Advanced Mechanical Vibrations

Introduction: Characterization of engineering vibration problems, Review of single degree freedom systems with free, damped and forced vibrations Two-degree of Freedom Systems: Principal modes of vibration, Spring coupled and mass coupled systems, Forced vibration of an undamped close coupled and far coupled systems, Undamped vibration absorbers, Forced damped vibrations, Vibration isolation.

Multi-degree Freedom systems: Eigen-value problem, Close coupled and far coupled systems, Orthogonality of mode shapes, Modal analysis for free, damped and forced vibration systems, Approximate methods for fundamental frequency- Rayleigh’s, Dunkerely, Stodola and Holzer method, Method of matrix iteration, Finite element method for close coupled and far coupled systems.

Continuous systems: Forced vibration of systems governed by wave equation, Free and forced vibrations of beams/ bars Transient Vibrations: Response to an impulsive, step and pulse input, Shock spectrum Non-linear Vibrations: Non-linear systems, Undamped and forced vibration with non-linear spring forces, Self-excited vibrations.

Books:

1. Theory and practice of Mechanical Vibrations J.S. Rao and K. Gupta New Age International

2. Mechanical Vibrations G.K. Groover Nem Chand & Brothers

3. Mechanical Vibration Practice V. Ramamurti Narosa Publications

4. Mechanical Vibrations V.P. Singh Dhanpat Rai & sons 5.