一种基于OpenGL的螺旋成型加工轴截面廓形计算方法

Accurate calculate the machined transverse profile of part for helical feature manufacturing is a significant question. Unlike the traditional methods such as analytical ones, discrete ones and Boolean ones solve problems in 3-D space, through mapping the transvers profile identification problem from 3-D space to image space based on the visibility theory, a OpenGL-assist implicit graphic rendering calculate method is developed. At first, the mathematical model for the forming machining of the helical feature is constructed. Then, the rendering based calculate theory is analyzed through the relationship between the 3-D space and image space. Next, the entire calculate method is detailed presented in the aspects of mapping between the 3-D space and image space, how the operation of the pixel rendering indicates the intersection in 3-D space, and the result extraction from image space to 3-D space. Meanwhile, the complete calculate frame and corresponding function groups are provided. At last, the profile calculation of for a helical groove milling by a taper cutter is taken to proof the effectiveness of proposed method via comparing with the analytical result.