Fault Diagnosis for a Multistage Planetary Gear Set Using Model-Based Simulation and Experimental Investigation

Table 1

Main parameters of the gear set.

Parameters	Sun gear		Planet	Ring gear		Carrier
	Number of teeth	30	30	21	72	78	—
Module (mm)	3.5	3.5	3.5	3.5		—
Pressure angle (deg)	20	20	20	20		—
Pitch diameter (mm)	105	105	73.5	252	273	—
Base diameter (mm)	98.668	98.668	69.067	236.803	256.536	—
Addendum circle diameter (mm)	112	112	80.5	245.734	266.677	—
Root diameter (mm)	96.25	96.25	64.75	260.75	281.75
Width of teeth (mm)	40.5	40.5	38.5	92		—
Material	20 NiCrMoH	20 NiCrMoH	20 NiCrMoH	42 CrMo		ZG40Mn2
Young’s modulus (Pa)	2.06 × 10^11	2.06 × 10^11	2.06 × 10^11	2.12 × 10^11		2.02 × 10^11
Poisson’s ratio	0.30	0.30	0.30	0.28		0.30
Mass (kg)	2.11	2.11	0.92	11.89		15.54
Mass moment of inertia (kg⋅mm^2)	0.360 × 10^4	0.360 × 10^4	0.081 × 10^4	24.095 × 10^4		12.729 × 10^4
Input rotation speed (rpm)	700
Input motor torque (N⋅m)	96
Output load torque (N⋅m)	200
Transmission ratio	2.08
Radial stiffness of the bearing (N/m)	10^8
Damping coefficient of the bearing (N⋅s/m)	10^5