Summary of the invention
The object of this invention is to provide a kind of irregular part milling method based on rotating vector, solve existing processing method equipment cost high, the problem that working (machining) efficiency is low.
The technical solution adopted in the present invention is, a kind of irregular part milling method based on rotating vector, by the spectrum analysis to processing parts outline closed curve, obtain rotating vector superposition trajectory parameters, then superpose the work of trajectory parameters controlled working mechanism according to rotating vector.
The invention has the beneficial effects as follows, compared with common digital control processing: 1) based on the Milling Process mechanism that rotating vector is arranged, for the processing of some irregular parts, improve working (machining) efficiency, reduce processing cost, machining accuracy is high, is applicable to the processing of small lot irregular part.2) based on the preparation method of the milling machine tool of rotating vector, the 2D signal Fourier of signal is utilized to change, plane closed curve can be decomposed into the superposition of multiple rotating vector, utilize this principle, the boundary curve of irregular part can be decomposed into the superposition of multiple rotating vector, by controlling the rotating speed of each rotating vector and size and initial phase, the speed controlling rotary motion is eaily, the shift design of organisation of working can be carried out for different part outer contours, there is certain versatility.
Detailed description of the invention
Below in conjunction with the drawings and specific embodiments, the present invention is described in detail.
With reference to Fig. 1, it is the irregular part milling method that the present invention is based on rotating vector, the closed curve rotating vector decomposition principle adopted, employing complex vector represents the position a little in two dimensional surface, setting f (t) is a closed curve gone round and begun again planar, and plane inner sealing curve f (t) can be write as the complex function that take t as independent variable:
F (t)=x (t)+iy (t), wherein, X (t) is the projection of f (t) on real axis; T (t) is the projection of f (t) in the imaginary axis;
then f (t) is launched into Fourier space form by following formula:
ω wherein
0fundamental frequency, i.e. the angular speed of main shaft, C
nbe a plural number, write as
According to the general principle that signal spectrum is analyzed, the closed curve in plane always can be decomposed into the superposition of multiple circular motion and rotating vector, and the angular speed of these circular motion is n ω
0, during n > 0 and main shaft rotate in the same way, then reverse during n < 0;
represent amplitude and the initial phase of rotating vector, radius is r
nthe i.e. amplitude of rotating vector, initial phase angle is
Utilizing this above-mentioned principle, for some special-shaped disk-like accessories, by extracting part outer contour, carrying out closed curve analysis of spectrum, the thinking design processing method then utilizing rotating vector to superpose.The rotating vector that following table 1 gives three class discoid part circumference lines decomposes.
The rotating vector of table 1, three class discoid part circumference lines decomposes contrast
With reference to Fig. 2, the Two Dimensional Rotating vector Milling Process mechanism structure that the inventive method relies on is, comprise the knife rest electric rotating machine 4(rotating vector 2 being fixedly mounted on the upper and lower table top of bed piece 5 respectively) and workpiece electric rotating machine 2(rotating vector 1), the main shaft of workpiece electric rotating machine 2 is provided with the part section bar 1 treating Milling Process, knife rest electric rotating machine 4 is connected with milling cutter electro spindle 3 by swinging mounting, the axle head of milling cutter electro spindle 3 is provided with milling cutter, for carrying out Milling Process to part section bar 1; Workpiece electric rotating machine 2 is connected with electric control system with knife rest electric rotating machine 4, accepts the unified control coordinated.
Workpiece electric rotating machine 2 for drive part section bar 1 rotate realize equipment rotating vector 1(and one dimension rotating vector) rotation; Knife rest electric rotating machine 4, for driving the rotation of milling cutter, realizes equipment rotating vector 2(and Two Dimensional Rotating vector) rotation.Distance R1 between the center line of workpiece electric rotating machine 2 and the center line of knife rest electric rotating machine 4 is the amplitude of one dimension rotating vector; Distance R2 between the center line of knife rest electric rotating machine 4 and the center line of milling cutter is the amplitude of Two Dimensional Rotating vector.
Irregular part milling method based on rotating vector of the present invention, utilize signal analysis technology, by the spectrum analysis to processing parts outline closed curve, obtain rotating vector superposition trajectory parameters, again according to the work of rotating vector superposition trajectory parameters controlled working mechanism, specifically implement according to following steps:
Step 1: the outline curve extracting the plate-like class part needing processing:
Step 2: rotating vector spectrum analysis is carried out to the outline closed curve of this plate-like class part, is decomposed into Two Dimensional Rotating vector, and calculate the parameter of each rotating vector;
Step 3: the rotating vector parameter obtained according to spectrum analysis, the structural parameters of setting Milling Process mechanism, comprise structural parameters R
1and R
2, controling parameters workpiece electric rotating machine 2 and knife rest electric rotating machine 4 rotating speed w
1and w
2, and the initial phase φ of two motors
1and φ
2;
Step 4: the outline of working plate-like class part, controls the phase place of two rotating vectors by the time difference controlling two electric motor startings
two electric machine rotations realize the superposition action of Two Dimensional Rotating vector, and the track of milling cutter is the outline of processing parts, adopt electro spindle to realize Milling Process part outer contour by milling cutter.