A new approach to the large-deflection vibrations of imperfect circular disks using Galerkin's procedure

DOI10.1016/0022-460X(71)90485-8zbMath0227.73116MaRDI QIDQ5635025

G. J. Efstathiades

Publication date: 1971

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

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (9)

Multi-pulse orbits and chaotic dynamics in an imperfect circular plate ⋮ Combination Resonance of a Centrally Clamped Rotating Circular Disk ⋮ Instability Mechanisms of a Centrally Clamped Rotating Circular Disk Under a Space-Fixed Spring-Mass-Dashpot System ⋮ Global bifurcations and chaos in a harmonically excited and undamped circular plate ⋮ Nonlinear vibrations of free-edge thin spherical shells: experiments on a \(1:1:2\) internal resonance ⋮ Orbits homoclinic to resonances in a harmonically excited and undamped circular plate ⋮ Nonlinear dynamics of a flexible spinning disc coupled to a precompressed spring ⋮ Effect of imperfections and damping on the type of nonlinearity of circular plates and shallow spherical shells ⋮ Local bifurcations in the motion of spinning discs.

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