抄録
The machine elements such as gears, traction drives, rolling bearings, wheel/rails, and other things are used for a long period under the severe conditions of rotational speed and loading. These elements play the role which is not to break down in security. In practice, phenomena called as pitting, spalling, flaking, and the other cause the serious problems. It is important to investigate a detailed contact stress state for the contacting surfaces precisely to guarantee and calculate contact stress. strength and its life cycle. Most of above-mentioned 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 theist and second kinds, computing methods are required. This report shows how to calculate the contact stress using approximation equation by arithmetic geometric mean. As a result, numerical solution has simply and precisely accomplished.