基于弹流润滑理论的双圆弧齿轮传动多目标优化设计

Multi-objective Optimal Design of a Double Circular Gear Based on the Elastohydrodynamic Lubrication Theory

为提高双圆弧齿轮传动的综合技术经济指标,依据弹性流体动力润滑的理论,借助于改进的微分进化多目标优化技术及Matlab计算机仿真技术,通过建立同时追求齿面在一定范围内的纵向重合度最大、齿间最小油膜厚度最大及齿轮传动总体积最小的约束多目标优化设计数学模型,对双圆弧齿轮传动进行了有约束多目标优化设计。研究过程及结果表明,改进的微分进化多目标优化技术能有效地缩短产品的设计周期,提高产品的设计质量。

In order to improve the comprehensive technical and economic indicators of a double circular gear, based on the elastohydrodynamic lubrication theory, by use of the modified differential evolution multi-objective optimization technique and MATLAB computer simulation technology, constrained Multi-objective optimization design model was established with the maximum tooth surface longitudinal contact ratio in a certain range and the maximum value of the film smallest thickness between gear teeth and the minimum total volume of gear transmission, constrained multi-objective optimization design of a double circular gear was done. According to the research process and results, by use of the improved differential evolutionary multi-objective optimization technique, the design cycle of product can be shorten effectively, the design quality of product can be improved.