Nonlinear Vibrations and Stability of Shells and Plates

By: Marco Amabili

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Hardcover | 14 January 2008

At a Glance

Hardcover
392 Pages

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25.4 x 17.78 x 2.24

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In this impressively thorough work, Amabili (U. of Parma, Italy) utilizes nonlinear shell and plate theory to analyze shell stability in the presence of vibration, beginning the volume with an overview of the nonlinear theory of rectangular and circular plates and circular cylindrical and spherical shells. Nonclassical nonlinear theories are described in the second chapter, with attention to shear deformation and rotary inertia, and an overview of thermal stresses. Building on these foundations, Amabili turns to detailed discussion of nonlinear dynamics, stability, bifurcation analysis, and computational tools, with particular emphasis on the Galerkin method and Lagrange equations of motion and their applications to a variety of applications concerning discretizing plates and shells. Discussion of numerical techniques and various classical nonlinear shell theories follow, as these are applied for large amplitude vibrations of various shells and panels. Other chapters discuss stability under static and periodic loads, the methods for modeling aerodynamic loads, and problems arising from fluid-structure interaction, among other topics.

Industry 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!' 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.' Mathematical Reviews

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You Can Find This Book In

Non-Fiction Engineering & Technology Civil Engineering Science Physics Classical Mathematics Mechanical Engineering & Materials Materials Science Mechanics of Solids

Introduction
Nonlinear theories of elasticity of plates and shells
Nonlinear theories of doubly curved shells for conventional and advanced materials
Introduction to nonlinear dynamics
Vibrations of rectangular plates
Vibrations of empty and fluid-filled circular cylindrical
Reduced order models: proper orthogonal decomposition and nonlinear normal modes
Comparison of different shell theories for nonlinear vibrations and stability of circular cylindrical shells
Effect of boundary conditions on a large-amplitude vibrations of circular cylindrical shells
Vibrations of circular cylindrical panels with different boundary conditions
Nonlinear vibrations and stability of doubly-curved shallow-shells: isotropic and laminated materials
Meshless discretization of plates and shells of complex shapes by using the R-functions
Vibrations of circular plates and rotating disks
Nonlinear stability of circular cylindrical shells under static and dynamic axial loads
Nonlinear stability and vibrations of circular shells conveying flow
Nonlinear supersonic flutter of circular cylindrical shells with imperfections
Table of Contents provided by Publisher. All Rights Reserved.

Nonlinear Vibrations and Stability of Shells and Plates

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Hardcover

Industry Reviews

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