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MV1306 MECHANICS OF MACHINES – II
UNIT I FORCE ANALYSIS OF MECHANISMS: Static, Inertia and combined force analysis – graphical and analytical method – slider crank mechanism and four bar mechanism, turning moment diagram and flywheel – applications in engine, punching presses.
UNIT II BALANCING: Static and dynamic balancing – balancing of rotating masses – balancing of several masses in different planes – balancing of rotors, balancing machine, unbalance due to reciprocating parts – balancing of inline engines – firing order – balancing of V and W engines – balancing of radial engines – Lanchester technique of engine balancing.
UNIT III FREE VIBRATION OF SINGLE DEGREE FREEDOM SYSTEMS: Periodic motion – non harmonic periodic motion – Fourier analysis – undamped free vibration – linear and torsion solution – natural frequency of single degree freedom system – Bifilar, Trifler suspensions – Free vibrations with viscous damping of single degree freedom system and solution – logarithmic decrement.
UNIT IV FORCED VIBRATION OF SINGLE DEGREE FREEDOM SYSTEMS: Forced vibration of single degree freedom system with damping – reciprocating and rotating unbalance – vibration isolation and transmissibility – base excitation – self excited vibrations with examples.
UNIT V TWO AND MULTI DEGREE FREEDOM SYSTEMS: System with two degrees of freedom – shaft with two rotors, vehicle suspension – vibration absorber – torsion vibration dampers, system with many degrees of freedom – Holzer’s analysis of free torsion vibrations with multi rotor systems – three rotor system – geared system – method of influence coefficients, continuous system – axial vibration of bars, lateral vibration of cantilevers, simply supported beams – Rayleigh’s method, torsion vibrations of shafts, Dunkerley’s method for lateral and torsion vibration problem.
(NB: Using method of influence coefficients (not for Exam) student may be asked to write computer programs for a few problems e.g. 3 mass 3 spring system, beam with 3 lumped masses – natural frequencies and mode shapes may be determined. Internal marks can be awarded for the work).
TEXT BOOKS 1. Grover.G.K., “Mechanical vibrations”, 7th Edition, Nem Chand & Bros, Roorkee, India, 2001. 2. Thomson, W.T. “Theory of Vibration with Applications”, 3rd Edition, CBS Publishers, New Delhi, 2002.
REFERENCES 1. Shingley, J.E. & John Joseph Uivker, Jr., “Theory of Machines and Mechanisms”, 2nd edition, McGraw – Hill International Editions, London, 1981. 2. Ghosh A. and Malik, A.M. “Theory of Mechanisms and machines”, 2nd edition, Affiliated East – West Press Pvt. Ltd., New Delhi, 1988. 3. Francis. TSE. Ivan E-Morse Rolland T. Hinkle, “Mechanical Vibrations”, 2nd edition, CBS Publishers and Distributed, India, 1983. 4. Rao, J.S., and Dukkipatti, R.V., “Mechanism and machinery theory”, 2nd Edition, New age international, Mumbai, 1992.
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