Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Physics (LNP, volume 730)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
Keywords
About this book
For most cases of interest, exact solutions to nonlinear equations describing stochastic dynamical systems are not available. The aim of this book is to give a systematic introduction to and overview of the relatively simple and popular linearization methods available. The scope is limited to models with continuous external and parametric excitations, yet these cover the majority of known approaches. The book contains an application chapter with emphasis on vibration analysis of stochastic mechanical structures as well as a chapter devoted to the assessment of the accuracy of the theoretical methods presented, both with respect to numerical and to experimental studies. The material derives partly from graduate course notes developed by the author for courses and seminars over the past 20 years.
Reviews
From the reviews:
"This book deals with numerous linearization techniques for stochastic dynamic systems. … As a textbook, it can serve for both advanced undergraduate and graduate courses. … At the end of each chapter one finds bibliographic references. … The author provides a very valuable toolbox on the basic idea of statistical linearization methods." (Henri Schurz, Mathematical Reviews, Issue 2008 m)
Authors and Affiliations
Bibliographic Information
Book Title: Linearization Methods for Stochastic Dynamic Systems
Authors: Leslaw Socha
Series Title: Lecture Notes in Physics
DOI: https://doi.org/10.1007/978-3-540-72997-6
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2008
Hardcover ISBN: 978-3-540-72996-9Published: 20 December 2007
Softcover ISBN: 978-3-642-09210-7Published: 16 November 2010
eBook ISBN: 978-3-540-72997-6Published: 30 November 2007
Series ISSN: 0075-8450
Series E-ISSN: 1616-6361
Edition Number: 1
Number of Pages: XI, 383
Topics: Vibration, Dynamical Systems, Control, Mechanical Engineering, Complex Systems, Solid Mechanics, Mathematical Methods in Physics, Statistical Physics and Dynamical Systems