Three-Dimensional Modeling and Structured Vibration Modes of Two-Stage Helical Planetary Gears Used in Cranes

Table 1

Parameters of the example systems ().

Parameter	High-speed stage			Ring	Low-speed stage
	Sun	Planet	Carrier		Sun	Planet
Mass (Kg)	0.92	0.77	4.04	19	1.73	0.94
(Kg·mm^2)	83.6	507.65	7814.7	156997	491.2	524.43
Rotational radius (mm)	11	32.25	57.8	120	21.5	30
Pressure angle	20°			20°
Helix angle	5°			9°
Mesh stiffness (N/m)
Bearing stiffness (N/m)	()
Torsional stiffness (N/m)	; ,
Coupling stiffness (N/m)	, ,; , ,