Non-Linear Free Vibrations of Beams By the Finite Element and Continuation Methods

DOI10.1006/jsvi.1994.1088zbMath0925.73459OpenAlexW1999949789MaRDI QIDQ4237577

Roman Lewandowski

Publication date: 8 November 1999

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

Full work available at URL: https://doi.org/10.1006/jsvi.1994.1088

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05)

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Nonlinear harmonically excited vibrations of plates with Zener material ⋮ Branch switching at Hopf bifurcation analysis via asymptotic numerical method: application to nonlinear free vibrations of rotating beams ⋮ On beam, membrane, and plate vibration backbone curves in cases of internal resonance ⋮ Numerical computation of periodic responses of nonlinear large-scale systems by shooting method ⋮ A purely frequency based Floquet-Hill formulation for the efficient stability computation of periodic solutions of ordinary differential systems ⋮ Materially nonlinear free vibration analysis of reinforced concrete beam

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