威布尔分布随机载荷下齿轮弯曲疲劳试验分析

Experimental study of gear bending fatigue strength under random load according to three-parameter Weibull distribution

根据齿轮传动过程中普遍承受的三参数威布尔分布载荷谱,编制了试验用随机变幅疲劳载荷谱,在MTS电液伺服疲劳试验机上利用成组试验方法完成了该随机载荷作用下齿轮弯曲疲劳试验,得到了特定变异系数三参数威布尔分布载荷谱下齿轮弯曲强度的S-N曲线。试验结果证明,在服从三参数威布尔分布随机载荷谱下,随机变幅疲劳试验得出的轮齿疲劳寿命远低于恒载荷疲劳试验得出的疲劳寿命。对随机载荷下的齿轮设计的疲劳极限的理论值进行了预测,并与试验结果进行了比较。随机载荷下的理论值与试验结果相吻合,因此可以通过随机载荷谱的载荷比例系数去推断随机载荷下齿轮弯曲疲劳强度值。

Random-amplitude fatigue load spectrum for experiments is made according to the ubiquitous three-parameter Weibull distribution in gear transmission.Gear bending fatigue test under the random load is carried out on a MTS electro-hydraulic servo material fatigue tester by using group testing method,and the S-N curve of gear bending strength under three-parameter Weibull distribution with specific variation coefficients is obtained.The fatigue test results show the gear＇s endurance life under random load is far less than that under constant load when the load submits to three-parameter Weibull distribution random load spectrum.The theoretical value of fatigue limit for gear under random load is predicated and compared with test results.The theoretical value is in accordance with the test results.Therefore,the fatigue strength of gear bending under random load can be deduced according to the load ratio coefficient of random load spectrum.