A Concise Introduction to Mechanics of Rigid Bodies
A Concise Introduction to Mechanics of Rigid Bodies

Author: L. Huang

Publisher: Springer

Published: 2016-11-26

Total Pages: 197

ISBN-13: 3319450417

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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
FLUID MECHANICS : A CONCISE INTRODUCTION

Author: PANI, BIDYA SAGAR

Publisher: PHI Learning Pvt. Ltd.

Published: 2016-04-13

Total Pages: 362

ISBN-13: 8120352181

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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.

An Elementary Treatise on Theoretical Mechanics
An Elementary Treatise on Theoretical Mechanics

Author: Sir James H. Jeans

Publisher: Courier Corporation

Published: 2013-05-23

Total Pages: 381

ISBN-13: 0486174697

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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 Mechanics
Rigid Body Mechanics

Author: William B. Heard

Publisher: John Wiley & Sons

Published: 2008-07-11

Total Pages: 262

ISBN-13: 3527618821

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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/

A Concise Introduction to Geometric Numerical Integration
A Concise Introduction to Geometric Numerical Integration

Author: Sergio Blanes

Publisher: CRC Press

Published: 2017-11-22

Total Pages: 287

ISBN-13: 1315354861

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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.

Models of Mechanics
Models of Mechanics

Author: A. Klarbring

Publisher: Springer Science & Business Media

Published: 2006-09-05

Total Pages: 214

ISBN-13: 1402048351

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This textbook on models and modeling in mechanics introduces a new unifying approach to applied mechanics: through the concept of the open scheme, a step-by-step approach to modeling evolves. The unifying approach enables a very large scope on relatively few pages: the book treats theories of mass points and rigid bodies, continuum models of solids and fluids, as well as traditional engineering mechanics of beams, cables, pipe flow and wave propagation.

Lectures on Engineering Mechanics
Lectures on Engineering Mechanics

Author: Stefan Lindström

Publisher: Lindström, Stefan

Published: 2019-06-29

Total Pages: 156

ISBN-13: 9198128744

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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

Mechanics and Thermodynamics
Mechanics and Thermodynamics

Author: Wolfgang Demtröder

Publisher: Springer

Published: 2017-02-06

Total Pages: 459

ISBN-13: 3319278770

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This introduction to classical mechanics and thermodynamics provides an accessible and clear treatment of the fundamentals. Starting with particle mechanics and an early introduction to special relativity this textbooks enables the reader to understand the basics in mechanics. The text is written from the experimental physics point of view, giving numerous real life examples and applications of classical mechanics in technology. This highly motivating presentation deepens the knowledge in a very accessible way. The second part of the text gives a concise introduction to rotational motion, an expansion to rigid bodies, fluids and gases. Finally, an extensive chapter on thermodynamics and a short introduction to nonlinear dynamics with some instructive examples intensify the knowledge of more advanced topics. Numerous problems with detailed solutions are perfect for self study.

Mechanics and Strength of Materials
Mechanics and Strength of Materials

Author: Bogdan Skalmierski

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 445

ISBN-13: 1483102556

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Mechanics and Strength of Materials focuses on the methodologies used in studying the strength of materials. The text first discusses kinematics, and then describes the motion of a single particle; description of the motion of a rigid body; plane motion of a rigid body; and examples of the determination of velocities and accelerations in the motion of plane mechanism. The book explains the dynamics of a particle and statics, including the center of mass and gravity of a particle system; law of variation of angular momentum; analytical and graphical methods in the statics of plane systems; and spatial system of forces. The text also discusses the statics of elastic systems, and then describes the strength calculations of beams; problems of simple beam-bending; geometric moments of inertia; buckling problems of axially compressed rods; and simultaneous bending and torsion of rods with circular cross-section. The book focuses on the dynamics of rigid bodies, dynamics in relative motion, and fundamentals of analytical mechanics. The text further looks at vibrations of systems with one degree and many degrees of freedom. The book is a good source of data for readers interested in studying the strength of materials.