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Condition Monitoring

The document provides calculations for various frequencies related to a mechanical system, including Ball Pass Frequency Inner (BPFI), Ball Pass Frequency Outer (BPFO), Ball Spin Frequency (BSF), and Fundamental Train Frequency (FTF). Key parameters such as shaft speed, number of rolling elements, contact angle, pitch diameter, and rolling element diameter are specified. The calculated frequencies are BPFI = 651.41 Hz, BPFO = 435.45 Hz, BSF = 95.63 Hz, and FTF = 16.12 Hz.

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muhammad daniyal
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38 views3 pages

Condition Monitoring

The document provides calculations for various frequencies related to a mechanical system, including Ball Pass Frequency Inner (BPFI), Ball Pass Frequency Outer (BPFO), Ball Spin Frequency (BSF), and Fundamental Train Frequency (FTF). Key parameters such as shaft speed, number of rolling elements, contact angle, pitch diameter, and rolling element diameter are specified. The calculated frequencies are BPFI = 651.41 Hz, BPFO = 435.45 Hz, BSF = 95.63 Hz, and FTF = 16.12 Hz.

Uploaded by

muhammad daniyal
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
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Module Title: Dynamics and Performance of Mechanical Systems

Module Code: 7ENT1081


Student ID: 23028135
Given Values
Parameter Value Source (Provided Tables)
Shaft Speed (N) 2415 rpm Table 1 (Y = 5)
Number of Rolling Elements (n) 27 Table 2 (Y = 5)
Contact Angle (β) 11° Table 3 (Y = 5)
Table 4 (X=3, Y=5 → D[5][3] = 99
Pitch Diameter (D) 99 mm
mm)
Table 5 (X=3, Y=5 → d[5][3] = 20
Rolling Element Diameter (d) 20 mm
mm)

First, converting the shaft speed to revolutions per second (RPS):


2415
N=2415 rpm= =40.25 RPS
60
Also converting the contact angle β into radians:
° 11∗π
β=11 = =0.19199radians
180
Question. 01
 Ball Pass Frequency Inner (BPFI)
It is given as:

n
2
d
(
BPFI= ∗N∗ 1+ cos ( β )
D )
Substituting values:
27
BPFI= ∗40.25 (1+ 0.1985 )
2
¿ 13.5∗40.25∗1.1985
¿ 543.375∗1.1985
BPFI=651.41 Hz

Question. 02
 Ball Pass Frequency Outer (BPFO)
It is given as:

n
2
d
(
BPFO= ∗N∗ 1− cos ( β )
D )
Substituting values:
27
BPFO= ∗40.25 ( 1−0.1985 )
2
¿ 13.5∗40.25∗0.8015
¿ 543.375∗0.8015
BPFO=435.45 Hz
Question. 03
 Ball Spin Frequency (BSF)
It is given as:

( ( ))
2
D d
BSF= ∗N∗ 1− cos ( β )
2d D
Substituting values:
99
∗40.25∗( 1−( 0.1985 ) )
2
BSF=
2∗20
¿ 2.475∗( 1−0.0394 )
¿ 99.61875∗0.9606
BSF=95.63 Hz

Question. 04
 Fundamental Train Frequency (FTF)
It is given as:

1
2
d
(
FTF = ∗N∗ 1− cos ( β )
D )
Substituting values:
1
FTF = ∗40.25∗ ( 1−0.1985 )
2
¿ 20.125∗0.8015
FTF=16.12 Hz

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