Construction Method of Parametric Mathematical Model of Helical Surface on Rake Face of End Mill Cutter

Abstract

The invention provides a construction method of an end mill peripheral edge rake face spiral curved surface parameterization mathematical model, and belongs to the technical field of machining. The construction method comprises the following steps: a c utter sharpening overall hard alloy end mill peripheral edge rake face spiral surface coordinate system is built; a relative displacement function expression of a grinding wheel corresponding to an end mill is built; a profile parameter equation of the grinding wheel is built; a curved surface family equation of the grinding wheel formed corresponding to a motion of the end mill is built; and an overall hard alloy end mill peripheral edge rake face spiral surface parameterization mathematical model is built. The model solves the technical bottleneck of incapability of sharing the curved surface shape information in the curved surface digital design and manufacturing process of complicated cutter complicated spiral surface engineering, and solves such key technologies as shape correction of the grinding wheel in a complicated groove structured overall hard alloy end mill spiral surface grinding process.

Description

Technical field [0001] The invention belongs to the technical field of mechanical processing, and in particular relates to a method for constructing a parametric mathematical model of a spiral curved surface of the peripheral edge rake face of an end mill. Background technique [0002] Milling with solid carbide end mills is a widely used cutting method at present, and the spiral blade is a typical feature of the structure of solid carbide end mills. The shape of the spiral curved surface of the solid carbide end mill has a huge impact on the cutting performance of the tool, and it is also the key to the design and manufacture of high-precision and high-performance tools. The modeling method of the spiral surface of the peripheral rake face of the end mill, the general mathematical model of the surface and the expression of the mathematical model are the keys to the digital design and manufacturing technology of the surface. [0003] At present, most methods for building mathemati...

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Problems solved by technology

[0003] At present, most of the methods for establishing the mathematical model of the helicoid surface do not consider information such as the manufacturing method of the helicoid surface, the generating motion of the tool relative to the helicoid surface, the shape of the tool, and the relative position between the tool and the helicoid surface. The fatal defect that cannot be shared in the design and manufacturing integration technology, therefore, the traditional spiral surface modeling method and general mathematical model are not suitable for the digital design and manufacturing technology of complex tools such as modern end mills

[0004] The embodiment aims at the fatal defect that the traditional mathematical model of the helical surface in complex tool structures such as solid carbide end mills does not contain the manufacturing information of the curved surface, which leads to the unsmooth transmission of the shape information of the helical surface in the integrated technology of tool design and manufacturing. A method of modeling the helical surface of the peripheral edge of the solid carbide end mill based on the grinding manufacturing method, and based on the surface family envelope principle to establish a parametric mathematical model of the helical surface of the end mill's peripheral edge to solve Digital design of complex tools, complex helical surfaces, engineering surfaces, technical bottle diameters where information cannot be shared during the manufacturing process

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