轮齿修形对斜齿轮传递误差影响的比较性分析

摘要

Gear modification can improve contact load distribution on gear teeth surface and reduce transmission error.It is an important measure to reduce a transmission system' s vibration and noise.To clarify the mapping relationship between gear modification parameters and transmission error has very important theoretical and engineering significances for guiding gear modification and improving transmission performance.As a gear transmission system has a very complexnonlinearity,however,it is difficult to derive an analytical expression for the above mapping relationship.Here,taking a helical gear pair as a study object,taking tooth profile modification and tooth direction one as arguments or parameters,the relation function between gear modification and dynamic transmission error fluctuation was fitted with the response surface method and Kriging method,respectively.Then gear modification parameters were further optimized.The simulation results based on Romax were taken as a benchmark,accuracies of the two fitting methods were compared.The results showed that Kriging method has a higher accuracy to fit the relation between gear modification and dynamic transmission error fluctuation than the response surface one does;the tooth direction modification has a larger influence on the dynamic transmission error fluctuation than the tooth profile one does.%齿轮修形是改善齿面受力、减小传递误差,进而降低传动系统振动和噪声的重要措施.明确轮齿修形参数和齿轮副传递误差之间的映射关系,对于指导齿轮修形、改善传动性能具有重要的理论与工程意义.但由于齿轮传动系统具有复杂的非线性,理论上难以给出轮齿修形参数和传递误差之间的解析表达.以斜齿轮副为研究对象,以齿廓修形量和齿向修形量为自变量,分别运用响应面法和Kriging法拟合出齿轮修形量与动态传递误差波动量间的关系函数,据此进一步优化修形参数.在此基础上,以基于Romax的仿真结果为基准,对比了两种拟合方法的精确度.对比结果表明,在拟合齿轮修形参数与动态传递误差波动量间的关系函数时,Kriging法较响应面法具有更高的准确度.最后,分析了齿廓和齿向修形参数对动态传动误差响应的敏感度.结果表明,动态传递误差波动量对齿向修形量的变化更为敏感.