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Posted Date: 26 Nov 2008 Posted By:: maxx Member Level: Bronze Points: 5 (₹ 1)

2007 Janardan Rai Nagar Rajasthan Vidyapeeth B.Tech. Mining Engineering BTAE4THEORY OF VIBRATION University Question paper
BITV TOTAL PAGES:03 BACHELOR IN TECHNOLOGY (SEMESTER  V) (AERONAUTICAL) BTAE4THEORY OF VIBRATION TIME: 03 HOURS MAX. MARKS: 75
GENERAL INSTRUCTIONS: 1. Question paper is divided into three groups 2. Each group is of 25 marks each 3. Figure to the right in bracket indicates mark 4. Assume suitable data if necessary GROUP A: Answer any three questions. Question No. 1 is compulsory. Q.1 Derive expression for work done by a vibrating system (05) Q.2 Derive expression for series and parallel connected springs in a vibrating system with n number of springs with one mass m (10) Q.3 a) What is critical damping? (10) b) Derive expression for critical damping and its co efficient of damping for a vibrating system ] Q.4 Explain vibration isolation and transmissibility with reference to installation of machines to the ground. (10) Q.5 Briefly explain the following a) LVDT, b) untuned viscous damper (10)
GROUP B: Answer any three questions. Question No. 6 is compulsory. Q.6 Write short notes on fraham's reed tachometer (05) Q.7 A gun barrel of mass 600 kg has a recoil spring of stiffness 294 KN/m if the barrel recoils 1.3m on firing determine the following a) The initial recoil velocity of the barrel. b)The critical damping coefficient of the dashpot, which is engaged at the end of the recoil stroke c)The time required for the barrel to return to a position 5 cms from the initial position (10) Q.8 Derive an expression using differential equations for a two degree of freedom system (10) Q.9 Represent harmonic vibration in complex method (10) Q.10 Classify different vibrations in detail with graphical representation (10) GROUP C: All Questions are Compulsory.
Q.11 Fill in the blanks (each question carries 2 marks)
(i) Assume a deflection curve of the system that is consistent with the __________. (ii) __________ developed the rayleigh's method. (iii) Dunkerley's equation has been useful application in case of __________ of freedom system. (iv) Matrix interaction method interactive for determining __________ & __________. (v) Holzer's method is very effective in finding __________ of the system
Q.12 Multiple choice question. (Each question carries 2 marks) (i) The maximum displacement of a vibrating body from the mean position is known as __________. (a) resonance (b) amplitude (c) ultitude (d) peak displacement. (ii) Equivalent stiffness for springs in series is given by (a) (b) (c) (d) (iii) For an ‘U' tube, open to atmosphere at both ends contains a column length ‘I' of certain liquid, the natural period of oscillation of the liquid column given by (a) (b) (c) (d) (iv) Critical damping coefficient is denoted by (a) (b) Cc (c) cc (d) (e) none of these (v) For steady state vibration phase angle varies from __________. (a) zero to 900 (b) zero to 1800 (c) zero to 2700 (d) zero to 3600
Q.13 True or false (each question carries 1 mark). (i) Vibration induced by external force is called free vibration. (ii) A vibrating system has damping C< Cc critical damping is under damped system. (iii) Air compressor, IC Engines is examples of forced vibration systems. (iv) A vibration absorber can undo vibrations completely. (v) All the vibration measuring instruments can be called as seismic instructions.
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