第6期 俞必强等：基于动载荷谱的齿轮弯曲疲劳寿命预测 817. 论计算模型，研究了齿轮齿根弯曲疲劳损伤的有限 gear transmission system.J Mech Eng,2011,47(7):22 元模拟仿真分析方法，给出了基于雨流计数法的等 (唐进元，周炜，陈思雨.齿轮传动啮合接触冲击分析.机 效循环应力计算流程，将有限元分析得到不同裂纹 械工程学报，2011,47(7)：22) 尺寸和损伤程度状态下的危险应力应用到齿根弯曲 [7]Lou Y Z,Wang X Q.Dynamics analysis of involute gears 疲劳寿命计算中，从而通过实例计算得到了齿轮的 with asymmetric teeth.J Univ Sci Technol Beijing,2005 疲劳裂纹萌生寿命和疲劳裂纹扩展寿命，最后将两 27(3):334 (娄依志：王小群.非对称渐开线圆柱齿轮的动力学特性 部分相加得出齿轮的弯曲疲劳总寿命，其中齿根疲 北京科技大学学报，2005,27(3)：334) 劳裂纹萌生期的寿命占疲劳总寿命的比例很大.通 [8]Khabou M T,Bouchaala N,Chaari F,et al.Study of 过齿轮弯曲疲劳实验验证了理论分析的正确性 a spur gear dynamic behavior in transient regime.Mech Syst Signal Process,2011,25(8):3089 参考文献 9 Yuksel C,Kahraman A.Dynamic tooth loads of planetary gear sets having tooth profile wear.Mech Mach Theory, [1]Baragetti S.Fatigue resistance of steel and titanium PVD 2004,39(7):695 coated spur gears.Int J Fatigue,2007,29:1893 [10 Dion J L.Le Moyne S,Chevallier G,et al.Gear impacts [2]Mendi F,Can H,Kuilekci M K.Fatigue properties of and idle gear noise:experimental study and non-linear polypropylene involute rack gear reinforced with metallic dynamic model.Mech Syst Signal Process.2009,23(8): springs.Mater Des,2006,27(5):427 2608 3]Asi O.Fatigue failure of a helical gear in a gearbox.Eng [11]Faggioni M,Samani F S,Bertacchi G,et al.Dynamic op Failure Anal,2006.13(7):1116 timization of spur gears.Mech Mach Theory,2011,46(4): [4 Mathis R,Remond Y.Kinematic and dynamic simulation 544 of epicyclic gear trains.Mech Mach Theory,2009,44(2): [12 Andersson A,Vedmar L.A dynamic model to determine 412 vibrations in involute helical gears.J Sound Vib,2003, 5]Vedmar L,Andersson A.A method to determine dynamic 260(2):195 loads on spur gear teeth and on bearings.J Sound Vib, [13]Tao J X,Smith S,Duff A.The effect of overloading se- 2003,267(5):1065 quences on landing gear fatigue damage.Int J Fatigue. [6]Tang J Y,Zhou W,Chen S Y.Contact-impact analysis of 2009.31(11):1837第 6 期 俞必强等：基于动载荷谱的齿轮弯曲疲劳寿命预测 817 ·· 论计算模型，研究了齿轮齿根弯曲疲劳损伤的有限 元模拟仿真分析方法，给出了基于雨流计数法的等 效循环应力计算流程，将有限元分析得到不同裂纹 尺寸和损伤程度状态下的危险应力应用到齿根弯曲 疲劳寿命计算中，从而通过实例计算得到了齿轮的 疲劳裂纹萌生寿命和疲劳裂纹扩展寿命，最后将两 部分相加得出齿轮的弯曲疲劳总寿命，其中齿根疲 劳裂纹萌生期的寿命占疲劳总寿命的比例很大. 通 过齿轮弯曲疲劳实验验证了理论分析的正确性. 参 考 文 献 [1] Baragetti S. Fatigue resistance of steel and titanium PVD coated spur gears. Int J Fatigue, 2007, 29: 1893 [2] Mendi F, Can H, K¨ulekci M K. Fatigue properties of polypropylene involute rack gear reinforced with metallic springs. Mater Des, 2006, 27(5): 427 [3] Asi O. Fatigue failure of a helical gear in a gearbox. Eng Failure Anal, 2006, 13(7): 1116 [4] Mathis R, Remond Y. Kinematic and dynamic simulation of epicyclic gear trains. Mech Mach Theory, 2009, 44(2): 412 [5] Vedmar L, Andersson A. A method to determine dynamic loads on spur gear teeth and on bearings. J Sound Vib, 2003, 267(5): 1065 [6] Tang J Y, Zhou W, Chen S Y. Contact-impact analysis of gear transmission system. J Mech Eng, 2011, 47(7): 22 (唐进元，周炜，陈思雨. 齿轮传动啮合接触冲击分析. 机 械工程学报, 2011, 47(7): 22) [7] Lou Y Z, Wang X Q. Dynamics analysis of involute gears with asymmetric teeth. J Univ Sci Technol Beijing, 2005, 27(3): 334 (娄依志; 王小群. 非对称渐开线圆柱齿轮的动力学特性. 北京科技大学学报, 2005, 27(3): 334) [8] Khabou M T, Bouchaala N, Chaari F, et al. Study of a spur gear dynamic behavior in transient regime. Mech Syst Signal Process, 2011, 25(8): 3089 [9] Yuksel C, Kahraman A. Dynamic tooth loads of planetary gear sets having tooth profile wear. Mech Mach Theory, 2004, 39(7): 695 [10] Dion J L, Le Moyne S, Chevallier G, et al. Gear impacts and idle gear noise: experimental study and non-linear dynamic model. Mech Syst Signal Process, 2009, 23(8): 2608 [11] Faggioni M, Samani F S, Bertacchi G, et al. Dynamic op￾timization of spur gears. Mech Mach Theory, 2011, 46(4): 544 [12] Andersson A, Vedmar L. A dynamic model to determine vibrations in involute helical gears. J Sound Vib, 2003, 260(2): 195 [13] Tao J X, Smith S, Duff A. The effect of overloading se￾quences on landing gear fatigue damage. Int J Fatigue, 2009, 31(11): 1837