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Posted Date: 10 Jul 2008 Posted By: nihal Member Level: Gold
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2006 Jawaharlal Nehru Technological University, Hyderabad B.Tech THEORY OF VIBRATIONS AND AEROELASTICITY Question paper
Code No: RR412101 Set No. 1
IV B.Tech I Semester Regular Examinations, November 2006
THEORY OF VIBRATIONS AND AEROELASTICITY
(Aeronautical Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. Consider the following harmonic motions:
(a) X1 =0.5 Cos(45)t , X2=Sin(180)t
(b) X1= 2 Cos(180)t, X2=2 Cos(2)t
Is the sum (X1+X2), in each case, a periodic motion? If so, what is the period?
[16]
2. A cylinder of dia D floats half submerged in water. If the cylinder is depressed
slightly and released, determine the period of the vibration. What is this period
when D = 1 meter. [16]
3. Analysis of the oscilloscopic record of a rap test on a machine mounted on isolators
reveal that the rate of decay of the amplitude is 2.5% per cycle when the amplitude
is 1.5 cm and 4 % when the amplitude is 0.4 cm. Assume both coulomb as well as
the viscous damping are present in the system. Determine the magnitude of the
damping ratios. [16]
4. What will be the frequency ratio when the amplitude in forced vibrations is maxi-
mum. Determine the peak amplitude and the corresponding phase angle. [16]
5. For the illustrative example 5.2.1 investigate the motion of the masses for the
following different cases
(a) Both masses are given an initial velocity of 0.1 m/s simultaneously in the same
direction.
(b) Both masses are given an initial velocity 0.1 m/s simultaneously in the opposite
directions.
(c) Mass m1 is given an initial velocity of 0.1 m/s and mass m2 an initial velocity
of 0.15 m/s both in same directions.
(d) Mass m1 is given an initial velocity of 0.1 m/s and mass m2 released from the
position of rest simultaneously. [16]
6. How are the natural boundary conditions caused? Give an example.
(a) Write the frequency equation?
(b) Draw the curve for string in lateral vibration in x-y plane? [16]
1 of 2
Code No: RR412101 Set No. 1
7. Find The lowest natural freq. of transverse vibrations for the system shown schemat-
ically below by RAYLEIGH’S METHOD also taking into account the mass of the
shaft given to be 4 Kg. { E = 1.96 × 1011 , I = 10-6 m } fig7 [16]
Figure 7
8. Describe flutter in the wins of airplanes and the means to prevent flutter. [16]
? ? ? ? ?
2 o
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