

Beschreibung
This book presents a new approach to learning the dynamics of particles and rigid bodies at an intermediate to advanced level. There are three distinguishing features of this approach. First, the primary emphasis is to obtain the equations of motion of dynami...This book presents a new approach to learning the dynamics of particles and rigid bodies at an intermediate to advanced level. There are three distinguishing features of this approach. First, the primary emphasis is to obtain the equations of motion of dynamical systems and to solve them numerically. As a consequence, most of the analytical exercises and homework found in traditional dynamics texts written at this level are replaced by MATLAB®-based simulations. Second, extensive use is made of matrices. Matrices are essential to define the important role that constraints have on the behavior of dynamical systems. Matrices are also key elements in many of the software tools that engineers use to solve more complex and practical dynamics problems, such as in the multi-body codes used for analyzing mechanical, aerospace, and biomechanics systems. The third and feature is the use of a combination of Newton-Euler and Lagrangian (analytical mechanics) treatments for solving dynamics problems. Rather than discussing these two treatments separately, Engineering Dynamics 2.0 uses a geometrical approach that ties these two treatments together, leading to a more transparent description of difficult concepts such as "virtual" displacements. Some important highlights of the book include:
Autorentext
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.
Inhalt
1 Basic Elements of Dynamics
1.1 Introduction1.2 Systems of Units1.3 Describing Motion in Different Coordinate Systems1.3.1 Cartesian (Rectangular) Coordinates1.3.2 Cylindrical and Polar Coordinates1.3.3 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 Particle2.1 Governing Equations2.2 The Dynamics of Unconstrained Motion of a Particle 2.2.1 Equations of Motion2.2.2 A Projectile Problem2.2.3 Potential Energy2.2.4 Kinetic Energy and Conservative Systems2.2.5 Work-Energy2.2.6 A Projectile Problem with Drag Forces2.3 The Dynamics of Constrained Motion of a Particle2.3.1 Constrained Motion of a Bead on a Wire2.3.2 A Roller-Coaster Problem2.4 Constraints and Equations of Motion A Matrix Approach2.4.1 Types of Constraints2.4.2 Constraints for Motion in Three Dimensions2.4.3 Augmented Solutions for Ideal Constraint Forces and the Equations of Motion in Cartesian Coordinates2.5 Constraints and Equations of Motion in Generalized Coordinates2.5.1 Solutions in Generalized Coordinates2.5.2 Unconstrained Motion of a Spring-Pendulum2.5.3 Constrained Motion of a Pendulum2.5.4 Constraints and the Motion of the Planets2.6 Generalized Coordinates and the Equations Motion A Geometric Approach2.6.1 Embedding of Constraints2.6.2 Augmented Approach with Generalized Coordinates2.7 Lagrange's Equations2.7.1 Generalized Momenta and Ignorable Coordinates2.8 Analytical Dynamics and Virtual Work2.9 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 Particles3.1 Internal Forces3.2 Newton-Euler Laws for a System of Particles3.2.1 Motion of the Center of Mass3.2.2 Impulse and Linear Momentum3.2.3 The Moment Equation and Angular Momentum 3.2.4 Angular Impulse and Angular Momentum3.2.5 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 Particles3.3 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 Pendulum3.5 A Non-Holonomic Constrained System of Particles3.6 Dependent Constraints3.7 Problems3.8 References
4 Kinematics and Relative Motion4.1 Relative Velocity and Acceleration4.1.1 Relative Motion Cylindrical and Spherical Coordinates4.2 Relative Motion and the Transport Theorem4.2.1 Relative Velocity and Acceleration More Explicit Forms4.2.2 Relative Motion for Rigid Bodies4.2.3 The Analysis of Kinematically Driven Systems I4.2.4 Singular Configurations4.2.5 Numerical Solution of the Position Equations4.2.6 Velocity and Acceleration Constraints4.2.7 The Analysis of Kinematically Driven Systems II4.3 Motion on the Rotating Earth4.4 Matrix Kinematics of Rigid Body Planar Motion4.4.1 Positional Analysis4.4.2 Velocity...
