Linearization Methods for Stochastic Dynamic Systems: 730 (Lecture Notes in Physics) - Softcover

Socha, Leslaw

 
9783642092107: Linearization Methods for Stochastic Dynamic Systems: 730 (Lecture Notes in Physics)

Inhaltsangabe

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.

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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.

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9783540729969: Linearization Methods for Stochastic Dynamic Systems: 730 (Lecture Notes in Physics, 730)

Vorgestellte Ausgabe

ISBN 10:  3540729968 ISBN 13:  9783540729969
Verlag: Springer, 2007
Hardcover