CAJ | 학술논문

为了揭示全齿宽啮合弧齿圆柱齿轮齿面间的真实接触情况，根据齿轮啮合原理，推导了基于全齿宽啮合的渐开线弧齿圆柱齿轮的精确齿面和过渡曲面方程，通过MATLAB软件编程计算出弧齿圆柱齿轮的凹齿面、凸齿面及过渡曲面的坐标点，将计算得到的点云导入三维实体建模软件，经过简单处理生成精确弧齿圆柱齿轮的三维实体模型。最后，通过数值解法计算了渐开线弧齿圆柱齿轮的真实啮合情况，并用可视化界面显示齿面接触曲线。结果表明该齿轮是关于齿轮中间截面对称的全齿宽啮合弧齿圆柱齿轮；轮齿在进入和退出啮合时是部分齿面接触。
위료게시전치관교합호치원주치륜치면간적진실접촉정황，근거치륜교합원리，추도료기우전치관교합적점개선호치원주치륜적정학치면화과도곡면방정，통과MATLAB연건편정계산출호치원주치륜적요치면、철치면급과도곡면적좌표점，장계산득도적점운도입삼유실체건모연건，경과간단처리생성정학호치원주치륜적삼유실체모형。최후，통과수치해법계산료점개선호치원주치륜적진실교합정황，병용가시화계면현시치면접촉곡선。결과표명해치륜시관우치륜중간절면대칭적전치관교합호치원주치륜；륜치재진입화퇴출교합시시부분치면접촉。
To reveal the real contact situation for cylindrical gears with curvilinear shape teeth based on mes-hing of whole teeth width. According to meshing theory, the accurate equations of tooth surfaces and fillet surfaces for cylindrical gears with curvilinear shape teeth based on meshing of whole teeth width were de-rived. The coordinate points of the concave side, convex side and respective fillet surfaces were calculated by application of Matlab commercial software. However, to generate the three-dimensional solid modeling of the gear, the acquired points cloud was imported by the three-dimensional solid modeling software. At last, the circumstances of meshing of the involute cylindrical gears with curvilinear shape teeth were verified by the numerical method, and the contact curves is displayed on the screen. The result shows that the novel gear is cylindrical gears with curvilinear shape teeth of meshing of whole teeth width, which is symmetry a-bout intermediate cross-section of the gear, and the local contact of tooth is emerged on the tooth surfaces when the tooth enter or quit meshing.