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Movement Equations 1

Author: Michel Borel
Publisher: John Wiley & Sons
ISBN: 1119361443
Size: 50.91 MB
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The set of books on Mechanical Engineering and Solid Mechanics, of which this book is the first volume, is an essential tool for those looking to develop a rigorous knowledge of the discipline, whether students, professionals (in search of an approach to a problem they are dealing with), or anyone else interested. This volume deals with the elements required for establishing the equations of motion when dealing with solid bodies. Chapter 1 focuses on the systems of reference used to locate solid bodies relative to the observer, and demonstrates how to describe their position, orientation, and evolution during their motion. Chapter 2 introduces descriptors of motion such as velocity and acceleration, and develops the concept of torsor notation in relation to these descriptors. Finally, Chapter 3 concerns the notions of mass and inertia, as well as the kinetic torsor and dynamic torsor which consolidate the kinematic and kinetic aspects in a single concept.

Movement Equations 3

Author: Michel Borel
Publisher: John Wiley & Sons
ISBN: 1119467039
Size: 32.18 MB
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This volume is the focal point of the work undertaken in the previous volumes of this set of books: the statement of the fundamental principle of the dynamics whose implementation, according to two paths whose choice depends on the problem to be treated, leads to equations of motion. In order to achieve this, it is treated first of all in the context of solids in their environment, as a prerequisite for the formulation of the fundamental principle. Then, in addition to its use in some exercises, the approach is illustrated by three particular cases. The first is an example where it is developed end-to-end and addresses the two approaches that lead to the equations of motion. The two other examples deal with two classical but important subjects, the movement of the Earth according to the hypotheses that can be stated about it, and Foucault’s pendulum.

Kinematic And Kinetic Principles

Author: John E. Hurtado
Publisher: Lulu.com
ISBN: 1300126221
Size: 11.22 MB
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This material is suitable for a one-semester, graduate-level dynamics course. Topics include vector and tensor kinematic principles; point mass kinematics; Newton's principles for a point mass; rigid body attitude and kinematics; rigid body dynamics; constant mass continuous systems; analytical kinematics; analytical dynamics; and dynamic modeling of continuous systems. The material is presented in a novel and unique 1-page, 1-topic format. Many key principles are developed in a new and rigorous way, and careful attention is paid to establish a consistent and unambiguous notation.

Mechanisms And Machines Kinematics Dynamics And Synthesis

Author: Michael M. Stanisic
Publisher: Cengage Learning
ISBN: 1305177940
Size: 71.88 MB
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MECHANISMS AND MACHINES: KINEMATICS, DYNAMICS, AND SYNTHESIS has been designed to serve as a core textbook for the mechanisms and machines course, targeting junior level mechanical engineering students. The book is written with the aim of providing a complete, yet concise, text that can be covered in a single-semester course. The primary goal of the text is to introduce students to the synthesis and analysis of planar mechanisms and machines, using a method well suited to computer programming, known as the Vector Loop Method. Author Michael Stanisic's approach of teaching synthesis first, and then going into analysis, will enable students to actually grasp the mathematics behind mechanism design. The book uses the vector loop method and kinematic coefficients throughout the text, and exhibits a seamless continuity in presentation that is a rare find in engineering texts. The multitude of examples in the book cover a large variety of problems and delineate an excellent problem solving methodology. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Analytische Dynamik Der Punkte Und Starren K Rper

Author: E. T. Whittaker
Publisher: Springer-Verlag
ISBN: 3662267144
Size: 34.66 MB
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Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

Kinetics Of Human Motion

Author: Vladimir M. Zatsiorsky
Publisher: Human Kinetics
ISBN: 9780736037785
Size: 21.27 MB
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Written by the foremost authority on the subject, Kinetics of Human Motion is the sequel and companion to the 1998 text Kinematics of Human Motion. World-renowned biomechanics expert Vladimir Zatsiorsky has written Kinetics of Human Motion to be an indispensable reference for human movement professionals. Although biomechanical analysis of human motion can be conducted on different structural levels, this book focuses on the examination of forces that create entire body motion. By examining the forces that create entire body motion, the text develops the biomechanical knowledge of the reader. Kinetics of Human Motion is divided into six chapters that cover external contact forces, statics, kinematic chains, inertial characteristics of the body, dynamics of human motion and work, and energy in human motion. Readers will learn about the following: Three-dimensional analysis of forces and movements - Kinetics of multilink chains - Stability of equilibrium - Inertial properties of the human body - Joint torques and forces - Inverse problem of dynamics This text is advanced and assumes some knowledge of algebra and calculus, yet the emphasis is clearly on understanding physical concepts, not mathematical formulae. The book features helpful refreshers of basic mathematical concepts and kinesiology and other movement-related topics to facilitate reader comprehension of the topics presented. Kinetics of Human Motion is packed with illustrations and equations to help clarify and reemphasize the main concepts; it also contains review problems, applied research problems, end-of-chapter questions, and references throughout. For a more rounded understanding of the concepts, each chapter includes "From the Literature" elements, which support the theories discussed while offering other viewpoints. This is the second book in a three-book series that will cover the entire range of biomechanics of human motion. Kinematics of Human Motion was the first book; this book, Kinetics of Human Motion, covers the analysis of entire body motion; the muscle biomechanics will be covered in the third volume of the series.

Kinematics Of Human Motion

Author: Vladimir M. Zatsiorsky
Publisher: Human Kinetics
ISBN: 9780880116763
Size: 13.29 MB
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"This book is the first major text on the kinematics of human motion and is written by one of the world's leading authorities on the subject. ... While this advanced book assumes a knowledge of calculus and matrix algebra, the emphasis is on explaining movement concepts, not mathematical formulae. The text features 23 refreshers of the basic mathematical concepts and many practical examples. The book is well illustrated and clearly written as the author skillfully integrates mechanical models with biological experiments." -- book cover.

Principles Of Engineering Mechanics

Author: Millard F. Beatty Jr.
Publisher: Springer Science & Business Media
ISBN: 9780306421310
Size: 53.86 MB
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Separation of the elements of classical mechanics into kinematics and dynamics is an uncommon tutorial approach, but the author uses it to advantage in this two-volume set. Students gain a mastery of kinematics first – a solid foundation for the later study of the free-body formulation of the dynamics problem. A key objective of these volumes, which present a vector treatment of the principles of mechanics, is to help the student gain confidence in transforming problems into appropriate mathematical language that may be manipulated to give useful physical conclusions or specific numerical results. In the first volume, the elements of vector calculus and the matrix algebra are reviewed in appendices. Unusual mathematical topics, such as singularity functions and some elements of tensor analysis, are introduced within the text. A logical and systematic building of well-known kinematic concepts, theorems, and formulas, illustrated by examples and problems, is presented offering insights into both fundamentals and applications. Problems amplify the material and pave the way for advanced study of topics in mechanical design analysis, advanced kinematics of mechanisms and analytical dynamics, mechanical vibrations and controls, and continuum mechanics of solids and fluids. Volume I of Principles of Engineering Mechanics provides the basis for a stimulating and rewarding one-term course for advanced undergraduate and first-year graduate students specializing in mechanics, engineering science, engineering physics, applied mathematics, materials science, and mechanical, aerospace, and civil engineering. Professionals working in related fields of applied mathematics will find it a practical review and a quick reference for questions involving basic kinematics.

Fundamentals Of Kinematics And Dynamics Of Machines And Mechanisms

Author: Oleg Vinogradov
Publisher: CRC Press
ISBN: 9781420042337
Size: 48.86 MB
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The study of the kinematics and dynamics of machines lies at the very core of a mechanical engineering background. Although tremendous advances have been made in the computational and design tools now available, little has changed in the way the subject is presented, both in the classroom and in professional references. Fundamentals of Kinematics and Dynamics of Machines and Mechanisms brings the subject alive and current. The author's careful integration of Mathematica software gives readers a chance to perform symbolic analysis, to plot the results, and most importantly, to animate the motion. They get to "play" with the mechanism parameters and immediately see their effects. A CD-ROM packaged with the book contains Mathematica-based programs for suggested design projects. As useful as Mathematica is, however, a tool should not interfere with but enhance one's grasp of the concepts and the development of analytical skills. The author ensures this with his emphasis on the understanding and application of basic theoretical principles, unified approach to the analysis of planar mechanisms, and introduction to vibrations and rotordynamics.

Fundamentals Of Glacier Dynamics Second Edition

Author: C.J. van der Veen
Publisher: CRC Press
ISBN: 1439835675
Size: 47.36 MB
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Measuring, monitoring, and modeling technologies and methods changed the field of glaciology significantly in the 14 years since the publication of the first edition of Fundamentals of Glacier Dynamics. Designed to help readers achieve the basic level of understanding required to describe and model the flow and dynamics of glaciers, this second edition provides a theoretical framework for quantitatively interpreting glacier changes and for developing models of glacier flow. See What’s New in the Second Edition: Streamlined organization focusing on theory, model development, and data interpretation Introductory chapter reviews the most important mathematical tools used throughout the remainder of the book New chapter on fracture mechanics and iceberg calving Consolidated chapter covers applications of the force-budget technique using measurements of surface velocity to locate mechanical controls on glacier flow The latest developments in theory and modeling, including the addition of a discussion of exact time-dependent similarity solutions that can be used for verification of numerical models The book emphasizes developing procedures and presents derivations leading to frequently used equations step by step to allow readers to grasp the mathematical details as well as physical approximations involved without having to consult the original works. As a result, readers will have gained the understanding needed to apply similar techniques to somewhat different applications. Extensively updated with new material and focusing more on presenting the theoretical foundations of glacier flow, the book provides the tools for model validation in the form of analytical steady-state and time-evolving solutions. It provides the necessary background and theoretical foundation for developing more realistic ice-sheet models, which is essential for better integration of data and observations as well as for better model development.