Nonlinear normal modes and forced vibrations of simply supported cylindrical shells
Abstract
Free nonlinear oscillations of the cylindrical shell, which are described by Donnell-Mushtari-Vlasov equations, are studied. The shell oscillations are represented by the sum of two conjugate modes and an axisymmetric mode. Amplitudes of the axisymmetric mode are assumed to be significantly smaller than the conjugate modes amplitudes. Nonlinear normal vibration mode, which is determined by imperfections, is analyzed in detail. Multiple scales method is used to study bifurcations of this mode. Nonlinear normal vibration modes of cylindrical shell in a supersonic flow are considered.
Fields of Study & Subjects
Vibration and Dynamic Analysis
Aeroelasticity and Vibration Control
Composite Structure Analysis and Optimization
Publication details
- Journal / source
- CRC Press eBooks
- Pages
- 387–392
- Publication date
- 4 February 2026
- Language
- EN
- Document type
- Book chapter