In this study, two different dynamic models, a finite-element-based deformable-body model and a simplified discrete model, are developed to predict dynamic behavior of spur gear pairs. Dynamic transmission error (DTE) and dynamic factors (DF) defined based on the gear mesh loads, tooth loads and bending stresses are computed for a number of unmodified and modified spur gears within a wide range of rotational speed for different involute contact ratios and torque values. Although similar models were proposed in the past, they were neither fully validated nor equipped to predict both DTE and different forms of DF. Accordingly, this study focuses on (i) validation of both models through an extensive set of experimental data obtained from a set of tests using spur gear having unmodified and modified tooth profiles, and (ii) establishment of a direct link between DTE and different forms of DF, especially the ones based on tooth forces and the root stresses. The predicted DF and DTE values are related to each other through simplified formulas. Impact of nonlinear behavior, such as tooth separations and jump discontinuities on DF, is also quantified.
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January 2007
Research Papers
A Study of the Relationship Between the Dynamic Factors and the Dynamic Transmission Error of Spur Gear Pairs
V. K. Tamminana,
V. K. Tamminana
Department of Mechanical Engineering,
The Ohio State University
, 206 W. 18th Avenue, Columbus, OH 43210
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A. Kahraman,
A. Kahraman
Department of Mechanical Engineering,
e-mail: kahraman.1@osu.edu
The Ohio State University
, 206 W. 18th Avenue, Columbus, OH 43210
Search for other works by this author on:
S. Vijayakar
S. Vijayakar
Advanced Numerical Solutions
, 3956 Brown Park Drive, Suite B, Hilliard, OH 43026
Search for other works by this author on:
V. K. Tamminana
Department of Mechanical Engineering,
The Ohio State University
, 206 W. 18th Avenue, Columbus, OH 43210
A. Kahraman
Department of Mechanical Engineering,
The Ohio State University
, 206 W. 18th Avenue, Columbus, OH 43210e-mail: kahraman.1@osu.edu
S. Vijayakar
Advanced Numerical Solutions
, 3956 Brown Park Drive, Suite B, Hilliard, OH 43026J. Mech. Des. Jan 2007, 129(1): 75-84 (10 pages)
Published Online: February 12, 2006
Article history
Received:
June 10, 2005
Revised:
February 12, 2006
Citation
Tamminana, V. K., Kahraman, A., and Vijayakar, S. (February 12, 2006). "A Study of the Relationship Between the Dynamic Factors and the Dynamic Transmission Error of Spur Gear Pairs." ASME. J. Mech. Des. January 2007; 129(1): 75–84. https://doi.org/10.1115/1.2359470
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