Papers by Keyword: Swept Envelope

Abstract: The form wheel generating curve is always a composited curve which is composed of lines and arcs, and the calculation of the envelope surface is more complex than conventional rotary cutter. Therefore, a method of envelope to a two-parametric family of point vectors is proposed, which defines the point and its normal vector on the wheel generating curve as a point vector. Each point vector corresponds to a virtual ball uniquely. The rotation of point vector forms latitude circle and the valid envelopment movement forms sectional circle. The intersection of latitude circle and sectional circle is grazing point; The analytical calculation model is established, in which the geometry parameters of virtual ball can be directly calculated from point vector; An example is presented to demonstrate the effectiveness of the method which can be used for form grinding geometry simulation, accuracy evaluation and optimization of the wheel path.

Abstract: Five-axis CNC machining tools can improve the efficiency and accuracy obviously in machining industries, but the machining errors and tool interference are likely to happen due to the complexity of tool motion. So the verification of the tool path is very important and necessary before machining the part. A new algorithm for 5-axis machining verification based on the stencil buffer has been presented in the paper. Based on the tool path and the cutter geometry, the cutter’s swept profile is determined. The swept envelope is subtracted from the sliced blank part model by using the stencil buffer. Considering the complexity of five-axis tool motions, examples are necessary to verify the reliability of the proposed algorithms. The experiment results indicate that the method is superior to the traditional methods on the processing time and the image quality. This proposed method can further be applied to machining error analysis, collisions interference.