A qualitative analysis of the subharmonic oscillations of a parametrically excited flexible rod

✍ Scribed by K.V. Avramov

• Publisher: Elsevier Science
• Year: 2006
• Tongue: English
• Weight: 233 KB
• Volume: 70
• Category: Article
• ISSN: 0021-8928
• DOI: 10.1016/j.jappmathmech.2006.06.013

✦ Synopsis

A non-autonomous non-linear dynamical system with a small parameter that describes the parametric oscillations of a flexible rod with three static equilibrium positions is obtained. The generating equation of this model is a dynamical system in a plane with a separatrix loop. The qualitative analysis presented includes an investigation of the stability and bifurcation of subharmonic motions at resonance energy levels.