Nonlinear Vibrations and Stability of Shells and Plates Book

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.