Nonlinear Dynamics of Continuous Elastic Systems

✍ Scribed by Prof. Dr. Jan Awrejcewicz, Prof. Vadim A. Krys’ko, Prof. Alexander F. Vakakis (auth.)

Publisher: Springer-Verlag Berlin Heidelberg
Year: 2004
Tongue: English
Leaves: 350
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

This monograph is devoted to recent advances in nonlinear dynamics of continuous elastic systems. A major part of the book is dedicated to the analysis of non-homogeneous continua, e.g. plates and shells characterized by sudden changes in their thickness, possessing holes in their bodies or/and edges, made from different materials with diverse dynamical characteristics and complicated boundary conditions. New theoretical and numerical approaches for analyzing the dynamics of such continua are presented, such as the method of added masses and the method of proper orthogonal decomposition. The presented hybrid approach leads to results that cannot be obtained by other standard theories in the field. The demonstrated methods are illustrated by numerous examples of application.

✦ Table of Contents

Front Matter....Pages I-XI
Vibration of Plates and Shells with Added Masses....Pages 1-91
Rational Design of Plates and Shells....Pages 93-176
Order Reduction by Proper Orthogonal Decomposition (POD) Analysis....Pages 177-238
Analytic Modelling of Discreteness Effects in Continuous Systems....Pages 239-268
Continuous Systems with Non-smooth Nonlinearities....Pages 269-314
Back Matter....Pages 315-341

✦ Subjects

Theoretical and Applied Mechanics;Applications of Mathematics;Statistical Physics, Dynamical Systems and Complexity;Computational Intelligence;Vibration, Dynamical Systems, Control

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