Table 1

Main parameters of gears"

Fig.1

High-speed thin-walled gears system"

Fig.2

Meshing model of helical cylindrical gears"

Fig.3

Housing model and node division"

Fig.4

Bull gear model and node division"

Fig.5

Pinion gear model and node division"

Fig.6

Force analysis of node i"

Fig.7

Flexible multi-body dynamics model of high-speed thin-walled gears system"

Fig.8

Test bench field diagram"

Fig.9

Comparison of experimental and simulated vibration acceleration in time domain and frequency domain"

Table 2

Comparison of vibration acceleration between experiment and simulation"

Fig.10

Flow chart of optimized design of high-speed thin-walled gear system"

Fig.11

Node offset evaluation area"

Fig.12

Schematic diagram of air noise radiation on the surface of the housing"

Fig.13

S-N curve of gear material"

Fig.14

Schematic diagram of optimization parameters of high-speed thin-walled gear"

Fig.15

Automated parametric modeling， data interface and automated simulation programs"

Fig.16

Dimensional constraint diagram"

Fig.17

Parameter-performance correlation coefficient matrix"

Fig.18

Influence of housing wall thickness on maximum vibration velocity and total mass"

Fig.19

Curve of Maximum vibration offset of shaft-shaft through hole diameter"

Table 3

The selected structural design parameters"

Fig.20

Multi-objective optimization feasible solution set"

Fig.21

Pareto optimal solution set in the optimization target domain"

Table 4

Comparison of original design and multi-objective optimization tradeoff solution performance"

Table 5

Structural parameters of the original design and multi-objective optimization"

Fig.22

Thin-walled big gear of the original design and the tradeoff solution 1"

Fig.23

Comparison of meshing torque between the original design and the tradeoff solution"