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Rigid Body Dynamics Algorithms

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Release : 2014-11-10
Genre : Education
Kind : eBook
Book Rating : 608/5 ( reviews)

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Book Synopsis Rigid Body Dynamics Algorithms by : Roy Featherstone

Download or read book Rigid Body Dynamics Algorithms written by Roy Featherstone. This book was released on 2014-11-10. Available in PDF, EPUB and Kindle. Book excerpt: Rigid Body Dynamics Algorithms presents the subject of computational rigid-body dynamics through the medium of spatial 6D vector notation. It explains how to model a rigid-body system and how to analyze it, and it presents the most comprehensive collection of the best rigid-body dynamics algorithms to be found in a single source. The use of spatial vector notation greatly reduces the volume of algebra which allows systems to be described using fewer equations and fewer quantities. It also allows problems to be solved in fewer steps, and solutions to be expressed more succinctly. In addition algorithms are explained simply and clearly, and are expressed in a compact form. The use of spatial vector notation facilitates the implementation of dynamics algorithms on a computer: shorter, simpler code that is easier to write, understand and debug, with no loss of efficiency.

Advanced Dynamics

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Author :
Release : 2011-02-23
Genre : Technology & Engineering
Kind : eBook
Book Rating : 137/5 ( reviews)

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Book Synopsis Advanced Dynamics by : Reza N. Jazar

Download or read book Advanced Dynamics written by Reza N. Jazar. This book was released on 2011-02-23. Available in PDF, EPUB and Kindle. Book excerpt: A thorough understanding of rigid body dynamics as it relates to modern mechanical and aerospace systems requires engineers to be well versed in a variety of disciplines. This book offers an all-encompassing view by interconnecting a multitude of key areas in the study of rigid body dynamics, including classical mechanics, spacecraft dynamics, and multibody dynamics. In a clear, straightforward style ideal for learners at any level, Advanced Dynamics builds a solid fundamental base by first providing an in-depth review of kinematics and basic dynamics before ultimately moving forward to tackle advanced subject areas such as rigid body and Lagrangian dynamics. In addition, Advanced Dynamics: Is the only book that bridges the gap between rigid body, multibody, and spacecraft dynamics for graduate students and specialists in mechanical and aerospace engineering Contains coverage of special applications that highlight the different aspects of dynamics and enhances understanding of advanced systems across all related disciplines Presents material using the author's own theory of differentiation in different coordinate frames, which allows for better understanding and application by students and professionals Both a refresher and a professional resource, Advanced Dynamics leads readers on a rewarding educational journey that will allow them to expand the scope of their engineering acumen as they apply a wide range of applications across many different engineering disciplines.

Rigid Body Dynamics of Mechanisms

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Release : 2013-11-11
Genre : Technology & Engineering
Kind : eBook
Book Rating : 310/5 ( reviews)

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Book Synopsis Rigid Body Dynamics of Mechanisms by : Hubert Hahn

Download or read book Rigid Body Dynamics of Mechanisms written by Hubert Hahn. This book was released on 2013-11-11. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents an introduction into basic mechanical aspects of mechatronic systems for students, researchers and engineers from industrial practice. An overview over the theoretical background of rigid body mechanics is given as well as a systematic approach for deriving and solving model equations of general rigid body mechanisms in the form of differential-algebraic equations (DAE). The objective of this book is to prepare the reader for being capable of efficiently handling and applying general purpose rigid body programs to complex mechanisms. The reader will be able to set up symbolic mathematical models of planar and spatial mechanisms in DAE-form for computer simulations, often required in dynamic analysis and in control design.

Rigid Body Mechanics

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Release : 2008-07-11
Genre : Science
Kind : eBook
Book Rating : 821/5 ( reviews)

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Book Synopsis Rigid Body Mechanics by : William B. Heard

Download or read book Rigid Body Mechanics written by William B. Heard. This book was released on 2008-07-11. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is a modern, concise and focused treatment of the mathematical techniques, physical theories and applications of rigid body mechanics, bridging the gap between the geometric and more classical approaches to the topic. It emphasizes the fundamentals of the subject, stresses the importance of notation, integrates the modern geometric view of mechanics and offers a wide variety of examples -- ranging from molecular dynamics to mechanics of robots and planetary rotational dynamics. The author has unified his presentation such that applied mathematicians, mechanical and astro-aerodynamical engineers, physicists, computer scientists and astronomers can all meet the subject on common ground, despite their diverse applications. * Free solutions manual available for lecturers at www.wiley-vch.de/supplements/

Rigid Body Dynamics

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Author :
Release : 2018-12-03
Genre : Science
Kind : eBook
Book Rating : 978/5 ( reviews)

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Book Synopsis Rigid Body Dynamics by : Alexey Borisov

Download or read book Rigid Body Dynamics written by Alexey Borisov. This book was released on 2018-12-03. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an up-to-date overview of results in rigid body dynamics, including material concerned with the analysis of nonintegrability and chaotic behavior in various related problems. The wealth of topics covered makes it a practical reference for researchers and graduate students in mathematics, physics and mechanics. Contents Rigid Body Equations of Motion and Their Integration The Euler – Poisson Equations and Their Generalizations The Kirchhoff Equations and Related Problems of Rigid Body Dynamics Linear Integrals and Reduction Generalizations of Integrability Cases. Explicit Integration Periodic Solutions, Nonintegrability, and Transition to Chaos Appendix A : Derivation of the Kirchhoff, Poincaré – Zhukovskii, and Four-Dimensional Top Equations Appendix B: The Lie Algebra e(4) and Its Orbits Appendix C: Quaternion Equations and L-A Pair for the Generalized Goryachev – Chaplygin Top Appendix D: The Hess Case and Quantization of the Rotation Number Appendix E: Ferromagnetic Dynamics in a Magnetic Field Appendix F: The Landau – Lifshitz Equation, Discrete Systems, and the Neumann Problem Appendix G: Dynamics of Tops and Material Points on Spheres and Ellipsoids Appendix H: On the Motion of a Heavy Rigid Body in an Ideal Fluid with Circulation Appendix I: The Hamiltonian Dynamics of Self-gravitating Fluid and Gas Ellipsoids

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