1 (a)
With a sketch explain the neats phenomenon and obtain its resultant motion

10 M

1 (b)
If x(t)\sim a_{0}\sum_{n\infty1}^{\infty}a_{\eta }\ Cosnwt+\sum_{n\infty 1}^{\infty}b_{\eta } cosnwt, where x(t) us a periodic, non harmonic, obtain expressions for a

_{0}, a_{\infty}and b_{\infity}
10 M

2 (a)
What is the effect of mass od spring on its natural frequency? Derive

10 M

2 (b)
Find the natural frequencies of Fig.Q2(b)

10 M

3 (a)
For an under damped system, derive an expression of response equation

10 M

3 (b)
A vibrating system having a mass 3kg. Spring stiffness of 100 N/m and damping coefficient of 3N-sec/m. Determine damping ratio, damped natural frequency, logarithmic decrement, ratio of two consecutive amplitudes and number of cycle after which the original amplitude is reduced to 20%.

10 M

4 (a)
Analyse the underamped system subjected to constant harmonic excitation and show the complete solution

12 M

4 (b)
A vibrating system having mass 100 kg is suspended by a spring of stiffness 19600 N/m and is acted upon by a harmonic force of 39.2 N at the undamped natural frequency. Assuming vicious damping with a coefficient of 98N-sec/m. Determine resonant frequency: phase angle at response, amplitude at resonance, the frequency corresponding to the peak amplitude and damped frequency

8 M

5 (a)
Mention the instruments used to measure displacement and acceleration discuss the relevant frequency response curve

10 M

5 (b)
Derive an expression for amplitude of whirling shafts with air damping

10 M

6 (a)
Discuss the effect f mass ratio on frequency ratio of an undamped dynamic vibration absorber with derivation

12 M

6 (b)
Two equal masses are attached to a string having high tension as shown in the Fig6(b) determine the natural frequencies of the system

8 M

7 (a)

Determine the influence coefficients of the triple pendulum system as shown in fig7(a)

10 M

7 (b)
Use the Stodola method to determine the lowest natural frequency of four degrees of freedom spring mass system as shown in fig7(b)

10 M

8 (a)
Signal analysis

5 M

8 (b)
Dynamic testing of machines.

5 M

8 (c)
Experimental modal analysis.

5 M

8 (d)
Machine condition monitoring

5 M

8(e)
Orthogonality of principle modes

5 M

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