歯車強度設計への境界積分方程式の応用

概要

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The boundary integral equation method (BIEM) investigated in this paper is particularly well suited to a typical problem of stress concentration in gears, since the analysis commonly performed by engineers is linear isotropic stress analysis. In this paper, the authors examine the cyclic properties of the boundary condition for plane stress problems by using the Cauchy integral formulae and the well-known method developed by Muskhelishvili. The final expression of the equation obtained in this work is the Fredholm integral equation of the second kind involving only boundary unknowns, and solved in a manner similar to that for the boundary element method. BIEM in which only the boundary need be discretized gives a precise, reliable and simple numerical solution of the plane problem of gear tooth strength rating.
一般社団法人日本機械学会の論文
1995-02-25