Multi-Objective Optimization of Hypoid Gears to Improve Operating Characteristics

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Abstract

In this paper a multi-objective optimization method of hypoid gears correlating to the operating characteristics is presented. Optimal design of hypoid gears demands that multiple objectives be simultaneously achieved. Four objectives considered in this study are the minimization of the maximum tooth contact pressure, transmission error and the average temperature in the gear mesh, and the maximization of the mechanical efficiency of the gear pair. The goals of the optimization are achieved by the optimal modification of meshing teeth surfaces. In practice, these modifications are introduced by applying the appropriate machine tool setting for the manufacture of the pinion and the gear, and/or by using a tool with an optimized profile. Theherefore, the main goal of this study is to systematically define optimal tool geometry and machine tool settings to simultaneously minimize tooth contact pressure, angular displacement error of the driven gear and average temperature in the gear mesh, and to maximize the efficiency of the gear pair. The proposed optimization procedure relies heavily on the loaded tooth contact analysis for the prediction of tooth contact pressure distribution and transmission errors, and on the mixed elasto-hydrodynamic analysis of lubrication to determine temperature and efficiency. A fast elitist nondominated sorting genetic algorithm (NSGA-II) is applied to solve the model. The effectiveness of the method is demonstrated by using hypoid gear examples. The obtained results have shown that by the optimization considerable reductions in the maximum tooth contact pressure, transmission error and average temperature, and rise in the efficiency of the gear pair are achieved.

Original languageEnglish
Title of host publicationMechanisms and Machine Science
PublisherSpringer Netherlands
Pages905-914
Number of pages10
DOIs
Publication statusPublished - Jan 1 2019

Publication series

NameMechanisms and Machine Science
Volume73
ISSN (Print)2211-0984
ISSN (Electronic)2211-0992

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Keywords

  • Hypoid Gear
  • Multi-Objective Optimization
  • Operating Characteristics

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Simon, V. (2019). Multi-Objective Optimization of Hypoid Gears to Improve Operating Characteristics. In Mechanisms and Machine Science (pp. 905-914). (Mechanisms and Machine Science; Vol. 73). Springer Netherlands. https://doi.org/10.1007/978-3-030-20131-9_90