Pitch cone design and influence of misalignments on tooth contact behaviors of crossed beveloid gears

A pitch cone design theory assuming line contact is formulated to analyze the tooth engagement behavior of crossed beveloid gears. The analysis applies the spatial gearing model and beveloid gear manufacturing technique to determine the cutter parameters and geometry. Using the proposed procedure, a crossed beveloid gear pair with small shaft angle is studied. Also, the proposed formulation is capable of quantifying the influence of misalignments including offset and angular position errors on the contour and position of contact path and lines over a complete mesh cycle. The results show that both offset and angular position errors of the mating members worsen the conjugate action of the mating tooth surfaces. Furthermore, both the contact path and the transmission error are more sensitive to the angular error than the offset error. The loaded tooth contact characteristics are subsequently modeled using the finite element method for comparison purpose. The proposed model is partially validated by comparing the numerical simulation results.

► A pitch cone theory assuming line contact is formulated for crossed beveloid gears.
► The theory is capable of quantifying influence of misalignments on mesh behaviors.
► Both offset and angular position errors worsen the conjugate action.
► Both contact path and transmission errors are more sensitive to angular error.
► The model is partially validated by comparing the numerical simulation results.