Stability and long-time behaviour of a rigid body containing a damper

DOI10.1007/s00707-023-03684-2arXiv2303.09356OpenAlexW4385971284MaRDI QIDQ6058573

Giusy Mazzone, Evan Arsenault

Publication date: 1 November 2023

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.09356

zbMATH Keywords

exponential stabilitydynamical systemcenter manifoldlinearization principlehyperbolic equilibriumpermanent rotationthin lubricant layer

Mathematics Subject Classification ID

Stability problems in rigid body dynamics (70E50) Dynamical systems methods for problems in mechanics (70G60)

Cites Work

• Inertial motions of a rigid body with a cavity filled with a viscous liquid
• Ordinary differential equations and dynamic systems.
• On the free rotations of rigid bodies with a liquid-filled gap
• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• A maximal regularity approach to the study of motion of a rigid body with a fluid-filled cavity
• Variations on Barbalat's lemma
• On the Motion of a Fluid-Filled Rigid Body with Navier Boundary Conditions
• Evolution of Motions of a Rigid Body About its Center of Mass
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