摘要
针对多因素影响下齿轮修形量难以确定的问题,基于多项式响应面代理模型和粒子群优化算法,对齿轮修形量进行优化。首先,综合考虑轴和轴承的影响,对齿轮传动装置进行参数化建模,并对齿轮模型的传动线性误差、齿面最大接触应力和单位法向载荷进行仿真分析,确定齿轮修形方式,进行复合修形;其次,根据模型参数及分析结果,确定各修形参数的范围,对修形参数进行正交试验设计,并对试验数据进行拟合,建立多项式响应面代理模型;最后,运用粒子群算法对代理模型进行寻优,得到齿轮最佳修形量。结果表明,拟合得到的多项式响应面代理模型具有良好的精度,能精确地拟合齿轮修形参数与最大接触应力的关系;利用粒子群算法得到的最佳修形量进行齿轮修形,能够使齿轮啮合过程的最大接触应力减小、传动误差减少,偏载现象得到有效改善。
Aiming at the problem that gear modification is difficult to determine under the influence of multiple factors,the gear modification is optimized based on the polynomial response surface proxy model and particle swarm optimization algorithm.Firstly,considering the influence of the shaft and the bearing,the parametric modeling of the gear transmission device is carried out,and the transmission linear error,the maximum contact stress of the tooth surface and the unit normal load of the gear model are simulated and analyzed to determine gear modification mode for composite modification.Secondly,according to the model parameters and analysis results,the range of each shape modification parameter is determined,the orthogonal test design on the practice parameter is performed,and the test data is fitted to establish a polynomial response surface model.Finally,the particle swarm optimization algorithm is used to optimize the response surface model to obtain the optimal amount of gear modification.The results show that the fitted polynomial response surface proxy model has good accuracy and can accurately simulate the relationship between the gear modification parameters and the maximum contact stress.The optimal modification amount obtained by the particle swarm algorithm is used for gear modification,the maximum contact stress of the gear meshing process is reduced,the transmission error is reduced,and the eccentric load phenomenon is effectively improved.
作者
李永华
魏武松
张旭
Li Yonghua;Wei Wusong;Zhang Xu(College of Locomotive and Rolling Stock Engineering,Dalian Jiaotong University,Dalian 116028,China)
出处
《机械传动》
北大核心
2020年第11期27-33,65,共8页
Journal of Mechanical Transmission
基金
国家自然科学基金(51875073,11702048)
国家重点研发计划(2016YFB1200504)
辽宁省教育厅科学研究项目(JDL2019005)
2016年度“辽宁省高等学校创新团队支持计划”(LT2016010)
2019年大连市科技创新基金计划(2019J11CY017)。
关键词
复合修形
正交试验法
多项式响应面
粒子群算法
Composite modification
Orthogonal test method
Polynomial response surface
Particle swarm optimization
