Analytical Dynamics of Discrete Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1468483188
Total Pages : 431 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Analytical Dynamics of Discrete Systems by : R. Rosenberg

Download or read book Analytical Dynamics of Discrete Systems written by R. Rosenberg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is to serve as a text for engineering students at the senior or beginning graduate level in a second course in dynamics. It grew out of many years experience in teaching such a course to senior students in mechanical engineering at the University of California, Berkeley. While temperamentally disinclined to engage in textbook writing, I nevertheless wrote the present volume for the usual reason-I was unable to find a satisfactory English-language text with the content covered in my inter mediate course in dynamics. Originally, I had intended to fit this text very closely to the content of my dynamics course for seniors. However, it soon became apparent that that course reflects too many of my personal idiosyncracies, and perhaps it also covers too little material to form a suitable basis for a general text. Moreover, as the manuscript grew, so did my interest in certain phases of the subject. As a result, this book contains more material than can be studied in one semester or quarter. My own course covers Chapters 1 to 5 (Chapters 1,2, and 3 lightly) and Chapters 8 to 20 (Chapter 17 lightly).

Analytical Dynamics of Discrete Systems

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ISBN 13 : 9781468483192
Total Pages : 450 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Analytical Dynamics of Discrete Systems by : R. Rosenberg

Download or read book Analytical Dynamics of Discrete Systems written by R. Rosenberg and published by . This book was released on 1977-10-01 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analytical Dynamics of Discrete Systems

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (878 download)

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Book Synopsis Analytical Dynamics of Discrete Systems by : Reinhardt Mathias Rosenberg

Download or read book Analytical Dynamics of Discrete Systems written by Reinhardt Mathias Rosenberg and published by . This book was released on 1984 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analytical Dynamics of Discrete Systems

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Publisher :
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.:/5 (819 download)

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Book Synopsis Analytical Dynamics of Discrete Systems by : Reinhardt M. Rosemberg

Download or read book Analytical Dynamics of Discrete Systems written by Reinhardt M. Rosemberg and published by . This book was released on 1980 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analytical Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 0306486822
Total Pages : 345 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Analytical Dynamics by : Mark D. Ardema

Download or read book Analytical Dynamics written by Mark D. Ardema and published by Springer Science & Business Media. This book was released on 2006-10-31 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes a traditional approach to the development of the methods of analytical dynamics, using two types of examples throughout: simple illustrations of key results and thorough applications to complex, real-life problems.

Analytical Dynamics

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (421 download)

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Book Synopsis Analytical Dynamics by : Reinhardt M. Rosenberg

Download or read book Analytical Dynamics written by Reinhardt M. Rosenberg and published by . This book was released on 1977 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Principles of Analytical System Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 1461205972
Total Pages : 163 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Principles of Analytical System Dynamics by : Richard A. Layton

Download or read book Principles of Analytical System Dynamics written by Richard A. Layton and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: A novel approach to analytical mechanics, using differential-algebraic equations, which, unlike the usual approach via ordinary differential equations, provides a direct connection to numerical methods and avoids the cumbersome graphical methods that are often needed in analysing systems. Using energy as a unifying concept and systems theory as a unifying theme, the book addresses the foundations of such disciplines as mechatronics, concurrent engineering, and systems integration, considering only discrete systems. Readers are expected to be familiar with the fundamentals of engineering mechanics, but no detailed knowledge of analytical mechanics, system dynamics, or variational calculus is required. The treatment is thus accessible to advanced undergraduates, and the interdisciplinary approach should be of interest not only to academic engineers and physicists, but also to practising engineers and applied mathematicians.

Tensor Calculus and Analytical Dynamics

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Publisher : Routledge
ISBN 13 : 1351411624
Total Pages : 435 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Tensor Calculus and Analytical Dynamics by : John G. Papastavridis

Download or read book Tensor Calculus and Analytical Dynamics written by John G. Papastavridis and published by Routledge. This book was released on 2018-12-12 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tensor Calculus and Analytical Dynamics provides a concise, comprehensive, and readable introduction to classical tensor calculus - in both holonomic and nonholonomic coordinates - as well as to its principal applications to the Lagrangean dynamics of discrete systems under positional or velocity constraints. The thrust of the book focuses on formal structure and basic geometrical/physical ideas underlying most general equations of motion of mechanical systems under linear velocity constraints. Written for the theoretically minded engineer, Tensor Calculus and Analytical Dynamics contains uniquely accessbile treatments of such intricate topics as: tensor calculus in nonholonomic variables Pfaffian nonholonomic constraints related integrability theory of Frobenius The book enables readers to move quickly and confidently in any particular geometry-based area of theoretical or applied mechanics in either classical or modern form.

Advanced Analytical Dynamics

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Publisher : Cambridge University Press
ISBN 13 : 1107179602
Total Pages : 305 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Advanced Analytical Dynamics by : Vincent De Sapio

Download or read book Advanced Analytical Dynamics written by Vincent De Sapio and published by Cambridge University Press. This book was released on 2017-02-27 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for graduate students, this textbook provides an understanding of the theoretical underpinnings of analytical mechanics, as well as modern task-based approaches that can be exploited for real-world problems. Students will receive a timely perspective on applying theory to modern problems in areas like biomechanics and robotics.

Tensor Calculus and Analytical Dynamics

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Publisher : Routledge
ISBN 13 : 1351411616
Total Pages : 444 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Tensor Calculus and Analytical Dynamics by : John G. Papastavridis

Download or read book Tensor Calculus and Analytical Dynamics written by John G. Papastavridis and published by Routledge. This book was released on 2018-12-12 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tensor Calculus and Analytical Dynamics provides a concise, comprehensive, and readable introduction to classical tensor calculus - in both holonomic and nonholonomic coordinates - as well as to its principal applications to the Lagrangean dynamics of discrete systems under positional or velocity constraints. The thrust of the book focuses on formal structure and basic geometrical/physical ideas underlying most general equations of motion of mechanical systems under linear velocity constraints. Written for the theoretically minded engineer, Tensor Calculus and Analytical Dynamics contains uniquely accessbile treatments of such intricate topics as: tensor calculus in nonholonomic variables Pfaffian nonholonomic constraints related integrability theory of Frobenius The book enables readers to move quickly and confidently in any particular geometry-based area of theoretical or applied mechanics in either classical or modern form.

Analytical Dynamics

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Publisher : Cambridge University Press
ISBN 13 : 0521048338
Total Pages : 0 pages
Book Rating : 4.5/5 (21 download)

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Book Synopsis Analytical Dynamics by : Firdaus E. Udwadia

Download or read book Analytical Dynamics written by Firdaus E. Udwadia and published by Cambridge University Press. This book was released on 2007-12-17 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constrained motion is of paramount importance in the design and analysis of mechanical systems and central to the study of analytical dynamics. The problem of constrained motion was first posed over two hundred years ago, and it has been worked on vigorously ever since. This book offers a fresh approach to the subject. Eminently readable, it is written as an introduction to analytical dynamics, with emphasis on fundamental concepts in mechanics. The connection between generalized inverses of matrices and constrained motion is a central theme. The book begins with a description of the motion of a particle subjected to holonomic and nonholonomic constraints and presents explicit equations of motion. Examples are provided throughout the book, and carefully formulated problems at the end of each chapter reinforce the material covered. This computationally appealing approach will be useful to students in engineering and the applied sciences.

Discrete Dynamical Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3540367764
Total Pages : 159 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Discrete Dynamical Systems by : Oded Galor

Download or read book Discrete Dynamical Systems written by Oded Galor and published by Springer Science & Business Media. This book was released on 2007-05-17 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to discrete dynamical systems – a framework of analysis that is commonly used in the ?elds of biology, demography, ecology, economics, engineering, ?nance, and physics. The book characterizes the fundamental factors that govern the quantitative and qualitative trajectories of a variety of deterministic, discrete dynamical systems, providing solution methods for systems that can be solved analytically and methods of qualitative analysis for those systems that do not permit or necessitate an explicit solution. The analysis focuses initially on the characterization of the factors that govern the evolution of state variables in the elementary context of one-dimensional, ?rst-order, linear, autonomous systems. The f- damental insights about the forces that a?ect the evolution of these - ementary systems are subsequently generalized, and the determinants of the trajectories of multi-dimensional, nonlinear, higher-order, non- 1 autonomous dynamical systems are established. Chapter 1 focuses on the analysis of the evolution of state variables in one-dimensional, ?rst-order, autonomous systems. It introduces a method of solution for these systems, and it characterizes the traj- tory of a state variable, in relation to a steady-state equilibrium of the system, examining the local and global (asymptotic) stability of this steady-state equilibrium. The ?rst part of the chapter characterizes the factors that determine the existence, uniqueness and stability of a steady-state equilibrium in the elementary context of one-dimensional, ?rst-order, linear autonomous systems.

Analysis and Modelling of Discrete Dynamical Systems

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Publisher :
ISBN 13 : 9789056996260
Total Pages : 319 pages
Book Rating : 4.9/5 (962 download)

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Book Synopsis Analysis and Modelling of Discrete Dynamical Systems by : Daniel Benest

Download or read book Analysis and Modelling of Discrete Dynamical Systems written by Daniel Benest and published by . This book was released on 1997-11-30 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of dynamical systems, or mappings, plays an important role in various disciplines of modern physics, including celestial mechanics and fluid mechanics. This comprehensive introduction to the general study of mappings has particular emphasis on their applications to the dynamics of the solar system. The book forms a bridge between continuous systems, which are suited to analytical developments and to discrete systems, which are suitable for numerical exploration. Featuring chapters based on lectures delivered at the School on Discrete Dynamical Systems (Aussois, France, February 1996) the book contains three parts - Numerical Tools and Modelling, Analytical Methods, and Examples of Application. It provides a single source of information that, until now, has been available only in widely dispersed journal articles.

Mechanical Systems, Classical Models

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Publisher : Springer Science & Business Media
ISBN 13 : 9048127645
Total Pages : 781 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Mechanical Systems, Classical Models by : Petre P. Teodorescu

Download or read book Mechanical Systems, Classical Models written by Petre P. Teodorescu and published by Springer Science & Business Media. This book was released on 2009-09-30 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: All phenomena in nature are characterized by motion. Mechanics deals with the objective laws of mechanical motion of bodies, the simplest form of motion. In the study of a science of nature, mathematics plays an important rôle. Mechanics is the first science of nature which has been expressed in terms of mathematics, by considering various mathematical models, associated to phenomena of the surrounding nature. Thus, its development was influenced by the use of a strong mathematical tool. As it was already seen in the first two volumes of the present book, its guideline is precisely the mathematical model of mechanics. The classical models which we refer to are in fact models based on the Newtonian model of mechanics, that is on its five principles, i.e.: the inertia, the forces action, the action and reaction, the independence of the forces action and the initial conditions principle, respectively. Other models, e.g., the model of attraction forces between the particles of a discrete mechanical system, are part of the considered Newtonian model. Kepler’s laws brilliantly verify this model in case of velocities much smaller then the light velocity in vacuum.

Dynamical Systems

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Publisher : BoD – Books on Demand
ISBN 13 : 9535130153
Total Pages : 276 pages
Book Rating : 4.5/5 (351 download)

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Book Synopsis Dynamical Systems by : Mahmut Reyhanoglu

Download or read book Dynamical Systems written by Mahmut Reyhanoglu and published by BoD – Books on Demand. This book was released on 2017-03-15 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: There has been a considerable progress made during the recent past on mathematical techniques for studying dynamical systems that arise in science and engineering. This progress has been, to a large extent, due to our increasing ability to mathematically model physical processes and to analyze and solve them, both analytically and numerically. With its eleven chapters, this book brings together important contributions from renowned international researchers to provide an excellent survey of recent advances in dynamical systems theory and applications. The first section consists of seven chapters that focus on analytical techniques, while the next section is composed of four chapters that center on computational techniques.

Discrete Systems With Memory

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Publisher : World Scientific
ISBN 13 : 9814460648
Total Pages : 478 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Discrete Systems With Memory by : Ramon Alonso-sanz

Download or read book Discrete Systems With Memory written by Ramon Alonso-sanz and published by World Scientific. This book was released on 2011-03-08 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Memory is a universal function of organized matter. What is the mathematics of memory? How does memory affect the space-time behaviour of spatially extended systems? Does memory increase complexity? This book provides answers to these questions.It focuses on the study of spatially extended systems, i.e., cellular automata and other related discrete complex systems. Thus, arrays of locally connected finite state machines, or cells, update their states simultaneously, in discrete time, by the same transition rule. The classical dynamics in these systems is Markovian: only the actual configuration is taken into account to generate the next one.Generalizing the conventional view on spatially extended discrete dynamical systems evolution by allowing cells (or nodes) to be featured by some trait state computed as a function of its own previous state-values, the transition maps of the classical systems are kept unaltered, so that the effect of memory can be easily traced.The book demonstrates that discrete dynamical systems with memory are not only priceless tools for modeling natural phenomena but unique mathematical and aesthetic objects.

Discrete Networked Dynamic Systems

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Publisher : Academic Press
ISBN 13 : 0128236981
Total Pages : 484 pages
Book Rating : 4.1/5 (282 download)

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Book Synopsis Discrete Networked Dynamic Systems by : Magdi S. Mahmoud

Download or read book Discrete Networked Dynamic Systems written by Magdi S. Mahmoud and published by Academic Press. This book was released on 2020-11-06 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete Networked Dynamic Systems: Analysis and Performance provides a high-level treatment of a general class of linear discrete-time dynamic systems interconnected over an information network, exchanging relative state measurements or output measurements. It presents a systematic analysis of the material and provides an account to the math development in a unified way. The topics in this book are structured along four dimensions: Agent, Environment, Interaction, and Organization, while keeping global (system-centered) and local (agent-centered) viewpoints. The focus is on the wide-sense consensus problem in discrete networked dynamic systems. The authors rely heavily on algebraic graph theory and topology to derive their results. It is known that graphs play an important role in the analysis of interactions between multiagent/distributed systems. Graph-theoretic analysis provides insight into how topological interactions play a role in achieving coordination among agents. Numerous types of graphs exist in the literature, depending on the edge set of G. A simple graph has no self-loop or edges. Complete graphs are simple graphs with an edge connecting any pair of vertices. The vertex set in a bipartite graph can be partitioned into disjoint non-empty vertex sets, whereby there is an edge connecting every vertex in one set to every vertex in the other set. Random graphs have fixed vertex sets, but the edge set exhibits stochastic behavior modeled by probability functions. Much of the studies in coordination control are based on deterministic/fixed graphs, switching graphs, and random graphs. This book addresses advanced analytical tools for characterization control, estimation and design of networked dynamic systems over fixed, probabilistic and time-varying graphs Provides coherent results on adopting a set-theoretic framework for critically examining problems of the analysis, performance and design of discrete distributed systems over graphs Deals with both homogeneous and heterogeneous systems to guarantee the generality of design results