Download or read book Discrete Mechanics written by Jean-Paul Caltagirone and published by John Wiley & Sons. This book was released on 2019-01-23 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: The discrete vision of mechanics is based on the founding ideas of Galileo and the principles of relativity and equivalence, which postulate the equality between gravitational mass and inertial mass. To these principles are added the Hodge–Helmholtz decomposition, the principle of accumulation of constraints and the hypothesis of the duality of physical actions. These principles make it possible to establish the equation of motion based on the conservation of acceleration considered as an absolute quantity in a local frame of reference, in the form of a sum of the gradient of the scalar potential and the curl of the vector potential. These potentials, which represent the constraints of compression and rotation, are updated from the discrete operators. Discrete Mechanics: Concepts and Applications shows that this equation of discrete motion is representative of the compressible or incompressible flows of viscous or perfect fluids, the state of stress in an elastic solid or complex fluid and the propagation of nonlinear waves.
Download or read book Discrete Mechanics Geometric Integration and Lie Butcher Series written by Kurusch Ebrahimi-Fard and published by Springer. This book was released on 2018-11-05 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume resulted from presentations given at the international “Brainstorming Workshop on New Developments in Discrete Mechanics, Geometric Integration and Lie–Butcher Series”, that took place at the Instituto de Ciencias Matemáticas (ICMAT) in Madrid, Spain. It combines overview and research articles on recent and ongoing developments, as well as new research directions. Why geometric numerical integration? In their article of the same title Arieh Iserles and Reinout Quispel, two renowned experts in numerical analysis of differential equations, provide a compelling answer to this question. After this introductory chapter a collection of high-quality research articles aim at exploring recent and ongoing developments, as well as new research directions in the areas of geometric integration methods for differential equations, nonlinear systems interconnections, and discrete mechanics. One of the highlights is the unfolding of modern algebraic and combinatorial structures common to those topics, which give rise to fruitful interactions between theoretical as well as applied and computational perspectives. The volume is aimed at researchers and graduate students interested in theoretical and computational problems in geometric integration theory, nonlinear control theory, and discrete mechanics.
Download or read book Discrete Quantum Mechanics written by H. Thomas Williams and published by Morgan & Claypool Publishers. This book was released on 2015-12-01 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: After a quarter century of discoveries that rattled the foundations of classical mechanics and electrodynamics, the year 1926 saw the publication of two works intended to provide a theoretical structure to support new quantum explanations of the subatomic world. Heisenberg's matrix mechanics and Schrodinger’s wave mechanics provided compatible but mathematically disparate ways of unifying the discoveries of Planck, Einstein, Bohr and many others. Efforts began immediately to prove the equivalence of these two structures, culminated successfully by John von Neumann’s 1932 volume "Mathematical Foundations of Quantum Mechanics." This forms the springboard for the current effort. We begin with a presentation of a minimal set of von Neumann postulates while introducing language and notation to facilitate subsequent discussion of quantum calculations based in finite dimensional Hilbert spaces. Chapters which follow address two-state quantum systems (with spin one-half as the primary example), entanglement of multiple two-state systems, quantum angular momentum theory and quantum approaches to statistical mechanics. A concluding chapter gives an overview of issues associated with quantum mechanics in continuous infinite-dimensional Hilbert spaces.
Download or read book Lagrangian and Symplectic Techniques in Discrete Mechanics written by James William Gilliam and published by . This book was released on 1996 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Materials and Computational Mechanics written by Hui Xuan Zhang and published by Trans Tech Publications Ltd. This book was released on 2011-10-24 with total page 2090 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume is indexed by Thomson Reuters CPCI-S (WoS). This collection of peer-reviewed papers describes the latest advances in, and applications of: basic mechanics and research methods, dynamics and vibration, solid mechanics, fluid mechanics and thermodynamics, biomechanics and environmental mechanics, new materials and advanced materials, functional materials, materials processing technology, welding and mechanical connections, fracture, etc. the work is thus a usefully up-to-date guide to these topics.
Download or read book Constitutive Equations for Anisotropic and Isotropic Materials written by G.F. Smith and published by Newnes. This book was released on 2012-12-02 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constitutive equations define the response of materials which are subjected to applied fields. This volume presents the procedures for generating constitutive equations describing the response of crystals, isotropic and transversely isotropic materials. The book discusses the application of group representation theory, Young symmetry operators and generating functions to the determination of the general form of constitutive equations. Basic quantity tables, character tables, irreducible representation tables and direct product tables are included.
Download or read book Discrete Mechanics A Unified Approach written by H. Kardestuncer and published by Springer. This book was released on 2014-05-04 with total page 57 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fundamentals of Discrete Element Methods for Rock Engineering Theory and Applications written by Lanru Jing and published by Elsevier. This book was released on 2007-07-18 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents some fundamental concepts behind the basic theories and tools of discrete element methods (DEM), its historical development, and its wide scope of applications in geology, geophysics and rock engineering. Unlike almost all books available on the general subject of DEM, this book includes coverage of both explicit and implicit DEM approaches, namely the Distinct Element Methods and Discontinuous Deformation Analysis (DDA) for both rigid and deformable blocks and particle systems, and also the Discrete Fracture Network (DFN) approach for fluid flow and solute transport simulations. The latter is actually also a discrete approach of importance for rock mechanics and rock engineering. In addition, brief introductions to some alternative approaches are also provided, such as percolation theory and Cosserat micromechanics equivalence to particle systems, which often appear hand-in-hand with the DEM in the literature. Fundamentals of the particle mechanics approach using DEM for granular media is also presented. · Presents the fundamental concepts of the discrete models for fractured rocks, including constitutive models of rock fractures and rock masses for stress, deformation and fluid flow · Provides a comprehensive presentation on discrete element methods, including distinct elements, discontinuous deformation analysis, discrete fracture networks, particle mechanics and Cosserat representation of granular media · Features constitutive models of rock fractures and fracture system characterization methods detaiing their significant impacts on the performance and uncertainty of the DEM models
Download or read book Mechanics of Granular Materials An Introduction written by K. Iwashita and published by CRC Press. This book was released on 2020-08-13 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook compiles reports written by about 35 internationally recognized authorities, and covers a range of interests for geotechnical engineers. Topics include: fundamentals for mechanics of granular materials; continuum theory of granular materials; and discrete element approaches.
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).
Download or read book Game Mechanics written by Ernest Adams and published by New Riders. This book was released on 2012-06-18 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This in-depth resource teaches you to craft mechanics that generate challenging, enjoyable, and well-balanced gameplay. You’ll discover at what stages to prototype, test, and implement mechanics in games and learn how to visualize and simulate game mechanics in order to design better games. Along the way, you’ll practice what you’ve learned with hands-on lessons. A free downloadable simulation tool developed by Joris Dormans is also available in order to follow along with exercises in the book in an easy-to-use graphical environment. In Game Mechanics: Advanced Game Design, you’ll learn how to: * Design and balance game mechanics to create emergent gameplay before you write a single line of code. * Visualize the internal economy so that you can immediately see what goes on in a complex game. * Use novel prototyping techniques that let you simulate games and collect vast quantities of gameplay data on the first day of development. * Apply design patterns for game mechanics—from a library in this book—to improve your game designs. * Explore the delicate balance between game mechanics and level design to create compelling, long-lasting game experiences. * Replace fixed, scripted events in your game with dynamic progression systems to give your players a new experience every time they play. "I've been waiting for a book like this for ten years: packed with game design goodness that tackles the science without undermining the art." --Richard Bartle, University of Essex, co-author of the first MMORPG “Game Mechanics: Advanced Game Design by Joris Dormans & Ernest Adams formalizes game grammar quite well. Not sure I need to write a next book now!” -- Raph Koster, author of A Theory of Fun for Game Design.
Download or read book Arithmetic Applied Mathematics written by Donald Greenspan and published by Elsevier. This book was released on 2014-05-09 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arithmetic Applied Mathematics deals with concepts of arithmetic applied mathematics and uses a computer, rather than a continuum, approach to the deterministic theories of particle mechanics. Models of classical physical phenomena are formulated from both Newtonian and special relativistic mechanics using only arithmetic. Definitions of energy and momentum are presented that are identical to those of continuum mechanics. Comprised of nine chapters, this book begins by exploring discrete modeling as it relates to Newtonian mechanics and special relativistic mechanics, paying particular attention to gravity. The reader is then introduced to long-range forces such as gravitation and short-range forces such as molecular attraction and repulsion; the N-body problem; and conservative and non-conservative models of complex physical phenomena. Subsequent chapters focus on the foundational concepts of special relativity; arithmetic special relativistic mechanics in one space dimension and three space dimensions; and Lorentz invariant computations. This monograph will be of interest to students and practitioners in the fields of mathematics and physics.
Download or read book Discrete or Continuous written by Amit Hagar and published by Cambridge University Press. This book was released on 2014-05 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: Novel conceptual analysis, fresh historical perspectives, and concrete physical examples illuminate one of the most thought-provoking topics in physics.
Download or read book Classical Theory written by Paul McEvoy and published by MicroAnalytix. This book was released on 2002 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook explains the theory of local nonequilibrium thermodynamics that is constructed from microscopic particle statistical mechanics. Each thermodynamic quantity is based on a particle analog.
Download or read book Simulation for Cyber Physical Systems Engineering written by José L. Risco Martín and published by Springer Nature. This book was released on 2020-11-07 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive book examines a range of examples, prepared by a diverse group of academic and industry practitioners, which demonstrate how cloud-based simulation is being extensively used across many disciplines, including cyber-physical systems engineering. This book is a compendium of the state of the art in cloud-based simulation that instructors can use to inform the next generation. It highlights the underlying infrastructure, modeling paradigms, and simulation methodologies that can be brought to bear to develop the next generation of systems for a highly connected society. Such systems, aptly termed cyber-physical systems (CPS), are now widely used in e.g. transportation systems, smart grids, connected vehicles, industrial production systems, healthcare, education, and defense. Modeling and simulation (M&S), along with big data technologies, are at the forefront of complex systems engineering research. The disciplines of cloud-based simulation and CPS engineering are evolving at a rapid pace, but are not optimally supporting each other’s advancement. This book brings together these two communities, which already serve multi-disciplinary applications. It provides an overview of the simulation technologies landscape, and of infrastructure pertaining to the use of cloud-based environments for CPS engineering. It covers the engineering, design, and application of cloud simulation technologies and infrastructures applicable for CPS engineering. The contributions share valuable lessons learned from developing real-time embedded and robotic systems deployed through cloud-based infrastructures for application in CPS engineering and IoT-enabled society. The coverage incorporates cloud-based M&S as a medium for facilitating CPS engineering and governance, and elaborates on available cloud-based M&S technologies and their impacts on specific aspects of CPS engineering.
Download or read book Handbook of Discrete and Combinatorial Mathematics written by Kenneth H. Rosen and published by CRC Press. This book was released on 2017-10-19 with total page 1611 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Discrete and Combinatorial Mathematics provides a comprehensive reference volume for mathematicians, computer scientists, engineers, as well as students and reference librarians. The material is presented so that key information can be located and used quickly and easily. Each chapter includes a glossary. Individual topics are covered in sections and subsections within chapters, each of which is organized into clearly identifiable parts: definitions, facts, and examples. Examples are provided to illustrate some of the key definitions, facts, and algorithms. Some curious and entertaining facts and puzzles are also included. Readers will also find an extensive collection of biographies. This second edition is a major revision. It includes extensive additions and updates. Since the first edition appeared in 1999, many new discoveries have been made and new areas have grown in importance, which are covered in this edition.
Download or read book Discrete Mathematics in Statistical Physics written by Martin Loebl and published by Springer Science & Business Media. This book was released on 2010-02-16 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book first describes connections between some basic problems and technics of combinatorics and statistical physics. The discrete mathematics and physics terminology are related to each other. Using the established connections, some exciting activities in one field are shown from a perspective of the other field. The purpose of the book is to emphasize these interactions as a strong and successful tool. In fact, this attitude has been a strong trend in both research communities recently. It also naturally leads to many open problems, some of which seem to be basic. Hopefully, this book will help making these exciting problems attractive to advanced students and researchers.
