Linearization Methods for Stochastic Dynamic Systems (Lecture Notes in Physics, 730) - Hardcover

Socha, Leslaw

Hardcover

ISBN 10: 3540729968 ISBN 13: 9783540729969

Publisher: Springer, 2007

Synopsis

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.

About this title

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2007
• Language: English
• ISBN 10: 3540729968
• ISBN 13: 9783540729969
• Binding: Hardcover
• Number of pages: 394