一种斜齿轮成形磨砂轮截形精确求解算法

基金项目:

江苏省工业装备数字化制造及控制技术重点实验室项目(BM2007201)

南京市2010年第二批科技发展计划项目(201002006)

浦口区科技发展计划项目(G2010-01)资助

A Kind of Exactitude Algorithm for Wheel Profile of the Helical-gear Form Grinding

1.
Department of Mechanical Engineering, Nanjing University of Technology, Nanjing 210009

摘要: 根据斜齿轮成形磨削中砂轮与齿轮的运动关系建立坐标系,建立包括齿根过渡螺旋曲面、渐开螺旋曲面及齿顶过渡螺旋曲面的渐开线斜齿轮全齿面成形磨削的数学模型。根据啮合原理推导成形砂轮与齿轮齿面的接触条件方程式,得出斜齿轮全齿成形磨砂轮的精确截形。编制斜齿轮成形磨削砂轮精确截形求解的算法程序,给出算法程序计算实例。
- 斜齿轮 /
- 成形磨削 /
- 砂轮截形 /
- 接触条件
Abstract: Based on the motion relation between the grinding wheel and gear in the process of helical-gear form grinding, the coordinate system was established. The mathematical model of the whole helical-gear form grinding surface which contains tooth fillet, involute helicoids and tip cone transition curve was established. Based on the theory of engagement, the exactitude theoretical profile of the grinding wheel had been obtained by deducing the contact condition equations between the grinding wheel and the tooth face to be ground. The wheel profile exactitude grinding program was developed and the numerical example of the algorithm was also presented.
- helical-gear /
- form grinding /
- wheel curved shapes /
- contact condition

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