Finite-element analysis of large spur and helical gear systems

Abstract

The application of the three-dimensional finite-element substructure method has helped to improve the accuracy of calculation of gear tooth contact and fillet stresses in large spur and helical gear systems. The development of a dedicated preprocessor has reduced significantly the manual effort involved in the analysis. The methodology is explained using the example analyses of the gear systems in the two stages of a typical speed reduction gearbox used in the Pratt & Whitnev-Canada PVV100 turbopropeUer engines. n p(x) Nomenclature Al9A2,A3 = constants in the expression for the line load intensity B^B2,B3,B4 = constants in the expression for normal displacement L = length of line of contact on the tooth contact face = number of nodes along a contact line = line load intensity as a function of distance = reactive force at node / = distance along line of contact on the tooth contact face — normal displacement at node i = normal displacement distribution as a function of x