The Analysis Of Complex Nonlinear Mechanical Systems PDF Download
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Author | : Martin Lesser |
Publisher | : World Scientific Series on Nonlinear Science Series A |
Total Pages | : 341 |
Release | : 1995 |
Genre | : Science |
ISBN | : 9789810222093 |
Download The Analysis of Complex Nonlinear Mechanical Systems Book in PDF, ePub and Kindle
The book covers the fundamentals of the mechanics of multibody systems, i.e., systems of interconnected rigid bodies. A geometric view is emphasized in which the techniques and algorithms are motivated by the picture of the rigid body system as a point in the multidimensional space of all possible configurations. The reader is introduced to computer algebra methods in the form of a system, called Sophia, which is implemented in the Maple symbolic manipulation system. The first chapter provides a motivational introduction to the basic principles and an introduction to Maple. Kinematics based on the idea of tangent vectors to the configuration manifold sets the stage for dynamical analysis. The latter ranges from the Lagrange and Gibbs-Appell to Kane's equations. Coverage includes nonholonomic systems and redundant variable methods. The computer algebra methods included enable the treatment of nontrivial mechanical systems and the development of efficient numerical codes for simulation.
Author | : Martin Lesser |
Publisher | : World Scientific |
Total Pages | : 360 |
Release | : 1995 |
Genre | : Mathematics |
ISBN | : 9789810234775 |
Download Analysis of Complex Nonlinear Mechanical Systems Book in PDF, ePub and Kindle
The book covers the fundamentals of the mechanics of multibody systems, i.e., systems of interconnected rigid bodies. A geometric view is emphasized in which the techniques and algorithms are motivated by the picture of the rigid body system as a point in the multidimensional space of all possible configurations. The reader is introduced to computer algebra methods in the form of a system, called Sophia, which is implemented in the Maple symbolic manipulation system. The first chapter provides a motivational introduction to the basic principles and an introduction to Maple. Kinematics based on the idea of tangent vectors to the configuration manifold sets the stage for dynamical analysis. The latter ranges from the Lagrange and Gibbs-Appell to Kane's equations. Coverage includes nonholonomic systems and redundant variable methods. The computer algebra methods included enable the treatment of nontrivial mechanical systems and the development of efficient numerical codes for simulation.
Author | : Martin Lesser |
Publisher | : |
Total Pages | : 357 |
Release | : 1995 |
Genre | : |
ISBN | : 9789812798688 |
Download The Analysis Of Complex Nonlinear Mechanical Systems Book in PDF, ePub and Kindle
Author | : Gaetan Kerschen |
Publisher | : Springer |
Total Pages | : 346 |
Release | : 2014-10-13 |
Genre | : Technology & Engineering |
ISBN | : 3709117917 |
Download Modal Analysis of Nonlinear Mechanical Systems Book in PDF, ePub and Kindle
The book first introduces the concept of nonlinear normal modes (NNMs) and their two main definitions. The fundamental differences between classical linear normal modes (LNMs) and NNMs are explained and illustrated using simple examples. Different methods for computing NNMs from a mathematical model are presented. Both advanced analytical and numerical methods are described. Particular attention is devoted to the invariant manifold and normal form theories. The book also discusses nonlinear system identification.
Author | : Hiroshi Yabuno |
Publisher | : John Wiley & Sons |
Total Pages | : 324 |
Release | : 2021-02-16 |
Genre | : Technology & Engineering |
ISBN | : 1119066530 |
Download Linear and Nonlinear Instabilities in Mechanical Systems Book in PDF, ePub and Kindle
LINEAR and NONLINEAR INSTABILITIES in MECHANICAL SYSTEMS An in-depth insight into nonlinear analysis and control As mechanical systems become lighter, faster, and more flexible, various nonlinear instability phenomena can occur in practical systems. The fundamental knowledge of nonlinear analysis and control is essential to engineers for analysing and controlling nonlinear instability phenomena. This book bridges the gap between the mathematical expressions of nonlinear dynamics and the corresponding practical phenomena. Linear and Nonlinear Instabilities in Mechanical Systems: Analysis, Control and Application provides a detailed and informed insight into the fundamental methods for analysis and control for nonlinear instabilities from the practical point of view. Key features: Refers to the behaviours of practical mechanical systems such as aircraft, railway vehicle, robot manipulator, micro/nano sensor Enhances the rigorous and practical understanding of mathematical methods from an engineering point of view The theoretical results obtained by nonlinear analysis are interpreted by using accompanying videos on the real nonlinear behaviors of nonlinear mechanical systems Linear and Nonlinear Instabilities in Mechanical Systems is an essential textbook for students on engineering courses, and can also be used for self-study or reference by engineers.
Author | : Yunpeng Zhu |
Publisher | : Springer Nature |
Total Pages | : 164 |
Release | : 2021-03-25 |
Genre | : Technology & Engineering |
ISBN | : 3030708330 |
Download Analysis and Design of Nonlinear Systems in the Frequency Domain Book in PDF, ePub and Kindle
This book focuses on the development of three novel approaches to build up a framework for the frequency domain analysis and design of nonlinear systems. The concepts are derived from Volterra series representation of nonlinear systems which are described by nonlinear difference or differential equations. Occupying the middle ground between traditional linear approaches and more complex nonlinear system theories, the book will help readers to have a good start to analyse and exploit the nonlinearities. Analysis and Design of Nonlinear Systems in the Frequency Domain provides clear illustrations and examples at the beginning and the end of each chapter, respectively, making it of interest to both academics and practicing engineers.
Author | : Jan M. Skowronski |
Publisher | : Springer Science & Business Media |
Total Pages | : 455 |
Release | : 2012-12-06 |
Genre | : Technology & Engineering |
ISBN | : 1461537223 |
Download Control of Nonlinear Mechanical Systems Book in PDF, ePub and Kindle
A modern mechanical structure must work at high speed and with high precision in space and time, in cooperation with other machines and systems. All this requires accurate dynamic modelling, for instance, recognizing Coriolis and centrifugal forces, strong coupling effects, flexibility of links, large angles articulation. This leads to a motion equation which must be highly nonlinear to describe the reality. r1oreover, work on the manufacturing floor requires coordination between nachines, between each machine and a conveyor, and demands robustness of the controllers against uncertainty in payload, gravity, external perturbations etc. This requires adaptive controllers and system coordination, and perhaps a self organizing structure. The machines become complex, strongly nonlinear and strongly coupled mechanical systems with many degrees of freedom, controlled by sophisticated mathematical programs. The design of such systems needs basic research in Control and System Dynamics, as well as in Decision Making Theory (Dynamic Games), not only in the use of these disciplines, but in their adjustment to the present demand. This in turn generates the need to prepare engineering students for the job by the teaching of more sophisti cated techniques in control and Mechanics than those contained in previous curricula. On the other hand, all that was mentioned above regarding the design of machines applies equally well to other presently designed and used mechan ical structures or systems.
Author | : M. Vidyasagar |
Publisher | : SIAM |
Total Pages | : 515 |
Release | : 2002-01-01 |
Genre | : Mathematics |
ISBN | : 9780898719185 |
Download Nonlinear Systems Analysis Book in PDF, ePub and Kindle
When M. Vidyasagar wrote the first edition of Nonlinear Systems Analysis, most control theorists considered the subject of nonlinear systems a mystery. Since then, advances in the application of differential geometric methods to nonlinear analysis have matured to a stage where every control theorist needs to possess knowledge of the basic techniques because virtually all physical systems are nonlinear in nature. The second edition, now republished in SIAM's Classics in Applied Mathematics series, provides a rigorous mathematical analysis of the behavior of nonlinear control systems under a variety of situations. It develops nonlinear generalizations of a large number of techniques and methods widely used in linear control theory. The book contains three extensive chapters devoted to the key topics of Lyapunov stability, input-output stability, and the treatment of differential geometric control theory. Audience: this text is designed for use at the graduate level in the area of nonlinear systems and as a resource for professional researchers and practitioners working in areas such as robotics, spacecraft control, motor control, and power systems.
Author | : Holm Altenbach |
Publisher | : Springer Nature |
Total Pages | : 476 |
Release | : 2021-07-29 |
Genre | : Science |
ISBN | : 3030758907 |
Download Nonlinear Mechanics of Complex Structures Book in PDF, ePub and Kindle
This book covers different topics of nonlinear mechanics in complex structures, such as the appearance of new nonlinear phenomena and the behavior of finite-dimensional and distributed nonlinear systems, including numerous systems directly connected with important technological problems.
Author | : Harry G. Kwatny |
Publisher | : Springer Science & Business Media |
Total Pages | : 338 |
Release | : 2000-09-08 |
Genre | : Computers |
ISBN | : 9780817641474 |
Download Nonlinear Control and Analytical Mechanics Book in PDF, ePub and Kindle
During the past decade we have had to confront a series of control design prob lems - involving, primarily, multibody electro-mechanical systems - in which nonlinearity plays an essential role. Fortunately, the geometric theory of non linear control system analysis progressed substantially during the 1980s and 90s, providing crucial conceptual tools that addressed many of our needs. However, as any control systems engineer can attest, issues of modeling, computation, and implementation quickly become the dominant concerns in practice. The prob lems of interest to us present unique challenges because of the need to build and manipulate complex mathematical models for both the plant and controller. As a result, along with colleagues and students, we set out to develop computer algebra tools to facilitate model building, nonlinear control system design, and code generation, the latter for both numerical simulation and real time con an outgrowth of that continuing effort. As trol implementation. This book is a result, the unique features of the book includes an integrated treatment of nonlinear control and analytical mechanics and a set of symbolic computing software tools for modeling and control system design. By simultaneously considering both mechanics and control we achieve a fuller appreciation of the underlying geometric ideas and constructions that are common to both. Control theory has had a fruitful association with analytical mechanics from its birth in the late 19th century.