Advanced Dynamics (Parenting for Prevention Information Series)

The book balances theory and application and relates all subjects to practical problems, real-world situations, and recent advances that affect everyday life. This text distinguishes itself with a more complete introduction to recent developments in dynamics, new and practical applications to help the reader remember key theories and uses, and an appreciation that the subject matter is riddled with ongoing problems that need new solutions. - Data and information appearing in this book are for informational purposes only. AIAA and the author are not responsible for any injury or damage resulting from use or reliance, nor do AIAA and the author warrant that use or reliance will be free from privately owned rights. Annotation Advanced Dynamics Is Recognized As An Important Subject Of Study For All Engineering Students And Professionals In Competitive University Programs And Throughout The Industry. This Textbook Adeptly Explains The Fundamental Laws Of Motion, But Goes A Step Beyond By Covering New Topics Such As Gyroscopic Effects, Missile Trajectories, Interplanetary Missions, Multistage Rockets, And Use Of Numerical Methods. In Addition, Theories Such As The Rotation Operator Are Taken To A New Degree And Developed Further, Far Surpassing Comparable Textbooks. The Book Balances Theory And Application And Relates All Subjects To Practical Problems, Real-world Situations, And Recent Advances That Affect Everyday Life. This Text Distinguishes Itself With A More Complete Introduction To Recent Developments In Dynamics, New And Practical Applications To Help The Reader Remember Key Theories And Uses, And An Appreciation That The Subject Matter Is Riddled With Ongoing Problems That Need New Solutions. These Distinguishing Features, Make Advanced Dynamics More Complete, Interesting, And Understandable Than Existing Textbooks And Resource Materials. Problems Appear At The End Of Each Chapter, And A Complimentary Solutions Manual Is Available For Professors. It Is Also Written For Those Engineers Who Want To Update Their Knowledge And Stay Current On Changes In The Field, But Do Not Have The Opportunity To Attend Formal Classes. The Reader Will Take Away A Thorough Understanding Of The Foundation Of Mechanical Engineering, Which Is Necessary To Read And Assimilate Scholarly Papers And Leading Articles Published In Journals And Peer-reviewed Magazines. Review Of Fundamental Principles -- Kinematics And Dynamics Of A Particle -- Dynamics Of A System 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 -- Appendix A. Runge-kutta Method -- Appendix B. Stoke's Theorem -- Appendix C. Planetary Data -- Appendix D. Determinants And Matrices -- Appendix E. Method Of Partial Fractions -- Appendix F. Tables Of Fourier And Laplace Transforms -- Appendix G. Contour Integration And Inverse Laplace Transform -- Appendix H. Bessel Functions -- Appendix I. Instructions For Computer Programs -- Appendix J. Further Reading. Shuh-jing (benjamin) Ying. Includes Bibliographical References And Index. Content: Front Matter • Preface • Table of Contents 1. Review of Fundamental Principles 2. Kinematics and Dynamics of a Particle 3. Dynamics of a System of Particles 4. Lagrange's Equations and the Variational Principle 5. Rockets and Space Vehicles 6. Matrices, Tensors, Dyadics, and Rotation Operators 7. Dynamics of a Rigid Body 8. Fundamentals of Small Oscillations 9. Vibration of Systems with Multiple Degrees of Freedom 10. Special Relativity Theory • Appendix A: Runge-Kutta Method • Appendix B: Stoke's Theorem • Appendix C: Planetary Data • Appendix D: Determinants and Matrices • Appendix E: Method of Partial Fractions • Appendix F: Tables of Fourier and Laplace Transforms • Appendix G: Contour Integration and Inverse Laplace Transform • Appendix H: Bessel Functions • Appendix I: Instructions for Computer Programs • Appendix J: Further Reading Subject Index Advanced dynamics forms the foundation of physical science and is recognized as an important subject of study for all engineering students and professionals in competitive university programmes and throughout the industry. This textbook explains the fundamental laws of motion and goes on to cover topics including gyroscopic effect, missile trajectories, interplanetary mission, multistage rockets and use of numerical methods. In addition, theories such as the rotation operator are developed. This textbook explains the fundamental laws of motion, and covers other topics such as gyroscopic effect, missile trajectories, interplanetary mission and multistage rockets. All subjects are related to practical problems, real-world situations and recent advances affecting everyday life.