The performance of a gear set is strongly influenced by the manufacturing and assembly quality. Therefore, detailed analyses at the design stage, where the effects of expected assembly and manufacturing errors can be simulated, are crucial. At an early design stage, when contact conditions are addressed, the widely used finite element method (FEM) may still result in unwanted computing time. The paper presents an Express model developed to serve as a fast design tool offering fine simulation and a high precision level. The model establishes load sharing, fillet stresses and pressure distribution along the contacting surfaces of meshing helical gear teeth. The calculations combine the finite strip method with a pseudo-three-dimensional (3D) model of the tooth base solved with finite differences to calculate tooth bending deflexion and fillet stresses. The accuracy of the procedure is demonstrated through 3D FEM models. A contact cell discretization completes the model. This very fast and accurate approach gives the contact pressure distributions resulting from the roll-slide motion of mating teeth. An analysis of a helical gear set in two different assembly positions reveals the effects of edge contact, and exhibits the influence of tooth stiffness reduction near tooth corners.
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November 2005
Research Papers
Express Model for Load Sharing and Stress Analysis in Helical Gears
Raynald Guilbault,
Raynald Guilbault
Professor
Department of Mechanical Engineering,
École de Technologie Supérieure
, Montréal, Canada H3C 1K3
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Claude Gosselin,
Claude Gosselin
Professor
Department of Mechanical Engineering,
Laval University
, Québec, Canada G1K 7P4
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Louis Cloutier
Louis Cloutier
Professor
Department of Mechanical Engineering,
Laval University
, Québec, Canada G1K 7P4
Search for other works by this author on:
Raynald Guilbault
Professor
Department of Mechanical Engineering,
École de Technologie Supérieure
, Montréal, Canada H3C 1K3
Claude Gosselin
Professor
Department of Mechanical Engineering,
Laval University
, Québec, Canada G1K 7P4
Louis Cloutier
Professor
Department of Mechanical Engineering,
Laval University
, Québec, Canada G1K 7P4J. Mech. Des. Nov 2005, 127(6): 1161-1172 (12 pages)
Published Online: November 29, 2004
Article history
Received:
August 21, 2003
Revised:
November 29, 2004
Citation
Guilbault, R., Gosselin, C., and Cloutier, L. (November 29, 2004). "Express Model for Load Sharing and Stress Analysis in Helical Gears." ASME. J. Mech. Des. November 2005; 127(6): 1161–1172. https://doi.org/10.1115/1.1992509
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