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  • Cited by 440
Publisher:
Cambridge University Press
Online publication date:
January 2010
Print publication year:
2008
Online ISBN:
9780511619694

Book description

This 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.

Reviews

'… this monograph by Marco Amabili is not just an up-date; it is much more … Throughout, plentiful and clear illustrations help the reader and enliven the text, as do comparisons with experiment. This book is a gem: for theoreticians because it injects interesting applications which have animated recent work in this area; for engineers and designers because it provides a thorough yet accessible treatment of the mathematical/physical aspects; for students because it treats the subject in a manner that can be studied easily, say in a course or be self-taught. … 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!'

Source: Journal of Fluids and Structures

'This is an excellent and practical book containing current and advanced knowledge on nonlinear vibrations and stability of plates and shells … 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 industrial engineers interested in nonlinear vibrations and stability 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.'

Source: Mathematical Reviews

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