Bifurcations in gyroscopic systems with an application to rotating shafts

DOI10.1098/rspa.1998.0174zbMath0913.70008OpenAlexW2058444720MaRDI QIDQ4223888

Wayne Nagata, N. Sri Namachchivaya

Publication date: 11 March 1999

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1998.0174

zbMATH Keywords

normal formsGalerkin approximationsymmetry-breaking perturbationsdissipative perturbationsresonance instability

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Local and nonlocal bifurcation theory for dynamical systems (37G99) Motion of the gyroscope (70E05)

Related Items (4)

Unfolding the conical zones of the dissipation-induced subcritical flutter for the rotationally symmetrical gyroscopic systems ⋮ Subcritical flutter in the acoustics of friction ⋮ Singularities on the boundary of the stability domain near 1:1-resonance ⋮ Dissipation-induced instabilities in finite dimensions

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