Page 18 - June

METALWORKING EQUIPMENT AND TOOLS

Thus, each polynomial corresponds to a certain natural frequency of oscillations of the
table.
Table 2 shows the parameters of the drives tuned to the corresponding polynomial for
a doubled drive cycle Tμ = 0.25 ms. When it changes, the requirements for the mechanical
elements of the drive also change. Although the ratio of the moments of inertia Kj remains
unchanged, the required stiffness changes. Magnification the parameter Tμ by a factor of K
leads to a decrease in the bandwidth by a factor of K and a decrease in the requirements for the
hardness of the drive by a factor of K2. So, for example, to tune a drive with a doubled clock
cycle Tμ = 0.5 ms, the reduced axial stiffness required for tuning the drive will decrease by 4
times (the Kc factor will decrease by 4 times), and the bandwidth of such a drive will be 2 times
less than the bandwidth the drive adjusted at Tμ = 0.25 ms [10].
Table 2.

polynomial

Butterworth IVMO Bessel Double proportions Gauss Gauss, Gauss, linear linear
parameter Binomial theorem -6dB -12dB 0,05º phase 0,5º phase

Pass band, fp, Hz, 143 116 70 31 23 54 230 183 126 168
Intersection ± 7.1 6.3 5.3 1.8 7.33 3.5 22.3 23.4 14.6 13.2
0.01dB, Hz
Overshoot% 17.0 12.6 2.35 0 6.17 1.37 5.63 3.9 3.0 3.15
Reaction to 1 0.996 1.046 1.286 1.801 1.098 0.925 1.099 0.887 0.933
outrage is relative
Settling time, ms 15.6 14.1 16.6 23.9 49.4 15.2 9.7 9.1 11.7 9.3
Rise time, ms 3 3.2 5 11.1 15.4 6.4 1.4 1.8 2.7 2
Kj 37.45 17.92 5.076 1.827 0.655 3.336 38.02 14.05 9.083 10
fa, Hz 154 158 130 86 66 115 372 332 230 306
JƩ, relative 1 0.496 0.156 0.074 0.043 0.113 1.02 0.391 0.262 0.286
Emax, relative 1 2.016 6.414 15.59 23.20 8.865 0.98 2.56 3.814 3.497
Group delay τg, “ 6.9 7.0 8.8 14 17.8 10 4.5 4.9 6 5
-3
(x10 )
Group delay 3.3 1.3 0.4 0.8 3.1 0.17 0.5 0.35 0.35 0.33
fluctuationτgf, “
-3
(x10 )
Quality factor, с -1 208 204 148 84 64 125 407 356 254 331
Speed loop 328 330 306 233 229 228 755 753 532 770
bandwidth, fv, Hz

18 Stanochniy park