Module-1: Forced Vibration with non-harmonic and transient excitation of single degree freedom systems [03 hrs]
Module2-Fourier analysis, Response to arbitrary loading (Duhamel’s Integral), Impulse response, Mechanical shock, Parametric Excitation. [05 hrs]
Module3-Two degree Freedom System, Multi-degree Freedom systems, modal analysis [06 hrs]
Module4-Numerical Methods for natural frequencies and Mode Shape calculation: Matrix iteration Method, Transfer matrix Method, Myklestadt-Prohl Method, Rayleigh’s minimum principle, Stodola’s Method, Hoizer’s Method. [08 hrs]
Module5-Vibrations of Continuous systems governed by wave equation and Euler Bernoulli equation, strings, membranes, rods, beams [09 hrs]
Module6- Experimental Methods in Vibration Analysis, industrial applications -, vibration standards, vibration monitoring, vibration signature of common M/C faults [04hrs]

To apprise the students about importance of vibration analysis and its application in practice.

To teach the vibration analysis of discrete and continuous systems.

To teach different numerical tools of vibration analysis.

Application of vibration analysis for fault diagnosis of machine elements..

The students will achieve expertise in
CO1: Applying different methodologies of vibration analysis of Two and Multi Degrees of Freedom Systems.
CO2: Understanding the forced vibration characteristics of Single Degree of Freedom Systems under Non-harmonic excitation and arbitrary loading .
CO3: Applying various numerical methods to determine the natural frequencies and mode shapes of various vibrating systems .
CO4: Vibration analysis of continuous systems such as Strings, Bars, Beams and Membranes.
CO5: Different Experimental Methods of Vibration Analysis, Vibration Standards and Vibration Signatures of common machine faults.
CO6: Applying the gained knowledge in addressing the vibration related practical problems.

Daniel J. Inman, Engineering Vibrations, ? Pearson Education India , 4th edition, 2013

A R Mohanty, Machinery Condition Monitoring, Principles and Practices, CRC Press , ? Taylor & Francis 1st edition (24 December 2014)

L. Meirovitch, Elements of Vibration Analysis, Tata McGraw Hill , Sp. Indian Edition, 2010

W. T. Thomson, Theory of Vibration with Applications, CBS Publ. , 5th /E, 2008