Load Distribution on the Contact Line of Helical Gear Teeth : Part 1 Fundamental Concept

抄録

The load distribution along the contact line of helical gear teeth is studied. The deflection of gear teeth is characterized by the second kind integral equation of Fredholm, and the measurement of strain at the root of a gear tooth leads to the first kind of the same type equation. The load distribution can be obtained as the solution of any of the above equations. Since each of them can hardly be solved analytically, the numerical solution by a system of linear equations is introduced. The choice of numerical integration formula, the number of ordinates, the accuracy of the solution and the basic characters of the load distribution are investigated thoroughly in this paper, employing thin cantilever plates with large width. It is concluded that Gauss' formula of numerical integration is most suitable and is used conveniently for this problem.