Analytical Dynamics

1. Review of Newtonian Dynamics
Mark D. Ardema

2. Motion and Constraints
Mark D. Ardema

3. Virtual Displacement and Virtual Work
Mark D. Ardema

4. Variational Principles
Mark D. Ardema

5. Generalized Coordinates
Mark D. Ardema

6. Lagrange’s Equations
Mark D. Ardema

7. Formulation of Equations
Mark D. Ardema

8. Integration of Equations
Mark D. Ardema

9. Examples
Mark D. Ardema

10. Central Force Motion
Mark D. Ardema

11. Gyroscopic Motion
Mark D. Ardema

12. Stability Of Motion
Mark D. Ardema

13. Impulsive Motion
Mark D. Ardema

14. Gibbs-Appell Equations
Mark D. Ardema

15. Hamilton’s Equations
Mark D. Ardema

16. Contact Transformations
Mark D. Ardema

17. Hamilton-Jacobi Equation
Mark D. Ardema

18. Approximation Methods
Mark D. Ardema

Keywords: Engineering, Engineering, general, Vibration, Dynamical Systems, Control