Chaotic Oscillations of a Kinematically Excited Flat Shell During Geometrically Non-linear Deformation

• Date: 2019
• Main Authors: Avramov, Konstantin V., Cheshko, Kseniya F., Polishchuk, Oleg F.
• Format: Article
• Language: English; Russian
• Published: Інститут енергетичних машин і систем ім. А. М. Підгорного Національної академії наук України 2019
• Subjects: non-linear periodic oscillations of a flat shell; stability of oscillations; almost periodic oscillations; chaotic oscillations; UDC 539.3
• Online Access: https://journals.uran.ua/jme/article/view/179045
• Journal Title: Journal of Mechanical Engineering

We study the forced oscillations of a cantilevered flat shell of constant curvature. These movements are excited by a kinematic periodic embedding motion. To describe geometrically non-linear deformation, the non-linear theory of Donel shells is used. To build a non-linear dynamic system with a fini...