A Study on the Adequate Radius of Circular Arc in the Involute-Circular Arc Composite Tooth Profile

인벌류우트-원호 합성치형의 적정 원호반경에 대한 연구

The composite gear which is composed of involute curve and circular arc has been studied. In the vicinity of pitch point, its profile is an involute curve, and in the dedenum, a circular arc. The curve in the dedendum is generated by the circular arc of the mating gear. Though the available range between minimum and maximum radius of circular arc can be given by existing tooth profile equation, there was no formulation which relates design parameters to the desired radius. It is attempted to get the formula for the radius of circular arc as a function of design parameters, such as unwounded angle, number of teeth, module, and pressure angle. The radius of circular arc, the chordal tooth thickness at working root circle, nominal bending stress, Hertz stress and contact ratio obtained from derived formula are compared with those of the existing design criteria. And these are compared with those of involute gear.

본 논문에서는 동력전달용 기어에 주로 쓰이는 물림률 1.3 이상일 때, 치면접 촉응력과 공칭굽힘응력이 작게되는 풀림각 1˚로 고정하여 잇수 30∼100개 압력각 14˚∼30˚의 범위에서 최소 원호반경식과 치형 조건을 만족하는 최대 원호반경식에 대하여 고찰하였다.