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. 2: Single Degree of Freedom Systems - Forced Vibrations Forced vibration 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. 3: Two Degree of Freedom Systems - Undamped Vibrations Free vibration of spring coupled system - 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 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. 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) 6: Introduction to Noise
