Application of Finite Element Analysis for Determination of Load Share, Real Contact Ratio, Precision of Motion, and Stress Analysis

Author:

Litvin F. L.1,Chen J.-S.1,Lu J.1,Handschuh R. F.2

Affiliation:

1. Department of Mechanical Engineering, The University of Illinois at Chicago

2. NASA Lewis Research Center, Cleveland, OH

Abstract

A loaded gear drive with point contact between tooth surfaces is considered. The principal curvatures and directions at a current point of tangency, the contact paths on tooth surfaces, and the transmission errors caused by misalignment we consider as known. In this paper the following topics are covered: (1) Determination of the contact force and its distribution over the contact ellipse; (2) Determination of the tooth deflection, the load share, and the real contact ratio; and (3) Stress analysis by application of the finite element method. The discussed approach is illustrated with a numerical example.

Publisher

ASME International

Subject

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

Reference13 articles.

1. Boresi, P., and Sidebottom, O. M., 1985, Advanced Mechanics of Materials, 4th Ed., John Wiley & Sons, Inc., New York.

2. Budynas, Richard G., 1977, Advanced Strength and Applied Stress Analysis, McGraw-Hill Book Company, New York.

3. Chen, W., and Tsai, P., 1989, “Finite Element Analysis of an Involute Gear Drive Considering Friction Effects,” ASME Journal of Engineering for Industry, Feb., pp. 94–100.

4. Gosselin Claude , CloutierLouis, and NguyenQ. D., 1995, “A General Formulation for the Calculation of the Load Sharing and Transmission Error Under Load of Spiral Bevel and Hypoid Gears,” Mechanism and Machine Theory, Vol. 30, pp. 433–450.

5. Cook, Robert D., Malkus, David S., and Plesha, Michael E., 1989, Concept and Applications of Finite Element Analysis, John Wiley & Sons, Inc., New York.

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