Subject Code:2160109
GUJARAT TECHNOLOGICAL UNIVERSITY
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BE - SEMESTER-VI (NEW) EXAMINATION - WINTER 2018Subject Name:Theory of Vibration
Time: 02:30 PM TO 05:00 PM
Instructions:
1. Attempt all questions.
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2. Make suitable assumptions wherever necessary.3. Figures to the right indicate full marks.
Q.1 (a) Define Vibration? What are the main causes of Vibration? 03
(b) State role of Spring, Mass and Damper in any vibrating system. 04
(c) Derive the equation to calculate natural frequency of Simple pendulum. 07
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Q.2 (a) Explain simple harmonic motion with an example. 03(b) Using Energy method derive equation to find frequency of spring-mass system. 04
(c) Define: Natural Frequency, Damped natural frequency, Time period, Periodic motion, Amplitude, Degree of freedom, Resonance. 07
OR
(c) Write a note on Beats phenomenon. 07
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Q.3 (a) Explain series and parallel connections of Spring. 03(b) Write a note on Torsional Vibration of single rotor system. 04
(c) Define Damping. Explain Viscous damping and Structural damping. 07
OR
(c) A vertical spring mass system has a mass of 1 kg and initial deflection of 0.4 cm. Find the spring stiffness and the natural frequency of the system. 07
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Q.4 (a) Define Critical damping and damping ratio? 03(b) With neat sketch explain behavior of Over damped, Under damped and Critically damped systems. 04
(c) Write a short note on Vibration Isolation. 07
OR
(c) Explain Transmissibility. 07
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Q.5 (a) With neat sketch explain working of Vibration measuring instruments. 03(b) What is the difference between vibration isolator and absorber? 04
(c) With neat sketch explain the working of Vibration absorber. 07
OR
(a) With neat sketch explain working of Frequency measuring instruments. 03
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(b) What is Resonance? How it can be avoided? 04(c) Explain Steady state and Transient vibration. 07
OR
(a) Find the solution of equation of motion with harmonic force. 03
(b) Explain Critical speed or Whirling speed of shaft. 04
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(c) Define Free vibration & Forced vibration with examples. 07OR
(b) Derive an expression for frequency of torsional vibration of two rotor systems. 04
Date:27/11/2018
Total Marks: 70
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