A Feature-Based Approach for Cutter/Workpiece Engagement Calculation in 2-1/2D End Milling

Abstract

Machining process modeling requires cutter/workpiece engagement geometry in order to predict cutting forces. The calculation of these engagements is challenging due to the complicated and changing intersection geometry that occurs between the cutter and the in-process workpiece. Solid modelers can be used to perform these calculations by executing intersection operations between cutter and workpiece surfaces at successive cutter locations. These operations utilize parametric surface/surface intersection (SSI) algorithms. For the large number of engagements that can occur in machining a complicated workpiece this can be a time-consuming and sometimes unreliable process. In this paper, in-process machining features are introduced into machining process modeling for 2 1/2 D end milling, and a feature based approach is presented for addressing the computational complexity and robustness issues in the cutter/workpiece engagement calculations. Geometric Invariant (giF) and Form Invariant Machining Features (fiF) are modeled to help represent engagement conditions analytically. Volume decomposition and composition algorithms are described that extract these two types of machining features from the removal volumes generated at each tool pass. Cutter/workpiece engagements can be analytically extracted from giFs and fiFs without applying repetitive SSI operations. This paper presents one part of ongoing collaborative research into developing Virtual Machining Systems. The engagement conditions that are found are inputs to machining process models that identify cutting forces, predict stability and that optimize the process.