CN101502900A - Spacing track optimizing method of tool electrode for electrolytic machining of integral wheel - Google Patents

Abstract

The invention relates to a space trajectory optimization method of an integral impeller electrolytic processing tool electrode and pertains to the field of electrolytic processing technology. In the processing, a tool electrode is linearly fed along the axis of an integral impeller rough cast at a certain speed V1 and rotates around a straight line in parallel with the axis of the impeller rough cast at a certain speed V2; meanwhile, the self axis of the impeller rough cast rotates at a certain angle speed V3. In the processing, the tool electrode is connected with the cathode of a power supply and the impeller rough cast is connected with the anode of the power supply; the electrolyte flows in from one end of the tool electrode and flows out from the clearance of the electrode; the impeller rough cast is continuously eroded and finally a nearly molded inter-impeller channel is obtained. According to the specific situation, different combinations of V1, V2 and V3 can be selected; according to the speed arbitration guideline of the invention, the space trajectory of the tool electrode is optimized and the inter-impeller channel has small margin and fine uniformity. The method is also applicable to the simultaneous processing of a plurality of electrodes, thus greatly increasing the processing efficiency.

Description

The spacing track optimizing method of tool electrode for electrolytic machining of integral wheel

Technical field

The spacing track optimizing method of tool electrode for electrolytic machining of integral wheel of the present invention belongs to technical field of electrolysis processing.

Background technology

Integral wheel is one of strength member in rocket engine, aero-engine and the aviation airborne equipment, and the machining accuracy of integral wheel, crudy and working (machining) efficiency are to performance, quality and the cost important influence of product.Before the integral wheel blade profile was machined to designing requirement, the processing of passage was indispensable technology between the leaf of integral wheel.Advantage such as Electrolyzed Processing has that the range of work is wide, surface quality good, production efficiency is high, no macroscopical cutting force and tool cathode are lossless.In the processing of integral wheel, Electrolyzed Processing has embodied bigger advantage.

The people's such as B. Wei of on July 14th, 2004 bulletin Chinese patent proposes a kind of multi-axis machine that all has numerical control device on its each for No. 200310123549.1 and comes the blade geometric shape of the required motion of driven tool and workpiece with processed complex.People's such as B. Wei of on July 14th, 2004 bulletin Chinese patent proposes a kind of annular or inverted cup-shape tool-electrode for No. 200310114720.2, to approaching finally shaped shape, this tool-electrode is driven by CNC and around integral wheel rotation and location with the blade roughing of integral wheel.How these two patents all do not propose the space motion path of optimization tool electrode, and whether allowance is little and have good uniformity or the like.

The accurate generate electrochemical Machining Technology of integral wheel that in July, 2006, people such as Kang Min was published in the 37th the 7th phase of volume of agricultural mechanical journal proposes four-axle linked numerical control generating and processes integral wheel, and this method adopts electrode relatively and the impeller blank profile of processing blade do generating motion.This method only limits to process the integral wheel that the blade profile straight burr can be opened up.For the comparatively complicated integral wheel of blade profile, adopt this method processing rear blade profile blank allowance bigger and inhomogeneous, even can't process.

Existing integral wheel process technology can't satisfy the demand that products such as Aeronautics and Astronautics airborne equipment increase day by day to integral wheel, and it is imperative to study new process equipment and method.

Summary of the invention

The objective of the invention is to propose a kind of spacing track optimizing method of tool electrode for electrolytic machining of integral wheel at deficiencies such as the passage working (machining) efficiency are not high between present integral wheel leaf, processing cost is higher, allowance is big or uniformity is relatively poor.

A kind of spacing track optimizing method of tool electrode for electrolytic machining of integral wheel is characterized in that may further comprise the steps:

(1), prepares to add man-hour, the extended line of horizontal electrode axis and impeller blank axis L ₀Intersect vertically,, and place the top of impeller blank, horizontal electrode end and L promptly along impeller blank radial direction ₀Distance $d=\frac{D_0-2\mathrm{<figure-callout\; id="2"\; label="L"\; filenames="A200910025903E00151.png,A200910025903E00191.png"\; state="\{\{state\}\}">L</figure-callout>}}{2}+\mathrm{\&delta;},$ D wherein ₀Be the diameter of integral wheel, L is a length of blade, and δ is the interelectrode gap of electrode tip;

Definition impeller axis direction is the Z-direction of the coordinate system of integral wheel Electrolyzed Processing system, and electrode is determined Y direction preparing to add the X-direction of the axis direction in man-hour for this coordinate system according to Descartes's rectangular coordinate system.

(2), as required adopt one or more following motion modes compound, realize the integral wheel Electrolyzed Processing:

1., horizontal cathode straight-line feed: horizontal cathode is with speed V ₁Along impeller blank axis L ₀Do straight-line feed;

2., horizontal cathode swivel feeding: horizontal cathode is with angular speed V ₂Around one and impeller blank axis L ₀Parallel straight line L ₁Rotation, straight line L ₁By electrode tip, L wherein ₁With L ₀Distance be d, L ₁Rotating shaft for tool cathode;

3., impeller blank swivel feeding: the impeller blank is with angular speed V ₃Around self axis L ₀Rotation.

The spacing track optimizing method of above-mentioned tool electrode for electrolytic machining of integral wheel is characterized in that: concrete space tracking is:

Definition impeller blank axis direction is the blade height direction; Impeller blank radial direction is the length of blade direction;

The first step, tool cathode is along impeller axis L ₀Straight-line feed is simultaneously around straight line L ₁Rotation, impeller are around self axis L ₀Rotation is to process the blade back profile of first blade, V in this step ₁, V ₂, V ₃All be not 0;

In second step, tool cathode is around self axis L ₁Rotation, impeller are around self axis L ₀Rotation is to process the leaf basin profile of second blade, V in this step ₁=0, V ₂, V ₃Be not 0;

In the 3rd step, tool cathode is along impeller axis L ₀Straight-line feed is simultaneously around straight line L ₁Rotation, impeller are around self axis L ₀Rotation is to process the leaf basin profile of second blade, V in this step ₁, V ₂, V ₃All be not 0;

In the 4th step, tool cathode is around self axis L ₁Rotation, impeller are around self axis L ₀Rotation is to process the blade back profile of first blade, V in this step ₁=0, V ₂, V ₃Be not 0;

Repeated for one, two, three, four steps,, and take number of repetition to obtain best processing effect as required until process finishing.

The spacing track optimizing method of above-mentioned tool electrode for electrolytic machining of integral wheel is characterized in that: avoided cutting and guarantee to have certain horizontal surplus in process, this horizontal surplus is the surplus of blade profile along Y direction.

Get height * length direction in the blade back profile: A * B sampled point, Δ ab are represented the horizontal surplus of blade back each point, and wherein a is smaller or equal to A, and b is smaller or equal to B.

Get height * length direction in leaf basin profile: E * F sampled point, ε _EfThe horizontal surplus of expression leaf basin each point, wherein e is smaller or equal to E, and f is smaller or equal to F.

Arbitration criterion I: utilize and optimize algorithm and make that the horizontal surplus of each point is evenly distributed on the first blade blade back length direction, determine that first step medium velocity V1, V2, V3 concern;

Arbitration criterion II: utilize and optimize algorithm and make that the horizontal surplus of each point is evenly distributed on the second blade and blade basin length direction, determine that the second step medium velocity V1, V2, V3 concern;

Arbitration criterion III: utilize and optimize algorithm and make that the horizontal surplus of each point is evenly distributed on the second blade and blade basin length direction, determine that the 3rd step medium velocity V1, V2, V3 concern;

Arbitration criterion IV: utilize and optimize algorithm and make that the horizontal surplus of each point is evenly distributed on the first blade blade back length direction, determine that the 4th step medium velocity V1, V2, V3 concern;

Arbitration criterion V: utilize and optimize algorithm and make that the horizontal surplus of each point is evenly distributed on the first blade blade back short transverse, utilize to optimize algorithm simultaneously and make that the horizontal surplus of each point is evenly distributed on the second blade and blade basin short transverse, further determine in the complete process relation of concrete velocity magnitude between each step.

The spacing track optimizing method of above-mentioned tool electrode for electrolytic machining of integral wheel is characterized in that: above-mentioned optimization algorithm is the mean square deviation algorithm, promptly $\mathrm{\&sigma;}=\sqrt{\frac{\underset{i=1}{\overset{N}{\mathrm{\&Sigma;}}}\left[{(x_i-{\stackrel{\&OverBar;}{x}}_i)}^2\right]}{N-1}}\&le;C,$ In the method, N is the sampled point number, x _iBe the horizontal surplus of sampled point, the constant of C for setting.

The spacing track optimizing method of above-mentioned tool electrode for electrolytic machining of integral wheel is characterized in that:

In small scope, regard compound motion as feeding successively, order is: negative electrode straight-line feed, negative electrode swivel feeding, impeller blank swivel feeding, the account form of the horizontal surplus Δ of arbitrfary point blade back ab is as follows:

(1), gets a plane P that is parallel to impeller blank axis ₁, this plane is perpendicular to the X-axis of rectangular coordinate system, and negative electrode passes this plane, and the note negative electrode is in plane P ₁Last cross-section center is O ₁

(2), during the negative electrode straight-line feed: negative electrode along impeller blank axis direction straight-line feed apart from V ₁T, this moment, negative electrode was in plane P ₁On cross-section center be designated as S;

(3), during the negative electrode swivel feeding: note by a S and with the plane of impeller axis normal be P ₂, negative electrode is in plane P ₂Last rotation minute angle V ₂Behind the t, this moment, negative electrode was in plane P ₁On cross-section center be designated as O ₂, the radius of turn of some S is designated as r and known, L _SO2Length be rV ₂T;

(4), during impeller blank swivel feeding: in plane P ₂Go up and and O ₂Point on the blade back profile on same the straight line that is parallel to Y-axis is designated as Q ₂, note point Q ₂At impeller rotation minute angle V ₃After the t is Q ₁, this radius of turn is for being designated as R, and oneself knows L _Q1Q2Length be RV ₃T;

(5), in small scope, the some S, O ₂, Q ₁, Q ₂Can think and be located on the same line L _O1S, L _{O1Q 2}, L _SQ2Formation is with L _O1Q2Be the right angled triangle of hypotenuse, wherein L _O1Q2Known;

(6)、 $L_{Q1\mathrm{<figure-callout\; id="2"\; label="O"\; filenames="A200910025903E00151.png,A200910025903E00191.png"\; state="\{\{state\}\}">O</figure-callout>}2}=\sqrt{{L_{O1\mathrm{<figure-callout\; id="2"\; label="Q"\; filenames="A200910025903E00151.png,A200910025903E00191.png"\; state="\{\{state\}\}">Q</figure-callout>}2}}^2-{\left(L_{O1S}\right)}^2}-L_{Q1Q2}-{\mathrm{<figure-callout\; id="2"\; label="L\; SO"\; filenames="A200910025903E00151.png,A200910025903E00191.png"\; state="\{\{state\}\}">L</figure-callout>}}_{\mathrm{SO}}=\sqrt{{L_{O1\mathrm{<figure-callout\; id="2"\; label="Q"\; filenames="A200910025903E00151.png,A200910025903E00191.png"\; state="\{\{state\}\}">Q</figure-callout>}2}}^2-{\left(V_{1}t\right)}^2}-({\mathrm{RV}}_{3}t+{\mathrm{rV}}_{2}t);$

(7), Δ ab=L _Q1O2-ζ, wherein ζ is the interelectrode gap of sampled point;

The horizontal surplus ε of each sampled point of leaf basin _EfAccount form and aforesaid way similar.

Beneficial effect of the present invention is:

(1) tool-electrode is along impeller blank axis L ₀In the time of straight-line feed around straight line L ₁Rotation, impeller is around self axis L ₀Therefore rotation according to the speed-optimization criterion of this method, has been optimized the space motion path of tool cathode, makes tool cathode optimally press close to the profile of blade in process, and the surplus after the processing is less and have good uniformity.

(2) this method also is applicable to the situation that a plurality of electrodes are processed simultaneously, compares with single electrode processing, but uses passage between a plurality of leaves of a plurality of electrode processing time processing, has improved the working (machining) efficiency of integral wheel significantly, for a large amount of time has been saved in subsequent fine processing.

Description of drawings

Fig. 1 is the fundamental diagram of passage Electrolyzed Processing between the integral wheel leaf.

Fig. 2 is electrode and impeller blank feeding mode schematic diagram.

Fig. 3 prepares to add negative electrode and the location diagram of blank in man-hour, and wherein scheming A is front view, and figure B is a vertical view.

Fig. 4 be electrode with respect to the feeding route schematic diagram of impeller blank (impeller around the rotation of self axis with electrode around the impeller axis with it opposite spin replace), wherein scheming A is that three-dimensional position concern schematic diagram, scheming B is that negative electrode is at cutting plane P ₁Go up feeding route schematic diagram with respect to the impeller blank.

Fig. 5 is the surplus analysis chart of blade profile.

Fig. 6 is the analysis chart of negative electrode described motion process of the first step in summary of the invention 2.

Fig. 7 is that negative electrode and impeller are in plane P ₂On motion analysis figure.

Fig. 8 is that negative electrode is in plane P ₁On surplus analyze schematic diagram.

Label title among Fig. 1: 1, lathe translation stage, 2, tool cathode, 3, the inlet pipe joint, 4, cathode anchor, 5, the negative electrode rotary actuator, 6, impeller blank pressing plate, 7, the integral wheel blank, 8, impeller blank back shaft, 9, power supply.

Label title among Fig. 2: label and title are consistent among label 2 and Fig. 1, and 10, the leaf basin profile of integral wheel blade, 11, the blade back profile of integral wheel blade, L ₀, impeller blank axis, L ₁, the negative electrode rotation is (with L ₀Parallel), V ₁, negative electrode is along the speed of impeller blank axis direction straight-line feed, V ₂, negative electrode is around L ₁The speed of rotation, V ₃, the impeller blank is around the speed of self axis rotation.

Label title among Fig. 3: label and title are consistent among label 2,7 and Fig. 1, and label and title are consistent among label 10,11 and Fig. 2, L ₀, L ₁Consistent with title among Fig. 2, D ₀, the impeller blank diameter, the interelectrode gap of δ, cathode end.

Label title among Fig. 4: label and title are consistent among label 2 and Fig. 1, label 10,11 is consistent with label and title among Fig. 2, I, negative electrode is with respect to the initial processing position of impeller, II, negative electrode is with respect to the final position of impeller described motion of the first step in summary of the invention, III, negative electrode is with respect to the final position of impeller second described motion of step in summary of the invention, IV, negative electrode is with respect to the final position of impeller the 3rd described motion of step in summary of the invention, V, negative electrode is with respect to the final position of impeller the 4th described motion of step in summary of the invention, VI, negative electrode is with respect to the process finishing position of impeller, P ₁, the plane vertical with X-axis.

Label title among Fig. 5: label and title are consistent among label 10,11 and Fig. 2, ε ₁₁, ε ₂₁, ε ₃₁ε _E1For on the leaf basin short transverse 11,21,31 ... the horizontal surplus of E1 each point, ε ₁₁, ε ₁₂, ε ₁₃ε _1FFor on the leaf basin length direction 11,12,13 ... the horizontal surplus of 1F each point.Δ ₁₁, Δ ₂₁, Δ ₃₁Δ _A1For on the blade back short transverse 11,21,31 ... the horizontal surplus of A1 each point, Δ ₁₁, Δ ₁₂, Δ ₁₃Δ _1BFor on the blade back length direction 11,12,13 ... the horizontal surplus of 1B each point.ε _EfBe the horizontal surplus of leaf basin profile sampled point, Δ _AbHorizontal surplus for blade back profile sampled point.

Label title among Fig. 6: label and title are consistent among label 2 and Fig. 1, P ₁Consistent with title among Fig. 4, L ₀, L ₁Consistent with title among Fig. 2, O ₁, negative electrode is in plane P ₁On kernel of section, S, tool cathode straight-line feed are apart from V ₁Behind the t in plane P ₁On kernel of section, P ₂, by some S and with the plane of impeller axis normal, O ₂, negative electrode is in plane P ₂Last rotation minute angle V ₂Behind the t in plane P ₁On kernel of section, Q ₂, and O ₂On same straight line that is parallel to Y-axis and in plane P ₂On the blade back profile on point, Q ₁, impeller blank rotation minute angle V ₃Put Q behind the t ₂The position, 12, the blade back profile is in plane P ₂On section line, 13, impeller blank rotation minute angle V ₃The position of section line 12 behind the t

Label title among Fig. 7: label and title are consistent among label 2 and Fig. 1, and label and title are consistent among label 12 and Fig. 6, L _SO2, negative electrode is around L ₁Rotation minute angle V ₂The arc length of t (chord length of available correspondence replaces), L _Q1Q2, the impeller blank is around self axis rotation minute angle V ₃(chord length of available correspondence replaces the arc length of t, and can think and L _SO2Conllinear), O _R, the impeller blank pivot, R, the some Q ₂Radius of turn, O _r, negative electrode pivot, r, the some S radius of turn, the blade root circumference of O, impeller.

Label title: O among Fig. 8 ₁, S, O ₂, Q ₁, Q ₂Consistent with title among Fig. 6, the interelectrode gap of ζ, sampled point, Δ _Ab, sampled point horizontal surplus.

The specific embodiment

As shown in Figure 1, 2, add man-hour, integral wheel blank (anode) 7 connects the positive pole of power supply 9, and tool-electrode (negative electrode) 2 connects the negative pole of power supply 9.Tool cathode 2 is at the control lower edge of lathe translation stage 1 straight line L ₀With speed V ₁Straight-line feed, negative electrode rotary actuator 5 drives tool cathode 2 around straight line L ₁Rotation is so tool cathode 2 has been realized simultaneously along straight line L ₀With speed V ₁Straight-line feed and around straight line L ₁With angular speed V ₂Rotation.Impeller blank 7 is with certain angular speed V ₃Around self axis L ₀Rotation, tool cathode 2 and the 7 continuous feedings of impeller blank, and keep very little gap (about 0.5mm).The temperature controller control heater heats electrolyte, and keeps constant temperature, and electrolyte enters filter and filters, and enters the processing district via pipeline.Electrolyte with certain pressure flows into from inlet pipe joint 3, from the slit high speed outflow of tool cathode 2, constantly takes away electrolysate and brings fresh electrolyte, guarantees that the stable of Electrolyzed Processing carries out.Along with the continuous feeding of tool cathode 2 and impeller blank 7, the impeller blank material is constantly by ablation, processes passage between the leaf of integral wheel at last, and allowance is little and have good uniformity.Stop feed flow, withdraw from tool cathode 2,, repeat above-mentioned steps, until processing passage between whole leaves to impeller blank 7 rotation calibration (angle θ=360 °/blade quantity).

When adopting a plurality of electrodes to add man-hour simultaneously, method is similar to the above.

Below in conjunction with Fig. 1,2,3,4,5,6,7, the implementation process of process in detail:

1, with reference to figure 2,3, definition impeller axis direction is the Z-direction of the coordinate system of integral wheel Electrolyzed Processing system, and electrode is determined Y direction preparing to add the X-direction of the axis direction in man-hour for this coordinate system according to Descartes's rectangular coordinate system.

(1), prepares to add man-hour, the extended line of horizontal electrode axis and impeller blank axis L ₀Intersect vertically,, and place the top of impeller blank, horizontal electrode end and L promptly along impeller blank radial direction ₀Distance $d=\frac{D_0-2\mathrm{<figure-callout\; id="2"\; label="L"\; filenames="A200910025903E00151.png,A200910025903E00191.png"\; state="\{\{state\}\}">L</figure-callout>}}{2}+\mathrm{\&delta;},$ D wherein ₀Be the diameter of integral wheel, L is a length of blade, and δ is the interelectrode gap of electrode tip;

(2), as required adopt one or more following motion modes compound, realize the integral wheel Electrolyzed Processing:

1., horizontal cathode straight-line feed: horizontal cathode is with speed V ₁Along impeller blank axis L ₀Do straight-line feed;

2., horizontal cathode swivel feeding: horizontal cathode is with angular speed V ₂Around one and impeller blank axis L ₀Parallel straight line L ₁Rotation, straight line L ₁By electrode tip, L wherein ₁With L ₀Distance be d, L ₁Rotating shaft for tool cathode;

3., impeller blank swivel feeding: the impeller blank is with angular speed V ₃Around self axis L ₀Rotation.

2, with reference to figure 4, definition impeller blank axis direction is the blade height direction; Impeller blank radial direction is the length of blade direction;

The first step, tool cathode is along impeller axis L ₀Straight-line feed is simultaneously around straight line L ₁Rotation, impeller are around self axis L ₀Rotation is to process the blade back profile of first blade, V in this step ₁, V ₂, V ₃All be not 0;

In second step, tool cathode is around self axis L ₁Rotation, impeller are around self axis L ₀Rotation is to process the leaf basin profile of second blade, V in this step ₁=0, V ₂, V ₃Be not 0;

In the 3rd step, tool cathode is along impeller axis L ₀Straight-line feed is simultaneously around straight line L ₁Rotation, impeller are around self axis L ₀Rotation is to process the leaf basin profile of second blade, V in this step ₁, V ₂, V ₃All be not 0;

In the 4th step, tool cathode is around self axis L ₁Rotation, impeller are around self axis L ₀Rotation is to process the blade back profile of first blade, V in this step ₁=0, V ₂, V ₃Be not 0;

Repeated for one, two, three, four steps,, and take number of repetition to obtain best processing effect as required until process finishing.

3,, avoided in process cutting and guarantee to have certain horizontal surplus that this horizontal surplus was the surplus of blade profile along Y direction with reference to figure 5.

Get height * length direction in the blade back profile: A * B sampled point, Δ ab are represented the horizontal surplus of blade back each point, and wherein a is smaller or equal to A, and b is smaller or equal to B.

Get height * length direction in leaf basin profile: E * F sampled point, ε ef are represented the horizontal surplus of leaf basin each point, and wherein e is smaller or equal to E, and f is smaller or equal to F.

Arbitration criterion I: utilize and optimize algorithm and make that the horizontal surplus of each point is evenly distributed on the first blade blade back length direction, determine that first step medium velocity V1, V2, V3 concern;

Arbitration criterion II: utilize and optimize algorithm and make that the horizontal surplus of each point is evenly distributed on the second blade and blade basin length direction, determine that the second step medium velocity V1, V2, V3 concern;

Arbitration criterion III: utilize and optimize algorithm and make that the horizontal surplus of each point is evenly distributed on the second blade and blade basin length direction, determine that the 3rd step medium velocity V1, V2, V3 concern;

Arbitration criterion IV: utilize and optimize algorithm and make that the horizontal surplus of each point is evenly distributed on the first blade blade back length direction, determine that the 4th step medium velocity V1, V2, V3 concern;

Arbitration criterion V: utilize and optimize algorithm and make that the horizontal surplus of each point is evenly distributed on the first blade blade back short transverse, utilize to optimize algorithm simultaneously and make that the horizontal surplus of each point is evenly distributed on the second blade and blade basin short transverse, further determine in the complete process relation of concrete velocity magnitude between each step.

Above-mentioned optimization algorithm is the mean square deviation algorithm, promptly $\mathrm{\&sigma;}=\sqrt{\frac{\underset{i=1}{\overset{N}{\mathrm{\&Sigma;}}}\left[{(x_i-{\stackrel{\&OverBar;}{x}}_i)}^2\right]}{N-1}}\&le;C,$ In the method, N is the sampled point number, x ₁Be the horizontal surplus of sampled point, the constant of C for setting.

4, with reference to figure 6,7,8, in small scope, regard compound motion as feeding successively, order is: negative electrode straight-line feed, negative electrode swivel feeding, impeller blank swivel feeding, the account form of the horizontal surplus Δ of arbitrfary point blade back ab is as follows:

(1), gets a plane P that is parallel to impeller blank axis ₁, this plane is perpendicular to the X-axis of rectangular coordinate system, and negative electrode passes this plane, and the note negative electrode is in plane P ₁Last cross-section center is O ₁

(2), during the negative electrode straight-line feed: negative electrode along impeller blank axis direction straight-line feed apart from V ₁T, this moment, negative electrode was in plane P ₁On cross-section center be designated as S;

(3), during the negative electrode swivel feeding: note by a S and with the plane of impeller axis normal be P ₂, negative electrode is in plane P ₂Last rotation minute angle V ₂Behind the t, this moment, negative electrode was in plane P ₁On cross-section center be designated as O ₂, the radius of turn of some S is designated as r and known, L _SO2Length be rV ₂T;

(4), during impeller blank swivel feeding: in plane P ₂Go up and and O ₂Point on the blade back profile on same the straight line that is parallel to Y-axis is designated as Q ₂, note point Q ₂At impeller rotation minute angle V ₃After the t is Q ₁, this radius of turn is for being designated as R, and oneself knows L _Q1Q2Length be RV ₃T;

(5), in small scope, the some S, O ₂, Q ₁, Q ₂Can think and be located on the same line L _O1S, L _{O1Q 2}, L _SQ2Formation is with L _O1Q2Be the right angled triangle of hypotenuse, wherein L _O1Q2Known;

(6)、 $L_{Q1\mathrm{<figure-callout\; id="2"\; label="O"\; filenames="A200910025903E00151.png,A200910025903E00191.png"\; state="\{\{state\}\}">O</figure-callout>}2}=\sqrt{{L_{O1\mathrm{<figure-callout\; id="2"\; label="Q"\; filenames="A200910025903E00151.png,A200910025903E00191.png"\; state="\{\{state\}\}">Q</figure-callout>}2}}^2-{\left(L_{O1S}\right)}^2}-L_{Q1Q2}-{\mathrm{<figure-callout\; id="2"\; label="L\; SO"\; filenames="A200910025903E00151.png,A200910025903E00191.png"\; state="\{\{state\}\}">L</figure-callout>}}_{\mathrm{SO}}=\sqrt{{L_{O1\mathrm{<figure-callout\; id="2"\; label="Q"\; filenames="A200910025903E00151.png,A200910025903E00191.png"\; state="\{\{state\}\}">Q</figure-callout>}2}}^2-{\left(V_{1}t\right)}^2}-({\mathrm{RV}}_{3}t+{\mathrm{rV}}_{2}t);$

(7), Δ ab=L _Q1O2-ζ, wherein ζ is the interelectrode gap of sampled point

The horizontal surplus ε of each sampled point of leaf basin _EfAccount form and aforesaid way similar.

Claims (5)

1, a kind of spacing track optimizing method of tool electrode for electrolytic machining of integral wheel is characterized in that may further comprise the steps:

(1), prepares to add man-hour, the extended line of horizontal electrode axis and impeller blank axis L ₀Intersect vertically,, and place the top of impeller blank, horizontal electrode end and L promptly along impeller blank radial direction ₀Distance $d=\frac{D_0-2L}{2}+\mathrm{\&delta;},$ D wherein ₀Be the diameter of integral wheel, L is a length of blade, and δ is the interelectrode gap of electrode tip;

Definition impeller axis direction is the Z-direction of the coordinate system of integral wheel Electrolyzed Processing system, and electrode is determined Y direction preparing to add the X-direction of the axis direction in man-hour for this coordinate system according to Descartes's rectangular coordinate system;

(2), as required adopt one or more following motion modes compound, realize the integral wheel Electrolyzed Processing:

1., horizontal cathode straight-line feed: horizontal cathode is with speed V ₁Along impeller blank axis L ₀Do straight-line feed;

2., horizontal cathode swivel feeding: horizontal cathode is with angular speed V ₂Around one and impeller blank axis L ₀Parallel straight line L ₁Rotation, straight line L ₁By electrode tip, L wherein ₁With L ₀Distance be d, L ₁Rotating shaft for tool cathode;

3., impeller blank swivel feeding: the impeller blank is with angular speed V ₃Around self axis L ₀Rotation.

2, the spacing track optimizing method of tool electrode for electrolytic machining of integral wheel according to claim 1 is characterized in that: concrete space tracking is:

Definition impeller blank axis direction is the blade height direction; Impeller blank radial direction is the length of blade direction;

The first step, tool cathode is along impeller axis L ₀Straight-line feed is simultaneously around straight line L ₁Rotation, impeller are around self axis L ₀Rotation is to process the blade back profile of first blade, V in this step ₁, V ₂, V ₃All be not 0;

In second step, tool cathode is around self axis L ₁Rotation, impeller are around self axis L ₀Rotation is to process the leaf basin profile of second blade, V in this step ₁=0, V ₂, V ₃Be not 0;

In the 3rd step, tool cathode is along impeller axis L ₀Straight-line feed is simultaneously around straight line L ₁Rotation, impeller are around self axis L ₀Rotation is to process the leaf basin profile of second blade, V in this step ₁, V ₂, V ₃All be not 0;

In the 4th step, tool cathode is around self axis L ₁Rotation, impeller are around self axis L ₀Rotation is to process the blade back profile of first blade, V in this step ₁=0, V ₂, V ₃Be not 0;

Repeated for one, two, three, four steps,, and take number of repetition to obtain best processing effect as required until process finishing.

3, the spacing track optimizing method of tool electrode for electrolytic machining of integral wheel according to claim 2 is characterized in that: avoided cutting and guarantee to have certain horizontal surplus in process, this horizontal surplus is the surplus of blade profile along Y direction.

Get height * length direction in the blade back profile: A * B sampled point, Δ ab are represented the horizontal surplus of blade back each point, and wherein a is smaller or equal to A, and b is smaller or equal to B;

Get height * length direction in leaf basin profile: E * F sampled point, ε _EfThe horizontal surplus of expression leaf basin each point, wherein e is smaller or equal to E, and f is smaller or equal to F;

Arbitration criterion I: utilize and optimize algorithm and make that the horizontal surplus of each point is evenly distributed on the first blade blade back length direction, determine that first step medium velocity V1, V2, V3 concern;

Arbitration criterion II: utilize and optimize algorithm and make that the horizontal surplus of each point is evenly distributed on the second blade and blade basin length direction, determine that the second step medium velocity V1, V2, V3 concern;

Arbitration criterion III: utilize and optimize algorithm and make that the horizontal surplus of each point is evenly distributed on the second blade and blade basin length direction, determine that the 3rd step medium velocity V1, V2, V3 concern;

Arbitration criterion IV: utilize and optimize algorithm and make that the horizontal surplus of each point is evenly distributed on the first blade blade back length direction, determine that the 4th step medium velocity V1, V2, V3 concern;

Arbitration criterion V: utilize and optimize algorithm and make that the horizontal surplus of each point is evenly distributed on the first blade blade back short transverse, utilize to optimize algorithm simultaneously and make that the horizontal surplus of each point is evenly distributed on the second blade and blade basin short transverse, further determine in the complete process relation of concrete velocity magnitude between each step.

4, the spacing track optimizing method of tool electrode for electrolytic machining of integral wheel according to claim 3 is characterized in that: above-mentioned optimization algorithm is the mean square deviation algorithm, promptly $\mathrm{\&sigma;}=\sqrt{\frac{\underset{i=1}{\overset{N}{\mathrm{\&Sigma;}}}\left[{(x_i-{\stackrel{\&OverBar;}{x}}_i)}^2\right]}{N-1}}\&le;C,$ In the method, N is the sampled point number, x _iBe the horizontal surplus of sampled point, the constant of C for setting.

5, the spacing track optimizing method of tool electrode for electrolytic machining of integral wheel according to claim 3 is characterized in that:

In small scope, regard compound motion as feeding successively, order is: negative electrode straight-line feed, negative electrode swivel feeding, impeller blank swivel feeding, the account form of the horizontal surplus Δ of arbitrfary point blade back ab is as follows:

(1), gets a plane P that is parallel to impeller blank axis ₁, this plane is perpendicular to the X-axis of rectangular coordinate system, and negative electrode passes this plane, and the note negative electrode is in plane P ₁Last cross-section center is O ₁

(2), during the negative electrode straight-line feed: negative electrode along impeller blank axis direction straight-line feed apart from V ₁T, this moment, negative electrode was in plane P ₁On cross-section center be designated as S;

(3), during the negative electrode swivel feeding: note by a S and with the plane of impeller axis normal be P ₂, negative electrode is in plane P ₂Last rotation minute angle V ₂Behind the t, this moment, negative electrode was in plane P ₁On cross-section center be designated as O ₂, the radius of turn of some S is designated as r and known, L _SO2Length be rV ₂T;

(4), during impeller blank swivel feeding: in plane P ₂Go up and and O ₂Point on the blade back profile on same the straight line that is parallel to Y-axis is designated as Q ₂, note point Q ₂At impeller rotation minute angle V ₃After the t is Q ₁, this radius of turn is for being designated as R, and known, L _Q1Q2Length be RV ₃T;

(5), in small scope, the some S, O ₂, Q ₁, Q ₂Can think and be located on the same line L _O1S, L _{01Q 2}, L _SQ2Formation is with L _O1Q2Be the right angled triangle of hypotenuse, wherein L _O1Q2Known;

(6)、 $L_{Q1O2}=\sqrt{{L_{O1Q2}}^2-{\left(L_{O1S}\right)}^2}-L_{Q1Q2}-L_{\mathrm{SO}2}=\sqrt{{L_{O1Q2}}^2-{\left(V_{1}t\right)}^2}-(R{V}_{3}t+r{V}_{2}t);\sqrt{}$

(7), Δ ab=L _Q1O2-ζ, wherein ζ is the interelectrode gap of sampled point;

The horizontal surplus ε of each sampled point of leaf basin _EfAccount form and aforesaid way similar.

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