Stability and motion stabilization of nonconservative mechanical systems.

DOI10.1023/A:1020570204883zbMath1037.70007OpenAlexW122578244MaRDI QIDQ1852482

S. A. Agafonov

Publication date: 2002

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1020570204883

zbMATH Keywords

attraction domainunbalanced rotorgyroscopic forcesdissipative forcesLyapunov's functionauto-excited vibrationsgimbal suspension gyroscopenonconservative positional forcesparametric excitation.rotor on flexible shaftZiegler's pendulum

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Stability problems in rigid body dynamics (70E50)

Related Items (10)

Asymptotical stability of the motion of mechanical systems with partial energy dissipation ⋮ A stability criterion for circulatory systems ⋮ Stability analysis of gyroscopic systems with integral correction ⋮ The stability and stabilization of the motion of non-conservative mechanical systems ⋮ Pervasive damping in mechanical systems and the role of gyroscopic forces ⋮ On the stability of potential systems under the action of non-conservative positional forces ⋮ The effect of dissipative and gyroscopic forces on the stability of a class of linear time-varying systems ⋮ On destabilizing effects of two fundamental non-conservative forces ⋮ On the stability and instability criteria for circulatory systems: A review ⋮ A note on the complete instability of linear non-conservative undamped systems

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