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, 2015 | |
| City, State | new delhi, |
Question Paper
1. Define any four of the following terms:
Free vibration
Forced vibration
Periodic motion
Degree of freedom
Natural frequency
2. A machine of mass m 500 kg is mounted on a simply supported steel beam of length l m having a rectangular cross-section (depth 0·1 width 1·2 and Young's modulus E 2.06 X 10^11 N/m^2. To reduce the vertical deflection of the beam, a spring of stiffness k is attached at the mid-span, as shown in Figure 1. Determine the value of k needed to reduce the deflection of the beam by
25% of its original value,
50% of its original value, and
75% of its original value.
<img src='./qimages/13787-2.jpg'>
Find the sum of the two harmonic motions 10 cos and 15 cos (wt 2).
A cantilever beam carries a mass M at its free end as shown in Figure 2. A mass m falls from a height h onto the mass M and adheres to it without rebounding. Determine the resulting transverse vibrations of the beam.
<img src='./qimages/13787-3b.jpg'>
4. Find the equation of motion of the uniform rigid bar OA of length l and mass m shown in Figure 3. Also find its natural frequency.
<img src='./qimages/13787-4.jpg'>
5. Find the total response of a single degree of freedom system with m 10 kg, C 20 K =4000 Xo =0.01 m and Xo under the following conditions
An external force =F0 cos rot acts on the system with F0 =100 N and ro =10 rad/s.
Free vibration with =O.
6. Write the equations of motion for the response of a damped system under harmonic force and derive the expression for 'Magnification factor'. Also give the main characteristics of the magnification factor.
Determine the equations of motion and the natural frequencies of the system shown in Figure 4.
<img src='./qimages/13787-7a.jpg'>
What is critical speed of a shaft and what is its significance?
8. Find the natural frequencies of the tapered cantilever beam shown in Figure using deflection shape Apply Rayleigh-Ritz method.
<img src='./qimages/13787-8.jpg'>
Free vibration
Forced vibration
Periodic motion
Degree of freedom
Natural frequency
2. A machine of mass m 500 kg is mounted on a simply supported steel beam of length l m having a rectangular cross-section (depth 0·1 width 1·2 and Young's modulus E 2.06 X 10^11 N/m^2. To reduce the vertical deflection of the beam, a spring of stiffness k is attached at the mid-span, as shown in Figure 1. Determine the value of k needed to reduce the deflection of the beam by
25% of its original value,
50% of its original value, and
75% of its original value.
<img src='./qimages/13787-2.jpg'>
Find the sum of the two harmonic motions 10 cos and 15 cos (wt 2).
A cantilever beam carries a mass M at its free end as shown in Figure 2. A mass m falls from a height h onto the mass M and adheres to it without rebounding. Determine the resulting transverse vibrations of the beam.
<img src='./qimages/13787-3b.jpg'>
4. Find the equation of motion of the uniform rigid bar OA of length l and mass m shown in Figure 3. Also find its natural frequency.
<img src='./qimages/13787-4.jpg'>
5. Find the total response of a single degree of freedom system with m 10 kg, C 20 K =4000 Xo =0.01 m and Xo under the following conditions
An external force =F0 cos rot acts on the system with F0 =100 N and ro =10 rad/s.
Free vibration with =O.
6. Write the equations of motion for the response of a damped system under harmonic force and derive the expression for 'Magnification factor'. Also give the main characteristics of the magnification factor.
Determine the equations of motion and the natural frequencies of the system shown in Figure 4.
<img src='./qimages/13787-7a.jpg'>
What is critical speed of a shaft and what is its significance?
8. Find the natural frequencies of the tapered cantilever beam shown in Figure using deflection shape Apply Rayleigh-Ritz method.
<img src='./qimages/13787-8.jpg'>
Other Question Papers
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