Mechanical Vibrations (ME-502) - Official Syllabus

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Unit 1

Vibration, main causes, advantages and disadvantages
engineering applications of vibration and noise
vector method of representing harmonic motion
characteristics of vibration, harmonic analysis and beats phenomenon
work done by harmonic forces on harmonic motion
periodic, non- harmonic functions- Fourier series analysis
evaluation of coefficients of Fourier series
elements of vibratory system
lumped and distributed parameter systems
Undamped Free Vibrations: Derivation of differential equation of motion: the energy method, the method based on Newton’s second law of motion, and Rayleigh’s method
Solution of differential equation of motion: Natural frequency of vibration
Systems involving angular oscillations: the compound pendulum

Unit 2

Unit 3

One degree of freedom- forced harmonic vibration
vector representation of forces
excitation due to rotating and reciprocating unbalance
vibration Isolation, force and motion transmissibility
absolute and relative motion of mass (Seismic Instruments )
Whirling Motion and Critical Speed : Whirling motion and Critical speed : Definitions and significance
Critical speed of a vertical , light flexible shaft with single rotor : with and without damping
Critical speed of a shaft carrying multiple discs (without damping )
Secondary critical speed

Unit 4

Unit 5

Frequency and sound dependent human response
the decibel scale
relationship between, sound pressure level (SPL), sound power level and sound intensity scale
relationship between addition, subtraction and averaging
sound spectra and Octave band analysis
loudness
weighting networks
equivalent sound level
auditory effects of noise
hazardous noise, exposure due to machines and equipments
hearing conservation and damage risk criteria, daily noise doze
Noise: Sources, Isolation and Control: Major sources of noise on road and in industries
noise due to construction equipments and domestic appliances
industrial noise control, strategies- noise control at source (with or without sound enclosures)
noise control along the path (with or without partitions and acoustic barriers )
noise control at the receiver, ear defenders, earplugs, semi-insert protectors

Laboratory Experiments

To find out effect of load on natural frequency of vibrations of a lever pin supported at one end carrying adjustable load on a vertical screwed bar and spring supported at some intermediate point (i) When the dead weight of rods is neglected and (ii) when their dead weight is taken into account .
To find out frequency of damped free vibration and rate of decay of vibration-amplitude in the system.
To find out natural frequency and damped free frequency of a torsion pendulum and , hence to find out coefficient of damping of the oil ;
To observe the phenomenon of ‘whirl’ in a horizontal light shaft and to determine the critical speed of the shaft.
To observe the mode shapes of a spring-connected, double pendulum and hence to demonstrate the phenomenon of beats.
To demonstrate the principle of tuned Undamped Dynamic Vibration Absorber and to determine the effect of mass-ratio (of main and auxiliary mass) on the spread of the resulting natural frequencies;
To take measurements of sound Pressure Level (SPL) and to carry out octave band analysis of a machine using Noise Level Meter.

Mechanical Vibrations and Noise Engineering — Ambekar A.G. — PHI
Element of Vibration Analysis — Meirovitch Leonard — TMH
Text book of Mechanical Vibrations — Dukikipati RV, Srinivas J — PHI
Mechanical Vibrations — Kelly SG, kudari SK — Schaum Series; TMH
Theory of Vibration with Applications — Thomson , W.T. — C.B.S Pub & distributors
Mechanical Vibrations — Singiresu Rao — Pearson Education
Mechanical Vibration — G.K. Grover — Nem chand and Bross , Roorkee

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