Tooth Load Sharing in High-Contact Ratio Spur Gears

Abstract

A closed-form solution is presented for calculating the load sharing among meshing teeth in high contact ratio gearing (HCRG). The procedure is based upon the assumption that the sum of the tooth deflection, profile modification and spacing error at each of two or three pairs of contacts are all equal. It is also assumed that the sum of the normal loads contributed by each of two or three pairs of contacts is equal to the maximum normal load. Once the individual loads are determined, the tooth fillet stress, contact stress may be determined from the applied load and tooth geometry. An experimental example appears to verify the method.

Wind Turbine Tribology

“…The load sharing percentages are functions of the contact ratio m c (a measure of the average number of teeth in contact as a given instant), as well as elastic and surface profile properties of the gear teeth [64]. The torque is shared between contacting teeth based upon their meshing positions, as it is dependent on the elastic stiffness of each tooth at the point of contact (Fig.…”

Load Sharing On Spur Gear Teeth And Stress Analysis When Contact Ratio Changed

“…T.Sayama, S.Oda and K.Umezawa [2] presented a study using F.E.M for the analysis of thin rimmed gear stresses; hence the study shows a good approach from the results gotten empirically using strain gauges. A.H.Elkholy [3] introduced a method to determine tooth load sharing especially for high contact ratio spur gearing. S.C.Mohanty [4] suggested an analytical method to calculate the individual tooth load during meshing cycle, also he referred to determination of the locations and sizes of contact zones along the path of contact for high contact ratio gearing (3>C.R>2).…”

“…When double pair of teeth are engaged, the transmitted load will be divided between two meshing teeth. Practically the load is not divided fairly; load sharing depends on contact ratio value and stiffness of meshing tooth at point of application of load [3]. In figure (3) the load sharing is drawn against the path of contact for low contact ratio sharing.…”

A systematic approach to profile relief design of low and high contact ratio spur gears

“…stronger and quieter gears [34,37,38]. Therefore, it is increasingly important to design these HCR gears so that When relief is applied to avoid CC in the full load range, they will not lose their increased load capacity which is and hence to change the shape of the tooth load diagram, a result of the increased number of tooth pairs in contact the amount of relief should be at least equal to the com- [23].…”