Auto transmission is one of the complicated mechanical mechanisms behaving multi freedom degrees under different working conditions. The present models of auto transmission used for intelligent computing are limited by adaptability, intelligence and consistency from design to characteristics analysis. Therefore, a more efficient, intelligent and systematic method based on graph theory is proposed in this paper. Firstly, the general topological model and shifting topological transformation model of vehicle auto transmission under different working conditions are constructed in the sense of relative speed. And shifting process is mathematically interpreted to judge the topological characteristics of different shifts. Secondly, the general system graph model of planetary gear transmission is established in the sense of absolute speed. The mathematic rules of graph theory model topological transformation are defined. And the transmission characteristics analysis method of planetary gear mechanism is proposed based on graph theory. Finally, the proposed method is proved to be feasible and correct according to the demonstration analysis. Moreover, the research results provide the references for more efficient, intelligent and systematic design of vehicle auto transmission.
FU Shengping,LI Shengbo,LUO Ning
. Topological Transformation and Transmission Characteristics Analysis
of Vehicle Auto Transmission Based on Graph Theory[J]. Journal of Shanghai Jiaotong University, 2018
, 52(3)
: 348
-355
.
DOI: 10.16183/j.cnki.jsjtu.2018.03.014
[1]XUE H L, LIU G, YANG X H. A review of graph theory application research in gears[J]. Proceedings of the Institution of Mechanical Engineers. Part C: Journal of Mechanical Engineering Science, 2015, 230(10): 1-6.
[2]LAM A D K T. Analysis of kinematics of a gear steering mechanism for the tracked vehicles[J]. Journal of Science & Innovation, 2012, 2(3): 183-187.
[3]YANG X, WANG H, HAN B, et al. Graph theory based gear transmission chain configuration modeling[C]∥International Gear Conference 2014. Lyon: Chandos Publishing, 2014: 303-311.
[4]谭援强, 何娟, 杨世平, 等. NGW型两级行星传动机构构型分析[J]. 机械传动, 2013, 37(11): 18-23.
TAN Yuanqiang, HE Juan, YANG Shiping, et al. Configuration analysis of NGW two-stage planetary transmission mechanism[J]. Journal of Mechanical Transmission, 2013, 37(11): 18-23.
[5]闫清东, 李慎龙, 姚寿文. 基于图论的行星变速机构分析方法[J]. 吉林大学学报(工学版), 2010, 40(4): 1029-1033.
YAN Qingdong, LI Shenlong, YAO Shouwen. Ana-lysis method of planetary speed-shifting mechanism based on graph theory[J]. Journal of Jilin University (Engineering and Technology Edition), 2010, 40(4): 1029-1033.
[6]NIE S H, BIN L, QIU A H. Kinematic configuration analysis of planar mechanisms based on basic kinematic chains[J]. Mechanism and Machine Theory, 2011, 46(10): 1327-1334.
[7]ZHANG H, ZHONG Z, CHEN X. Systematic synthesis method and prototyping of fixed-axle vehicular electrified mechanical transmission[J]. International Journal of Automotive Technology, 2015, 16(4): 697-705.
[8]马明月, 刘艳芳, 徐向阳, 等. 行星齿轮传动方案几何相容性的自动检测[J]. 汽车工程, 2014, 36(5): 603-607.
MA Mingyue, LIU Yanfang, XU Xiangyang, et al. Automatic detection of geometric compatibility for planetary gear train[J]. Automotive Engineering, 2014, 36(5): 603-607.
[9]MU D J, WANG H Y, DING H F, et al. Multi-freedom planetary transmission scheme based on graph theory of topological synthesis[C]∥ASME 2015 Power Transmission and Gearing Conference. Boston, Massachusetts, USA: ASME, 2015: V010T11A041.
[10]CHAARI F, ABBES M S, RUEDA F V, et al. Analysis of planetary gear transmission in non-stationary operations[J]. Frontiers of Mechanical Engineering, 2013, 8(1): 88-94.
[11]刘卫华. 图论与符号模式矩阵的性质及其在智能系统中的应用研究[D]. 太原: 中北大学理学院, 2013.
[12]杨亚联, 米娇, 胡晓松, 等. 混合动力汽车行星耦合传动系统的图论建模及动力学分析[J]. 汽车工程, 2015, 37(1): 9-15.
YANG Yalian, MI Jiao, HU Xiaosong, et al. Graph theory modeling and dynamics analysis on the coupled planetary transmission system of HEV[J]. Automotive Engineering, 2015, 37(1): 9-15.
[13]杨亚联, 冯荆松. 基于图论的行星轮系的运动性分析[J].重庆理工大学学报, 2010, 24(7): 49-53.
YANG Yalian, FENG Jingsong. Study of kinematics capability on planetary gear sets based on graph theory[J]. Journal of Chongqing University of Technology, 2010, 24(7): 49-53.
[14]章颖莹. 车辆高转速传动系统换挡过程非线性动力学研究[D]. 北京: 北京理工大学机械与车辆学院, 2014.
[15]袁敏. 基于键合图理论的2K-H行星齿轮传动系统动力学分析[D]. 重庆: 重庆大学机械工程学院, 2004.
[16]唐进元, 陈海锋. 齿轮传动非线性动力学键合图建模研究[J]. 重庆大学学报, 2012, 35(2): 87-91.
TANG Jinyuan, CHEN Haifeng. Nonlinear dynamics bond graph model for a spur gear pair system[J]. Journal of Chongqing University, 2012, 35(2): 87-91.