Hierarchical Modeling and Dynamic Analysis of Hoist System in Electric Mining Shovel

Table 4

Natural frequencies and vibration modes.

Motion modes	Natural frequency (Hz)
Rotational vibration modes	f1 = 40; f2 = 90
Direction z vibration modes	f3 = 219; f5 = 279; f20 = 2098; f21 = 2392; f28 = 4523; f29 = 5207; f37 = 16,304; f38 = 17,874
x-y plane vibration modes	f4 = 236; f6 = 376; f7 = 418; f8 = 436; f9 = 572; f10 = 934; f14 = 1096; f15 = 1280; f19 = 2003; f22 = 2623; f31 = 7514; f32 = 7548; f33 = 10,254; f34 = 11,033
Single-point vibration modes	f11 =  f12 =  f13 = 936; f16 = 1510; f24 = 3534; f25 = 3911; f30 = 7084
All freedoms vibration modes	f17 = 1613; f18 = 1714; f23 = 3333; f26 = 3974; f27 = 4006; f35 = 15,097; f36 = 15,457