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

Name: Intermediate Dynamics for Engineers A Unified Treatment of Newton-Euler and Lagrangian Mechanics
Price: 86.48 USD
Availability: InStock
ISBN: 9780521874830

ISBN-10: 0521874831

ISBN-13: 9780521874830

Edition: 2008

Authors: Oliver O'Reilly

List price: $134.99

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Description:

This book has sufficient material for two full-length semester courses in advanced engineering dynamics. As such it contains two tracks (which overlap in places). During the first course a Newton-Euler approach is used, followed by a Lagrangian approach in the second. In discussing rotations for the second course, time constraints permit a detailed discussion of only the Euler angle parameterization of a rotation tensor from Chapter 6 and a brief mention of the examples on rigid body dynamics discussed in Chapter 9. The text includes invaluable exercises at the end of each chapter that are highly structured and intended as a self-study aid. Validated solutions are provided, many of which…

Book details

List price: $134.99
Copyright year: 2008
Publisher: Cambridge University Press
Publication date: 8/4/2008
Binding: Hardcover
Pages: 408
Size: 7.25" wide x 10.00" long x 1.25" tall
Weight: 2.2
Language: English



Preface



Dynamics of a Single Particle



Kinematics of a Particle



Introduction



Reference Frames



Kinematics of a Particle



Frequently Used Coordinate Systems



Curvilinear Coordinates



Representations of Particle Kinematics



Constraints



Classification of Constraints



Closing Comments


Exercises



Kinetics of a Particle



Introduction



The Balance Law for a Single Particle



Work and Power



Conservative Forces



Examples of Conservative Forces



Constraint Forces



Conservations



Dynamics of a Particle in a Gravitational Field



Dynamics of a Particle on a Spinning Cone



A Shocking Constraint



A Simple Model for a Roller Coaster



Closing Comments


Exercises



Lagrange's Equations of Motion for a Single Particle



Introduction



Lagrange's Equations of Motion



Equations of Motion for an Unconstrained Particle



Lagrange's Equations in the Presence of Constraints



A Particle Moving on a Sphere



Some Elements of Geometry and Particle Kinematics



The Geometry of Lagrange's Equations of Motion



A Particle Moving on a Helix



Summary


Exercises



Dynamics of a System of Particles



The Equations of Motion for a System of Particles



Introduction



A System of N Particles



Coordinates



Constraints and Constraint Forces



Conservative Forces and Potential Energies



Lagrange's Equations of Motion



Construction and Use of a Single Representative Particle



The Lagrangian



A Constrained System of Particles



A Canonical Form of Lagrange's Equations



Alternative Principles of Mechanics



Closing Remarks


Exercises



Dynamics of Systems of Particles



Introduction



Harmonic Oscillators



A Dumbbell Satellite



A Pendulum and a Cart



Two Particles Tethered by an Inextensible String



Closing Comments


Exercises



Dynamics of a Single Rigid Body



Rotation Tensors



Introduction



The Simplest Rotation



Proper-Orthogonal Tensors



Derivatives of a Proper-Orthogonal Tensor



Euler's Representation of a Rotation Tensor



Euler's Theorem: Rotation Tensors and Proper-Orthogonal Tensors



Relative Angular Velocity Vectors



Euler Angles



Further Representations of a Rotation Tensor



Derivatives of Scalar Functions of Rotation Tensors


Exercises



Kinematics of Rigid Bodies



Introduction



The Motion of a Rigid Body



The Angular Velocity and Angular Acceleration Vectors



A Corotational Basis



Three Distinct Axes of Rotation



The Center of Mass and Linear Momentum



Angular Momenta



Euler Tensors and Inertia Tensors



Angular Momentum and an Inertia Tensor



Kinetic Energy



Concluding Remarks


Exercises



Constraints on and Potentials for Rigid Bodies



Introduction



Constraints



A Canonical Function



Integrability Criteria



Forces and Moments Acting on a Rigid Body



Constraint Forces and Constraint Moments



Potential Energies and Conservative Forces and Moments



Concluding Comments


Exercises



Kinetics of a Rigid Body



Introduction



Balance Laws for a Rigid Body



Work and Energy Conservation



Additional Forms of the Balance of Angular Momentum



Moment-Free Motion of a Rigid Body



The Baseball and the Football



Motion of a Rigid Body with a Fixed Point



Motions of Rolling Spheres and Sliding Spheres



Closing Comments


Exercises



Lagrange's Equations of Motion for a Single Rigid Body



Introduction



Configuration Manifold of an Unconstrained Rigid Body



Lagrange's Equations of Motion: A First Form



A Satellite Problem



Lagrange's Equations of Motion: A Second Form



Lagrange's Equations of Motion: Approach II



Rolling Disks and Sliding Disks



Lagrange and Poisson Tops



Closing Comments


Exercises



Systems of Rigid Bodies



Introduction to Multibody Systems



Introduction



Balance Laws and Lagrange's Equations of Motion



Two Pin-Jointed Rigid Bodies



A Single-Axis Rate Gyroscope



Closing Comments


Exercises



Background on Tensors



Introduction



Preliminaries: Bases, Alternators, and Kronecker Deltas



The Tensor Product of Two Vectors



Second-Order Tensors



A Representation Theorem for Second-Order Tensors



Functions of Second-Order Tensors



Third-Order Tensors



Special Types of Second-Order Tensors



Derivatives of Tensors


Exercises


Bibliography


Index