1 Basic Elements of Dynamics
1.1 Introduction1.2 Systems of Units1.3 Describing Motion in Different Coordinate Systems 1.3.1 Cartesian (Rectangular) Coordinates 1.3.2 Cylindrical and Polar Coordinates 1.3.3 Spherical Coordinates1.4 Vectors and Matrices1.5 Angular Velocity and the Time Derivative of Unit Vectors1.6 Objective and Organization of the Book1.7 Problems
2 Dynamics of a Particle 2.1 Governing Equations 2.2 The Dynamics of Unconstrained Motion of a Particle 2.2.1 Equations of Motion 2.2.2 A Projectile Problem 2.2.3 Potential Energy 2.2.4 Kinetic Energy and Conservative Systems 2.2.5 Work-Energy 2.2.6 A Projectile Problem with Drag Forces 2.3 The Dynamics of Constrained Motion of a Particle 2.3.1 Constrained Motion of a Bead on a Wire 2.3.2 A Roller-Coaster Problem 2.4 Constraints and Equations of Motion - A Matrix Approach 2.4.1 Types of Constraints 2.4.2 Constraints for Motion in Three Dimensions 2.4.3 Augmented Solutions for Ideal Constraint Forces and the Equations of Motion in Cartesian Coordinates 2.5 Constraints and Equations of Motion in Generalized Coordinates 2.5.1 Solutions in Generalized Coordinates 2.5.2 Unconstrained Motion of a Spring-Pendulum 2.5.3 Constrained Motion of a Pendulum 2.5.4 Constraints and the Motion of the Planets 2.6 Generalized Coordinates and the Equations Motion - A Geometric Approach 2.6.1 Embedding of Constraints 2.6.2 Augmented Approach with Generalized Coordinates 2.7 Lagrange's Equations 2.7.1 Generalized Momenta and Ignorable Coordinates 2.8 Analytical Dynamics and Virtual Work 2.9 Other Principles and Virtual Quantities2.10 Non-Ideal Constraint Forces2.11 Explicit Embedding of Constraints - A General Approach2.12 The Augmented Approach and Constraint Satisfaction2.13 Problems2.14 References
3 Dynamics of a System of Particles 3.1 Internal Forces 3.2 Newton-Euler Laws for a System of Particles 3.2.1 Motion of the Center of Mass 3.2.2 Impulse and Linear Momentum 3.2.3 The Moment Equation and Angular Momentum 3.2.4 Angular Impulse and Angular Momentum 3.2.5 Work and Energy3.2.5.1 Kinetic Energy and Angular Momentum for a Rigid System of Particles3.2.5.2 Work-Kinetic Energy for an Elastically Connected System of Particles 3.3 Dynamics of a Rigidly Constrained System of Particles (Rigid Body) 3.4 Equations of Motion in Generalized Coordinates 3.4.1 Motion of a Double Pendulum 3.5 A Non-Holonomic Constrained System of Particles 3.6 Dependent Constraints3.7 Problems3.8 References
4 Kinematics and Relative Motion 4.1 Relative Velocity and Acceleration 4.1.1 Relative Motion - Cylindrical and Spherical Coordinates 4.2 Relative Motion and the Transport Theorem 4.2.1 Relative Velocity and Acceleration - More Explicit Forms 4.2.2 Relative Motion for Rigid Bodies 4.2.3 The Analysis of Kinematically Driven Systems - I 4.2.4 Singular Configurations 4.2.5 Numerical Solution of the Position Equations 4.2.6 Velocity and Acceleration Constraints 4.2.7 The Analysis of Kinematically Driven Systems - II 4.3 Motion on the Rotating Earth 4.4 Matrix Kinematics of Rigid Body
About the Author: Les Schmerr received a B.S. degree in Aeronautics and Astronautics from the Massachusetts Institute of Technology in 1965 and a Ph.D. in Mechanics from the Illinois Institute of Technology in 1970. Since 1969 he has been at Iowa State University where he is currently Professor of Aerospace Engineering and Associate Director of the Center for Nondestructive Evaluation. He is also the Permanent Secretary of the World Federation of NDE Centers. His research interests include ultrasonics, elastic wave propagation and scattering, and artificial intelligence. He has developed and taught Ultrasonics and Nondestructive Evaluation courses at both the undergraduate and graduate level. He is the author of several books, including Ultrasonic Nondestructive Evaluation Systems (2007), Fundamentals of Ultrasonic Phased Arrays (2015), and most recently, the second edition of Fundamentals of Ultrasonic Nondestructive Evaluation (2016). He is a member of IEEE, ASME, ASNT and AIAA.