Intermediate Dynamics for Engineers—A Unified Treatment of Newton–Euler and Lagrangian Mechanics

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

by Oliver M. O’Reilly 

2008 (408 pages)

ISBN:9780521874830

With highly structured exercises at the end of each chapter, this book, using some ideas from differential geometry, illuminates the equivalence of a Newton-Euler approach and a Lagrangrian approach.

Intermediate Dynamics for Engineers—A Unified Treatment of Newton–Euler and Lagrangian Mechanics

Preface

Part One - Dynamics of a Single Particle

Chapter 1

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Kinematics of a Particle

Chapter 2

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Kinetics of a Particle

Chapter 3

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Lagrange’s Equations of Motion for a Single Particle

Part Two - Dynamics of a System of Particles

Chapter 4

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The Equations of Motion for a System of Particles

Chapter 5

-

Dynamics of Systems of Particles

Part Three - Dynamics of a Single Rigid Body

Chapter 6

-

Rotation Tensors

Chapter 7

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Kinematics of Rigid Bodies

Chapter 8

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Constraints on and Potentials for Rigid Bodies

Chapter 9

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Kinetics of a Rigid Body

Chapter 10

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Lagrange’s Equations of Motion for a Single Rigid Body

Part Four - Systems of Rigid Bodies

Chapter 11

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Introduction to Multibody Systems

Appendix— Background on Tensors

Bibliography