Unit 1 : 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) Undamped 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. [Chapters - 1 and 2] Unit 2 : 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 undamped systems. [Chapters - 3 and 4] Unit 3 : Two Degree of Freedom Systems - Undamped 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. [Chapters - 5 and 6] Unit 4 : 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. [Chapters - 7 and 8] Unit 5 : Measurement and Control of Vibration 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, human response to vibrations. B) Control : Vibration control methods, passive, semi active (introduction to electro- rheological and magneto-rheological dampers) and active vibration control, control of excitation at the source, control of natural frequency, vibration isolators, tuned dynamic vibration absorbers, introduction to torsional damper. [Chapters - 9 and 10] Unit 6 : Introduction to Noise Fundamental of noise sound concepts, decibel level, white noise, weighted sound pressure level, logarithmic addition, subtraction and averaging, sound intensity, noise measurement, sound fields, octave band, sound reflection, absorption and transmission acoustic material and its characteristics, noise control at the source, along the path and at the receiver, pass by noise, reverberation chamber, anechoic chamber, human exposure to noise and noise standards. [Chapter - 11]
