Cutter track generating method based on potential energy field and energy functional optimization

Abstract

The invention discloses a cutter track generating method based on a potential energy field and energy functional optimization. The cutter track generating method based on the potential energy field and the energy functional optimization comprises an energy functional, boundary conditions and line width constraint conditions. A method of finite elements is used to obtain a numerical approximation computational formula of a cutting track optimization calculating model, wherein the numerical approximation computational formula is based on a triangular discrete grid. An approximate value phi Phi on each node I where the potential energy field template Phi exists is obtained according to the cutter track calculating model. Contour lines of a volcanic vent are sectioned and images are cast on a machining zone omega Omega. Approximate tracks of equipotential contours are formed and smoothing and sampling are performed on the approximate tracks of the equipotential contours. Cutter track contour datum lines which are arranged from the exterior to the interior in an inclined mode are obtained. Linear interpolation is performed among the cutter track contour datum lines and a segment of a spiral cutter track is formed. All spiral cutter tracks are connected to form a spiral track. Curve fitting is performed on the spiral track to form a geometry second order continuous B spline cutter track. The cutter track generating method based on the potential energy field and the energy functional optimization achieves high-speed machining, optimizes cutting force distribution and improves quality of surface machining.

Description

technical field [0001] The invention belongs to the field of milling processing, and more specifically relates to a method for generating a tool trajectory path based on potential energy field and energy functional optimization. Background technique [0002] High-quality and efficient CNC machining requires that the tool paths generated by Computer Aided Manufacturing (CAM) have the characteristics of smoothness and uniform line spacing (that is, stable material removal rate). The curved tool path generated by the traditional parametric surface isoparametric or contour isometric offset method can effectively control the line spacing (including line cutting, ring cutting, etc.) to a certain extent, but its shape is severely restricted by the parameters of the processing area or Boundary shape, poor smoothness; the newly developed curve trajectory method such as helical line processing produces an equipotential contour line family similar to the electric potential field in the...

AI Technical Summary

Problems solved by technology

[0007] The processing areas such as blade machining and three-axis cavity machining may have arbitrary shapes or island distributions. The aforementioned existing methods cannot produce tool paths with global smooth and stable line spacing distribution. The reason is that the aforementioned algorithms all use bias The generation of contour lines is transformed into the solution of partial differential equations, and other constraints other than energy distribution, such as line spacing control, cannot be considered. Even though the patent "a method for generating tool paths for planar helical or circular milling" has effective line spacing control, but Toolpath shape not optimized with stepover control

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