Nonlinear Vibrations and Stability of Shells and Plates
Nonlinear Vibrations and Stability of Shells and Plates
$79.99
USDThis unique book explores both theoretical and experimental aspects of nonlinear vibrations and stability of shells and plates. It is ideal for researchers, professionals, students, and instructors. Expert researchers will find the most recent progresses in nonlinear vibrations and stability of shells and plates, including advanced problems of shells with fluid-structure interaction. Professionals will find many practical concepts, diagrams, and numerical results, useful for the design of shells and plates made of traditional and advanced materials. They will be able to understand complex phenomena such as dynamic instability, bifurcations, and chaos, without needing an extensive mathematical background. Graduate students will find (i) a complete text on nonlinear mechanics of shells and plates, collecting almost all the available theories in a simple form, (ii) an introduction to nonlinear dynamics, and (iii) the state of art on the nonlinear vibrations and stability of shells and plates, including fluid-structure interaction problems.
- Covers both theory and experiment
- Includes the most recent advances in theory and practice
- Covers new types of materials
- Includes design examples
Reviews & endorsements
"For anyone working with plates and shells, perusal of the book for even an hour or so guarantees that he / she will want to have it permanently on his / her bookshelf. This, indeed, is an excellent book!"
Michael P.Paı¨doussis
Journal of Fluids and Structures
"...this book is a very valuable contribution to nonlinear mechanics and I warmly recommend it to graduate students and university professors as well as to researchers and problems of shells and plates. I expect that this book will serve as an inspiration for future studies of nonlinear static and dynamic phenomena related to plates and shells." Mathematical Reviews
Product details
August 2014Paperback
9781107435421
392 pages
251 × 178 × 25 mm
0.68kg
Available
Table of Contents
- 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.
