Nonlinear Dynamics of Continuous Elastic Systems
By: by Jan Awrejcewicz, Vadim A. Krys'ko, Alexander F. Vakakis
Contributors: Krys'ko, Vadim A.; Vakakis, Alexander F.
Publisher: Springer Berlin Heidelberg
Published: 2004
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 341
ISBN-13: 9783642058103; 9783662089927
Subjects: Mathematics; Engineering; Mechanics, applied; Vibration
Description: 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.
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Table of contents: title: Vibration of Plates and Shells with Added Masses; title: Rational Design of Plates and Shells; title: Order Reduction of Continuous Systems by Proper Orthogonal Decomposition Analysis; title: Analytic Modelling of Discreteness Effects in Continuous Systems; title: Continuous Systems with Non-smooth Linearities.