GTF发动机星形传动系统多分流均载机理研究
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摘要
为了揭示GTF(geared turbofan)发动机星形传动系统星轮载荷分配机理,对所有齿轮的偏心误差、齿厚误差、基节误差、安装误差,轴承制造误差等分别进行了当量啮合误差分析,考虑了中心轮同时浮动导致的啮合侧隙变化而引起的浮动啮合误差,建立了针对功率流动闭环特征的各构件角位移协调的精细化均载系数计算模型,计算得到了考虑位移协调和不考虑位移协调的均载系数分别为1.051 5和1.045 2,获得了相应的均载特性曲线,为设计上确定均载系数、工艺上合理分配及控制公差提供科学依据.
In order to reveal the mechanism of loading sharing among star gears of star gear trains in geared turbofan(GTF)engine,a meshing error analysis was conducted on the eccentricity error,gear thickness error,base pitch error,assembly error,and bearing manufacturing error of gear components of the star gear trains respectively,and the floating meshing error resulting from meshing clearance variation caused by the simultaneous floating of sun gear and annular gear was considered.A refined mathematical model of loading sharing coefficient calculation was established in consideration of displacement compatibility,the calculated load sharing coefficient of two condition was 1.0505 and 1.0452,and the characteristic curve of load sharing was obtained,providing a scientific theory evidence for proper tolerance distribution and control in design and process.
In order to reveal the mechanism of loading sharing among star gears of star gear trains in geared turbofan(GTF)engine,a meshing error analysis was conducted on the eccentricity error,gear thickness error,base pitch error,assembly error,and bearing manufacturing error of gear components of the star gear trains respectively,and the floating meshing error resulting from meshing clearance variation caused by the simultaneous floating of sun gear and annular gear was considered.A refined mathematical model of loading sharing coefficient calculation was established in consideration of displacement compatibility,the calculated load sharing coefficient of two condition was 1.0505 and 1.0452,and the characteristic curve of load sharing was obtained,providing a scientific theory evidence for proper tolerance distribution and control in design and process.
引文
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[15]陆俊华,朱如鹏,靳广虎.行星传动动态均载特性分析[J].机械工程学报,2009,45(5):85-90.LU Junhua,ZHU Rupeng,JIN Guanghu.Analysis of dynamic load sharing behavior in planetary gearing[J].Chinese Journal of Mechanical Engineering,2009,45(5):85-90.(in Chinese)
[16]朱增宝,朱如鹏,鲍和云,等.偏心与安装误差对封闭差动人字齿轮传动系统静力学均载特性的影响[J].华南理工大学学报:自然科学版,2011,39(8):19-25.ZHU Zengbao,ZHU Rupeng,BAO Heyun,et al.Impacts of eccentric and installation errors on static load sharing behaviors of encased differential herringbone train[J].Journal of South China University of Technology:Natural Science Edition,2011,39(8):19-25.(in Chinese)
[17]杜进辅,方宗德,王宝宾,等.基于变形协调的行星轮系均载特性研究[J].航空动力学报,2012,27(5):1166-1171.DU Jinfu,FANG Zongde,WANG Baobin,et al.Study on load sharing behavior of planetary train based on deformation compatibility[J].Journal of Aerospace Power,2012,27(5):1166-1171.(in Chinese)
[18]董皓,方宗德,王宝宾,等.基于变形协调和间隙浮动的双路功率分流系统均载特性分析[J].航空动力学报,2013,28(4):872-877.DONG Hao,FANG Zongde,WANG Baobin,et al.Load sharing characteristics analysis of power split system based on deflection compatibility and clearance floating[J].Journal of Aerospace Power,2013,28(4):872-877.(in Chinese)
[2]Hidaka T,Terauchi Y,Fujii M.Analysis of dynamic tooth load on planetary gear[J].Bulletin of JSME,1980,23(176):315-323.
[3]Ma P,Botman M.Load sharing in a planetary gear stage in the presence of gear errors and misalignments[J].Journal of Mechanical Design,1985,107(1):4-10.
[4]Krantz T L.A method to analyze and optimize the load sharing of split path transmissions[R].NASA Technical Memorandum 107201,1996.
[5]Krantz T L,Delgado I R.Experiment study of split-path transmission load sharing[R].NASA Technical Memorandum,107202,1996.
[6]Kahraman A.Load sharing characteristics of planetary transmissions[J].Mechanism and Machine Theory,1994,29(8):1151-1165.
[7]Kahraman A.Static load sharing characteristics of transmission planetary gear sets:model and Experiment[R].SAE 1999-01-1050,1999.
[8]Kahraman A.Load sharing characteristics of planetary transmissions[J].Mechanism and Machine Theory,1994,29(8):1151-1165.
[9]Kahraman A.Static load sharing characteristics of transmission planetary gear sets:model and experiment[J].Society of Automotive Engineers,1999,108(6):1954-1963.
[10]Bodas A,Kahraman A.Influence of carrier and gear manufacturing errors on the static load sharing behavior of planetary gear sets[J].The Japan Society of Mechanical Engineers International Journal:Series C,2004,47(3):908-915.
[11]Ligata H,Kahraman A.An experimental study of the influence of manufacturing errors on the planetary gear stresses and planetary load sharing[J].Journal of Mechanical Design,2008,130(4):137-139.
[12]Singh A.Application of a system level model to study the planetary load sharing behavior[J].Journal of Mechanical Design,2005,127(12):469-476.
[13]Singh A.Load sharing behavior in epicyclic gears:physical explanation and generalized formulation[J].Mechanism and Machine Theory,2010,45(3):511-530.
[14]Wink C H,Serpa A L.Performance assessment of solution methods for load distribution problem of gear teeth[J].Mechanism and Machine Theory,2008,43(1):80-94.
[15]陆俊华,朱如鹏,靳广虎.行星传动动态均载特性分析[J].机械工程学报,2009,45(5):85-90.LU Junhua,ZHU Rupeng,JIN Guanghu.Analysis of dynamic load sharing behavior in planetary gearing[J].Chinese Journal of Mechanical Engineering,2009,45(5):85-90.(in Chinese)
[16]朱增宝,朱如鹏,鲍和云,等.偏心与安装误差对封闭差动人字齿轮传动系统静力学均载特性的影响[J].华南理工大学学报:自然科学版,2011,39(8):19-25.ZHU Zengbao,ZHU Rupeng,BAO Heyun,et al.Impacts of eccentric and installation errors on static load sharing behaviors of encased differential herringbone train[J].Journal of South China University of Technology:Natural Science Edition,2011,39(8):19-25.(in Chinese)
[17]杜进辅,方宗德,王宝宾,等.基于变形协调的行星轮系均载特性研究[J].航空动力学报,2012,27(5):1166-1171.DU Jinfu,FANG Zongde,WANG Baobin,et al.Study on load sharing behavior of planetary train based on deformation compatibility[J].Journal of Aerospace Power,2012,27(5):1166-1171.(in Chinese)
[18]董皓,方宗德,王宝宾,等.基于变形协调和间隙浮动的双路功率分流系统均载特性分析[J].航空动力学报,2013,28(4):872-877.DONG Hao,FANG Zongde,WANG Baobin,et al.Load sharing characteristics analysis of power split system based on deflection compatibility and clearance floating[J].Journal of Aerospace Power,2013,28(4):872-877.(in Chinese)