MECHANICAL VIBRATIONS 

1. Introduction ; Basic concepts, Methods of vibration analysis, Types of vibration, Periodic &Harmonic vibrations .

2. undamped free vibrations, damped free vibrations and damped force vibrations of single degree of freedom system,vibration isolation transmissibility.vibration measuring instruments.

3.Two degrees of Freedom systems:

a) principal modes of vibrations, natural frequencies, amplitude ratio, forced harmonic vibration .combined rectilinear & angular modes.

b) Application; Vibration absorber - principle, centrifugal pendulum vibration absorber, torsional vibration damper, untuned viscous damper, dry friction dampers, torsional vibration of two rotor systems.

4 a) Multi-degree of freedom systems: undamped free vibrations, influence coefficients,generalised coordinates,orthogonality principal,matrix alteration methods,: Rayleigh and Dunkerley, Holzer's , stodola method,Eigen values & eigen vector

b) continuous systems: Vibration of a string, longitudinal vibrations of bars, Euler's equation of motion for beam vibration, natural frequencies for various end conditions, torsional vibration of circular shafts