Author: L. Huang
Publisher: Springer
ISBN: 3319450417
Category : Technology & Engineering
Languages : en
Pages : 197
Book Description
This updated second edition broadens the explanation of rotational kinematics and dynamics — the most important aspect of rigid body motion in three-dimensional space and a topic of much greater complexity than linear motion. It expands treatment of vector and matrix, and includes quaternion operations to describe and analyze rigid body motion which are found in robot control, trajectory planning, 3D vision system calibration, and hand-eye coordination of robots in assembly work, etc. It features updated treatments of concepts in all chapters and case studies. The textbook retains its comprehensiveness in coverage and compactness in size, which make it easily accessible to the readers from multidisciplinary areas who want to grasp the key concepts of rigid body mechanics which are usually scattered in multiple volumes of traditional textbooks. Theoretical concepts are explained through examples taken from across engineering disciplines and links to applications and more advanced courses (e.g. industrial robotics) are provided. Ideal for students and practitioners, this book provides readers with a clear path to understanding rigid body mechanics and its significance in numerous sub-fields of mechanical engineering and related areas.
A Concise Introduction to Mechanics of Rigid Bodies
Author: L. Huang
Publisher: Springer
ISBN: 3319450417
Category : Technology & Engineering
Languages : en
Pages : 197
Book Description
This updated second edition broadens the explanation of rotational kinematics and dynamics — the most important aspect of rigid body motion in three-dimensional space and a topic of much greater complexity than linear motion. It expands treatment of vector and matrix, and includes quaternion operations to describe and analyze rigid body motion which are found in robot control, trajectory planning, 3D vision system calibration, and hand-eye coordination of robots in assembly work, etc. It features updated treatments of concepts in all chapters and case studies. The textbook retains its comprehensiveness in coverage and compactness in size, which make it easily accessible to the readers from multidisciplinary areas who want to grasp the key concepts of rigid body mechanics which are usually scattered in multiple volumes of traditional textbooks. Theoretical concepts are explained through examples taken from across engineering disciplines and links to applications and more advanced courses (e.g. industrial robotics) are provided. Ideal for students and practitioners, this book provides readers with a clear path to understanding rigid body mechanics and its significance in numerous sub-fields of mechanical engineering and related areas.
Publisher: Springer
ISBN: 3319450417
Category : Technology & Engineering
Languages : en
Pages : 197
Book Description
This updated second edition broadens the explanation of rotational kinematics and dynamics — the most important aspect of rigid body motion in three-dimensional space and a topic of much greater complexity than linear motion. It expands treatment of vector and matrix, and includes quaternion operations to describe and analyze rigid body motion which are found in robot control, trajectory planning, 3D vision system calibration, and hand-eye coordination of robots in assembly work, etc. It features updated treatments of concepts in all chapters and case studies. The textbook retains its comprehensiveness in coverage and compactness in size, which make it easily accessible to the readers from multidisciplinary areas who want to grasp the key concepts of rigid body mechanics which are usually scattered in multiple volumes of traditional textbooks. Theoretical concepts are explained through examples taken from across engineering disciplines and links to applications and more advanced courses (e.g. industrial robotics) are provided. Ideal for students and practitioners, this book provides readers with a clear path to understanding rigid body mechanics and its significance in numerous sub-fields of mechanical engineering and related areas.
FLUID MECHANICS : A CONCISE INTRODUCTION
Author: PANI, BIDYA SAGAR
Publisher: PHI Learning Pvt. Ltd.
ISBN: 8120352181
Category : Technology & Engineering
Languages : en
Pages : 362
Book Description
This is a comprehensive and accessible text that discusses all the aspects of fluid mechanics in concise manner and easy to understand language. The contents of the book have been designed to match with the exact needs of the students. The book has attempted to provide linkages between the different fundamental concepts of fluid mechanics. It gives a holistic knowledge of the logic behind each of them through illustrations and simple worked-out examples. These features will help to approach any problem in a systematic way based on the theory learnt. After the end of each chapter, students will have a chance to review a summary of the presented features. Chapter-end problems have been carefully selected to supplement the theoretical knowledge. The book contains a list of important references at the end of each chapter, to serve as a guide to those students and teachers who wish to delve deeper into the subject matter.
Publisher: PHI Learning Pvt. Ltd.
ISBN: 8120352181
Category : Technology & Engineering
Languages : en
Pages : 362
Book Description
This is a comprehensive and accessible text that discusses all the aspects of fluid mechanics in concise manner and easy to understand language. The contents of the book have been designed to match with the exact needs of the students. The book has attempted to provide linkages between the different fundamental concepts of fluid mechanics. It gives a holistic knowledge of the logic behind each of them through illustrations and simple worked-out examples. These features will help to approach any problem in a systematic way based on the theory learnt. After the end of each chapter, students will have a chance to review a summary of the presented features. Chapter-end problems have been carefully selected to supplement the theoretical knowledge. The book contains a list of important references at the end of each chapter, to serve as a guide to those students and teachers who wish to delve deeper into the subject matter.
Applied Impact Mechanics
Author: C. Lakshmana Rao
Publisher: John Wiley & Sons
ISBN: 1119241855
Category : Science
Languages : en
Pages : 382
Book Description
This book is intended to help the reader understand impact phenomena as a focused application of diverse topics such as rigid body dynamics, structural dynamics, contact and continuum mechanics, shock and vibration, wave propagation and material modelling. It emphasizes the need for a proper assessment of sophisticated experimental/computational tools promoted widely in contemporary design. A unique feature of the book is its presentation of several examples and exercises to aid further understanding of the physics and mathematics of impact process from first principles, in a way that is simple to follow.
Publisher: John Wiley & Sons
ISBN: 1119241855
Category : Science
Languages : en
Pages : 382
Book Description
This book is intended to help the reader understand impact phenomena as a focused application of diverse topics such as rigid body dynamics, structural dynamics, contact and continuum mechanics, shock and vibration, wave propagation and material modelling. It emphasizes the need for a proper assessment of sophisticated experimental/computational tools promoted widely in contemporary design. A unique feature of the book is its presentation of several examples and exercises to aid further understanding of the physics and mathematics of impact process from first principles, in a way that is simple to follow.
A Treatise on the Analytical Dynamics of Particles and Rigid Bodies
Author: Edmund Taylor Whittaker
Publisher:
ISBN:
Category : Dynamics
Languages : en
Pages : 416
Book Description
Publisher:
ISBN:
Category : Dynamics
Languages : en
Pages : 416
Book Description
A Concise Introduction to Geometric Numerical Integration
Author: Sergio Blanes
Publisher: CRC Press
ISBN: 1482263440
Category : Mathematics
Languages : en
Pages : 233
Book Description
Discover How Geometric Integrators Preserve the Main Qualitative Properties of Continuous Dynamical Systems A Concise Introduction to Geometric Numerical Integration presents the main themes, techniques, and applications of geometric integrators for researchers in mathematics, physics, astronomy, and chemistry who are already familiar with numerical tools for solving differential equations. It also offers a bridge from traditional training in the numerical analysis of differential equations to understanding recent, advanced research literature on numerical geometric integration. The book first examines high-order classical integration methods from the structure preservation point of view. It then illustrates how to construct high-order integrators via the composition of basic low-order methods and analyzes the idea of splitting. It next reviews symplectic integrators constructed directly from the theory of generating functions as well as the important category of variational integrators. The authors also explain the relationship between the preservation of the geometric properties of a numerical method and the observed favorable error propagation in long-time integration. The book concludes with an analysis of the applicability of splitting and composition methods to certain classes of partial differential equations, such as the Schrödinger equation and other evolution equations. The motivation of geometric numerical integration is not only to develop numerical methods with improved qualitative behavior but also to provide more accurate long-time integration results than those obtained by general-purpose algorithms. Accessible to researchers and post-graduate students from diverse backgrounds, this introductory book gets readers up to speed on the ideas, methods, and applications of this field. Readers can reproduce the figures and results given in the text using the MATLAB® programs and model files available online.
Publisher: CRC Press
ISBN: 1482263440
Category : Mathematics
Languages : en
Pages : 233
Book Description
Discover How Geometric Integrators Preserve the Main Qualitative Properties of Continuous Dynamical Systems A Concise Introduction to Geometric Numerical Integration presents the main themes, techniques, and applications of geometric integrators for researchers in mathematics, physics, astronomy, and chemistry who are already familiar with numerical tools for solving differential equations. It also offers a bridge from traditional training in the numerical analysis of differential equations to understanding recent, advanced research literature on numerical geometric integration. The book first examines high-order classical integration methods from the structure preservation point of view. It then illustrates how to construct high-order integrators via the composition of basic low-order methods and analyzes the idea of splitting. It next reviews symplectic integrators constructed directly from the theory of generating functions as well as the important category of variational integrators. The authors also explain the relationship between the preservation of the geometric properties of a numerical method and the observed favorable error propagation in long-time integration. The book concludes with an analysis of the applicability of splitting and composition methods to certain classes of partial differential equations, such as the Schrödinger equation and other evolution equations. The motivation of geometric numerical integration is not only to develop numerical methods with improved qualitative behavior but also to provide more accurate long-time integration results than those obtained by general-purpose algorithms. Accessible to researchers and post-graduate students from diverse backgrounds, this introductory book gets readers up to speed on the ideas, methods, and applications of this field. Readers can reproduce the figures and results given in the text using the MATLAB® programs and model files available online.
Rigid Body Mechanics
Author: William B. Heard
Publisher: John Wiley & Sons
ISBN: 3527618821
Category : Science
Languages : en
Pages : 262
Book Description
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/
Publisher: John Wiley & Sons
ISBN: 3527618821
Category : Science
Languages : en
Pages : 262
Book Description
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/
An Elementary Treatise on Theoretical Mechanics
Author: Sir James H. Jeans
Publisher: Courier Corporation
ISBN: 0486174697
Category : Science
Languages : en
Pages : 381
Book Description
In addition to being among the twentieth century’s major scientific figures, Sir James Jeans (1877–1946) was also one of the greatest modern science expositors. His classic introduction to mechanics endures as a clear and concise presentation of first principles. Although brief, it encompasses a remarkably wide selection of topics. Its subjects include rest and motion, force and the laws of motion, forces acting on a single particle, statics of systems of particles, statics of rigid bodies, center of gravity, work, motion of a particle under constant forces, motion of systems of particles, motion of a particle under a variable force, motion of rigid bodies, and generalized coordinates. Within each chapter, the author carefully explains the most elementary concepts (such as velocity, acceleration, Newton’s laws, friction, moments, and kinetic energy), and he illustrates them with examples. Ideal for beginning physics students or for more advanced readers in need of refreshment, the text emphasizes the fundamental physical principles rather than mathematics or applications. So clearly written that it can be read and understood outside the classroom, it features hundreds of fully worked illustrative examples and test exercises.
Publisher: Courier Corporation
ISBN: 0486174697
Category : Science
Languages : en
Pages : 381
Book Description
In addition to being among the twentieth century’s major scientific figures, Sir James Jeans (1877–1946) was also one of the greatest modern science expositors. His classic introduction to mechanics endures as a clear and concise presentation of first principles. Although brief, it encompasses a remarkably wide selection of topics. Its subjects include rest and motion, force and the laws of motion, forces acting on a single particle, statics of systems of particles, statics of rigid bodies, center of gravity, work, motion of a particle under constant forces, motion of systems of particles, motion of a particle under a variable force, motion of rigid bodies, and generalized coordinates. Within each chapter, the author carefully explains the most elementary concepts (such as velocity, acceleration, Newton’s laws, friction, moments, and kinetic energy), and he illustrates them with examples. Ideal for beginning physics students or for more advanced readers in need of refreshment, the text emphasizes the fundamental physical principles rather than mathematics or applications. So clearly written that it can be read and understood outside the classroom, it features hundreds of fully worked illustrative examples and test exercises.
Rigid Body Dynamics for Space Applications
Author: Vladimir Aslanov
Publisher: Butterworth-Heinemann
ISBN: 0081018746
Category : Technology & Engineering
Languages : en
Pages : 422
Book Description
Rigid Body Dynamics for Space Applications explores the modern problems of spaceflight mechanics, such as attitude dynamics of re-entry and space debris in Earth's atmosphere; dynamics and control of coaxial satellite gyrostats; deployment, dynamics, and control of a tether-assisted return mission of a re-entry capsule; and removal of large space debris by a tether tow. Most space systems can be considered as a system of rigid bodies, with additional elastic and viscoelastic elements and fuel residuals in some cases. This guide shows the nature of the phenomena and explains the behavior of space objects. Researchers working on spacecraft attitude dynamics or space debris removal as well as those in the fields of mechanics, aerospace engineering, and aerospace science will benefit from this book. - Provides a complete treatise of modeling attitude for a range of novel and modern attitude control problems of spaceflight mechanics - Features chapters on the application of rigid body dynamics to atmospheric re-entries, tethered assisted re-entry, and tethered space debris removal - Shows relatively simple ways of constructing mathematical models and analytical solutions describing the behavior of very complex material systems - Uses modern methods of regular and chaotic dynamics to obtain results
Publisher: Butterworth-Heinemann
ISBN: 0081018746
Category : Technology & Engineering
Languages : en
Pages : 422
Book Description
Rigid Body Dynamics for Space Applications explores the modern problems of spaceflight mechanics, such as attitude dynamics of re-entry and space debris in Earth's atmosphere; dynamics and control of coaxial satellite gyrostats; deployment, dynamics, and control of a tether-assisted return mission of a re-entry capsule; and removal of large space debris by a tether tow. Most space systems can be considered as a system of rigid bodies, with additional elastic and viscoelastic elements and fuel residuals in some cases. This guide shows the nature of the phenomena and explains the behavior of space objects. Researchers working on spacecraft attitude dynamics or space debris removal as well as those in the fields of mechanics, aerospace engineering, and aerospace science will benefit from this book. - Provides a complete treatise of modeling attitude for a range of novel and modern attitude control problems of spaceflight mechanics - Features chapters on the application of rigid body dynamics to atmospheric re-entries, tethered assisted re-entry, and tethered space debris removal - Shows relatively simple ways of constructing mathematical models and analytical solutions describing the behavior of very complex material systems - Uses modern methods of regular and chaotic dynamics to obtain results
Discrete and Continuum Models for Complex Metamaterials
Author: Francesco dell'Isola
Publisher: Cambridge University Press
ISBN: 1108850189
Category : Science
Languages : en
Pages : 409
Book Description
Bringing together contributions on a diverse range of topics, this text explores the relationship between discrete and continuum mechanics as a tool to model new and complex metamaterials. Providing a comprehensive bibliography and historical review of the field, it covers mechanical, acoustic and pantographic metamaterials, discusses Naive Model Theory and Lagrangian discrete models, and their applications, and presents methods for pantographic structures and variational methods for multidisciplinary modeling and computation. The relationship between discrete and continuous models is discussed from both mathematical and engineering viewpoints, making the text ideal for those interested in the foundation of mechanics and computational applications, and innovative viewpoints on the use of discrete systems to model metamaterials are presented for those who want to go deeper into the field. An ideal text for graduate students and researchers interested in continuum approaches to the study of modern materials, in mechanical engineering, civil engineering, applied mathematics, physics, and materials science.
Publisher: Cambridge University Press
ISBN: 1108850189
Category : Science
Languages : en
Pages : 409
Book Description
Bringing together contributions on a diverse range of topics, this text explores the relationship between discrete and continuum mechanics as a tool to model new and complex metamaterials. Providing a comprehensive bibliography and historical review of the field, it covers mechanical, acoustic and pantographic metamaterials, discusses Naive Model Theory and Lagrangian discrete models, and their applications, and presents methods for pantographic structures and variational methods for multidisciplinary modeling and computation. The relationship between discrete and continuous models is discussed from both mathematical and engineering viewpoints, making the text ideal for those interested in the foundation of mechanics and computational applications, and innovative viewpoints on the use of discrete systems to model metamaterials are presented for those who want to go deeper into the field. An ideal text for graduate students and researchers interested in continuum approaches to the study of modern materials, in mechanical engineering, civil engineering, applied mathematics, physics, and materials science.
Lectures on Engineering Mechanics
Author: Stefan Lindström
Publisher: Lindström, Stefan
ISBN: 9198128744
Category : Technology & Engineering
Languages : en
Pages : 156
Book Description
Lectures on Engineering Mechanics: Statics and Dynamics is suitable for Bachelor's level education at schools of engineering with an academic profile. It gives a concise and formal account of the theoretical framework of elementary Engineering Mechanics. A distinguishing feature of this textbook is that its content is consistently structured into postulates, definitions and theorems, with rigorous derivations. The reader finds support in a wealth of illustrations and a cross-reference for each deduction. This textbook underscores the importance of properly drawn free-body diagrams to enhance the problem-solving skills of students. Table of contents I. STATICS . . . 1. Introduction . . . 2. Force-couple systems . . . 3. Static equilibrium . . . 4. Center of mass . . . 5. Distributed and internal forces . . . 6. Friction II. PARTICLE DYNAMICS . . . 7. Planar kinematics of particles . . . 8. Kinetics of particles . . . 9. Work-energy method for particles . . . 10. Momentum and angular momentum of particles . . . 11. Harmonic oscillators III. RIGID BODY DYNAMICS . . . 12. Planar kinematics of rigid bodies . . . 13. Planar kinetics of rigid bodies . . . 14. Work-energy method for rigid bodies . . . 15. Impulse relations for rigid bodies . . . 16. Three-dimensional kinematics of rigid bodies . . . 17. Three-dimensional kinetics of rigid bodies APPENDIX . . . A. Selected mathematics . . . B. Quantity, unit and dimension . . . C. Tables
Publisher: Lindström, Stefan
ISBN: 9198128744
Category : Technology & Engineering
Languages : en
Pages : 156
Book Description
Lectures on Engineering Mechanics: Statics and Dynamics is suitable for Bachelor's level education at schools of engineering with an academic profile. It gives a concise and formal account of the theoretical framework of elementary Engineering Mechanics. A distinguishing feature of this textbook is that its content is consistently structured into postulates, definitions and theorems, with rigorous derivations. The reader finds support in a wealth of illustrations and a cross-reference for each deduction. This textbook underscores the importance of properly drawn free-body diagrams to enhance the problem-solving skills of students. Table of contents I. STATICS . . . 1. Introduction . . . 2. Force-couple systems . . . 3. Static equilibrium . . . 4. Center of mass . . . 5. Distributed and internal forces . . . 6. Friction II. PARTICLE DYNAMICS . . . 7. Planar kinematics of particles . . . 8. Kinetics of particles . . . 9. Work-energy method for particles . . . 10. Momentum and angular momentum of particles . . . 11. Harmonic oscillators III. RIGID BODY DYNAMICS . . . 12. Planar kinematics of rigid bodies . . . 13. Planar kinetics of rigid bodies . . . 14. Work-energy method for rigid bodies . . . 15. Impulse relations for rigid bodies . . . 16. Three-dimensional kinematics of rigid bodies . . . 17. Three-dimensional kinetics of rigid bodies APPENDIX . . . A. Selected mathematics . . . B. Quantity, unit and dimension . . . C. Tables