论文:2019,Vol:37,Issue(5):886-896
引用本文:
韩琳, 刘更, 杨小辉, 韩冰. 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[J]. 西北工业大学学报
HAN Lin, LIU Geng, YANG Xiaohui, HAN Bing. Research on Weight Optimization of Multi-Stage Cylindrical Gear Drive and Effect of Objective Function Form on Optimization Results[J]. Northwestern polytechnical university

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
韩琳, 刘更, 杨小辉, 韩冰
西北工业大学 机电学院, 陕西 西安 710072
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。
关键词:    多级齿轮系统    质量优化    基本参数    布局参数    目标函数形式    遗传算法   
Research on Weight Optimization of Multi-Stage Cylindrical Gear Drive and Effect of Objective Function Form on Optimization Results
HAN Lin, LIU Geng, YANG Xiaohui, HAN Bing
School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an 710072, China
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.
Key words:    multi-stage gear drive    weight optimization    basic parameter    layout parameter    objective function form    genetic algorithm   
收稿日期: 2018-10-12     修回日期:
DOI: 10.1051/jnwpu/20193750886
基金项目: 国家自然科学基金(51535009)与高等学校学科创新引智计划(B13044)资助
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作者简介: 韩琳(1988-),西北工业大学博士研究生,主要从事齿轮传动系统计算机辅助概念设计和优化设计研究。
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