SIGNAL FLOW-GRAPHS FOR SPATIAL GEAR TRAINS

被引:6
作者
MA, R
GUPTA, KC
机构
[1] Department of Mechanical Engineering, University of Illinois at Chicago, Chicago, IL
关键词
D O I
10.1115/1.2919367
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
Signal flow graphs (SFG) have been applied in many areas such as circuit analysis, controls, mechanical vibrations, statistics, and operations research. They have also been applied to the analysis of planetary gear trains which are planar, i.e., where all of the gear axes are parallel. In this paper, signal flow graphs are applied to spatial planetary gear trains. Some additional terminology and rules which are needed for this important application are developed in this paper and illustrated by examples. The significance of applying SFG to a gear system is that the graph describes the interrelationship among the system variables by linking causes and effects, offers the information about the topology of system connection, and the kinematic equations of motion can be written easily by inspection. In this way, it helps us to visualize and understand spatial gear train systems better.
引用
收藏
页码:326 / 331
页数:6
相关论文
共 16 条
[1]  
Mason S.J., Feedback Theory: Some Properties of Signal Flow Graphs, Proc. Inst. Radio Engrs, 41, pp. 1144-1156, (1953)
[2]  
Wojnarowski J., Lidwin A., The Application of Signal Flow Graphs-The Kinematic Analysis of Planetary Gear Trains, Mechanism and Machine Theory, 10, IB, pp. 17-31, (1975)
[3]  
Wojnarowski J., The Graph Method of Determining the Loads in Complex Gear Trains, Mechanism and Machine Theory, 11, pp. 103-121, (1976)
[4]  
Allen R.R., Multiport Models for the Kinematic and Dynamic Analysis of Gear Power Transmissions, ASME Journal of Mechanical Design, 101, 2, pp. 258-267, (1979)
[5]  
Gibson D., Kramer S., Symbolic Notation and Kinematic Equations of Motion of the Twenty-Two Basic Spur Planetary Gear Trains, ASME Journal of Mechanisms, Transmissions, and Automation in Design, 106, pp. 333-340, (1984)
[6]  
Freudenstein F., An Application of Boolean Algebra to the Motion of Epicyclic Drives, ASME Journal of Engineering for Industry, 93, pp. 176-182, (1971)
[7]  
Freudenstein F., Yang A.T., Kinematics and Statics of Coupled Epicyclic Spur-Gear Train, Mechanisms and Machine Theory, 7, pp. 263-275, (1972)
[8]  
Yang A.T., Freudenstein F., Mechanics of Epicyclic Bevel-Gear Trains, ASME Journal of Engineering for Industry, 95, pp. 497-501, (1973)
[9]  
Day C.P., Akeel H.A., Gutkowski L.J., Kinematic Design and Analysis of Coupled Planetary Bevel-Geared Trains, ASME Journal of Mechanisms, Transmissions, and Automation in Design, 105, 3, pp. 441-445, (1983)
[10]  
Freudenstein F., Longman R.W., Chen C.K., Kinematic Analysis of Robotic Bevel Gear Trains, ASME Journal of Mechanisms, Transmissions, and Automation in Design, 106, pp. 371-376, (1984)