Introduction to vibration problems – terminologies – simple harmonic motions – equation of motion of a vibrating system – Newton‘s laws of motion – Energy methods – Rayleigh‘s method – D‘Alembert‘s Principle.

Free and forced vibrations with and without damping – support excitations – transmissibility – vibration Measuring instruments.

Two degrees of freedom systems – static and dynamic couplings – vibration absorber– principal coordinates – Principal modes and orthogonal conditions – Eigenvalue problems – Hamilton‘s principle –Lagrangean equations and application. Vibration of elastic bodies – vibration of strings – longitudinal, lateral and torsional vibrations.

Approximate methods – Rayleigh‘s method –Dunkerlay‘s method, Holzer Method – matrix iteration method – Computational solutions of approximate methods

Aeroelastic problems – Collar‘s aeroelastic triangle – wing divergence – aileron control reversal –flutter – buffeting – elements of Servo elasticity.