Research on Transmission Error Reliability and Sensitivity of Spur Gears

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.