典型故障对直齿轮啮合刚度的影响
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摘要
以外啮合圆柱直齿轮为研究对象,采用有限元法计算典型故障齿的啮合刚度,分析故障齿齿面应力分布特征以及主动轮的齿向载荷分配,研究含齿根裂纹、齿面断裂、齿面点蚀故障的齿轮副对啮合刚度的影响以及载荷变化引起的裂纹故障齿的啮合刚度的变化。分析结果表明:贯通裂纹齿啮合刚度相比斜裂纹齿啮合刚度变化明显,单齿啮合刚度变化更为突出;载荷较小时裂纹故障齿啮合刚度随载荷增大而增大,载荷超过一定值后啮合刚度趋于定值;齿面断裂面的大小严重影响齿轮啮合刚度。
Taking the outside meshing spur gear as the research object, the meshing stiffness of fault gear was calculated by finite element method, the fault gear surface stress distribution characteristics and the load distribution on driving wheel tooth were analyzed, the impact of fault gear pairs with tooth root crack, tooth fracture, tooth surface pitting failure on meshing stiffness and the change of the meshing stiffness of the tooth crack gear caused by load change were studied. The analysis results show that the through crack gear meshing stiffness changes obviously than oblique crack gear, the single tooth meshing stiffness change is more prominent; under the condition of low load, crack fault tooth meshing stiffness increases as the load increases, the meshing stiffness tends to a fixed value when the load exceeds a certain value; the tooth fracture size affects the gear meshing stiffness heavily.
Taking the outside meshing spur gear as the research object, the meshing stiffness of fault gear was calculated by finite element method, the fault gear surface stress distribution characteristics and the load distribution on driving wheel tooth were analyzed, the impact of fault gear pairs with tooth root crack, tooth fracture, tooth surface pitting failure on meshing stiffness and the change of the meshing stiffness of the tooth crack gear caused by load change were studied. The analysis results show that the through crack gear meshing stiffness changes obviously than oblique crack gear, the single tooth meshing stiffness change is more prominent; under the condition of low load, crack fault tooth meshing stiffness increases as the load increases, the meshing stiffness tends to a fixed value when the load exceeds a certain value; the tooth fracture size affects the gear meshing stiffness heavily.
引文
[1] 邵苍.二齿差摆杆活齿传动齿形设计与动力学研究[D].秦皇岛:燕山大学,2016.
[2] 万志国,訾艳阳,曹宏瑞.直齿圆柱齿轮齿根裂纹扩展仿真及齿轮时变啮合刚度分析[J].应用数学和力学,2015,36(S1):14-20.WAN Z G,ZI Y Y,CAO H R.Gear Crack Propagation Simulation and Analysis of Mesh Stiffness[J].Applied Mathematics and Mechanics,2015,36(S1):14-20.
[3] 崔玲丽,张飞斌,康晨晖,等.故障齿轮啮合刚度综合计算方法[J].北京工业大学学报,2013,39(3):353-358. CUI L L,ZHANG F B,KANG C H,et al.Calculation Method of Fault Gear Meshing Stiffness[J].Journal of Beijing University of Technology,2013,39(3):353-358.
[4] PANDYA Y,PAREY A.Simulation of Crack Propagation in Spur Gear Tooth for Different Gear Parameter and Its Influence on Mesh Stiffness[J].Engineering Failure Analysis,2013,30(30):124-137.
[5] CHEN Z,SHAO Y.Dynamic Simulation of Spur Gear with Tooth Root Crack Propagating along Tooth Width and Crack Depth[J].Engineering Failure Analysis,2011,18(8):2149-2164.
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[7] JIA S,HOWARD I.Comparison of Localised Spalling and Crack Damage from Dynamic Modelling of Spur Gear Vibrations[J].Mechanical Systems & Signal Processing,2006,20(2):332-349.
[8] 郑雅萍,吴立言,常乐浩,等.齿轮轮齿误差对啮合刚度影响规律研究[J].机械传动,2014,38(5):32-35.ZHENG Y P,WU L Y,CHANG L H,et al.Study of the Influence Law of Gear Tooth Error on the Mesh Stiffness[J].Journal of Mechanical Transmission,2014,38(5):32-35.
[9] 陈锐博,张建杰,周建星,等.考虑齿面接触特性的直齿轮啮合刚度研究[J].机械传动,2016,40(10):43-47.CHEN R B,ZHANG J J,ZHOU J X,et al.Study on the Meshing Stiffness of Spur Gear Considering Contact Characteristic of Tooth Surface[J].Journal of Mechanical Transmission,2016,40(10):43-47.
[10] FENG S,PU L G,FANG M.Research Gear Coincidence Coefficient and Tooth Load Distribution Coefficient[J].Journal of Mechanical Transmission,1993(2):21-27.
[11] 王西.齿轮故障的动力学建模与轮齿裂纹刚度计算方法研究[D].重庆:重庆大学,2012.
[12] 冯松,毛军红,谢友柏.齿面磨损对齿轮啮合刚度影响的计算与分析[J].机械工程学报,2015,51(15):27-32. FENG S,MAO J H,XIE Y B.Analysis and Calculation of Gear Mesh Stiffness with Tooth Wear[J].Journal of Mechanical Engineering,2015,51(15):27-32.
[2] 万志国,訾艳阳,曹宏瑞.直齿圆柱齿轮齿根裂纹扩展仿真及齿轮时变啮合刚度分析[J].应用数学和力学,2015,36(S1):14-20.WAN Z G,ZI Y Y,CAO H R.Gear Crack Propagation Simulation and Analysis of Mesh Stiffness[J].Applied Mathematics and Mechanics,2015,36(S1):14-20.
[3] 崔玲丽,张飞斌,康晨晖,等.故障齿轮啮合刚度综合计算方法[J].北京工业大学学报,2013,39(3):353-358. CUI L L,ZHANG F B,KANG C H,et al.Calculation Method of Fault Gear Meshing Stiffness[J].Journal of Beijing University of Technology,2013,39(3):353-358.
[4] PANDYA Y,PAREY A.Simulation of Crack Propagation in Spur Gear Tooth for Different Gear Parameter and Its Influence on Mesh Stiffness[J].Engineering Failure Analysis,2013,30(30):124-137.
[5] CHEN Z,SHAO Y.Dynamic Simulation of Spur Gear with Tooth Root Crack Propagating along Tooth Width and Crack Depth[J].Engineering Failure Analysis,2011,18(8):2149-2164.
[6] WU J,YANG Y,YANG X,et al.Fault Feature Analysis of Cracked Gear Based on LOD and Analytical-FE Method[J].Mechanical Systems and Signal Processing,2018,98:951-967.
[7] JIA S,HOWARD I.Comparison of Localised Spalling and Crack Damage from Dynamic Modelling of Spur Gear Vibrations[J].Mechanical Systems & Signal Processing,2006,20(2):332-349.
[8] 郑雅萍,吴立言,常乐浩,等.齿轮轮齿误差对啮合刚度影响规律研究[J].机械传动,2014,38(5):32-35.ZHENG Y P,WU L Y,CHANG L H,et al.Study of the Influence Law of Gear Tooth Error on the Mesh Stiffness[J].Journal of Mechanical Transmission,2014,38(5):32-35.
[9] 陈锐博,张建杰,周建星,等.考虑齿面接触特性的直齿轮啮合刚度研究[J].机械传动,2016,40(10):43-47.CHEN R B,ZHANG J J,ZHOU J X,et al.Study on the Meshing Stiffness of Spur Gear Considering Contact Characteristic of Tooth Surface[J].Journal of Mechanical Transmission,2016,40(10):43-47.
[10] FENG S,PU L G,FANG M.Research Gear Coincidence Coefficient and Tooth Load Distribution Coefficient[J].Journal of Mechanical Transmission,1993(2):21-27.
[11] 王西.齿轮故障的动力学建模与轮齿裂纹刚度计算方法研究[D].重庆:重庆大学,2012.
[12] 冯松,毛军红,谢友柏.齿面磨损对齿轮啮合刚度影响的计算与分析[J].机械工程学报,2015,51(15):27-32. FENG S,MAO J H,XIE Y B.Analysis and Calculation of Gear Mesh Stiffness with Tooth Wear[J].Journal of Mechanical Engineering,2015,51(15):27-32.