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 | June, 2016 | |
| City, State | new delhi, |
Question Paper
No. of Printed Pages: IBIMEE-OOSI
B.Tech. -VIEP -MECHANICAL ENGINEERING
(BTMEVI)
Term-End Examination June, 2016 00726
BIMEE-OOS MECHANICAL VIBRATION
Time hours Maximum Marks: 70
Note: Answer any live questions. All questions carry equal marks. Use of scientific calculator is permitted.
1. Define the following terms (any four) 14x3 1/2=14 2 Amplitude Frequency Resonance Transmissibility
Phase Angle
2. The beam AB of the crane shown in Figure is a uniform steel bar of length 10 m and area of cross-section 2500 mm^2. A weight W is suspended while the crane is stationary. The cable CDEBF is made of steel and has a cross-sectional area of 100 mm^2. Neglecting the effect of the cable CDEB, find the equivalent spring constant of the system in the vertical direction. 14 <img src='./qimages/11152-2.jpg'>
3. An underdamped shock absorber is to be designed for a motorcycle of mass 200 kg [Figure 3a]. When the shock absorber is subjected to an initial vertical velocity due to a road bump, the resulting displacement time curve is to be as indicated in Figure 3b. Find the necessary stiffness and damping constants of the shock absorber, if the damped period of vibration is to be 2s and the amplitude x1 is to be reduced to one-fourth in one half cycle (i.e., x1.5 x1/ 4). Also find the minimum initial velocity that leads to a maximum displacement of 250 mm. <img src='./qimages/11152-3a.jpg'> <img src='./qimages/11152-3b.jpg'> <br>
4. Find the natural frequencies and mode shapes of a spring mass system, shown in Figure which is constrained to move in the vertical direction only. Take n <img src='./qimages/11152-4.jpg'>
5. Derive the free vibration equation for a longitudinal bar. 14
6. Derive the Rayleigh's quotient used for finding the natural frequency of continuous systems. 8
State Maxwell's reciprocity theorem. Also define flexibility influence coefficients and stiffness influence coefficients. 6
7. Find the flexibility influence coefficients of the system shown in Figure. 14 <img src='./qimages/11152-7.jpg'> <br>
8. Write short notes on the following: Critical Speed of Shafts Stiffness Vibration Absorber Underdamped System 14x3 1/2=14
B.Tech. -VIEP -MECHANICAL ENGINEERING
(BTMEVI)
Term-End Examination June, 2016 00726
BIMEE-OOS MECHANICAL VIBRATION
Time hours Maximum Marks: 70
Note: Answer any live questions. All questions carry equal marks. Use of scientific calculator is permitted.
1. Define the following terms (any four) 14x3 1/2=14 2 Amplitude Frequency Resonance Transmissibility
Phase Angle
2. The beam AB of the crane shown in Figure is a uniform steel bar of length 10 m and area of cross-section 2500 mm^2. A weight W is suspended while the crane is stationary. The cable CDEBF is made of steel and has a cross-sectional area of 100 mm^2. Neglecting the effect of the cable CDEB, find the equivalent spring constant of the system in the vertical direction. 14 <img src='./qimages/11152-2.jpg'>
3. An underdamped shock absorber is to be designed for a motorcycle of mass 200 kg [Figure 3a]. When the shock absorber is subjected to an initial vertical velocity due to a road bump, the resulting displacement time curve is to be as indicated in Figure 3b. Find the necessary stiffness and damping constants of the shock absorber, if the damped period of vibration is to be 2s and the amplitude x1 is to be reduced to one-fourth in one half cycle (i.e., x1.5 x1/ 4). Also find the minimum initial velocity that leads to a maximum displacement of 250 mm. <img src='./qimages/11152-3a.jpg'> <img src='./qimages/11152-3b.jpg'> <br>
4. Find the natural frequencies and mode shapes of a spring mass system, shown in Figure which is constrained to move in the vertical direction only. Take n <img src='./qimages/11152-4.jpg'>
5. Derive the free vibration equation for a longitudinal bar. 14
6. Derive the Rayleigh's quotient used for finding the natural frequency of continuous systems. 8
State Maxwell's reciprocity theorem. Also define flexibility influence coefficients and stiffness influence coefficients. 6
7. Find the flexibility influence coefficients of the system shown in Figure. 14 <img src='./qimages/11152-7.jpg'> <br>
8. Write short notes on the following: Critical Speed of Shafts Stiffness Vibration Absorber Underdamped System 14x3 1/2=14
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