A multi-objective correction of machine settings considering loaded tooth contact performance in spiral bevel gears by nonlinear interval number optimization

•Relationships of loaded tooth contact performance items with respect to the machine settings.•Multi-objective correction of the optimal machine settings.•Nonlinear interval number optimization in correction process.•A multi-objective correction of machine setting considering the loaded tooth contac...

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Bibliographic Details
Published in:Mechanism and machine theory Vol. 113; pp. 85 - 108
Main Authors: Ding, Han, Tang, Jinyuan, Zhou, Yuansheng, Zhong, Jue, Wan, Guoxin
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.07.2017
Subjects:
Ease-off
Loaded tooth contact performance
Multi-objective correction of machine setting
Nonlinear interval optimization
Proportional modification
Spiral bevel gears
Ease-off
Multi-objective correction of machine setting
Proportional modification
Nonlinear interval optimization
Spiral bevel gears
Loaded tooth contact performance
ISSN:0094-114X, 1873-3999
Online Access:Get full text
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Summary:•Relationships of loaded tooth contact performance items with respect to the machine settings.•Multi-objective correction of the optimal machine settings.•Nonlinear interval number optimization in correction process.•A multi-objective correction of machine setting considering the loaded tooth contact performance A novel multi-objective correction of machine settings correlating to the loaded tooth contact performance is proposed by nonlinear interval optimization algorithm for spiral bevel gears. There are three items, namely, the maximum contact pressure, the maximum loaded transmission error and the contact ratio, are set to provide a comprehensive evaluation of the gear tooth contact performance. A universal machine setting correction is first applied to identify an initial set of machine settings only considering the ease-off. Then, a basic flowchart of multi-objective machine setting correction is established by the initial universal machine setting correction and the next proportional modification considering loaded tooth contact performance. Finally, multi-objective correction based on the nonlinear interval number algorithm is performed to obtain the high tooth contact performance. In this process, there are two major parts: i) the function of loaded tooth contact performance items with respect to machine setting and load is obtained by applying a polynomial interpolation fitting, and ii) the multi-objective correction is established based on nonlinear interval number optimization considering the uncertainty which only exists in constraints. A numerical instance is provided to verify the validity of the proposed multi-objective correction.
ISSN:0094-114X
1873-3999
DOI:10.1016/j.mechmachtheory.2017.02.006