Non Smooth Deterministic Or Stochastic Discrete Dynamical Systems PDF Download
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| Author | : Jerome Bastien |
| Publisher | : John Wiley & Sons |
| Total Pages | : 514 |
| Release | : 2013-03-18 |
| Genre | : Mathematics |
| ISBN | : 1118604083 |
Download Non-Smooth Deterministic or Stochastic Discrete Dynamical Systems Book in PDF, ePub and Kindle
This book contains theoretical and application-oriented methods to treat models of dynamical systems involving non-smooth nonlinearities. The theoretical approach that has been retained and underlined in this work is associated with differential inclusions of mainly finite dimensional dynamical systems and the introduction of maximal monotone operators (graphs) in order to describe models of impact or friction. The authors of this book master the mathematical, numerical and modeling tools in a particular way so that they can propose all aspects of the approach, in both a deterministic and stochastic context, in order to describe real stresses exerted on physical systems. Such tools are very powerful for providing reference numerical approximations of the models. Such an approach is still not very popular nevertheless, even though it could be very useful for many models of numerous fields (e.g. mechanics, vibrations, etc.). This book is especially suited for people both in research and industry interested in the modeling and numerical simulation of discrete mechanical systems with friction or impact phenomena occurring in the presence of classical (linear elastic) or non-classical constitutive laws (delay, memory effects, etc.). It aims to close the gap between highly specialized mathematical literature and engineering applications, as well as to also give tools in the framework of non-smooth stochastic differential systems: thus, applications involving stochastic excitations (earthquakes, road surfaces, wind models etc.) are considered. Contents 1. Some Simple Examples. 2. Theoretical Deterministic Context. 3. Stochastic Theoretical Context. 4. Riemannian Theoretical Context. 5. Systems with Friction. 6. Impact Systems. 7. Applications–Extensions. About the Authors Jérôme Bastien is Assistant Professor at the University Lyon 1 (Centre de recherche et d'Innovation sur le sport) in France. Frédéric Bernardin is a Research Engineer at Département Laboratoire de Clermont-Ferrand (DLCF), Centre d'Etudes Techniques de l'Equipement (CETE), Lyon, France. Claude-Henri Lamarque is Head of Laboratoire Géomatériaux et Génie Civil (LGCB) and Professor at Ecole des Travaux Publics de l'Etat (ENTPE), Vaulx-en-Velin, France.
| Author | : El-Kebir Boukas |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 448 |
| Release | : 2002-03-01 |
| Genre | : Mathematics |
| ISBN | : 9780817642457 |
Download Deterministic and Stochastic Time-Delay Systems Book in PDF, ePub and Kindle
Most practical processes such as chemical reactor, industrial furnace, heat exchanger, etc., are nonlinear stochastic systems, which makes their con trol in general a hard problem. Currently, there is no successful design method for this class of systems in the literature. One common alterna tive consists of linearizing the nonlinear dynamical stochastic system in the neighborhood of an operating point and then using the techniques for linear systems to design the controller. The resulting model is in general an approximation of the real behavior of a dynamical system. The inclusion of the uncertainties in the model is therefore necessary and will certainly improve the performance of the dynamical system we want to control. The control of uncertain systems has attracted a lot of researchers from the control community. This topic has in fact dominated the research effort of the control community during the last two decades, and many contributions have been reported in the literature. Some practical dynamical systems have time delay in their dynamics, which makes their control a complicated task even in the deterministic case. Recently, the class ofuncertain dynamical deterministic systems with time delay has attracted some researchers, and some interesting results have been reported in both deterministic and stochastic cases. But wecan't claim that the control problem ofthis class ofsystems is completely solved; more work must be done for this class of systems.
| Author | : Tomás Caraballo |
| Publisher | : Springer |
| Total Pages | : 115 |
| Release | : 2017-01-31 |
| Genre | : Mathematics |
| ISBN | : 3319492470 |
Download Applied Nonautonomous and Random Dynamical Systems Book in PDF, ePub and Kindle
This book offers an introduction to the theory of non-autonomous and stochastic dynamical systems, with a focus on the importance of the theory in the Applied Sciences. It starts by discussing the basic concepts from the theory of autonomous dynamical systems, which are easier to understand and can be used as the motivation for the non-autonomous and stochastic situations. The book subsequently establishes a framework for non-autonomous dynamical systems, and in particular describes the various approaches currently available for analysing the long-term behaviour of non-autonomous problems. Here, the major focus is on the novel theory of pullback attractors, which is still under development. In turn, the third part represents the main body of the book, introducing the theory of random dynamical systems and random attractors and revealing how it may be a suitable candidate for handling realistic models with stochasticity. A discussion of future research directions serves to round out the coverage.
| Author | : Abdelkhalak El Hami |
| Publisher | : John Wiley & Sons |
| Total Pages | : 324 |
| Release | : 2023-01-12 |
| Genre | : Technology & Engineering |
| ISBN | : 1786308819 |
Download Reliability and Physics-of-Healthy in Mechatronics Book in PDF, ePub and Kindle
This book illustrates simply, but with many details, the state of the art of reliability science, exploring clear reliability disciplines and applications through concrete examples from their industries and from real life, based on industrial experiences. Many experts believe that reliability is not only a matter of statistics but is a multidisciplinary scientific topic, involving materials, tests, simulations, quality tools, manufacturing, electronics, mechatronics, environmental engineering and Big Data, among others. For a complex mechatronic system, failure risks have to be identified at an early stage of the design. In the automotive and aeronautic industries, fatigue simulation is used both widely and efficiently. Problems arise from the variability of inputs such as fatigue parameters and life curves. This book aims to discuss probabilistic fatigue and reliability simulation. To do this, Reliability and Physics-of-Healthy in Mechatronics provides a study on some concepts of a predictive reliability model of microelectronics, with examples from the automotive, aeronautic and space industries, based on entropy and Physics-of-Healthy
| Author | : Christophe Bouvet |
| Publisher | : John Wiley & Sons |
| Total Pages | : 268 |
| Release | : 2017-08-10 |
| Genre | : Science |
| ISBN | : 1119459087 |
Download Mechanics of Aeronautical Composite Materials Book in PDF, ePub and Kindle
This book presents the principles of composite laminate sizing widely used for composite structures. The focus is on aeronautics in particular, including the concepts of limit loads and ultimate loads. After a brief overview of the main composite materials used in aeronautics, the basic theory of laminated plates and the associated rupture criteria are given. The author presents two fundamental cases of the sizing of aeronautical composite structures: the calculation of the holed structures and their subsequent multi-bolt joints, and the calculation of the buckling. The concept of damage tolerance is also explored, with a focus on its application for tolerance to impact damage. These notions are fundamental for understanding the specificities of the sizing of aeronautical composite structures. The book also contains corrected exercises for the reader to test their understanding of the different topics covered.
| Author | : Michel Ledoux |
| Publisher | : John Wiley & Sons |
| Total Pages | : 310 |
| Release | : 2017-01-19 |
| Genre | : Science |
| ISBN | : 1119384613 |
Download Fluid Mechanics Book in PDF, ePub and Kindle
The book aims to provide an efficient methodology of solving a fluid mechanics problem. It aims to meet different objectives of the student, the future engineer or scientist. Using simple sizing calculations, and more advanced analytical calculations, the book covers all the essential numerical approaches for solving complex practical problems.
| Author | : Michel Ledoux |
| Publisher | : John Wiley & Sons |
| Total Pages | : 258 |
| Release | : 2021-05-04 |
| Genre | : Science |
| ISBN | : 1786305178 |
Download Heat Transfer 2 Book in PDF, ePub and Kindle
Heat is a branch of thermodynamics that occupies a unique position due to its involvement in the field of practice. Being linked to the management, transport and exchange of energy in thermal form, it impacts all aspects of human life and activity. Heat transfers are, by nature, classified as conduction, convection (which inserts conduction into fluid mechanics) and radiation. The importance of these three transfer methods has resulted – justifiably – in a separate volume being afforded to each of them. This second volume is dedicated to radiation. After recalling photometry, the calculation of luminance is addressed using the theory of the black body and associated laws: Stefan, Wien. The reciprocal radiation of two surfaces in total influence is discussed extensively, and the case of finished surfaces is also considered. Heat Transfer 2 combines a basic approach with a deeper understanding of the discipline and will therefore appeal to a wide audience, from technician to engineer, from doctoral student to teacher-researcher.
| Author | : Rabeb Ben Kahla |
| Publisher | : John Wiley & Sons |
| Total Pages | : 200 |
| Release | : 2020-01-02 |
| Genre | : Science |
| ISBN | : 1786305186 |
Download Finite Element Method and Medical Imaging Techniques in Bone Biomechanics Book in PDF, ePub and Kindle
Digital models based on data from medical images have recently become widespread in the field of biomechanics. This book summarizes medical imaging techniques and processing procedures, both of which are necessary for creating bone models with finite element methods. Chapter 1 introduces the main principles and the application of the most commonly used medical imaging techniques. Chapter 2 describes the major methods and steps of medical image analysis and processing. Chapter 3 presents a brief review of recent studies on reconstructed finite element bone models, based on medical images. Finally, Chapter 4 reveals the digital results obtained for the main bone sites that have been targeted by finite element modeling in recent years.
| Author | : Ghias Kharmanda |
| Publisher | : John Wiley & Sons |
| Total Pages | : 221 |
| Release | : 2016-10-14 |
| Genre | : Science |
| ISBN | : 1119370825 |
Download Reliability in Biomechanics Book in PDF, ePub and Kindle
In this book, the authors present in detail several recent methodologies and algorithms that we have developed during the last fifteen years. The deterministic methods account for uncertainties through empirical safety factors, which implies that the actual uncertainties in materials, geometry and loading are not truly considered. This problem becomes much more complicated when considering biomechanical applications where a number of uncertainties are encountered in the design of prosthesis systems. This book implements improved numerical strategies and algorithms that can be applied only in biomechanical studies.
| Author | : Abdelkhalak El Hami |
| Publisher | : John Wiley & Sons |
| Total Pages | : 236 |
| Release | : 2017-02-07 |
| Genre | : Science |
| ISBN | : 1119388910 |
Download Fluid-Structure Interactions and Uncertainties Book in PDF, ePub and Kindle
This book is dedicated to the general study of fluid structure interaction with consideration of uncertainties. The fluid-structure interaction is the study of the behavior of a solid in contact with a fluid, the response can be strongly affected by the action of the fluid. These phenomena are common and are sometimes the cause of the operation of certain systems, or otherwise manifest malfunction. The vibrations affect the integrity of structures and must be predicted to prevent accelerated wear of the system by material fatigue or even its destruction when the vibrations exceed a certain threshold.
