1. Introduction to elasto-dynamics: linear oscillators. 2. The equations of motion and virtual work methods in dynamics. 3. The nature of the inertia forces and the mass matrix. 4. The natural vibrations of undamped systems. 5. Free vibrations of undamped systems. 6. Forced vibrations of undamped systems. 7. The nature of damping forces; modal damping. 8. Random vibrations of modally damped systems. 9. Dynamic analysis of structures with arbitrary viscous damping. 10. Direct integration methods for the equation of dynamic equilibrium. 11. Aspects of non-linear structural dynamics.