Generating method of three-dimensional elliptical vibrating cutting optical freeform surface machining path

Abstract

The invention discloses a generating method of a three-dimensional elliptical vibrating cutting optical freeform surface machining path. The generating method is used on a triaxial diamond ultra-precision machine tool and an elliptical vibration generating device. A machine tool spindle can perform rotary motion, a working table can perform X-direction and Z-direction motions, and simultaneously a diamond cutter performs three-dimensional elliptical motion through the elliptical vibration generating device. The generating method of a cutter path track comprises building a workpiece Cartesian coordinate system, and obtaining an expression of the predesigned free optical curved surface S under the workpiece Cartesian coordinate system and a cylindrical coordinate system; determining coordinate values of xi, j(L) and yi, j(L) of a cutter location point PL (i, j); solving coordinate values of xi, j(L2) and yi and j(L2) of a new cutter location point PL2 (i, j) adding to elliptical y-directional displacement and x-directional displacement; solving the z coordinate value zi, j(L2) of a cutter location point PL2 (i, j) according to the coordinate values of xi, j(L2) and yi, j(L2) of the cutter location point PL2 (i, j); solving z coordinate value zi, j(L3) of a new cutter location point PL3 (i, j) added to elliptical z-directional displacement; and performing processing motion according to the steps, traversing processing points of the freeform surface, and finally generating the processing path.

Description

technical field [0001] The invention belongs to the technical field of ultra-precision cutting and cutting of difficult-to-machine materials, in particular to a method for generating a processing path of an optical free-form surface in three-dimensional elliptical vibration cutting. technical background [0002] In recent years, the functional surfaces of difficult-to-machine materials with complex geometric features, such as ceramics and glass, have increasing application requirements in important civil and defense fields such as engineering optics, biomedicine, and semiconductor products. For example, fly eye lens, micro lens, Fresnel lens, aspheric mirror, zoom lens, etc. However, most optical crystal materials and ceramic materials have the characteristics of brittleness, fracture strength close to yield strength and anisotropy, which make the processed surface obtained by conventional processing methods prone to defects such as cracks and pits. Therefore, how to achiev...

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Problems solved by technology

However, the academic research on 3D elliptical vibration diamond cutting is not in-depth at present, and there are no reports at home and abroad on the tool path planning method using 3D elliptical vibration to cut optical free-form surfaces, which limits people's ability to use 3D elliptical vibration to cut difficult-to-machine materials. Optical Freeform Surface

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