Asymptotic expansions in nonlinear rotordynamics

DOI10.1090/QAM/99613zbMath0607.70007OpenAlexW403112863MaRDI QIDQ3746940

William B. Day

Publication date: 1987

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/99613

zbMATH Keywords

vibrationsnonlinearitiesrotordynamicssingular asymptotic expansionsNumerical solutionsrubbingside forcecross-stiffnessDeadbandJeffcott equationsnonlinear Jeffcott equationsnonlinear natural frequency

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Free motion of a rigid body (70E15) Linear vibration theory (70J99)

Related Items (7)

Mode-locking in nonlinear rotordynamics ⋮ Analysis of Nonlinear Phenomena in High Speed Ball Bearings due to Radial Clearance and Unbalanced Rotor Effects ⋮ Period-1 Motion to Chaos in a Nonlinear Flexible Rotor System ⋮ Nonlinear dynamic analysis of an unbalanced rotor supported by roller bearing ⋮ Bifurcation Trees of Period-1 Motions to Chaos in a Two-Degree-of-Freedom, Nonlinear Oscillator ⋮ Determination of the global response characteristics of a piecewise smooth dynamical system with contact ⋮ Periodic Motions and Bifurcation Trees in a Buckled, Nonlinear Jeffcott Rotor System

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