CAJ | 학술논문

弧齿锥齿轮双重螺旋法具有高效、可实现干切削的特点,是Gleason制弧齿锥齿轮的先进加工方法.为揭示双重螺旋法的切齿原理,以大轮成形法加工的弧齿锥齿轮双重螺旋法为研究对象,以啮合原理和微分几何学为基础,根据刀盘、机床、工件之间的运动位置关系,利用矢量法、基于齿面3个参考点建立切齿数学模型,推导机床调整参数的计算过程;然后,以齿槽中点作为参考点,修正弧齿锥齿轮副的齿坯几何参数;另外,以小轮产形面方程代替其共轭齿面方程,提出新的齿面失配设计新方法,与传统方法相比简化计算过程.以一对7×43的准双曲面齿轮副为例进行设计计算和切齿加工,齿面接触分析与滚动检查结果验证所提出的双重螺旋法切齿原理的正确性,并根据该切齿原理开发弧齿锥齿轮双重螺旋法的设计软件,为该方法在国内的推广提供理论基础与技术支撑.
호치추치륜쌍중라선법구유고효、가실현간절삭적특점,시Gleason제호치추치륜적선진가공방법.위게시쌍중라선법적절치원리,이대륜성형법가공적호치추치륜쌍중라선법위연구대상,이교합원리화미분궤하학위기출,근거도반、궤상、공건지간적운동위치관계,이용시량법、기우치면3개삼고점건립절치수학모형,추도궤상조정삼수적계산과정;연후,이치조중점작위삼고점,수정호치추치륜부적치배궤하삼수;령외,이소륜산형면방정대체기공액치면방정,제출신적치면실배설계신방법,여전통방법상비간화계산과정.이일대7×43적준쌍곡면치륜부위례진행설계계산화절치가공,치면접촉분석여곤동검사결과험증소제출적쌍중라선법절치원리적정학성,병근거해절치원리개발호치추치륜쌍중라선법적설계연건,위해방법재국내적추엄제공이론기출여기술지탱.
The duplex helical method is an advanced manufacturing method of face milling spiral bevel and hypoid gears for its characteristics of higher machining efficiency and power dry cutting. In order to reveal the generalized theory of the duplex helical method, the cutting mathematical model on three reference points is established and the basic machine settings of the formate spiral bevel and hypoid gears generated by the duplex helical method are determined with the vector method according to principle of gearing and differential geometry and the relative position and motion among head-cutter, machine and workpiece. Then, the hypoid gear dimensions are modified based on the root angle of the pinion obtained by the midpoint of the point width for the pinion as the reference point. In addition, and a novel method for calculating ease-off is presented utilizing the pinion generating surface instead of its conjugate surface, which can gain the same simulation results and greatly simplify the process of calculation compared to the traditional methods. Finally, a hypoid gear drive 7×43, designed and manufactured using the duplex helical method, is performed and validated, the results of the tooth contact analysis and rolling tests show that the proposed theory of the duplex helical method is correct, and new spiral bevel and hypoid gear software has been developed using the new approach, which provides the theoretical basis and technical support for the promotion of the duplex helical method at home.