Linearization Methods for Stochastic Dynamic Systems
Socha, Leslaw.
Linearization Methods for Stochastic Dynamic Systems [electronic resource] / by Leslaw Socha. - XI, 383 p. online resource. - Lecture Notes in Physics, 730 0075-8450 ; . - Lecture Notes in Physics, 730 .
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.
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.
9783540729976
10.1007/978-3-540-72997-6 doi
Vibration.
Mechanical engineering.
Mechanics.
Mechanics, Applied.
Mathematical physics.
Statistical physics.
Vibration, Dynamical Systems, Control.
Mechanical Engineering.
Complex Systems.
Solid Mechanics.
Mathematical Methods in Physics.
Statistical Physics and Dynamical Systems.
TA355 TA352-356
620
Linearization Methods for Stochastic Dynamic Systems [electronic resource] / by Leslaw Socha. - XI, 383 p. online resource. - Lecture Notes in Physics, 730 0075-8450 ; . - Lecture Notes in Physics, 730 .
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.
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.
9783540729976
10.1007/978-3-540-72997-6 doi
Vibration.
Mechanical engineering.
Mechanics.
Mechanics, Applied.
Mathematical physics.
Statistical physics.
Vibration, Dynamical Systems, Control.
Mechanical Engineering.
Complex Systems.
Solid Mechanics.
Mathematical Methods in Physics.
Statistical Physics and Dynamical Systems.
TA355 TA352-356
620