The dynamics of the weakly perturbed motion of a liquid-filled gyroscope and the control problem

✍ Scribed by A.A. Gurchenkov; V.V. Korneyev; M.V. Nosov

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 294 KB
• Volume: 72
• Category: Article
• ISSN: 0021-8928
• DOI: 10.1016/j.jappmathmech.2009.01.012

✦ Synopsis

The Cauchy problem for the motion of a dynamically symmetrical rigid body with a cavity, filled with an ideal liquid, which is perturbed from uniform rotation, is considered in a linear formulation. The problem of the simultanious solution of the equations of hydrodynamics and the mechanics of a rigid body is reduced to the solution of an eigenvalue problem which depends solely on the geometry of the cavity and the subsequent integration of a system of differential equations.