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Nonlinear Dynamics of Continuous Elastic Systems - J. Awrejcewicz

Nonlinear Dynamics of Continuous Elastic Systems

Hardcover

Published: 23rd March 2004
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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.

From the reviews:

"The authors put together a unique monograph on an interesting array of elastodyamic subjects. ... The work is presented in the manner of a series of seminars. Thus it is very appealing to the professional who wishes to focus on the physics and macroscopic mathematics of the subject. An excellent list of references is provided for the interested reader to pursue the mathematical depth of the topic presented. ... it is an excellent reference ... in the field of elasto-dynamics to have on the shelf." (J. Genin, Zentralblatt MATH, Vol. 1064, 2005)

Vibration of Plates and Shells withnbsp;Added Masses
Rational Design of Plates and Shells
Order Reduction of Continuous Systems by Proper Orthogonal Decomposition Analysis
Analytic Modelling of Discreteness Effects in Continuous Systems
Continuous Systems with Non-smooth Linearities
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783540205159
ISBN-10: 3540205152
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 342
Published: 23rd March 2004
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.5 x 15.5  x 2.54
Weight (kg): 1.5