The generalized lever is a new tool in gear train representation. It extends the traditional concept of a lever representation of a planetary gear set to 1 that includes negative lever ratios. This allows an exhaustive permutation of the nodes of a lever, thereby leading to all possible topological arrangements of a planetary gear train. Consequently, we achieve a compact representation of large families of planetary gear trains, which would otherwise have to be dealt with on a case-by-case basis.
Issue Section:
Research Papers
1.
Mathis
, R.
, and Remond
, Y.
, 1999, “A New Approach to Solving the Inverse Problem for Compound Gear Trains
,” ASME J. Mech. Des.
0161-8458, 121
(1
), pp. 98
–106
.2.
Tanaka
, M.
, “Matrix Methods in Planetary Gear Train Analyses
,” SAE Paper No. 841190.3.
Salgado
, D. R.
, and Castillo
, J. M.
, 2005, “A Method for Detecting Degenerate Structures in Planetary Gear Trains
,” Mech. Mach. Theory
0094-114X, 40
(8
), pp. 948
–962
.4.
Hsu
, C. -H.
, and Hsu
, J. -J.
, 1997, “An Efficient Methodology for the Structural Synthesis of Geared Kinematic Chains
,” Mech. Mach. Theory
0094-114X, 32
(8
), pp. 957
–973
.5.
Tsai
, L. -W.
, 1987, “Application of the Linkage Characteristic Polynomial to the Topological Synthesis of Epicyclic Gear Trains
,” ASME J. Mech., Transm., Autom. Des.
0738-0666, 109
(3
), pp. 329
–336
.6.
Kim
, J.
, and Kwak
, B.
, 1990, “Application of Edge Permutation Group to Structural Synthesis of Epicyclic Gear Trains
,” Mech. Mach. Theory
0094-114X, 25
(5
), pp. 563
–574
.7.
Ravisankar
, R.
, and Mruthyunjaya
, T. S.
, 1985, “Computerized Synthesis of the Structure of Geared Kinematic Chains
,” Mech. Mach. Theory
0094-114X, 20
(5
), pp. 367
–387
.8.
Staicu
, S.
, 2008, “Inverse Dynamics of a Planetary Gear Train for Robotics
,” Mech. Mach. Theory
0094-114X, 43
, pp. 918
–927
.9.
Hsieh
, L. -C.
, Lee
, H. -S.
, and Wang
, Z. -Y.
, 2008, “The Design of Planetary Gear Trains: Application of Optical Fiber Polishers
,” Int. J. Mech. Eng. Educ.
0306-4190, 36
(1
), pp. 16
–36
.10.
Ping
, Y.
, 2008, “Topological Expression Mode Approach of Satellite Gear Mechanism for Intelligent CAD
,” Int. J. Manuf. Technol. Manage.
1368-2148, 14
(1/2
), pp. 110
–117
.11.
Yang
, B.
, Ping
, Y.
, and Tiaosheng
, X.
, 2008, “Optimum Model and Parametric Matching Selection for Closed Satellite Gear Trains
,” Int. J. Mater. Struct. Integr.
1745-0055, 1
(4
), pp. 323
–333
.12.
Inalpolat
, M.
, and Kahraman
, A.
, 2008, “Dynamic Modelling of Planetary Gears of Automatic Transmissions
,” Proc. IMechE Part K: Multi-body Dynamics
, 222
, pp. 229
–242
.13.
Benford
, H.
, and Leising
, M.
, “The Lever Analogy: A New Tool in Transmission Analysis
,” SAE Paper No. 810102.Copyright © 2010
by American Society of Mechanical Engineers
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