Research on Weight Optimization of Multi-Stage Cylindrical Gear Drive and Effect of Objective Function Form on Optimization Results

多级圆柱齿轮系统重量优化及目标函数的形式对优化结果的影响研究

School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an 710072, China

Received: 12 October 2018

Abstract

The minimal weight design problem of multi-stage gear drive is always the key issue in engineering research. Generally, the weight of gear drive system is mainly made up by the weight of gears, shafts and gearbox. While, the weight of these three parts are mainly determined by the basic parameters and layout parameters of gears and shafts. Thus, a new optimization model for the optimization of basic parameters and layout parameters of cylindrical gear drives was proposed. To verify the applicability, the present model is applied to the weight optimization problem of a ZSY three-stage cylindrical gear reducer and solved by genetic algorithm. Meanwhile, three different formats of objective functions that can realize the object of weight optimization are applied to the optimization problem individually. Comparing their optimal results, the best fitting format of objective function has been found.

摘要

多级齿轮系统的最小重量设计问题一直是工程研究的重点。一般来说，齿轮系统的重量主要由齿轮质量、轴质量以及箱体质量三部分组成。而这三部分质量的值则主要由齿轮和轴的基本参数和布局参数决定。因此，提出了一种新型的可同时对任意级数的圆柱齿轮传动系统的基本参数和布局参数进行优化设计的优化模型。该模型被应用于一种ZSY型3级圆柱齿轮减速器的质量优化设计问题上，并采用遗传算法进行优化问题的求解，从而对模型的适用性进行了验证。同时，3种不同形式的可实现质量优化目标的目标函数被逐个应用于上述优化问题中。通过对比分析它们的优化结果，从中找出了最合适的目标函数形式。