Study on C-R-S curves of up-and-down test and fatigue limit stress
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摘要: 為獲得安全可靠的疲勞極限,提出了處理升降法試驗數據置信限-可靠度-應力(C-R-S)曲線方法.把升降法的應力水平和可靠度作為隨機變量,進行了最優分布檢驗和參數估計,確定置信限,按三參數Weibull分布、采用最小二乘法擬合C-R-S曲線,獲得具有一定置信限和可靠度的疲勞極限.通過38SiMnMo調質齒輪彎曲疲勞強度升降法試驗,獲得置信限為95%、可靠度為99%的彎曲疲勞極限應力為283.76MPa,位于GB3480極限應力框圖內,表明該方法是可行的.Abstract: A technique for dealing with confidence limit-reliability-stress (C-R-S) curves of up-and-down test was presented to obtain a more accurate endurance limit.Firstly,a distribution hypothesis was tested and its parameters were estimated with regard to the random variables of stress level and reliability.According to 3-parameter Weibull distribution,C-R-S curves were fitted by the least square method.Lastly,the endurance limit was obtained concerning reliability.The endurance limit with a confidence limit of 95% and a reliability of 99% was deduced as 283.76 MPa from up-and-down test of gear tooth bending tests on the quenched and tempered alloy steel 38SiMnMo.This result falling into the square chart of Chinese standard GB3480 can verify the technique presented.
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Key words:
- gear /
- endurance limit /
- up-down method /
- reliability /
- confidence limit
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