Vectors and Rotors

Vectors and Rotors PDF Author: Olaus Henrici
Publisher:
ISBN:
Category : Graphic statics
Languages : en
Pages : 236

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Vectors and Rotors

Vectors and Rotors PDF Author: Olaus Henrici
Publisher:
ISBN:
Category : Graphic statics
Languages : en
Pages : 236

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Graphics

Graphics PDF Author: Robert Henry Smith
Publisher:
ISBN:
Category : Graphic methods
Languages : en
Pages : 316

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Mathematical Papers

Mathematical Papers PDF Author: William Kingdon Clifford
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 776

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Nature

Nature PDF Author: Sir Norman Lockyer
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 696

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Geometric Algebra for Computer Science

Geometric Algebra for Computer Science PDF Author: Leo Dorst
Publisher: Elsevier
ISBN: 0080553109
Category : Juvenile Nonfiction
Languages : en
Pages : 664

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Book Description
Until recently, almost all of the interactions between objects in virtual 3D worlds have been based on calculations performed using linear algebra. Linear algebra relies heavily on coordinates, however, which can make many geometric programming tasks very specific and complex-often a lot of effort is required to bring about even modest performance enhancements. Although linear algebra is an efficient way to specify low-level computations, it is not a suitable high-level language for geometric programming. Geometric Algebra for Computer Science presents a compelling alternative to the limitations of linear algebra. Geometric algebra, or GA, is a compact, time-effective, and performance-enhancing way to represent the geometry of 3D objects in computer programs. In this book you will find an introduction to GA that will give you a strong grasp of its relationship to linear algebra and its significance for your work. You will learn how to use GA to represent objects and perform geometric operations on them. And you will begin mastering proven techniques for making GA an integral part of your applications in a way that simplifies your code without slowing it down. * The first book on Geometric Algebra for programmers in computer graphics and entertainment computing * Written by leaders in the field providing essential information on this new technique for 3D graphics * This full colour book includes a website with GAViewer, a program to experiment with GA

Rotor and Structural Dynamics of Turbomachinery

Rotor and Structural Dynamics of Turbomachinery PDF Author: Raj Subbiah
Publisher: Springer
ISBN: 331973296X
Category : Technology & Engineering
Languages : en
Pages : 306

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Book Description
This book provides engineers and scientists with practical fundamentals for turbomachinery design. It presents a detailed analysis of existing procedures for the analysis of rotor and structure dynamics, while keeping mathematical equations to a minimum. Specific terminologies are used for rotors and structures, respectively, allowing the readers to clearly distinguish between the two. Further, the book describes the essential concepts needed to understand rotor failure modes due to lateral and torsional oscillations. It guides the reader from simple single-degree-of-freedom models to the most complex multi-degree-of-freedom systems, and provides useful information concerning steel pedestal stiffness degradation and other structural issues. Fluid-film bearing types and their dynamical behavior are extensively covered and discussed in the context of various turbomachinery applications. The book also discusses shaft alignment and rotor balancing from a practical point of view, providing readers with essential information to help them solve practical problems. As the main body of the book focuses on the diagnostics and description of case studies addressing the most pressing practical issues, together with their successful solutions, it offers a valuable reference guide, helping field engineers manage day-to-day issues with turbomachinery.

Applications of Geometric Algebra in Computer Science and Engineering

Applications of Geometric Algebra in Computer Science and Engineering PDF Author: Leo Dorst
Publisher: Springer Science & Business Media
ISBN: 146120089X
Category : Mathematics
Languages : en
Pages : 479

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Book Description
Geometric algebra has established itself as a powerful and valuable mathematical tool for solving problems in computer science, engineering, physics, and mathematics. The articles in this volume, written by experts in various fields, reflect an interdisciplinary approach to the subject, and highlight a range of techniques and applications. Relevant ideas are introduced in a self-contained manner and only a knowledge of linear algebra and calculus is assumed. Features and Topics: * The mathematical foundations of geometric algebra are explored * Applications in computational geometry include models of reflection and ray-tracing and a new and concise characterization of the crystallographic groups * Applications in engineering include robotics, image geometry, control-pose estimation, inverse kinematics and dynamics, control and visual navigation * Applications in physics include rigid-body dynamics, elasticity, and electromagnetism * Chapters dedicated to quantum information theory dealing with multi- particle entanglement, MRI, and relativistic generalizations Practitioners, professionals, and researchers working in computer science, engineering, physics, and mathematics will find a wide range of useful applications in this state-of-the-art survey and reference book. Additionally, advanced graduate students interested in geometric algebra will find the most current applications and methods discussed.

Vectors and Vector Diagrams

Vectors and Vector Diagrams PDF Author: William Cramp
Publisher:
ISBN:
Category : Electric circuits
Languages : en
Pages : 280

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Rotor Systems

Rotor Systems PDF Author: Rajiv Tiwari
Publisher: CRC Press
ISBN: 1351863649
Category : Science
Languages : en
Pages : 1091

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Book Description
The purpose of this book is to give a basic understanding of rotor dynamics phenomena with the help of simple rotor models and subsequently, the modern analysis methods for real life rotor systems. This background will be helpful in the identification of rotor-bearing system parameters and its use in futuristic model-based condition monitoring and, fault diagnostics and prognostics. The book starts with introductory material for finite element methods and moves to linear and non-linear vibrations, continuous systems, vibration measurement techniques, signal processing and error analysis, general identification techniques in engineering systems, and MATLAB analysis of simple rotors. Key Features: • Covers both transfer matrix methods (TMM) and finite element methods (FEM) • Discusses transverse and torsional vibrations • Includes worked examples with simplicity of mathematical background and a modern numerical method approach • Explores the concepts of instability analysis and dynamic balancing • Provides a basic understanding of rotor dynamics phenomena with the help of simple rotor models including modern analysis methods for real life rotor systems.

Electrical Machines

Electrical Machines PDF Author: Slobodan N. Vukosavic
Publisher: Springer Science & Business Media
ISBN: 1461404002
Category : Technology & Engineering
Languages : en
Pages : 666

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Book Description
Electrical Machines primarily covers the basic functionality and the role of electrical machines in their typical applications. The effort of applying coordinate transforms is justified by obtaining a more intuitive, concise and easy-to-use model. In this textbook, mathematics is reduced to a necessary minimum, and priority is given to bringing up the system view and explaining the use and external characteristics of machines on their electrical and mechanical ports. Covering the most relevant concepts relating to machine size, torque and power, the author explains the losses and secondary effects, outlining cases and conditions in which some secondary phenomena are neglected. While the goal of developing and using machine mathematical models, equivalent circuits and mechanical characteristics persists through the book, the focus is kept on physical insight of electromechanical conversion process. Details such as the slot shape and the disposition of permanent magnets and their effects on the machine parameters and performance are also covered.