A Rayleigh-Ritz Approach to Determine Compliance and Root Stresses in Spiral Bevel Gears Using Shell Theory


Proposes a mathematical model for predicting deflections and root stresses in spiral bevel gears. Shows a shell model is more representative of the spiral bevel tooth geometry as compared to a beam or plate model. Integrates the compliance computations based on the shell model into existing computer codes for bevel gear design to determine the load distribution, transmission error, and root stresses on a personal computer. Concludes that computationally, this procedure is much more efficient than the finite element method.
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