THE PROCESSING OF HYPERBOLOID SURFACES USING WIRE ELECTRICAL DISCHARGE MACHINING – THEORETICAL ASPECTS

The paper presents an original method that can be used for cutting hyperboloid surfaces using wire electrical discharge machining (WEDM). The processing method, which has only been partly revealed by the author in certain relatively low-impact Romanian publications, is now fully delineated in the form of two papers that focus on both the theoretical and practical aspects of the processing of hyperboloid surfaces using wire electrical discharge machining. This paper presents the theoretical facets of the matter, revealing the mathematical aspects that underpin the methods of generating hyperboloid surfaces. The way in which a hyperboloid surface can be materialized for any mathematical equation of a hyperbola, which defines the axial profile of the hyperboloid of revolution that can be generated using wire electrical discharge machining is minutely explained, thus ensuring the availability of all information required by the practical implementation of the processing.