Nonlinear Vibrations and Stability of Shells and Plates

Introduction. 1. Nonlinear theories of elasticity of plates and shells; 2. Nonlinear theories of doubly curved shells for conventional and advanced materials; 3. Introduction to nonlinear dynamics; 4. Vibrations of rectangular plates; 5. Vibrations of empty and fluid-filled circular cylindrical; 6. Reduced order models: proper orthogonal decomposition and nonlinear normal modes; 7. Comparison of different shell theories for nonlinear vibrations and stability of circular cylindrical shells; 8. Effect of boundary conditions on a large-amplitude vibrations of circular cylindrical shells; 9. Vibrations of circular cylindrical panels with different boundary conditions; 10. Nonlinear vibrations and stability of doubly-curved shallow-shells: isotropic and laminated materials; 11. Meshless discretization of plates and shells of complex shapes by using the R-functions; 12. Vibrations of circular plates and rotating disks; 13. Nonlinear stability of circular cylindrical shells under static and dynamic axial loads; 14. Nonlinear stability and vibrations of circular shells conveying flow; 15. Nonlinear supersonic flutter of circular cylindrical shells with imperfections.