APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
FIRST SEMESTER M.TECH DEGREE EXAMINATION, DECEMBER 2015

Mechanical Engineering

(Machine Design)
01ME6101: Advanced Theory of Vibration

Max. Marks : 60 Duration: 3 Hours
Answer any nvofull questions from each module.

Part A (Modules 1 & 11) - Max marks: 18
1.(a) Determine the response of a single degree spring mass system subjected to unit
impulsive force. (5
marks)
(4
(0) Define 'Transmissibility' and discuss its variation with frequency ratio. marks)

2. (a) Explain with neat sketch, the basic working principle of a dynamic vibration absorber.
(5 marks)
(0) A machine of 500 kg mass is supported ona spring of 10°N/m stiffness. if the machine has
a rotating unbalance of 0.25kg-m, determine (i) the force transmitted to the floor at 1200
rev/min, and (ii) the amplitude at this speed. (4 marks)

3. (a) A weight of 300N is resting on two springs of 3000 N/m stiffness each and a dashpot
of damping co. efficient 150M s/m as shown in figure. ifan initial velocity of 10 cm/s is
given to the mass at its equilibrium position, what will be the displacement from the
equilibrium position at the end of first second. (5 marks)

302८ Nim 3600 ॥/ಗಾ

(௦) Explain the terms Coordinate coupling and Principal coordinates. (4 marks)

Part B (Modules 111 & IV) - Max marks: 18
4. (a) Determine the equation of motion of the double pendulum of length h and as shown

١ Lagrange's ௫008.

in figure for small oscillation using 3212 (5 marks)

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