The motion of a body with elastic elements around a fixed point in action-angle variables

✍ Scribed by L.I. Konkina

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 255 KB
• Volume: 64
• Category: Article
• ISSN: 0021-8928
• DOI: 10.1016/s0021-8928(00)00027-7

✦ Synopsis

The motion of a mechanical system formed by a rigid body rotating around a fixed point and carrying elastic rods, which undergo flexural deformation, i,; investigated. The asymptotic method of constructing approximate equations describing the evolution of the system motion in canonical action-angle variables is employed. The method of separating the motions and using the averaging operator enables the qualitative features of the behaviour of the system to be investigated, since, as a rule, the equations of motion of such systems cannot be integrated in explicit form.