TY  - BOOK
AU  - Socha,Leslaw
ED  - SpringerLink (Online service)
TI  - Linearization Methods for Stochastic Dynamic Systems
T2  - Lecture Notes in Physics,
SN  - 9783540729976
AV  - TA355 
U1  - 620 23
PY  - 2008///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Engineering
KW  - Distribution (Probability theory)
KW  - Mathematical physics
KW  - Physics
KW  - Vibration
KW  - Vibration, Dynamical Systems, Control
KW  - Mathematical Methods in Physics
KW  - Probability Theory and Stochastic Processes
KW  - Complexity
N1  - Mathematical 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
N2  - 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
UR  - http://dx.doi.org/10.1007/978-3-540-72997-6
ER  -