Publication date: 8 January 2003

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/107754630100700703

zbMATH Keywords

symmetrymethod of multiple scalesmodulation equationstransverse vibrationsvariable transformationscombination parametric resonancespace-fixed linear spring

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Stability of dynamical problems in solid mechanics (74H55)

Related Items (2)

Forced Vibration Analysis of Spinning Disks Subjected to Transverse Loads ⋮ Nonlinear dynamics of a flexible spinning disc coupled to a precompressed spring

Cites Work

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• Subharmonic travelling waves in a geometrically nonlinear circular plate
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• A Fast Eigenfunction Approach for Computing Spinning Disk Deflections
• Non-linear resonances in the forced responses of plates, part 1: Symmetric responses of circular plates
• Non-linear resonances in the forced responses of plates, part II: Asymmetric responses of circular plates
• Stability and Vibration of a Rotating Circular Plate Subjected to Stationary In-Plane Edge Loads
• Parametric Resonance of a Spinning Disk Under Space-Fixed Pulsating Edge Loads
• A perturbation solution for the flexible rotating disk: non-linear equilibrium and stability under transverse loading
• Stability Analysis of a Spinning Elastic Disk Under a Stationary Concentrated Edge Load
• Analysis of Heterogeneous Anisotropic Plates
• A new approach to the large-deflection vibrations of imperfect circular disks using Galerkin's procedure

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