370 pgs, 1997, AIAA ISBN 978-1563472244 This book provides a comprehensive introduction to this important topic for aeronautical or mechanical engineering students. It is written with the student in mind by explaining in great detail the fundamental principles and applications of advanced dynamics. The applications are first illustrated on simple problems, such as the collision of two bodies, and then demonstrated on much more complex problems, such as two-impulse trajectory for space probes. The text covers all the essential mathematical tools needed to analyze the dynamics of systems: Vector algebra, conversion of coordinates, calculus of variations, matrix algebra, Cartesian tensors and dyadics, rotation operators, Fourier series, Fourier integrals, Fourier Transforms, and Laplace transforms.
Dr. Ying is a Professor at the University of South Florida in the Department of Mechanical Engineering.
Software included.
TABLE OF CONTENTS - Review of Fundamental Principles
- Kinematics and Dynamics of a Particle
- Dynamics of a Systems of Particles
- Lagrange's Equations and the Variational Principle
- Rockets and Space Vehicles
- Matrices, Tensors, Dyadics, and Rotation Operators
- Dynamics of a Rigid Body
- Fundamentals of Small Oscillations
- Vibration of Systems with Multiple Degrees of Freedom
- Special Relativity Theory
Appendices
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