Abstract
Many of machine elements, such as gears, traction drives, rolling bearings, wheel/rails, and other things, are applied for a long time under the severe running conditions. These elements play the important role which is not to break down in security. Practically, phenomena called as pitting, spalling, flaking, and the other cause the serious problems. It is important to investigate a detailed stress state for the contacting surfaces precisely to guarantee and calculate contact stress strength and its life cycle. A large number of these elements are used practically in the conditions of three-dimensional contact stress state. To design the life of these elements has to calculate an auxiliary equation of the Hertzian theory. Because these auxiliary equations involve the complete integrals of the first and second kinds, numerical analysis are required. This paper presents how to calculate the contact stress using approximation equation by arithmetic geometric mean. As a result, numerical solution has simply and precisely accomplished. Added to these, contact stress state of crossed helical gearing were used to introduce something chosen as a typical case.
