直齿轮振动传递误差可靠性及其敏感度  

Research on Transmission Error Reliability and Sensitivity of Spur Gears

作　　者：袁哲[1] 赵汉驰[1] 许丽娟[1] 

机构地区：[1]沈阳建筑大学交通与机械工程学院,辽宁沈阳110168

出　　处：《沈阳建筑大学学报（自然科学版）》2013年第4期739-743,共5页Journal of Shenyang Jianzhu University：Natural Science

基　　金：国家自然科学基金项目(51105258);住房和城乡建设部研究开发项目(2012-K3-41)

摘　　要：目的分析轮齿的齿廓随机修形参数的振动传递误差可靠度及可靠性敏感度,验证设计修形参数的正确性,减小啮入、啮出冲击,消除应力集中现象,提高齿轮的传动精度、承载能力和使用寿命.方法推导了含有修行量参数的啮合齿轮传递误差的计算公式,并在依靠有限元模型模拟一对修形齿轮的啮合过程的基础之上,将响应面法和Monte-Carlo方法结合起来研究了在随机修形参数下的振动传递误差可靠度及可靠性敏感度.结果主动轮修形角度的敏感度值为0.283,是对可靠度影响最大的参数,从动轮修形量的敏感度值为-0.151,对可靠性影响最小.通过改变敏感度较大的参数和减小各随机变量的离散范围,可以有效提高齿轮振动传递误差的可靠性.结论该方法可有效地简化复杂系统的可靠性及其敏感度的分析工作,为修形参数的优化设计奠定了基础.Gear transmission system is a complex non-linear elastic system.It is efficient to testify the correctness of designed modification parameters,effectively reduce the impact of gears,eliminate stress concentration,and improve the driving accuracy force ability and service life through analysis of the transmission error reliability and sensitivity with random modification parameters.The paper deduces the formula of transmission error,and simulates a pair of gears meshing process with FEM approach.Combination of response surface and Monte-Carlo approach are used to study the transmission error reliability and sensitivity with random modification parameters.The sensitivity value of driving gear modification angle is 0.283,which is the most influential parameter of reliability.The driven gear modification amount is-0.151,which is the minimum impact parameter on reliability.But the reliability of transmission error can be effectively improved by changing parameters that have larger sensitivity and by reducing the discrete range of random variables.This approach can effectively simplify the reliability and sensitivity analysis for complicated system,and provide a basis for modification parameters optimization.

关 键 词：齿轮 修形 传递误差 可靠性 敏感度 

分 类 号：TH113[机械工程—机械设计及理论]