Numerical Simulation Study on Wear of Spur Gears under Dynamic Conditions
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摘要
A numerical simulation model is proposed to predict the wear depth of gears,where Archard's wear equation and a nonlinear dynamic model are combined to establish a wear calculation model under dynamic conditions.The dynamic meshing force,determined by the non-linear dynamic model,and the sliding coefficient are used by Archard's wear equation to calculate the surface wear.Then the dynamic meshing force and sliding coefficient would be recalculated according to the surface wear state.After repeated iterations,the simulation results show that the peak and fluctuation of the meshing force increase first,then decrease,and eventually maintain stability during the process of wear.As for the distribution of wear depth,its fluctuation also increases first and then declines.Finally,the distribution of wear depth becomes V-shaped.Comparing the trends of the two factors,it is clear that the meshing force and wear depth are closely related.Moreover,the wear rate maintains a higher constant value first and then declines to a lower constant value.
A numerical simulation model is proposed to predict the wear depth of gears,where Archard's wear equation and a nonlinear dynamic model are combined to establish a wear calculation model under dynamic conditions.The dynamic meshing force,determined by the non-linear dynamic model,and the sliding coefficient are used by Archard's wear equation to calculate the surface wear.Then the dynamic meshing force and sliding coefficient would be recalculated according to the surface wear state.After repeated iterations,the simulation results show that the peak and fluctuation of the meshing force increase first,then decrease,and eventually maintain stability during the process of wear.As for the distribution of wear depth,its fluctuation also increases first and then declines.Finally,the distribution of wear depth becomes V-shaped.Comparing the trends of the two factors,it is clear that the meshing force and wear depth are closely related.Moreover,the wear rate maintains a higher constant value first and then declines to a lower constant value.
A numerical simulation model is proposed to predict the wear depth of gears,where Archard's wear equation and a nonlinear dynamic model are combined to establish a wear calculation model under dynamic conditions.The dynamic meshing force,determined by the non-linear dynamic model,and the sliding coefficient are used by Archard's wear equation to calculate the surface wear.Then the dynamic meshing force and sliding coefficient would be recalculated according to the surface wear state.After repeated iterations,the simulation results show that the peak and fluctuation of the meshing force increase first,then decrease,and eventually maintain stability during the process of wear.As for the distribution of wear depth,its fluctuation also increases first and then declines.Finally,the distribution of wear depth becomes V-shaped.Comparing the trends of the two factors,it is clear that the meshing force and wear depth are closely related.Moreover,the wear rate maintains a higher constant value first and then declines to a lower constant value.
引文
[1]Pan Dong,Zhao Yang,Li Na,et al.The wear life prediction method of gear system[J].Journal of Harbin Institute of Technology,2012,44(9):29-33.(in Chinese)
[2]Li Baoliang.Research of numerical simulation and application of line contact wear[D].Dalian:Dalian Jiaotong University,2010.(in Chinese)
[3]Flodin A,Andersson S.Simulation of mild wear in spur gears[J].Wear,1997,207(1-2):16-23.
[4]Flodin A,Andersson S.A simplified model for wear prediction in helical gears[J].Wear,2001,249(3-4):285-292.
[5]Bajpai P,Kahraman A,Anderson N E.A surface wear prediction methodology for parallel-Axis gear pairs[J].Journal of Tribology,2004,126(3):597-605.
[6]Ding H,Kahraman A.Interactions between nonlinear spur gear dynamics and surface wear[J].Journal of Sound&Vibration,2007,307(3-5):662-679.
[7]He Rongguo,Jiang Qinyu,Yao Yifu.Numerical simulation of tooth wearing for involute helical cylindrical gears[J].Lubrication Engineering,2007,32(3):88-91.(in Chinese)
[8]Zhang Yicheng.Study on tribology of starved-oil gear transmission[D].Changsha:Central South U-niversity,2011.(in Chinese)
[9]Jin Feng.A study on involute cylindrical gear wear simulation system[D].Yanji:Yanbian University,2013.(in Chinese)
[10]Liu Xianzeng,Lu Qing,Zhang Peng,et al.Modeling and numerical simulation of surface wear for helical gears[J].Journal of Anhui University of Technology(Natural Science),2015,32(2):147-151.(in Chinese)
[11]Gao Hongbo,Li Yungong,Liu Jie.Dynamic analysis of a spur gear system with tooth-wear faults based on dynamic backlash[J].Journal of Vibration and Shock,2014,33(18):221-226.(in Chinese)
[12]Wang Cheng.Nonlinear dynamic research of involute spur gear system[D].Beijing:Beijing Institute of Technology,2015.(in Chinese)
[13]Cornell R W.Compliance and stress sensitivity of spur gear teeth[J].Journal of Mechanical Design,1983,103(2):447-459.
[14]Sainsot P,Velex P,Duverger O.Contribution of gear body to tooth deflections-a new bidimensional analytical formula[J].Journal of Mechanical Design,2004,126(4):748-752.
[15]Zhang Huibo.Research on dynamics and experiment of gear mechanism of spacecraft with multiple clearances coupled[D].Harbin:Harbin Institute of Technology,2015.(in Chinese)
[2]Li Baoliang.Research of numerical simulation and application of line contact wear[D].Dalian:Dalian Jiaotong University,2010.(in Chinese)
[3]Flodin A,Andersson S.Simulation of mild wear in spur gears[J].Wear,1997,207(1-2):16-23.
[4]Flodin A,Andersson S.A simplified model for wear prediction in helical gears[J].Wear,2001,249(3-4):285-292.
[5]Bajpai P,Kahraman A,Anderson N E.A surface wear prediction methodology for parallel-Axis gear pairs[J].Journal of Tribology,2004,126(3):597-605.
[6]Ding H,Kahraman A.Interactions between nonlinear spur gear dynamics and surface wear[J].Journal of Sound&Vibration,2007,307(3-5):662-679.
[7]He Rongguo,Jiang Qinyu,Yao Yifu.Numerical simulation of tooth wearing for involute helical cylindrical gears[J].Lubrication Engineering,2007,32(3):88-91.(in Chinese)
[8]Zhang Yicheng.Study on tribology of starved-oil gear transmission[D].Changsha:Central South U-niversity,2011.(in Chinese)
[9]Jin Feng.A study on involute cylindrical gear wear simulation system[D].Yanji:Yanbian University,2013.(in Chinese)
[10]Liu Xianzeng,Lu Qing,Zhang Peng,et al.Modeling and numerical simulation of surface wear for helical gears[J].Journal of Anhui University of Technology(Natural Science),2015,32(2):147-151.(in Chinese)
[11]Gao Hongbo,Li Yungong,Liu Jie.Dynamic analysis of a spur gear system with tooth-wear faults based on dynamic backlash[J].Journal of Vibration and Shock,2014,33(18):221-226.(in Chinese)
[12]Wang Cheng.Nonlinear dynamic research of involute spur gear system[D].Beijing:Beijing Institute of Technology,2015.(in Chinese)
[13]Cornell R W.Compliance and stress sensitivity of spur gear teeth[J].Journal of Mechanical Design,1983,103(2):447-459.
[14]Sainsot P,Velex P,Duverger O.Contribution of gear body to tooth deflections-a new bidimensional analytical formula[J].Journal of Mechanical Design,2004,126(4):748-752.
[15]Zhang Huibo.Research on dynamics and experiment of gear mechanism of spacecraft with multiple clearances coupled[D].Harbin:Harbin Institute of Technology,2015.(in Chinese)