关键词: 齿轮系统, 运动精度, 机械可靠性, 鞍点逼近

Abstract: To confirm the probability that met accuracy requirements of gear systems under the random factors effects,a practical method for kinematic accuracy reliability analysis of involute cylindrical gear system based on the gear accuracy theory and the saddlepoint approximation technology was presented.The influences of gear manufacturing error,axis run-out and assembly eccentric on gear system kinematic error were analyzed.The function expressions of mean,variance,third and fourth central moments of gear system transmission error were obtained.The probability density function and cumulative distribution function of gear system kinematic error was fitted by saddlepoint approximation technique.Based on national standards,the model for reliability analysis of gear system was established.Numerical example results proved the high accuracy and efficiency of proposed method.

Key words: gear system, kinematic accuracy, mechanical reliability , saddlepoint approximation