discussion force vibration abos
TRANSCRIPT
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RESULT
Experiment Position Value Damper Distance,b (mm)
1 Open 0
2 Open 150
3 Closed 150
4 Closed 550
Experiment 1: For no damper, b= 0 (Open)
Data Recorded:
Mass beam = 1.68 kg.
Mass unbalance = 0.772 kg.
Beam, L = 700 mm @ 0.7 m.
a = 650 mm @ 0.65 m.
k = 3.0N/mm @ 3000M/m.
SAMPLE CALCULATION:
1) Angular natural frequency,
()() ()
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MOHD AIDIL MUNIR BIN KHIDER 2009617152
2) Natural frequency,
()()
()
3) Period,
()()
()()
4) Unbalanced Force,F0
F0 = mass unbalance x a x = 0.772 x 0.65 x 67.962
= 2.318 KN
5) For
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Frequency, fAmplitudes, x,
(mm)
2.0 0.0 12.566 5.41 0.0
3.0 0.0 18.85 3.05 0.0
4.0 0.0 25.133 2.70 0.0
5.0 0.05 31.416 2.16 0.065
6.0 0.05 37.699 1.80 0.065
7.0 0.075 43.982 1.55 0.097
8.0 0.15 50.265 1.35 0.194
8.1 0.2 50.894 1.33 0.259
8.2 0.2 51.522 1.32 0.259
8.3 0.3 52.150 1.30 0.388
8.4 0.4 52.779 1.29 0.517
8.5 0.4 53.407 1.27 0.517
8.6 0.65 54.035 1.26 0.841
8.7 1.05 54.664 1.24 1.358
8.8 1.45 55.292 1.23 1.876
8.9 1.2 55.920 1.22 1.552
9.0 0.8 56.549 1.20 1.035
10.0 0.25 62.832 1.08 0.323
11.0 0.15 69.115 0.98 0.194
12.0 0.1 75.398 0.90 0.129
13.0 0.05 81.681 0.83 0.065
14.0 0.05 87.965 0.77 0.065
Table 4.1.1.1: Data for Experiment 1
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MOHD AIDIL MUNIR BIN KHIDER 2009617152
Experiment 2: For damper, b= 150mm (Open)
Data Recorded:
Mass beam = 1.68 kg.
Mass unbalance = 0.772 kg.
Beam, L = 700 mm @ 0.7 m.
a = 650 mm @ 0.65 m.
Damper constant, d = 5 Ns/m.
k = 3.0N/mm @ 3000M/m.
1) Moment of Inertia, I0
()()
2) Degree of damping, D
()()()()
3) Damped Oscillation,
() ( )
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MOHD AIDIL MUNIR BIN KHIDER 2009617152
Frequency, fAmplitudes, x,
(mm)
2.0 0.0 12.566 5.41 0.0
3.0 0.0 18.85 3.05 0.0
4.0 0.0 25.133 2.70 0.0
5.0 0.0 31.416 2.16 0.0
6.0 0.0 37.699 1.80 0.0
7.0 0.0 43.982 1.55 0.0
8.0 0.05 50.265 1.35 0.065
8.1 0.05 50.894 1.33 0.065
8.2 0.05 51.522 1.32 0.065
8.3 0.1 52.150 1.30 0.129
8.4 0.1 52.779 1.29 0.129
8.5 0.1 53.407 1.27 0.129
8.6 0.1 54.035 1.26 0.129
8.7 0.1 54.664 1.24 0.129
8.8 0.1 55.292 1.23 0.129
8.9 0.1 55.92 1.22 0.129
9.0 0.15 56.549 1.20 0.194
10.0 0.15 62.832 1.08 0.194
11.0 0.15 69.115 0.98 0.194
12.0 0.15 75.398 0.90 0.194
13.0 0.15 81.681 0.83 0.194
14.0 0.15 87.965 0.77 0.194
Table 4.1.2: Data for experiment 2
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MOHD AIDIL MUNIR BIN KHIDER 2009617152
Experiment 3: For damper, b= 150mm (Closed)
Data Recorded:
Mass beam = 1.68 kg.
Mass unbalance = 0.772 kg.
Beam, L = 700 mm @ 0.7 m.
a = 650 mm @ 0.65 m.
Damper constant, d = 15 Ns/m.
k = 3.0N/mm @ 3000M/m.
1) Degree of damping, D
()()()()
2) Damped Oscillation, () ( )
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MOHD AIDIL MUNIR BIN KHIDER 2009617152
Frequency, fAmplitudes, x,
(mm)
2.0 0.0 12.566 5.41 0.0
3.0 0.0 18.85 3.05 0.0
4.0 0.0 25.133 2.70 0.0
5.0 0.0 31.416 2.16 0.0
6.0 0.0 37.699 1.80 0.0
7.0 0.0 43.982 1.55 0.0
8.0 0.0 50.265 1.35 0.0
8.1 0.0 50.894 1.33 0.0
8.2 0.0 51.522 1.32 0.0
8.3 0.0 52.150 1.30 0.0
8.4 0.0 52.779 1.29 0.0
8.5 0.0 53.407 1.27 0.0
8.6 0.0 54.035 1.26 0.0
8.7 0.0 54.664 1.24 0.0
8.8 0.0 55.292 1.23 0.0
8.9 0.0 55.92 1.22 0.0
9.0 0.0 56.549 1.20 0.0
10.0 0.15 62.832 1.08 0.194
11.0 0.15 69.115 0.98 0.194
12.0 0.1 75.398 0.90 0.129
13.0 0.1 81.681 0.83 0.129
14.0 0.1 87.965 0.77 0.129
Table 4.1.3: Data for experiment 3
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MOHD AIDIL MUNIR BIN KHIDER 2009617152
Experiment 4: For damper, b= 550mm (Closed)
Data Recorded:
Mass beam = 1.68 kg.
Mass unbalance = 0.772 kg.
Beam, L = 700 mm @ 0.7 m.
a = 650 mm @ 0.65 m.
Damper constant, d = 15 Ns/m.
k = 3.0N/mm @ 3000M/m.
1) Degree of damping, D
()()()()
2) Damped Oscillation, () ( )
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MOHD AIDIL MUNIR BIN KHIDER 2009617152
Frequency, fAmplitudes, x,
(mm)
2.0 0.0 12.566 5.37 0.0
3.0 0.0 18.85 3.46 0.0
4.0 0.0 25.133 2.68 0.0
5.0 0.0 31.416 2.15 0.0
6.0 0.0 37.699 1.79 0.0
7.0 0.0 43.982 1.53 0.0
8.0 0.0 50.265 1.34 0.0
8.1 0.0 50.894 1.33 0.0
8.2 0.0 51.522 1.31 0.0
8.3 0.0 52.150 1.29 0.0
8.4 0.0 52.779 1.28 0.0
8.5 0.0 53.407 1.26 0.0
8.6 0.0 54.035 1.25 0.0
8.7 0.0 54.664 1.23 0.0
8.8 0.0 55.292 1.22 0.0
8.9 0.0 55.92 1.21 0.0
9.0 0.0 56.549 1.19 0.0
10.0 0.0 62.832 1.07 0.0
11.0 0.05 69.115 0.98 0.065
12.0 0.05 75.398 0.89 0.065
13.0 0.05 81.681 0.83 0.065
14.0 0.05 87.965 0.77 0.065
Table 4.1.4: Data for experiment 4
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Figure 4.1: Graph versus
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DISCUSSION:
Based on the graph that has been plotted, it approve that the damper is
reducing the vibration period and amplitude. The distance of the lever arm b is also
effected the vibration as the distance of the damper came closer to beam, the
vibration that cause by the exciter has been hugely reduced. Most of the experiment,
the oscillation will occur when the frequency reached 4 Hz.
The plot of the result almost gets the same wave between them, which is get
high amplitude between 7 until 9 of frequency. The higher amplitude that we get is
from experiment 1 which is without damper. But the result is totally changed when we
do the experiment 2, 3, and 4 with damper. The value of amplitude is hugely
reduced. In case to compare the result between different positions of needle valve,
the amplitude of open needle valve is higher compare with close needle valve like we
did in experiment 2 and 3.In experiment 4 using close needle valve, we get to
minimize the value of amplitude with increasing the value of distance lever arm b.
That is the comparison between experiment 3 and 4.
The result maybe not so accurate because of several reasons.
The marker (ball pen) is not 100% suit with its holder at mechanical
recorder. This apparatus should have its own marker to get theaccurate data.
The control unit is being control manually by human.
The graph paper not smoothly rotates. These mechanical disadvantagehopes can be minimizing in the future for us to get a better result.
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MOHD AIDIL MUNIR BIN KHIDER 2009617152
CONCLUSION:
In conclusion, the objective of all this four experiment is achieved. The
resonances can be seen in different damping condition and different length. In order
to reduce the errors, some consideration has to be taken to improve the experiment.
In my opinion, this universal vibration system should its own marker (constant) to
record the data in order to get more accurate result. Therefore, it will reduce all the
errors from occur. Lastly, during taking the data make sure the equipment is been
setting like in lab sheet before start the experiment.
REFERENCE
1) Vector Mechanical for Engineering DYNAMICS), Mc Graw Hill 8th Edition.
2) Vector Dynamics and Vibration, A. R. Zamri, UiTM
3) Acoustics, waves and oscillations, by S. N. Sen (Professor.)
4) Waves And Oscillations, R N Chaudhuri 2001
5) http://personal.cityu.edu.hk/~bsapplec/theoryof.htm
6) http://en.wikipedia.org/wiki/Vibration
7) http://www.roymech.co.uk/Useful_Tables/Vibrations/Free_Vibrations.html