? Unit 1 : Balancing
Static and dynamic balancing, balancing of rotating masses in single and several planes, primary and secondary
balancing of reciprocating masses, balancing in single cylinder engines, balancing in multi- cylinder in-line engines,
direct and reverse cranks method -radial and V engines. Introduction to Balancing machines - Types, Classification and
Methods. (Refer chapter 1)
? Unit 2 : Gyroscope
Introduction, Precessional angular motion, Gyroscopic couple, Effect of gyroscopic couple on an airplane, Effect of
gyroscopic couple on a naval ship during steering, pitching and rolling, Stability of a Four Wheel drive moving in a
curved path, Stability of a two wheel vehicle taking a turn, Effect of gyroscopic couple on a disc fixed rigidly at a
certain angle to a rotating shaft. (Refer chapter 2)
End Sem Exam 70 Marks (Unit 3, 4, 5, 6)
? Unit 3 : Single Degree of Freedom Systems – Free Vibration
Fundamentals of Vibration : Elements of a vibratory system, vector representation of S.H.M., degrees of freedom,
Introduction to Physical and Mathematical modeling of vibratory systems: Bicycle, Motor bike and Quarter Car. types
of vibration, equivalent stiffness and damping, formulation of differential equation of motion (Newton, D’Alembert
and energy method)
Un-damped free vibrations : Natural frequency for longitudinal, transverse and torsional vibratory systems.
Damped free vibrations : Different types of damping, Viscous damping - over damped, critically damped and under
damped systems, initial conditions, logarithmic decrement, Dry friction or coulomb damping - frequency and rate of
decay of oscillations. (Refer chapters 3, 4 and 5)
? Unit 4 : Single Degree of Freedom Systems - Forced Vibrations
Forced vibrations of longitudinal and torsional systems, Frequency Response to harmonic excitation, excitation due to
rotating and reciprocating unbalance, base excitation, magnification factor, Force and Motion transmissibility, Quality
Factor. Half power bandwidth method, Critical speed of shaft having single rotor of un-damped systems.
(Refer chapter 6)
? Unit 5 : Two Degree of Freedom Systems – Un-damped Vibrations
Free vibration of spring coupled systems - longitudinal and torsional, torsionally equivalent shafts, natural frequency
and mode shapes, Eigen value and Eigen vector by Matrix method, Combined rectilinear and angular motion,
Vibrations of Geared systems. (Refer chapter 7)? Unit 6 : Measurement and Control of Vibrations, Introduction to Noise
(A) Measurement : Vibration Measuring Instruments, Accelerometers, Impact hammer, Vibration shakers,
Vibration Analyzer, Vibration based condition monitoring, Analysis of Vibration Spectrum, Standards related to
measurement of vibration.
(B) Control : Vibration control methods - passive, semi active and active vibration control, control of excitation at
the source, control of natural frequency, Vibration isolators, Tuned Dynamic Vibration Absorbers.
(C) Noise : Fundamentals of noise, Sound concepts, Decibel Level, Logarithmic addition, subtraction and
averaging, sound intensity, noise measurement, Noise control at the Source, along the path and at the receiver,
Reverberation chamber, Anechoic Chamber, Noise standards. (Unit VI – Only theoretical treatment)
(Refer chapter 8)