Linearization Methods for Stochastic Dynamic Systems

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...

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Principais autores: Socha, Leslaw., SpringerLink (Online service)
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Endereço do item:http://dx.doi.org/10.1007/978-3-540-72997-6
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spelling oai:localhost:123456789-1297342023-07-17T15:13:00Z Linearization Methods for Stochastic Dynamic Systems Socha, Leslaw. SpringerLink (Online service) Engenharia. Distribuição (Teoria da probabilidade) Fisica matematica. Física. Vibração. 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. 0 2022-10-06T07:49:58Z 2022-10-06T07:49:58Z 2008. Digital 62 S678l 9783540729976 197684 http://dx.doi.org/10.1007/978-3-540-72997-6 http://dx.doi.org/10.1007/978-3-540-72997-6
institution Acervo SISBI
collection SIGAA
topic Engenharia.
Distribuição (Teoria da probabilidade)
Fisica matematica.
Física.
Vibração.
spellingShingle Engenharia.
Distribuição (Teoria da probabilidade)
Fisica matematica.
Física.
Vibração.
Socha, Leslaw.
SpringerLink (Online service)
Linearization Methods for Stochastic Dynamic Systems
description 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.
format Digital
author Socha, Leslaw.
SpringerLink (Online service)
author_facet Socha, Leslaw.
SpringerLink (Online service)
author_sort Socha, Leslaw.
title Linearization Methods for Stochastic Dynamic Systems
title_short Linearization Methods for Stochastic Dynamic Systems
title_full Linearization Methods for Stochastic Dynamic Systems
title_fullStr Linearization Methods for Stochastic Dynamic Systems
title_full_unstemmed Linearization Methods for Stochastic Dynamic Systems
title_sort linearization methods for stochastic dynamic systems
publishDate 2022
url http://dx.doi.org/10.1007/978-3-540-72997-6
work_keys_str_mv AT sochaleslaw linearizationmethodsforstochasticdynamicsystems
AT springerlinkonlineservice linearizationmethodsforstochasticdynamicsystems
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