Linearization Methods for Stochastic Dynamic Systems

  • Leslaw Socha

Part of the Lecture Notes in Physics book series (LNP, volume 730)

About this book

Introduction

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 continous 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.

Keywords

Experiment dynamical systems linearization stochastic processes vibration vibrations

Authors and affiliations

  • Leslaw Socha
    • 1
    • 2
  1. 1.Faculty of Mathematics and Natural Sciences College of SciencesCardinal Stefan Wyszyński University in WarsawPoland
  2. 2.Department of Mathematics, Physics and ChemistryUniversity of Silesia40-007 KatowicePoland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-72997-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 2008
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-540-72996-9
  • Online ISBN 978-3-540-72997-6
  • Series Print ISSN 0075-8450
  • About this book