Determination of equations of motion with Newton method, energy methods (Lagrange, Kane). Lumped-mass modeling. Free and forced vibrations of linear multi-degree of freedom systems with and without damping. Orthogonality of normal modes, expansion theorem. Free and forced vibrations of systems with nonproportional damping. Emprical and numerical methods. Introduction to continuous systems. Longitudinal vibration of rods. Transverse vibration of beams. Multibody systems.