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Linearization Methods For Stochastic Dynamic Systems


Linearization Methods For Stochastic Dynamic Systems
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Linearization Methods For Stochastic Dynamic Systems


Linearization Methods For Stochastic Dynamic Systems
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Author : Leslaw Socha
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-20

Linearization Methods For Stochastic Dynamic Systems written by Leslaw Socha and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-20 with Technology & Engineering categories.


For most cases of interest, exact solutions to nonlinear equations describing stochastic dynamical systems are not available. This book details the relatively simple and popular linearization techniques available, covering theory as well as application. It examines models with continuous external and parametric excitations, those that cover the majority of known approaches.



Linearization Methods For Stochastic Dynamic Systems


Linearization Methods For Stochastic Dynamic Systems
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Author : Leslaw Socha
language : en
Publisher: Springer
Release Date : 2009-09-02

Linearization Methods For Stochastic Dynamic Systems written by Leslaw Socha and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-02 with Technology & Engineering categories.


For most cases of interest, exact solutions to nonlinear equations describing stochastic dynamical systems are not available. This book details the relatively simple and popular linearization techniques available, covering theory as well as application. It examines models with continuous external and parametric excitations, those that cover the majority of known approaches.



Linearization Methods For Stochastic Dynamic Systems


Linearization Methods For Stochastic Dynamic Systems
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Author : Lesław Socha
language : en
Publisher:
Release Date : 2008

Linearization Methods For Stochastic Dynamic Systems written by Lesław Socha and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematical physics categories.


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.



Linearization Methods For Stochastic Dynamic Systems


Linearization Methods For Stochastic Dynamic Systems
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Author : Leslaw Socha
language : en
Publisher: Springer
Release Date : 2007-11-30

Linearization Methods For Stochastic Dynamic Systems written by Leslaw Socha and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-11-30 with Technology & Engineering categories.


For most cases of interest, exact solutions to nonlinear equations describing stochastic dynamical systems are not available. This book details the relatively simple and popular linearization techniques available, covering theory as well as application. It examines models with continuous external and parametric excitations, those that cover the majority of known approaches.



Probabilistic Methods In The Theory Of Structures Strength Of Materials Random Vibrations And Random Buckling


Probabilistic Methods In The Theory Of Structures Strength Of Materials Random Vibrations And Random Buckling
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Author : Isaac E Elishakoff
language : en
Publisher: World Scientific
Release Date : 2017-03-23

Probabilistic Methods In The Theory Of Structures Strength Of Materials Random Vibrations And Random Buckling written by Isaac E Elishakoff and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-23 with Technology & Engineering categories.


The first edition of this book appeared over three decades ago (Wiley-Interscience, 1983), whereas the second one saw light on the verge of new millennium (Dover, 1999). This is third, corrected and expanded edition that appears in conjunction with its companion volume .Thus, the reader is able to both get acquainted with the theoretical material and be able to master some of the problems, following Chinese dictum: I hear and I forget. I see and I remember. I do and I understand — Confucius.The main idea of the book lies in the fact that three topics: probabilistic strength of materials, random vibrations, and probabilistic buckling are presented in a single package allowing one to see the forest in between the trees. Indeed, these three topics usually are presented in separate manners, in different specialized books. Here, the reader gets a feeling of true unity of the subject at large in order to appreciate that in the end what one wants is reliability of the structure, in conjunction with its operating conditions.As the author describes in the Preface of the second edition, this book was not conceived ab initio, as a book that author strived to compose. Rather, it was forced, as it were, upon me due to two reasons. One was rather a surprising but understandable requirement in the venerable Delft University of Technology, The Netherlands to prepare the lecture notes for students with the view of reducing skyrocketing costs of acquisition of textbooks by the students. The other one was an unusually warm acceptance of the notes that the author prepared while at Delft University of Technology and later in Haifa, at the Technion-Israel Institute of Technology by the legendary engineering scientist Warner Tjardus Koiter (1914-1997). The energy necessary to prepare the second and third editions came from enthusiastic reviews that appeared in various sources. Author embraced the simplicity of exposition as the main virtue following Isaac Newton's view that 'Truth is ever to be found in simplicity, and not in the multiplicity and confusion of things.'



Numerical Methods For Reliability And Safety Assessment


Numerical Methods For Reliability And Safety Assessment
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Author : Seifedine Kadry
language : en
Publisher: Springer
Release Date : 2014-09-30

Numerical Methods For Reliability And Safety Assessment written by Seifedine Kadry and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-30 with Science categories.


This book offers unique insight on structural safety and reliability by combining computational methods that address multiphysics problems, involving multiple equations describing different physical phenomena and multiscale problems, involving discrete sub-problems that together describe important aspects of a system at multiple scales. The book examines a range of engineering domains and problems using dynamic analysis, nonlinear methods, error estimation, finite element analysis and other computational techniques. This book also: · Introduces novel numerical methods · Illustrates new practical applications · Examines recent engineering applications · Presents up-to-date theoretical results · Offers perspective relevant to a wide audience, including teaching faculty/graduate students, researchers and practicing engineers.



Control And Dynamic Systems V55 Digital And Numeric Techniques And Their Application In Control Systems


Control And Dynamic Systems V55 Digital And Numeric Techniques And Their Application In Control Systems
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Author : C.T. Leonides
language : en
Publisher: Academic Press
Release Date : 2012-12-02

Control And Dynamic Systems V55 Digital And Numeric Techniques And Their Application In Control Systems written by C.T. Leonides and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Technology & Engineering categories.


Control and Dynamic Systems: Advances in Theory Applications, Volume 55: Digital and Numeric Techniques and their Applications in Control Systems, Part 1 of 2 covers advances in numerical and computational techniques for the design of modern complex control systems. This book presents a comprehensive treatment of the many issues that are dealt with in modern complex systems. It discusses the efficacy of significant techniques for robust control design; model reduction; adaptive estimation of discrete-time stochastic systems; parameter estimation; and loop transfer recovery. Students, research workers, and practising engineers will find this book invaluable.



Quasilinear Control


Quasilinear Control
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Author : ShiNung Ching
language : en
Publisher: Cambridge University Press
Release Date : 2010-12-06

Quasilinear Control written by ShiNung Ching and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-06 with Mathematics categories.


This is a textbook and reference for readers interested in quasilinear control (QLC). QLC is a set of methods for performance analysis and design of linear plant or nonlinear instrumentation (LPNI) systems. The approach of QLC is based on the method of stochastic linearization, which reduces the nonlinearities of actuators and sensors to quasilinear gains. Unlike the usual - Jacobian linearization - stochastic linearization is global. Using this approximation, QLC extends most of the linear control theory techniques to LPNI systems. A bisection algorithm for solving these equations is provided. In addition, QLC includes new problems, specific for the LPNI scenario. Examples include Instrumented LQR/LQG, in which the controller is designed simultaneously with the actuator and sensor, and partial and complete performance recovery, in which the degradation of linear performance is either contained by selecting the right instrumentation or completely eliminated by the controller boosting.



Nonlinear Random Vibration Second Edition


Nonlinear Random Vibration Second Edition
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Author : Cho W.S. To
language : en
Publisher: CRC Press
Release Date : 2011-08-10

Nonlinear Random Vibration Second Edition written by Cho W.S. To and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-10 with Technology & Engineering categories.


This second edition of the book, Nonlinear Random Vibration: Analytical Techniques and Applications, expands on the original edition with additional detailed steps in various places in the text. It is a first systematic presentation on the subject. Its features include: • a concise treatment of Markovian and non- Markovian solutions of nonlinear stochastic differential equations, • exact solutions of Fokker-Planck-Kolmogorov equations, • methods of statistical linearization, • statistical nonlinearization techniques, • methods of stochastic averaging, • truncated hierarchy techniques, and • an appendix on probability theory. A special feature is its incorporation of detailed steps in many examples of engineering applications. Targeted audience: Graduates, research scientists and engineers in mechanical, aerospace, civil and environmental (earthquake, wind and transportation), automobile, naval, architectural, and mining engineering.



Advanced Nonlinear Strategies For Vibration Mitigation And System Identification


Advanced Nonlinear Strategies For Vibration Mitigation And System Identification
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Author : Alexander F. Vakakis
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-27

Advanced Nonlinear Strategies For Vibration Mitigation And System Identification written by Alexander F. Vakakis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-27 with Technology & Engineering categories.


The papers in this volume address advanced nonlinear topics in the general areas of vibration mitigation and system identification, such as, methods of analysis of strongly nonlinear dyanmical systems; techniques and methodologies for interpreting complex, multi-frequency transitions in damped nonlinear responses; new approaches for passive vibration mitigation based on nonlinear targeted energy transfer (TET) and the associated concept of nonlinear energy sink (NES); and an overview and assessment of current nonlinear system identification techniques.