Engineering Dynamics: A Comprehensive Introduction by N. Jeremy Kasdin, ISBN-13: 978-0691135373
[PDF eBook eTextbook]
- Publisher: Princeton University Press (March 14, 2011)
- Language: English
- 688 pages
- ISBN-10: 0691135371
- ISBN-13: 978-0691135373
An accessible yet rigorous introduction to engineering dynamics.
This textbook introduces undergraduate students to engineering dynamics using an innovative approach that is at once accessible and comprehensive. Combining the strengths of both beginner and advanced dynamics texts, this book has students solving dynamics problems from the very start and gradually guides them from the basics to increasingly more challenging topics without ever sacrificing rigor.
Engineering Dynamics spans the full range of mechanics problems, from one-dimensional particle kinematics to three-dimensional rigid-body dynamics, including an introduction to Lagrange’s and Kane’s methods. It skillfully blends an easy-to-read, conversational style with careful attention to the physics and mathematics of engineering dynamics, and emphasizes the formal systematic notation students need to solve problems correctly and succeed in more advanced courses. This richly illustrated textbook features numerous real-world examples and problems, incorporating a wide range of difficulty; ample use of MATLAB for solving problems; helpful tutorials; suggestions for further reading; and detailed appendixes.
- Provides an accessible yet rigorous introduction to engineering dynamics
- Uses an explicit vector-based notation to facilitate understanding
Table of Contents:
Cover
Title
Copyright
Contents
Preface
Chapter 1. Introduction
1.1 What Is Dynamics?
1.2 Organization of the Book
1.3 Key Ideas
1.4 Notes and Further Reading
1.5 Problems
Chapter 2. Newtonian Mechanics
2.1 Newton’s Laws
2.2 A Deeper Look at Newton’s Second Law
2.3 Building Models and the Free-Body Diagram
2.4 Constraints and Degrees of Freedom
2.5 A Discussion of Units
2.6 Tutorials
2.7 Key Ideas
2.8 Notes and Further Reading
2.9 Problems
Part One. Particle Dynamics in the Plane
Chapter 3. Planar Kinematics and Kinetics of a Particle
3.1 The Simple Pendulum
3.2 More on Vectors and Reference Frames
3.3 Velocity and Acceleration in the Inertial Frame
3.4 Inertial Velocity and Acceleration in a Rotating Frame
3.5 The Polar Frame and Fictional Forces
3.6 An Introduction to Relative Motion
3.7 How to Solve a Dynamics Problem
3.8 Derivations—Properties of the Vector Derivative
3.9 Tutorials
3.10 Key Ideas
3.11 Notes and Further Reading
3.12 Problems
Chapter 4. Linear and Angular Momentum of a Particle
4.1 Linear Momentum and Linear Impulse
4.2 Angular Momentum and Angular Impulse
4.3 Tutorials
4.4 Key Ideas
4.5 Notes and Further Reading
4.6 Problems
Chapter 5. Energy of a Particle
5.1 Work and Power
5.2 Total Work and Kinetic Energy
5.3 Work Due to an Impulse
5.4 Conservative Forces and Potential Energy
5.5 Total Energy
5.6 Derivations—Conservative Forces and Potential Energy
5.7 Tutorials
5.8 Key Ideas
5.9 Notes and Further Reading
5.10 Problems
Part Two. Planar Motion of a Multiparticle System
Chapter 6. Linear Momentum of a Multiparticle System
6.1 Linear Momentum of a System of Particles
6.2 Impacts and Collisions
6.3 Mass Flow
6.4 Tutorials
6.5 Key Ideas
6.6 Notes and Further Reading
6.7 Problems
Chapter 7. Angular Momentum and Energy of a Multiparticle System
7.1 Angular Momentum of a System of Particles
7.2 Angular Momentum Separation
7.3 Total Angular Momentum Relative to an Arbitrary Point
7.4 Work and Energy of a Multiparticle System
7.5 Tutorials
7.6 Key Ideas
7.7 Notes and Further Reading
7.8 Problems
Part Three. Relative Motion and Rigid-Body Dynamics in two Dimensions
Chapter 8. Relative Motion in a Rotating Frame
8.1 Rotational Motion of a Planar Rigid Body
8.2 Relative Motion in a Rotating Frame
8.3 Planar Kinetics in a Rotating Frame
8.4 Tutorials
8.5 Key Ideas
8.6 Notes and Further Reading
8.7 Problems
Chapter 9. Dynamics of a Planar Rigid Body
9.1 A Rigid Body Is a Multiparticle System
9.2 Translation of the Center of Mass—Euler’s First Law
9.3 Rotation about the Center of Mass— Euler’s Second Law
9.4 Rotation about an Arbitrary Body Point
9.5 Work and Energy of a Rigid Body
9.6 A Collection of Rigid Bodies and Particles
9.7 Tutorials
9.8 Key Ideas
9.9 Notes and Further Reading
9.10 Problems
Part Four. Dynamics in Three Dimensions
Chapter 10. Particle Kinematics and Kinetics in Three Dimensions
10.1 Two New Coordinate Systems
10.2 The Cylindrical and Spherical Reference Frames
10.3 Linear Momentum, Angular Momentum, and Energy
10.4 Relative Motion in Three Dimensions
10.5 Derivations—Euler’s Theorem and the Angular Velocity
10.6 Tutorials
10.7 Key Ideas
10.8 Notes and Further Reading
10.9 Problems
Chapter 11. Multiparticle and Rigid-Body Dynamics in Three Dimensions
11.1 Euler’s Laws in Three Dimensions
11.2 Three-Dimensional Rotational Equations of Motion of a Rigid Body
11.3 The Moment Transport Theorem and the Parallel Axis Theorem in Three Dimensions
11.4 Dynamics of Multibody Systems in Three Dimensions
11.5 Rotating the Moment of Inertia Tensor
11.6 Angular Impulse in Three Dimensions
11.7 Work and Energy of a Rigid Body in Three Dimensions
11.8 Tutorials
11.9 Key Ideas
11.10 Notes and Further Reading
11.11 Problems
Part Five. Advanced Topics
Chapter 12. Some Important Examples
12.1 An Introduction to Vibrations and Linear Systems
12.2 Linearization and the Linearized Dynamics of an Airplane
12.3 Impacts of Finite-Sized Particles
12.4 Key Ideas
12.5 Notes and Further Reading
Chapter 13. An Introduction to Analytical Mechanics
13.1 Generalized Coordinates
13.2 Degrees of Freedom and Constraints
13.3 Lagrange’s Method
13.4 Kane’s Method
13.5 Key Ideas
13.6 Notes and Further Reading
Appendices
Appendix A. A Brief Review of Calculus
A.1 Continuous Functions
A.2 Differentiation
A.3 Integration
A.4 Higher Derivatives and the Taylor Series
A.5 Multivariable Functions and the Gradient
A.6 The Directional Derivative
A.7 Differential Volumes and Multiple Integration
Appendix B. Vector Algebra and Useful Identities
B.1 The Vector
B.2 Vector Magnitude
B.3 Vector Components
B.4 Vector Multiplication
Appendix C. Differential Equations
C.1 What Is a Differential Equation?
C.2 Some Common ODEs and Their Solutions
C.3 First-Order Form
C.4 Numerical Integration of an Initial Value Problem
C.5 Using MATLAB to Solve ODEs
Appendix D. Moments of Inertia of Selected Bodies
Bibliography
Index
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