Advanced Engineering Dynamics

This text offers a clear and refreshing exposition of the dynamics of mechanical systems from an engineering perspective. The author thoroughly covers basic concepts and applies them in a systematic manner to solve problems in mechanical systems with applications to engineering. Numerous illustrative examples accompany all theoretical discussions, and each chapter offers a wealth of homework problems. The treatment of the kinematics of particles and rigid bodies is extensive. In this new edition the author has revised and reorganized sections to enhance understanding of physical principles, and he has modified and added examples, as well as homework problems. The new edition also contains a thorough development of computational methods for solving the differential equations of motion for constrained systems. Seniors and graduate students in engineering will find this book to be extremely useful. Solutions manual available.

1. Basic considerations
2. Introduction
3. Newton's Laws
4. Systems of Units
5. Vector Calculus
6. Energy and Momentum
7. Brief Biographical Perspective
8. Particle Kinematics
9. Path Variables-Intrinsic Coordinates
10. Rectangular Cartesian Coordinates
11. Orthogonal Curvilinear Coordinates
12. Joint Kinematical Descriptions
13. Relative Motion
14. Rotation Transformations
15. Finite Rotations
16. Angular Velocity and Derivatives of Rotating Vectors
17. Angular Acceleration
18. Derivative of an Arbitrary Factor
19. Velocity and Acceleration Using a Moving Reference Frame
20. Observations from a Moving Reference System
21. Kinematics of Rigid Bodies
22. General Equations
23. Eulerian Angles
24. Interconnections
25. Rolling
26. Newtonian Kinetics of a Rigid Body
27. Fundamental Principles
28. Evaluations of Angular Momentum and Inertia Properties
29. Rate of Change of Angular Momentum
30. Equations of Motion
31. Planar Motion
32. Impulse-Momentum and Work-Energy Principles
33. System of Rigid Bodies
34. Introduction of Analytical Mechanics
35. Generalized Coordinates and Degrees of Freedom
36. Constraints - Holonomic and Nonholonomic
37. Virtual Displacements
38. Generalized Forces
39. Hamilton's Principle
40. Lagrange's Equations. 41. Further Concepts in Analytical Mechanics
42. Constrained Generalized Coordinates
43. Computational Methods in the State-Space
44. Hamiltonian Mechanics and Further Conservation Principles
45. Gibbs-Appell Equations for Quasi-Coordinates
46. Gyroscopic Effects
47. Free Motion
48. Spinning Top
49. Gyroscopes for Inertial Guidance
Appendix
Answers to even-numbered problems

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Advanced Engineering Dynamics

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Table of Contents

Supplemental Materials