Primary resonances of a nonlinear in-extensional rotating shaft

DOI10.1016/J.MECHMACHTHEORY.2010.03.012zbMath1377.70043OpenAlexW2009448750MaRDI QIDQ985934

S. A. A. Hosseini, Siamak Esmaeilzadeh Khadem, Majid Shahgholi

Publication date: 9 August 2010

Published in: Mechanism and Machine Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mechmachtheory.2010.03.012

zbMATH Keywords

resonancesmultiple scales methodnonlinear vibrationsaddle node bifurcationnonlinear curvature and inertiain-extensional rotating shaft

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Vibrations in dynamical problems in solid mechanics (74H45)

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Cites Work

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• Free vibrations analysis of a rotating shaft with nonlinearities in curvature and inertia
• The invariant manifold approach applied to nonlinear dynamics of a rotor-bearing system
• Random vibrations of a damped rotating shaft
• Non-linear Dynamics And Instability Of A Rotating Shaft-disk System
• Linear and Nonlinear Structural Mechanics
• DIRECT TREATMENT AND DISCRETIZATIONS OF NON-LINEAR SPATIALLY CONTINUOUS SYSTEMS

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