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Generate frequency bands around the characteristic fault frequencies of ball or roller bearings for spectral feature extraction

generates characteristic fault frequency bands `FB`

= bearingFaultBands(`FR`

,`NB`

,`DB`

,`DP`

,`beta`

)`FB`

of a roller or ball
bearing using its physical parameters. `FR`

is the rotational speed of
the shaft or inner race, `NB`

is the number of balls or rollers,
`DB`

is the ball or roller diameter, `DP`

is the
pitch diameter, and `beta`

is the contact angle in degrees. The values
in `FB`

have the same implicit units as `FR`

.

allows you to specify additional parameters using one or more name-value pair
arguments.`FB`

= bearingFaultBands(___,Name,Value)

`bearingFaultBands`

computes the different characteristic bearing
frequencies as follows:

Outer race defect frequency, $${F}_{o}=\frac{NB}{2}FR\left(1-\frac{DB}{DP}\text{cos}\left(\beta \right)\right)$$

Inner race defect frequency, $${F}_{i}=\frac{NB}{2}FR\left(1+\frac{DB}{DP}\text{cos}\left(\beta \right)\right)$$

Rolling element (ball) defect frequency, $${F}_{b}=\frac{DP}{2DB}FR\left(1-{\left[\frac{DB}{DP}\text{cos}\left(\beta \right)\right]}^{2}\right)$$

Cage (train) defect frequency,$${F}_{c}=\frac{FR}{2}\left(1-\frac{DB}{DP}\text{cos}\left(\beta \right)\right)$$

[1] Chandravanshi, M & Poddar,
Surojit. "Ball Bearing Fault Detection Using Vibration Parameters." *International
Journal of Engineering Research & Technology*. 2. 2013.

[2] Singh, Sukhjeet & Kumar, Amit
& Kumar, Navin. "Motor Current Signature Analysis for Bearing Fault Detection in
Mechanical Systems." *Procedia Materials Science*. 6. 171–177.
10.1016/j.mspro.2014.07.021. 2014.

[3] Roque, Antonio & Silva, Tiago
& Calado, João & Dias, J. "An approach to fault diagnosis of rolling bearings."
*WSEAS Transactions on Systems and Control*. 4. 2009.