000 03200nam a22005535i 4500
001 978-3-540-72997-6
003 DE-He213
005 20160624101858.0
007 cr nn 008mamaa
008 100301s2008 gw | s |||| 0|eng d
020 _a9783540729976
_9978-3-540-72997-6
024 7 _a10.1007/978-3-540-72997-6
_2doi
050 4 _aTA355
050 4 _aTA352-356
072 7 _aTGMD4
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aSCI018000
_2bisacsh
082 0 4 _a620
_223
100 1 _aSocha, Leslaw.
_eauthor.
245 1 0 _aLinearization Methods for Stochastic Dynamic Systems
_h[electronic resource] /
_cby Leslaw Socha.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2008.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2008.
300 _aXI, 383 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v730
505 0 _aMathematical Preliminaries -- Moment Equations for Linear Stochastic Dynamic Systems (LSDS) -- Moment Equations for Nonlinear Stochastic Dynamic Systems (NSDS) -- Statistical Linearization of Stochastic Dynamic Systems Under External Excitations -- Equivalent Linearization of Stochastic Dynamic Systems Under External Excitation -- Nonlinearization Methods -- Linearization of Dynamic Systems with Stochastic Parametric Excitations -- Applications of Linearization Methods in Vibration Analysis of Stochastic Mechanical Structures -- Accuracy of Linearization Methods.
520 _aFor 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.
650 0 _aEngineering.
650 0 _aDistribution (Probability theory).
650 0 _aMathematical physics.
650 0 _aPhysics.
650 0 _aVibration.
650 1 4 _aEngineering.
650 2 4 _aVibration, Dynamical Systems, Control.
650 2 4 _aMathematical Methods in Physics.
650 2 4 _aProbability Theory and Stochastic Processes.
650 2 4 _aComplexity.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540729969
786 _dSpringer
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v730
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-540-72997-6
942 _2EBK2838
_cEBK
999 _c32132
_d32132