はすば歯車における歯の接触線上の荷重分布 : 第1報, 基礎的考察

概要

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The load distribution on the contact line of helical gear teeth is treated. The deflection characteristics of gear teeth result in 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, 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 characteristics of the load distribution on the contact line of helical gear teeth are investigated thoroughly in the present paper, using thin canti-lever plates with large width. It is concluded that Gauss's formula of numerical integration is most suitable and can be used conveniently for this problem.
一般社団法人日本機械学会の論文
1962-09-25