Comprehensive representation of machining process in Spatio-Temporal space based on four-dimensional geometric models (2nd report)

<p>In general machining process representation methods, three-dimensional (3D) geometric models and its motion according to time series information are commonly used to represent dynamic machining. But the tool-workpiece engagement determination based on 3D geometric models is not flexible enough, for high accuracy it needs huge amount of discrete data to get the result which decreases the efficiency. In the study, we propose a system to represent tool-workpiece engagement situation of dynamic machining process by four-dimensional (4D) geometric model based on Spatio-Temporal space. For analyzing the tool-workpiece engagement in Spatio-Temporal space, “T-map approach” is used. The T-map is defined as segments along T-axis in Spatio-Temporal which extend from different grids of subdivided 3D workpiece model to the tool-occupied region (TOR). Lengths of T-map segments refer to when the material in corresponding grid is removed by the tool. The core of the T-map approach is to determine whether the T-map segment and the tetrahedron in TOR intersect and return the length of the T-map segment. Checking process of all segments and tetrahedrons requires a lot of computing resources. Therefore, parallel processing based on GPGPU is introduced for accelerating repeated computing process in T-map.</p>