Page 1015 - The Mechatronics Handbook

FIGURE 34.1 Five speed gear.

TABLE 34.4 Expected Natural and Excitation Frequencies for the Gearbox

Table of Expected Frequencies [Hz]
Low frequencies up to 5.0
Operational frequency (OF) (speed) OF 14.16
2 ¥ OF 28.32
3 ¥ OF 42.48
Interharmonic frequency (IHF) 0.5 ¥ OF 7.08
1.5 ¥ OF 21.25
2.5 ¥ OF 35.42
Natural frequency (NF) I.NF 43.91
0.5 ¥ I.NF 21.96
2 ¥ I.NF 87.82
II.NF 322.1
0.5 ¥ II.NF 161.1
2.0 ¥ II.NF 644.2
Combination frequency (CF) 2 ¥ OF + 0.5 ¥ I.NF 50.28
OF + I.NF 58.07
2 ¥ OF + I.NF 72.23
2 ¥ OF + 2 ¥ I.NF 116.1
Tooth frequency (TF) {TF = z.OF} 1st speed gear 184.1
2nd speed gear 325.7
3rd speed gear 424.9
4th speed gear 580.6

The spectrum always included 512 spectral lines. The measurement was repeated 360 times for different
variations of the parameters K and B (the system adjustment). The values of natural and excitation
frequencies, which are expected for the gearbox to be analyzed, are shown in Table 34.4.
Task Definition
The task was originally defined in the following way: to estimate the corresponding magnitudes of
parameters K and B (this means, to recognize the adjustment of parameters used in the mechanical
dynamic system) by means of the artificial neuron network on the basis of the frequency-amplitude

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