Simplified kinematic analysis of bevel epicyclic gear trains with application to power-flow and efficiency analyses

Journal of Mechanical Design

Volumn 127, Issue 2, 2005, Pages 278-286

  Nelson, Carl A ^a   Cipra, Raymond J ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

Bevel gear trains; Epicyclic gear trains; Graph notation; Kinematic analysis; Planetary gear trains; Spatial kinematics

Indexed keywords

BEVEL GEARS; EPICYCLIC GEARS; GRAPH THEORY; MATRIX ALGEBRA;

BEVEL GEAR TRAINS; EFFICIENCY ANALYSIS; EPICYCLIC GEAR TRAINS; GRAPH NOTATION; KINEMATIC ANALYSIS; PLANETARY GEAR TRAINS; POWER FLOW ANALYSIS; SPATIAL KINEMATICS;

KINEMATICS;

EID: 18244367374     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1814392     Document Type: Article

References (24)

1. Hsu, C. H., and Lam, K. T., 1992, "A New Graph Representation for the Automatic Kinematic Analysis of Planetary Spur-Gear Trains," ASME J. Mech. Des., 114, pp. 196-200.
2. Cleghorn, W. L., and Tyc, G., 1987, "Kinematic Analysis of Planetary Gear Trains Using a Microcomputer," Int. J. Mech. Eng. Educa., 15, pp. 57-69.
3. Gupta, K. C., 1997, Mechanics and Control of Robots, Springer-Verlag, New York.
4. Yang, A. T., and Freudenstein, F., 1973, "Mechanics of Epicyclic Bevel-Gear Trains," ASME J. Eng. Ind., 95, pp. 497-502.
5. Bagci, C.,1987, "Efficient Method for the Synthesis of Compound Planetary Differential Gear Trains for Multiple Speed Ratio Generation, and Constant Direction Chariots," Presented at the 10th Applied Mechanisms Conference, New Orleans, LA, pp. 12.
6. Fogarasy, A. A., and Smith, M. R., 1995, "A New Simplified Approach to the Kinematic Analysis and Design of Epicyclic Gearboxes," Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci., 209, pp. 49-53.
7. Lévai, Z., 1968, "Structure and Analysis of Planetary Gear Trains," J. Mech., 3, pp. 131-148.
8. Gibson, D., and Kramer, S.,1984, "Symbolic Notation and Kinematic Equations of Motion of the Twenty-Two Basic Spur Planetary Gear Trains," ASME J. Mech., Transm., Autom. Des., 106, pp. 333-340.
9. Day, C. P., Akeel, H. A., and Gutkowski, L. J., 1983, "Kinematic Design and Analysis of Coupled Planetary Bevel-Gear Trains," ASME J. Mech., Transm., Autom. Des., 105, pp. 441-444.
10. Tsai, L. W., 1988, "The Kinematics of Spatial Robotic Bevel-Gear Trains," IEEE Trans. Rob. Autom., 4. pp. 150-156.
11. Buchsbaum, F., and Freudenstein, F., 1970, "Synthesis of Kinematic Structure of Geared Kinematic Chains and Other Mechanisms," J. Mech., 5, pp. 357-392.
12. Freudenstein, F., 1971, "An Application of Boolean Algebra to the Motion of Epicyclic Drives," ASME J. Eng. Ind., 93B, pp. 176-182.
13. Ravisankar, R., and Mruthyunjaya, T. S., 1985, "Computerized Synthesis of the Structure of Geared Kinematic Chains," Mech. Mach. Theory, 20, pp. 367-387.
14. Liu, C. P., and Chen, D. Z., 2000, "On the Embedded Kinematic Fractionation of Epicyclic Gear Trains," J. Mech. Des., 122, pp. 479-483.
15. Hsu, C. H., 1992, "A Graph Notation for the Kinematic Analysis of Differential Gear Trains," J. Franklin Inst., 329, pp. 859-867.
16. Tsai, L. W., 1987, "An Application of the Linkage Characteristic Polynomial to the Topological Synthesis of Epicyclic Gear Trains," ASME J. Mech., Transm., Autom. Des., 109, pp. 329-336.
17. Yan, H. S., and Hall, A. S., 1982, "Linkage Characteristic Polynomials: Assembly Theorems, Uniqueness," ASME J. Mech. Des. Trans, 104, pp. 11-20.
18. Nelson, C. A., and Cipra, R. J., 2002, "An Integrated Method of Kinematic, Force, Power Flow, and Efficiency Analyses for 3-D Epicyclic Gear Trains," 27th Biennial ASME Mechanisms and Robotics Conference, ASME, New York, ASME Paper No. DETC2002/MECH-34315.
19. Pennesrì, E., and Freudenstein, F., 1993, "A Systematic Approach to Power-Flow and Static-Force Analysis in Epicyclic Spur-Gear Trains," ASME J. Mech. Des., 115, pp. 639-644.
20. Pennestrì., E., and Freudenstein, F., 1993, "The Mechanical Efficiency of Epicyclic Gear Trains," ASME J. Mech. Des., 115, pp. 645-651.
21. Saggere, L., and Olson, D. G., 1992, "A Simplified Approach for Force and Power-Flow Analysis of Compound Epicyclic Spur-Gear Trains," Proc. the 18th Annual ASME Design Automation Conference, ASME, New York, DE-Vol. 44-2, pp. 83-89.
22. Tuplin, W. A., 1957, "Designing Compound Epicyclic Gear Trains for Maximum Efficiency at High Velocity Ratios," Mach. Des., April, pp. 100-104.
23. Pennestrì, E., and Valentini, P. P., 2003, "A Review of Formulas for the Mechanical Efficiency Analysis of Two Degrees-of-Freedom Epicyclic Gear Trains," ASME J. Mech. Des., 125, pp. 602-608.
24. Nelson, C. A., 2002, Analysis of a Novel Nutating Speed Reducer Using Improved Gear-Train Analysis Techniques, MS Thesis, Purdue University.