环路式复合行星齿轮系统功率流的杠杆分析方法
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摘要
环路式复合行星齿轮系统因其结构关系复杂,导致系统中各基本构件之间的转矩与功率关系复杂多变,形成多种功率流类型。为在设计过程中可以快速判断系统的功率流类型,提出了一种复合式杠杆分析方法。在单一行星轮系的杠杆模型的基础上,结合耦合系统的结构特性,应用叠加原理,建立了反映环路系统特性的复合式杠杆模型,并介绍了该模型在单环路系统特性分析中的应用方法。在分析中,该模型可以直观反映出各基本构件之间的转速关系,转矩关系以及功率关系,继而得出单环路系统的功率流类型。结合模型中反映行星轮系与封闭机构的特性参数的力臂,还可计算出上述特性的数值。在此基础上,介绍了该方法在双环路系统的功率流类型分析中的推广应用,为多环路系统的分析提供了新思路。
Due to the complicated structure of the loop-type compound epicyclic gear system, the torque and power relationship between the basic components in the system is complex and variable, forming a variety of power flow types. In order to quickly judge the power flow type of the system during the design process, a composite lever analysis method is proposed. Based on the lever model of a single epicyclic gear train, combined with the structural characteristics of the coupled system, used the superposition principle, a composite lever model reflecting the characteristics of the loop system is established. Then the application method of this model during analyze the characteristics of single loop system is introduced. This composite lever model is found to intuitively reflect the speed, torque and power relationship among the basic components, and then derive the power flow type of the single loop system. The values of the above characteristics can also be calculated by the force arms of the model that reflect the characteristic parameters of the epicyclic gear systems. On this basis, the application of this method in the power flow analysis of dual-loop system is introduced, which provides a new idea for the analysis of multi-loop system.
Due to the complicated structure of the loop-type compound epicyclic gear system, the torque and power relationship between the basic components in the system is complex and variable, forming a variety of power flow types. In order to quickly judge the power flow type of the system during the design process, a composite lever analysis method is proposed. Based on the lever model of a single epicyclic gear train, combined with the structural characteristics of the coupled system, used the superposition principle, a composite lever model reflecting the characteristics of the loop system is established. Then the application method of this model during analyze the characteristics of single loop system is introduced. This composite lever model is found to intuitively reflect the speed, torque and power relationship among the basic components, and then derive the power flow type of the single loop system. The values of the above characteristics can also be calculated by the force arms of the model that reflect the characteristic parameters of the epicyclic gear systems. On this basis, the application of this method in the power flow analysis of dual-loop system is introduced, which provides a new idea for the analysis of multi-loop system.
引文
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[16] 许爱芬,贾巨民,刘宁.基于改进杠杆法的行星变速机构传动方案研究[J].军事交通学院学报,2014,16(7):91-95.XU AiFen,JIA JuMin,LIU Ning.Study on the gearing scheme of planetary dear train based on improved lever analogy[J].Journal of Military Transportation University,2014,16(7):91-95 (In Chinese).
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[18] 李庆,黄宗益,李兴华.杠杆法在行星传动方案分析中的应用[J].同济大学学报,1999,27(5):581-586.LI Qing,HUANG ZongYi,LI XingHua.Application of lever analogy to automatic transmission train schematic[J].Journal of Tongji University,1999,27(5):581-586 (In Chinese).
[19] 徐琳,刘凯,崔亚辉,等.差动轮系动态跟随性能研究[J].中国机械工程,2017,28(23):2868-2875.XU Lin,LIU Kai,CUI Yahui,et al.Dynamic tracking performance analysis of differential gear trains[J].China Mechanical Engineering,2017,28(23):2868-2875 (In Chinese).
[20] 崔亚辉.功率分汇流行星传动的研究[D].西安:西安理工大学,1998:1-119.CUI Yahui.Study on the bifurcated power planetary transmission[D].Xi’an:Xi’an University of Technology,1998:1-119 (In Chinese).
[2] Li C-T,Zhang X,Peng H.Design of power-split hybrid vehicles with a single planetary gear[C]//ASME 2012 5th Annual Dynamic Systems and Control Conference joint with the JSME 2012 11th Motion and Vibration Conference.2012:857-865.
[3] Mantriota G.Performances of a parallel infinitely variable transmissions with a type II power flow[J].Mechanism and Machine Theory,2002,37(6):555-578.
[4] Mantriota G.Performances of a series infinitely variable transmission with type I power flow[J].Mechanism and Machine Theory,2002,37(6):579-597.
[5] Bottiglione F,Pinto S D,Mantriota G.Infinitely variable transmissions in neutral gear:torque ratio and power re-circulation[J].Mechanism and Machine Theory,2014,74(4):285-298.
[6] 董万福,吴斌,段钦华.封闭式行星轮系的结构与功率流研究[J].机械设计与研究,2007,23(3):82-84.DONG WanFu,WU Bin,DUAN QinHua.Structure and power flow research of the closed planetary transmission[J].Machine Deign and Research,2007,23(3):82-84 (In Chinese).
[7] 段钦华,杨实如.复杂周转轮系的传动比与效率公式推导的新方法[J].机械科学与技术,2002,21(4):571-573.DUAN QinHua,YANG ShiRu.A new method for deducing the formulas of transmission ratio and efficiency of complex epicyclical gear trains[J].Mechanical Science and Technology,2002,21(4):571-573 (In Chinese).
[8] 汪震隆,王应,胡俊生.功率分流式行星传动运动学和静力学矩阵分析方法研究[J].合肥工业大学学报(自然科学版),2011,34(8):1142-1145.WANG ZhenLong,WANG Ying,HU JunSheng.Research on matrix method of kinematics and statics for power-split planet transmission[J].Journal of Hefei University of Technology(Natural Science),2011,34(8):1142-1145 (In Chinese).
[9] 张宝锋,崔亚辉,张安,等.基于键合图理论的单环路行星传动系统建模与仿真[J].机械强度,2017,39(3):629-634.ZHANG BaoFeng,CUI YaHui,ZHANG An,et al.Modeling and simulation of single loop planetary transmission system based on bond graph theory[J].Journal of Mechanical Strength,2017,39(3):629-634 (In Chinese).
[10] Chen C,Chen J B.Efficiency analysis of two degree of freedom epicyclic gear transmission and experimental validation[J].Mechanism and Machine Theory,2015,87(5):115-130.
[11] 黄宗益.行星变速器杠杆分析法[J].传动技术,2015,29(1):3-8.HUANG ZongYi.The lever analysis for planetary transmission[J].Drive System Technique,2015,29(1):3-8 (In Chinese).
[12] 孔江生,吴炳胜,王建民.行星传动封闭功率流分析法[J].农业机械学报,2005,36(6):92-93.KONG JiangSheng,WU BingSheng,WANG JianMin.Power analyzed way of plant gear box[J],Transactions of the Chinese Society for Agricultural Machinery,2005,36(6):92-93 (In Chinese).
[13] 周新涛,崔亚辉,闫海涛,等.单自由度行星轮系运动特性的信号流图分析法[J].机械强度,2018,40(5):1143-1149.ZHOU XinTao,CUI YaHui,YAN HaiTao,et.al.Signal flow graph analysis method for kinematic characteristics of single degree of freedom planetary gear train[J].Journal of Mechanical Strength,2018,40(5):1143-1149 (In Chinese).
[14] Benford H,Leising M.The lever analogy:a new tool in transmission analysis[J].SAE Technical Paper,1981:810102.
[15] 白传鑫,刘凯,马朝锋.基于杠杆法的两行星排行星齿轮变速器传动方案分析[J].现代制造技术与装备,2018(1):55-58.BAI ChuanXin,LIU Kai,MA ChaoFeng.Analysis of transmission scheme of two planetary automatic transmission based on lever method[J].Modern Manufacturing Technology and Equipment,2018(1):55-58 (In Chinese).
[16] 许爱芬,贾巨民,刘宁.基于改进杠杆法的行星变速机构传动方案研究[J].军事交通学院学报,2014,16(7):91-95.XU AiFen,JIA JuMin,LIU Ning.Study on the gearing scheme of planetary dear train based on improved lever analogy[J].Journal of Military Transportation University,2014,16(7):91-95 (In Chinese).
[17] 崔亚辉,阮忠唐,曹惟庆.封闭差动行星传动研究[J].机械科学与技术,1998,17(1):73-75.CUI YaHui,RUAN ZhongTang,CAO WeiQing.Research on closed differential gear train[J].Mechanical Science and Technology,1998,17(1):73-75.(in chinese)
[18] 李庆,黄宗益,李兴华.杠杆法在行星传动方案分析中的应用[J].同济大学学报,1999,27(5):581-586.LI Qing,HUANG ZongYi,LI XingHua.Application of lever analogy to automatic transmission train schematic[J].Journal of Tongji University,1999,27(5):581-586 (In Chinese).
[19] 徐琳,刘凯,崔亚辉,等.差动轮系动态跟随性能研究[J].中国机械工程,2017,28(23):2868-2875.XU Lin,LIU Kai,CUI Yahui,et al.Dynamic tracking performance analysis of differential gear trains[J].China Mechanical Engineering,2017,28(23):2868-2875 (In Chinese).
[20] 崔亚辉.功率分汇流行星传动的研究[D].西安:西安理工大学,1998:1-119.CUI Yahui.Study on the bifurcated power planetary transmission[D].Xi’an:Xi’an University of Technology,1998:1-119 (In Chinese).