Intermediate Dynamics for Engineers: A Unified Treatment of Newton-Euler and Lagrangian Mechanics

Oliver M. O'Reilly

doi:10.1017/CBO9780511791352

Intermediate Dynamics for Engineers

A Unified Treatment of Newton-Euler and Lagrangian Mechanics

This book has sufficient material for two semester-length courses in intermediate engineering dynamics. For the first course, a Newton-Euler approach is used, followed by a Lagrangrian approach in the second. Using some ideas from differential geometry, the equivalence of these two approaches is illuminated throughout the text. In addition, this book contains comprehensive treatments of the kinematics and dynamics of particles and rigid bodies. The subject matter is illuminated by numerous, highly structured examples and exercises featuring a wide range of applications and numerical simulations.

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Intermediate Dynamics for Engineers

A Unified Treatment of Newton-Euler and Lagrangian Mechanics

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Contents

Frontmatter
pp i-vi

Contents
pp vii-x

Preface
pp xi-xiv

PART ONE - DYNAMICS OF A SINGLE PARTICLE
pp 1-2

1 - Kinematics of a Particle
pp 3-32

2 - Kinetics of a Particle
pp 33-69

3 - Lagrange's Equations of Motion for a Single Particle
pp 70-100

PART TWO - DYNAMICS OF A SYSTEM OF PARTICLES
pp 101-102

4 - The Equations of Motion for a System of Particles
pp 103-133

5 - Dynamics of Systems of Particles
pp 134-160

PART THREE - DYNAMICS OF A SINGLE RIGID BODY
pp 161-162

6 - Rotation Tensors
pp 163-205

7 - Kinematics of Rigid Bodies
pp 206-236

8 - Constraints on and Potentials for Rigid Bodies
pp 237-271

9 - Kinetics of a Rigid Body
pp 272-306

10 - Lagrange's Equations of Motion for a Single Rigid Body
pp 307-344

PART FOUR - SYSTEMS OF RIGID BODIES
pp 345-346

11 - Introduction to Multibody Systems
pp 347-361

APPENDIX: BACKGROUND ON TENSORS
pp 362-376

Bibliography
pp 377-388

Index
pp 389-392

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Intermediate Dynamics for Engineers

A Unified Treatment of Newton-Euler and Lagrangian Mechanics

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