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

被引:58
作者
Ding, Han [1 ]
Tang, Jinyuan [1 ]
Zhou, Yuansheng [1 ]
Zhong, Jue [1 ]
Wan, Guoxin [1 ]
机构
[1] Cent South Univ, State Key Lab High Performance Complex Mfg, Changsha 410083, Hunan, Peoples R China
基金
中国国家自然科学基金;
关键词
Multi-objective correction of machine setting; Loaded tooth contact performance; Spiral bevel gears; Ease-off; Proportional modification; Nonlinear interval optimization; HYPOID GEARS; PROGRAMMING METHOD; CONVEX MODEL; APPROXIMATION; SURFACE; CONVERGENCE; SIMULATION; GENERATION; DESIGN; ERRORS;
D O I
10.1016/j.mechmachtheory.2017.02.006
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
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. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码:85 / 108
页数:24
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