互に接触しつつ運動する曲面の研究 : 第1報一般論

概要

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This is a general theory on two surfaces moving relatively and always in contact with each other as in the case of gear contact in space such as skew gears, worm gears, etc, or that of gear cutting, thread milling, etc. I take two rectangular co-ordinate axes fixed to surfaces A and B respectively, and describe transformation formulas between them at any time. Then a group of A-surfaces having time t as a parameter may be obtained in a space of B-surface. Therefore, B-surface must be an enveloping surface of these A-surface group. In this consideration, I have obtained a most simple formula for requiring B-surface when A-surface is given. Furthermore, I have obtained formulas for requiring contact lines, locus of contact lines, specific slide, slipping lines on those surfaces and general conditions of interference.
一般社団法人日本機械学会の論文
1951-12-15