Rigid Body as a Constrained System PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Rigid Body as a Constrained System PDF full book. Access full book title Rigid Body as a Constrained System by Alexei A. Deriglazov. Download full books in PDF and EPUB format.
Author: Alexei A. Deriglazov
Publisher: Cambridge Scholars Publishing
ISBN: 1036412881
Category : Mathematics
Languages : en
Pages : 200
Get Book Here
Book Description
This book presents the dynamics of spinning bodies, the most confusing topic in Classical Mechanics, using both Lagrangian and Hamiltonian formulations. Choosing the variational problem as a sole starting point, it treats the rigid body as a system of particles with holonomic constraints within the standard methods of classical mechanics, eliminating the need for additional postulates. All basic quantities, equations, and integrals of motion are derived systematically. The rotation matrix, central to the formalism, is the main focus. The reader should find this approach more simple, transparent, and convincing than the traditional presentations. Chapter 2 covers the theory, while subsequent chapters apply the formalism to motions under external forces. Issues of integrability and many cases of solutions in elementary functions are presented. This book is suitable for undergraduate and graduate students familiar with classical mechanics.
Author: Alexei A. Deriglazov
Publisher: Cambridge Scholars Publishing
ISBN: 1036412881
Category : Mathematics
Languages : en
Pages : 200
Get Book Here
Book Description
This book presents the dynamics of spinning bodies, the most confusing topic in Classical Mechanics, using both Lagrangian and Hamiltonian formulations. Choosing the variational problem as a sole starting point, it treats the rigid body as a system of particles with holonomic constraints within the standard methods of classical mechanics, eliminating the need for additional postulates. All basic quantities, equations, and integrals of motion are derived systematically. The rotation matrix, central to the formalism, is the main focus. The reader should find this approach more simple, transparent, and convincing than the traditional presentations. Chapter 2 covers the theory, while subsequent chapters apply the formalism to motions under external forces. Issues of integrability and many cases of solutions in elementary functions are presented. This book is suitable for undergraduate and graduate students familiar with classical mechanics.
Author: Joaquim A. Batlle
Publisher: Cambridge University Press
ISBN: 1108479073
Category : Science
Languages : en
Pages : 297
Get Book Here
Book Description
A rigorous analysis and description of general motion in mechanical systems, which includes over 400 figures illustrating every concept, and a large collection of useful exercises. Ideal for students studying mechanical engineering, and as a reference for graduate students and researchers.
Author: Patrick J. Rabier
Publisher: SIAM
ISBN: 9780898719536
Category : Mathematics
Languages : en
Pages : 144
Get Book Here
Book Description
Several issues are investigated in depth to provide a sound and complete justification of the DAE model. These issues include the development of a generalized Gauss principle of least constraint, a study of the effect of the failure of an important full-rank condition, and a precise characterization of the state spaces. In particular, when the mentioned full-rank condition is not satisfied, this book shows how a new set of equivalent constraints can be constructed in a completely intrinsic way, where, in general, these new constraints comply with the full-rank requirement.
Author: Kevin M. Lynch
Publisher: Cambridge University Press
ISBN: 1107156300
Category : Computers
Languages : en
Pages : 545
Get Book Here
Book Description
A modern and unified treatment of the mechanics, planning, and control of robots, suitable for a first course in robotics.
Author: Farid Amirouche
Publisher: Springer Science & Business Media
ISBN: 0817644067
Category : Technology & Engineering
Languages : en
Pages : 692
Get Book Here
Book Description
This textbook – a result of the author’s many years of research and teaching – brings together diverse concepts of the versatile tool of multibody dynamics, combining the efforts of many researchers in the field of mechanics.
Author: Sergio Pissanetzky
Publisher: SciControls.com
ISBN: 0976277514
Category : Computers
Languages : en
Pages : 370
Get Book Here
Book Description
Presented here is an integrated approach - perhaps the first in its class - of advanced Rigid Body Kinematics with the object-oriented C++ code that implements the rigid body objects and brings them to life. Thinking in terms of objects is the natural way of thinking. The concept of object has existed in Science for centuries. More recently, objects were introduced in Computation, and object-oriented programming languages were created. Yet the concept of object is not routinely used when teaching Science, and the idea that objects can come alive in a computer has not yet been fully exploited.This book is Volume 2 of the multi-volume series "Articulated Robot Mechanics and C++ Code". Volume 1 is "Vectors, Matrices and C++ Code", published in 2004. Volumes to be published are "Articulated Robot Dynamics and C++ Code", and "Articulated Robot Control and C++ Code". More volumes may be added in the future.This book integrates advanced rigid body Kinematics with object-oriented concepts and the actual code implementing them. It is both a textbook and a software release, complete with software documentation and the mathematical background that supports the code. The source code is included by download and readers can use it for their own programming. The reader will need a basic knowledge of Physics, particularly Mechanics, and Algebra and Trigonometry. Familiarity with C++ is not required because a course on C++ is included in Volume 1. You should read this book if you are a developer who needs an advanced background in rigid body Kinematics, a student of Physics or Engineering who needs to learn C++, a scientist who needs to write advanced code but can't waste time developing the basics, or you just need ready-to-use C++ source code for your project.
Author: Roy Featherstone
Publisher: Springer
ISBN: 1489975608
Category : Education
Languages : en
Pages : 276
Get Book Here
Book Description
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.
Author: Ernesto Olguín Díaz
Publisher: Springer
ISBN: 3030042758
Category : Technology & Engineering
Languages : en
Pages : 488
Get Book Here
Book Description
This book offers an excellent complementary text for an advanced course on the modelling and dynamic analysis of multi-body mechanical systems, and provides readers an in-depth understanding of the modelling and control of robots. While the Lagrangian formulation is well suited to multi-body systems, its physical meaning becomes paradoxically complicated for single rigid bodies. Yet the most advanced numerical methods rely on the physics of these single rigid bodies, whose dynamic is then given among multiple formulations by the set of the Newton–Euler equations in any of their multiple expression forms. This book presents a range of simple tools to express in succinct form the dynamic equation for the motion of a single rigid body, either free motion (6-dimension), such as that of any free space navigation robot or constrained motion (less than 6-dimension), such as that of ground or surface vehicles. In the process, the book also explains the equivalences of (and differences between) the different formulations.
Author: Hubert Hahn
Publisher: Springer Science & Business Media
ISBN: 3662048310
Category : Technology & Engineering
Languages : en
Pages : 345
Get Book Here
Book Description
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.
Author: Murilo G. Coutinho
Publisher: Springer Science & Business Media
ISBN: 1447144163
Category : Computers
Languages : en
Pages : 402
Get Book Here
Book Description
This book introduces the techniques needed to produce realistic simulations and animations of particle and rigid-body systems. The text focuses on both the theoretical and practical aspects of developing and implementing physically based dynamic-simulation engines. Each chapter examines numerous algorithms, describing their design and analysis in an accessible manner, without sacrificing depth of coverage or mathematical rigor. Features: examines the problem of computing an hierarchical representation of the geometric description of each simulated object, as well as the simulated world; discusses the use of discrete and continuous collision detection to handle thin or fast-moving objects; describes the computational techniques needed for determining all impulsive and contact forces between bodies with multiple simultaneous collisions and contacts; presents techniques that can be used to dynamically simulate articulated rigid bodies; concludes each chapter with exercises.
