Boundary Integral Equation Method Applied to the Strength Design of Gear. 3rd Report. Corner Problems and Efficient Evaluation of Integrals.

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  • 歯車強度設計への境界積分方程式法の応用　第３報　角点処理と解析精度の向上について
  • ハグルマ キョウド セッケイ エ ノ キョウカイ セキブン ホウテイシキホウ

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Abstract

In this paper, in order to develop a more efficient and more convenient Procedure for the strength design of a spur gear, substantial effort is devoted to improving the accuracy in the boundary integral equation analyses. First, corner problems associated with a gear tip are mathematically avoided by adopting Priwalow's formulae. Next, a systematic technique using higher-order shape functions is proposed for the numerical evaluation of singular integrals. Then, a Stieltjes integral is used to deal with a discontinuous change of the boundary direction a corners. The accuracy is investigated using some numerical examples and comparison is made with the results in previous reports.

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