CAJ | 학술논문

综合优化以往研究方法的优势和特点，将球面渐开线理论应用于建模中，提出了弧齿锥齿轮球面渐开线齿面的形成原理。从齿面的精确形状出发，利用该理论求导了组成完整齿廓的各部分曲线以及齿线等重要曲线的参数化方程。同时，以扫略创建曲面、从点云创建曲面等CAD曲面设计功能为主体，分别提出了齿轮建模的新方案，即端面齿廓扫略建模、齿面离散点云建模，并就上述方案提出了各自相应优化方法。最后结合算例，表明了其建模及优化方案得到的齿面模型精度高，为弧齿锥齿轮的快速精确建模提供了理论基础和途径。
종합우화이왕연구방법적우세화특점，장구면점개선이론응용우건모중，제출료호치추치륜구면점개선치면적형성원리。종치면적정학형상출발，이용해이론구도료조성완정치곽적각부분곡선이급치선등중요곡선적삼수화방정。동시，이소략창건곡면、종점운창건곡면등CAD곡면설계공능위주체，분별제출료치륜건모적신방안，즉단면치곽소략건모、치면리산점운건모，병취상술방안제출료각자상응우화방법。최후결합산례，표명료기건모급우화방안득도적치면모형정도고，위호치추치륜적쾌속정학건모제공료이론기출화도경。
Principle of forming spherical involute tooth surface about the spiral bevel gear was proposed with the application of the spherical involute theory in the modeling, on the basis of comprehensive optimization of advantage and characteristics of previous research methods. From a complete tooth profile curve, the quick and accurate derivations of basic parametric equation of each part of the tooth profile curve were made by the principle. Besides, the important tooth line were done. At the same time, on the base of some CAD features about sculptured surface namely by sweeping to found surfaces, and creating a surface from the point cloud, some new approaches were correspondingly proposed, which were sweeping from tooth profile, and discrete point cloud on the tooth surface. And it accordingly made optimization methods for the program proposed. At last, through the given examples, these approaches have been proven that gear model have high accuracy, fast efficiency that can provide some theoretical foundation and means for fast and accurate modeling of spiral bevel gears.