Simplified Kinematic Analysis of Bevel Epicyclic Gear Trains With Application to Power-Flow and Efficiency Analyses

Author:

Nelson Carl A.1,Cipra Raymond J.1

Affiliation:

1. School of Mechanical Engineering, Purdue University, 585 Purdue Mall, West Lafayette, IN 47907-2088

Abstract

A kinematic analysis technique is introduced to find the angular velocities of all links in bevel epicyclic gear trains. The method relies on previous work in graph theory. It improves on existing techniques used for analysis of planar geared mechanisms in its ability to accurately solve the kinematics of spatial geared mechanisms, particularly bevel gear trains, in a simpler manner. Usefulness of the method is demonstrated through its application to power-flow and efficiency analyses as well as its implementation in computer software. This discussion is limited to gear trains whose input and output axes are collinear, such as automotive automatic transmissions.

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Reference24 articles.

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.

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