Summary of the invention
The object of this invention is to provide a kind of irregular part milling method based on rotating vector, solved 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 stack trajectory parameters, then according to the work of rotating vector stack trajectory parameters controlled working mechanism.
The invention has the beneficial effects as follows, compare with common digital control processing: the Milling Process mechanism 1) arranging based on rotating vector, for the processing of some irregular parts, improved working (machining) efficiency, reduced processing cost, machining accuracy is high, is applicable to the processing of small lot irregular part.2) preparation method of the milling machine tool based on rotating vector, utilize the 2D signal Fourier of signal to change, plane closed curve can be decomposed into the stack of a plurality of rotating vectors, utilize this principle, the boundary curve of irregular part can be decomposed into the stack of a plurality of rotating vectors, by controlling rotating speed and size and the initial phase of each rotating vector, the speed that control rotatablely moves is eaily, can for different part outer contours, carry out the shift design of organisation of working, there is certain versatility.
The specific embodiment
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 adopting, adopt complex vector to represent the some position in two dimensional surface, setting f (t) is a closed curve going round and beginning again planar, and plane inner sealing curve f (t) can be write as one take the complex function that t is 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;
f (t) is launched into Fourier space form by following formula:
$f\left(t\right)={\mathrm{\Σ}}_{n=-\∞}^{\∞}{C}_{n}{e}^{\mathrm{in}{\mathrm{\ω}}_{0}t}(n=0,\±1,\±2,......),$ ω wherein
_{0}fundamental frequency, i.e. the angular speed of main shaft, C
_{n}be a plural number, write as
The basic principle of analyzing according to signal spectra, the closed curve in plane always can be decomposed into the stack that a plurality of circular motion are rotating vector, and the angular speed of these circular motion is n ω
_{0}, during n > 0 and main shaft rotation in the same way, reverse during n < 0;
represent amplitude and the initial phase of rotating vector, radius is r
_{n}be the amplitude of rotating vector, initial phase angle is
Utilize this above-mentioned principle, for some special-shaped disk-like accessories, by extracting part outer contour, carry out closed curve analysis of spectrum, then utilize the thinking design processing method of rotating vector stack.The rotating vector that following table 1 has provided the peripheral outline lines of three class discoid parts decomposes.
The rotating vector of table 1, the peripheral outline line of three class discoid parts 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 that is fixedly mounted on respectively bed piece 5 upper and lower table tops) and workpiece electric rotating machine 2(rotating vector 1), on the main shaft of workpiece electric rotating machine 2, install and need the part section bar 1 of Milling Process, knife rest electric rotating machine 4 is connected with milling cutter electricity main shaft 3 by swinging mounting, the axle head of milling cutter electricity main shaft 3 is provided with milling cutter, for part section bar 1 is carried out to Milling Process; Workpiece electric rotating machine 2 is connected with electric control system with knife rest electric rotating machine 4, accepts the unified control of coordinating.
Workpiece electric rotating machine 2 is one dimension rotating vector for driving part section bar 1 rotation to realize equipment rotating vector 1() rotation; Knife rest electric rotating machine 4 is for driving the rotation of milling cutter, and realizing equipment rotating vector 2(is Two Dimensional Rotating vector) rotation.Distance R 1 between the center line of the center line of workpiece electric rotating machine 2 and knife rest electric rotating machine 4 is the amplitude of one dimension rotating vector; Distance R 2 between the center line of knife rest electric rotating machine 4 and the center line of milling cutter is amplitudes 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 stack trajectory parameters, according to the work of rotating vector stack trajectory parameters controlled working mechanism, specifically according to following steps, implement again:
Step 1: the outline curve that extracts the plate-like class part that needs processing:
Step 2: the outline closed curve to this plate-like class part is rotated vector spectrum analysis, is decomposed into Two Dimensional Rotating vector, and calculate the parameter of each rotating vector;
Step 3: the rotating vector parameter obtaining according to spectrum analysis, the structural parameters of setting Milling Process mechanism, comprise structural parameters R
_{1}and R
_{2}, control the rotating speed w of parameter workpiece electric rotating machine 2 and knife rest electric rotating machine 4
_{1}and w
_{2}, and the initial phase φ of two motors
_{1}and φ
_{2};
Step 4: the outline of working plate-like class part, by controlling the phase place of two rotating vectors of time difference control of two electric motor startings
two electric machine rotations are realized the stack action of Two Dimensional Rotating vector, and the track of milling cutter is the outline of processing parts, by milling cutter, adopts electric main shaft to realize Milling Process part outer contour.
Embodiment
With reference to Fig. 3, the present invention processes a kind of special-shaped plate-like class part embodiment, and the spectrum analysis of this part outer contour f (t) is:
$f\left(t\right)={6e}^{i\·(2\mathrm{\πt}+\frac{1}{4}\mathrm{\π})}+{e}^{i\·(12\mathrm{\πt}+\frac{2}{3}\mathrm{\π})},$ The blockade line of this part outline is decomposed into two rotating vectors, and each vector parameters is respectively with reference to shown in following table 1:
Table 1, Fig. 3 embodiment decompose each vector parameters of latter two rotating vector
Utilize above-mentioned discoid part spectrum analysis setting parameter as the Milling Process mechanism structure parameter of Fig. 2, on the crossbeam of lathe bed 5 mounting tool post electric rotating machines 4, have bar shaped installing hole, installation site that can follow rest electric rotating machine 4, thus realize first rotation amplitude R
_{1}; The position of milling cutter electricity main shaft 3 on swinging mounting can axially be adjusted, to realize the second rotation amplitude R
_{2}.Workpiece electric rotating machine 2 is adjusted by electric control system with the rotating speed of knife rest electric rotating machine 4; Initial phase is by controlling poor adjustment running time of two motors.