Exam Details
| Subject | Mechanical Vibration | |
| Paper | ||
| Exam / Course | Diploma in Mechanical Engineering (DMEVI)& B.Tech. MECHANICAL ENGINEERING 1-4 (BTMEVI) | |
| Department | School of Engineering & Technology (SOET) | |
| Organization | indira gandhi national open university | |
| Position | ||
| Exam Date | December, 2016 | |
| City, State | new delhi, |
Question Paper
What is vibration Discuss the main causes of vibration. How do you reduce eliminate the undesirable vibrations A force Po sin acts on a displacement x0 sin (wt — n/6)
where
Po 25 N
xo 0.05 m and w 20 n rad/sec.
What is the work done during
(i) the first second the first 1140 second
2.(a) Derive the differential equation of a spring-mass system.
(b) Find the mass m such that the system has a natural frequency of 10 Hz for the given spring-mass system as shown in Figure1 Given K1 2000 K2 1500 N/m,K3 3000 K4 K5 500 <img src='./qimages/9148-2b.jpg'>
3.(a) What are the different types of damping Explain any one with neat sketch. The springs of an automobile trailer are compressed 0.1 m under its own weight. Find the critical speed when the trailer is travelling over a road with a profile approximated by a sine wave of amplitude of 0.08 m and wavelength of 14 m. What will be the amplitude of vibration at 60 km/hr
4.(a) Briefly explain the vibration isolation and transmissibility with suitable sketch. A vibratory body of mass 150 kg supported on springs of total stiffness 1050 kN/m has a rotating unbalance force of 525 N at a speed of 6000 rpm. If the damping factor is 0.8, determine
(i) the amplitude caused by the unbalance and its phase angle.
(ii) the transmissibility.
(iii) the actual force transmitted.
5.(a) Derive an expression for the natural frequency and amplitude ratios for the system as shown in Figure 2.
<br><br> <img src='./qimages/9148-5a.jpg'> Determine the natural frequency of torsional vibrations of a shaft with two circular discs of uniform thickness at the ends. The masses of the discs are M1 500 kg and M2 1000 kg. The outer diameters are D1 125 cm and D2 190 cm. The length of the shaft is 300 cm and its diameter d 10 cm. Modulus of rigidity for the material of the shaft G 0.83 x 10^11 N/m^2.
6.(a) A three degrees of freedom system is schematically shown in Figure 3. Write down its differential equation of motion by Newton's second law. Put the equation in matrix form.
<br><br> <img src='./qimages/9148-6a.jpg'> Use Dunkerley's method to find the fundamental natural frequency of transverse vibration for the system as shown in Figure 4.
<br><br> <img src='./qimages/9148-6b.jpg'>
7. Write short notes on the following Multi-disc Shafts
(b) Stodola Method
(c) Dry Friction Damper
(d) Vibration Measuring Instruments
where
Po 25 N
xo 0.05 m and w 20 n rad/sec.
What is the work done during
(i) the first second the first 1140 second
2.(a) Derive the differential equation of a spring-mass system.
(b) Find the mass m such that the system has a natural frequency of 10 Hz for the given spring-mass system as shown in Figure1 Given K1 2000 K2 1500 N/m,K3 3000 K4 K5 500 <img src='./qimages/9148-2b.jpg'>
3.(a) What are the different types of damping Explain any one with neat sketch. The springs of an automobile trailer are compressed 0.1 m under its own weight. Find the critical speed when the trailer is travelling over a road with a profile approximated by a sine wave of amplitude of 0.08 m and wavelength of 14 m. What will be the amplitude of vibration at 60 km/hr
4.(a) Briefly explain the vibration isolation and transmissibility with suitable sketch. A vibratory body of mass 150 kg supported on springs of total stiffness 1050 kN/m has a rotating unbalance force of 525 N at a speed of 6000 rpm. If the damping factor is 0.8, determine
(i) the amplitude caused by the unbalance and its phase angle.
(ii) the transmissibility.
(iii) the actual force transmitted.
5.(a) Derive an expression for the natural frequency and amplitude ratios for the system as shown in Figure 2.
<br><br> <img src='./qimages/9148-5a.jpg'> Determine the natural frequency of torsional vibrations of a shaft with two circular discs of uniform thickness at the ends. The masses of the discs are M1 500 kg and M2 1000 kg. The outer diameters are D1 125 cm and D2 190 cm. The length of the shaft is 300 cm and its diameter d 10 cm. Modulus of rigidity for the material of the shaft G 0.83 x 10^11 N/m^2.
6.(a) A three degrees of freedom system is schematically shown in Figure 3. Write down its differential equation of motion by Newton's second law. Put the equation in matrix form.
<br><br> <img src='./qimages/9148-6a.jpg'> Use Dunkerley's method to find the fundamental natural frequency of transverse vibration for the system as shown in Figure 4.
<br><br> <img src='./qimages/9148-6b.jpg'>
7. Write short notes on the following Multi-disc Shafts
(b) Stodola Method
(c) Dry Friction Damper
(d) Vibration Measuring Instruments
Other Question Papers
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