A multi-objective optimization method for tooth surface loading performance of spiral bevel gears

Abstract

The invention relates to a spiral bevel gear tooth surface loading performance multi-objective optimization method. The method is characterized by comprising the following steps that firstly, a mathematical model of a spiral bevel gear tooth surface loading performance multi-objective optimization problem is established, and test design sample points are obtained; secondly, a tooth surface loadingcontact analysis method considering tooth root bending stress is established, tooth surface loading contact analysis is conducted on the test design sample points, target functions corresponding to the test design sample points and response values of the target functions are obtained, and then an initial sample point set including the test design sample points and the corresponding response values is obtained; thirdly, a Kriging proxy model is fitted on the basis of the initial sample point set, the mathematical model of the spiral bevel gear tooth surface loading performance multi-objectiveoptimization problem is solved, and the optimal solution set of the spiral bevel gear tooth surface loading performance multi-objective optimization problem is obtained. The method is high in calculation efficiency, high in calculation accuracy and capable of being widely applied to spiral bevel gear tooth surface loading performance multi-objective optimization.

Description

technical field [0001] The invention relates to a method for optimizing the loading performance of a tooth surface, in particular to a multi-objective optimization method for the loading performance of a spiral bevel gear tooth surface. Background technique [0002] Spiral bevel gears have the advantages of stable transmission and high load capacity, and are widely used in the fields of automobiles and aviation. In order to obtain a tooth surface with good performance, the gear engineer needs to adjust the pre-control parameters of the tooth surface several times until an ideal result is obtained. This process relies more on the experience of the engineer and requires multiple load analysis on the tooth surface. Takes a lot of time. Therefore, the optimal design of tooth surface loading performance has important engineering value. [0003] The current research on the optimization of the loading performance of the spiral bevel gear tooth surface has the following problems: ...

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Problems solved by technology

[0003] The current research on the optimization of the loading performance of the spiral bevel gear tooth surface has the following problems: First, the research focuses on the single-objective optimization problem, and the processing of the multi-objective optimization problem is also transformed into a single-objective problem. Loading performance multi-objective optimization can comprehensively evaluate each loading performance index, so as to select a more suitable tooth surface design scheme; second, the existing optimization model does not consider the factor of dedendum bending stress, and excessive dedendum bending stress Stress can cause broken teeth and is an important factor to consider in optimal design

However, the rough finite element model cannot accurately calculate the dedendum bending stress. If the fine finite element model is used, it is not suitable for multiple calculations in multi-objective optimization problems due to the large amount of calculation.

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