This paper presents the mathematical methods and algorithms to compute milling cutter placement and machined surface error analysis problems for 4- and 5-axis finished-surface mechining. Different types of endmill cutters, such as the torus- shaped (filleted) endmill, flat-endmill and sphere-endmill, are used for umulti-axis NC machining. A generalized tool description with tool orientation variables for Variant types of cutters is development for 5-axis machining. Methods of finding an Instantaneous cutting profile and the local surface geometry to analyse machined Surface errors are discussed for cutter location generation.
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