CN1831685A - Method for processing shoe tree - Google Patents

Method for processing shoe tree Download PDF

Info

Publication number
CN1831685A
CN1831685A CN 200510051314 CN200510051314A CN1831685A CN 1831685 A CN1831685 A CN 1831685A CN 200510051314 CN200510051314 CN 200510051314 CN 200510051314 A CN200510051314 A CN 200510051314A CN 1831685 A CN1831685 A CN 1831685A
Authority
CN
China
Prior art keywords
msub
coordinate system
cutter head
last
mrow
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
CN 200510051314
Other languages
Chinese (zh)
Other versions
CN100424601C (en
Inventor
汤青
甘中学
韦巍
甘家付
刘晓鸣
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Intersmart Robotic Systems Co ltd
Original Assignee
XINAO BOWEI TECHNOLOGY Co Ltd
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by XINAO BOWEI TECHNOLOGY Co Ltd filed Critical XINAO BOWEI TECHNOLOGY Co Ltd
Priority to CNB2005100513145A priority Critical patent/CN100424601C/en
Publication of CN1831685A publication Critical patent/CN1831685A/en
Application granted granted Critical
Publication of CN100424601C publication Critical patent/CN100424601C/en
Expired - Fee Related legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Images

Landscapes

  • Milling Processes (AREA)
  • Numerical Control (AREA)

Abstract

A method for preparing shoe tree includes scanning mother shoe tree for obtaining its surface data, carrying out calculation according to obtained data to convert calculated result to be control parameters for operating motion path of milling cutter on shoe tree machine, manufacturing semi finished product of shoe tree according to said control parameters for obtaining shoe tree as the same as the mother shoe tree.

Description

Method for processing shoe tree
Technical Field
The invention relates to a method for processing a shoe tree, in particular to a method for processing a shoe tree based on data conversion between a digital model of a female shoe tree and a processing cutter.
Background
The last is a mold used in manufacturing shoes to provide a basic shape. The free-form surface closed body is a complex free-form surface closed body consisting of irregular curves and curved surfaces, and the shape of the free-form surface closed body cannot be formed by primary curved surfaces. The shoe tree contour obtained by three-dimensional scanning is composed of a series of discrete points, which meet certain precision requirements. The traditional shoe tree processing method is that a mechanical contact type scanning device scans a female shoe tree, the female shoe tree is a designed shoe tree sample, feed data of a numerical control shoe tree carving machine is obtained through scanning, and then the data is directly input into the numerical control shoe tree carving machine to process the shoe tree. The usual method of manufacturing the last is: after the shape surface data of the female shoe tree is scanned through three-dimensional scanning equipment, the shape surface data is converted into feed data of a numerical control shoe tree carving machine through software processing, and the feed data is input into the numerical control shoe tree carving machine to process the shoe tree. The numerical control last carving machine controls the position of the center of a milling cutter head, the position of the surface profile of the last is obtained by three-dimensional scanning, and the relationship between the two data is not a simple addition and subtraction relationship. Generally, the envelope surface of the milling cutter has only one contact point with the surface of the shoe last in the actual processing, namely, two surfaces are tangent. As is readily understood from geometric knowledge, in order to determine the location of the cutting point (i.e., the center of the cutter head) at a certain point on the surface of the machined shoe tree, the diameter of the milling cutter notch can be added in the normal direction of the point, so as to obtain the center O of the milling cutter bowl opening1The position of (a). Due to the center O of the milling cutter head0Point and O1The relative positions of the dots are not changed, so that it is easy to get from the point O1The position of the milling cutter head is calculated to obtain the center O of the milling cutter head0The position of the point. Because the shoesThe last surface is an irregular curved surface, the normal of which varies almost everywhere, so that the contact point of the envelope surface of the milling cutter with the last surface varies. If this method is used to calculate the location of the cutting edge, the normal direction of each point on the surface of the shoe tree needs to be calculated, and the calculation amount is very large, resulting in low production efficiency.
Disclosure of Invention
The invention aims to provide a data conversion method between a shoe tree digital model and a processing cutter aiming at the defects of the prior art, the method simplifies complex mathematical calculation by utilizing a discretization and minimum distance method, greatly improves the calculation speed by utilizing a lookup table, solves the problem of calculating a cutter path in a numerical control last carving from discrete points on the curved surface of the shoe tree from the angle based on the discrete points on the curved surface, ensures the processing precision of the shoe tree and improves the production efficiency.
In order to accomplish the above object, the present invention provides a method of processing a footwear last, the method including the steps of:
step A: scanning the surface of the female shoe last to obtain surface data of the female shoe last;
and B: performing operation according to the scanned surface data, and converting the surface data into control parameters for controlling the movement track of the cutter point of the last carving machine milling cutter;
and C: and C, controlling the motion track of the milling cutter along the cutter point according to the control parameters in the step B, and processing the blank shoe last to obtain the same shoe last as the female shoe last.
The operation of step B includes:
discretizing the cutter head envelope surface in three coordinate systems and calculating the motion track of the cutter point; wherein,
the coordinate origin of the first coordinate system is positioned on the shoe tree, the space where the shoe tree is positioned is described by rectangular coordinates (x, y, Z), and the Z axis is consistent with the length direction of the shoe tree;
the origin of the second coordinate system is positioned on the shoe tree, the space where the shoe tree is positioned is described by cylindrical coordinates (r, alpha, Z), the origin of the second coordinate system is the same as the origin of the first coordinate system, and the Z axis of the second coordinate system is superposed with the Z axis of the first coordinate system;
the origin of coordinates of the third coordinate system is fixed on the milling cutter head and is the central point of the milling cutter head, the space where the milling cutter head is located is described by rectangular coordinates (x, y, Z), and the axis of the milling cutter head and the Z axis of the first coordinate system form an inclination angle theta;
when the inclination angle theta of the cutter head is equal to 0, the Z axis of the third coordinate system is in the same direction as the Z axis of the first coordinate system, and the X axis of the third coordinate system points to the Z axis of the first coordinate system and is vertical to the Z axis;
when the inclination angle theta of the cutter head is not equal to 0, the coordinate system is unchanged and still is XYZ, and only the whole cutter head rotates by the angle theta by taking the Y axis as the axis;
the method for calculating the motion trail of the knife location point specifically comprises the following steps:
setting the initial position of the center of the cutter head, wherein the specific steps comprise that the center O of the cutter head is positioned in a second coordinate system0Move to the next reference track point (r)O0,i,αO0,i,zO0,i) Coordinates of which and coordinates of the last trace point (r)O0,i-1,αO0,i-1,zO0,i-1) The relationship of (1) is:
<math> <mrow> <msub> <mi>z</mi> <mrow> <msub> <mi>O</mi> <mn>0</mn> </msub> <mo>,</mo> <mi>i</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>z</mi> <mrow> <msub> <mi>O</mi> <mn>0</mn> </msub> <mo>,</mo> <mi>i</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>&Delta;z</mi> <mn>0</mn> </msub> <mo>;</mo> </mrow> </math> <math> <mrow> <msub> <mi>&alpha;</mi> <mrow> <msub> <mi>O</mi> <mn>0</mn> </msub> <mo>,</mo> <mi>i</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>&alpha;</mi> <mrow> <msub> <mi>O</mi> <mn>0</mn> </msub> <mo>,</mo> <mi>i</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>&Delta;&alpha;</mi> <mn>0</mn> </msub> <mo>;</mo> </mrow> </math> r O 0 , i = R 0 ,
wherein, Δ z0And Δ α0The increment of the cutter head in the longitudinal direction z and the angle alpha direction when the cutter head performs spiral motion in a second coordinate system;
in the second coordinate system, obtaining the projection area D of the cutter head on the blank lastLDiscrete points of last inside, projected area DLIs the set of shoe tree discrete points that can be processed by the cutter at the current position;
coordinate transformation to project the region DLThe coordinates of the inner points are changed from the coordinates of the first coordinate system into the coordinates of the third coordinate system;
in a third coordinate system, calculating the horizontal distance d from each projection point to the envelope surface of the cutter headx,1The horizontal distance is the minimum distance from the projection point to the envelope surface of the cutter head along the X axis of the third coordinate system, and the minimum distance d is calculated from the horizontal distancesminDetermining a processing point in the projection area;
in a second coordinate system, calculating the central coordinate of the cutter head when the shoe tree is processed:
rnc,l=R0-dmin
αnc,i=αo,i
znc,i=zo,i
wherein r isnc,i=R0-dminI.e. the feed distance of the milling cutter during the last-cutting.
When the horizontal distance is calculated in the third coordinate system, for a point (x, y, z) on the shoe tree, the point does not need to be compared with each point in the lookup table, but the corresponding index can be quickly calculated through y and z, and the discrete point of the cutter head envelope surface closest to the y and z coordinates of the point is found. If the corresponding point does not exist, the fact that no corresponding point exists and no projection intersection point exists on the envelope surface of the cutter head is shown; if the coordinate value of the found point corresponding to the envelope surface is 999, the intersection point does not exist, the solution is an imaginary number solution, the imaginary solution is set to be 999 for processing convenience, and after the nearest cutter head discrete point corresponding to the point is found, the distance of the cutter head envelope surface is calculated by adopting an interpolation method;
in conclusion, the invention solves the problem of calculating the cutter path in the numerical control last carving by the discrete points of the curved surface of the shoe tree from the angle based on the discrete points of the curved surface. The invention simplifies complex mathematical calculation by using discretization and minimum distance method, and greatly improves the calculation speed by using the lookup table.
The technical solution of the present invention will be described in detail with reference to the accompanying drawings and specific embodiments.
Drawings
FIG. 1 is a schematic view of a discretized shoe tree surface;
FIG. 2 is a cross-sectional view of the milling cutter;
FIG. 3 is a schematic view of a cutter head connection structure;
FIG. 4 is an envelope surface of a milling cutter head;
FIG. 5 is a schematic view of a numerical control shoe last carving machine;
FIG. 6 is a schematic diagram showing the positional relationship between the envelope surface of the milling cutter head and the shoe tree;
FIG. 7 is a schematic diagram of the arrangement positions of three coordinate systems according to the present invention;
FIG. 8 is a flowchart illustrating the steps of the present invention process for manufacturing a footwear last;
FIG. 9 is a flowchart illustrating the process steps of the present invention for converting the scan data into control parameters for controlling the movement trajectory of the last-carving machine milling cutter.
Detailed Description
As shown in fig. 1, a schematic view of a discretized last surface. As can be seen from fig. 1, the shoe last surface 1 is a complex free-form surface closed body consisting of irregular curves and curves, the outer shape of which cannot be formed by elementary curves. The shoe tree contour obtained by three-dimensional scanning is composed of a series of discrete points, which meet certain precision requirements.
Generally, when processing the shoe tree, a numerical control shoe tree carving machine is adopted. Fig. 2 and 3 are schematic diagrams of a cross-sectional view of the milling cutter and a cutter head connection structure, respectively. As shown in fig. 2, the milling cutter 2 is designed in a bowl shape with a cut of about 30mm in diameter. As shown in fig. 3, 3 identical milling cutters 2 are fixed to a milling cutter head 3. One milling cutter 2 is placed at intervals of 120 deg.. During processing, the milling cutter head 3 rotates at a high speed of 7000-. Because of the high rotational speed, a part of the object to be machined is cut off as long as this part intersects the annular envelope surface.
The main machine of the numerical control last carving machine adopts a two-coordinate linkage processing mode when working, as shown in figure 5. The blank shoe last 1' to be processed is fixed on the C axis along the longitudinal direction and rotates around the C axis under the driving of the C axis stepping motor. Meanwhile, the numerical control shoe last carving machine drives the Z-axis sliding workbench to move left and right along the Z direction through the synchronous gear, the toothed belt and the screw rod. Through an X-axis stepping motor and a screw rod, an X-axis sliding workbench positioned on the Z-axis sliding workbench can translate back and forth along the X direction. And a high-speed explosion-proof motor fixed on the X-axis sliding workbench drives the milling cutter head to rotate at a high speed through a flat belt. Therefore, with the help of the two sliding working tables of the X axis and the Z axis, the cutter bowl rotating at high speed can freely move on the X-Z plane, the outer contour of each section of the blank shoe last can be processed according to the measured shoe last contour data by controlling the distance between the center of the milling cutter head 3 and the center of the C axis, and the needed shoe last can be obtained by cutting off redundant materials.
Due to the high-speed rotation of the milling cutter head, the whole cutter can be regarded as an envelope surface which is actually a circular envelope surface formed by rotating a circle (a milling cutter edge), and the machined material can be cut only by contacting the envelope surface. As shown in FIG. 4, a spatial coordinate system O is established0XYZ. Wherein, the circle with radius a rotates a circle around the Y' axis to form an envelope surface, and the circle center O1And the center O of the cutter head0Is b. In actual machining, the cutter head has an inclination angle theta, namely, the whole cutter head rotates anticlockwise by an angle theta around the Y' axis. The surface equation of the envelope surface is
<math> <mrow> <msup> <mrow> <mo>(</mo> <mo>&PlusMinus;</mo> <msqrt> <msup> <mrow> <mo>(</mo> <mi>x</mi> <mi>cos</mi> <mi>&theta;</mi> <mo>-</mo> <mi>z</mi> <mi>sin</mi> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>+</mo> <msup> <mi>y</mi> <mn>2</mn> </msup> </msqrt> <mo>-</mo> <mi>b</mi> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>+</mo> <msup> <mrow> <mo>(</mo> <mi>x</mi> <mi>sin</mi> <mi>&theta;</mi> <mo>+</mo> <mi>z</mi> <mi>cos</mi> <mi>&theta;</mi> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>=</mo> <msup> <mi>a</mi> <mn>2</mn> </msup> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mrow> <mo>(</mo> <mo>*</mo> <mo>)</mo> </mrow> </mrow> </math>
The numerical control last carving machine controls the position of the center of a milling cutter head, the position of the surface profile of the last is obtained by three-dimensional scanning, and the relationship between the two data is not a simple addition and subtraction relationship. Generally, the envelope surface of the milling cutter has only one contact point with the surface of the shoe last in the actual processing, namely, two surfaces are tangent.
Is easy to know from geometrical knowledgeIn order to determine the center position (tool location point) of the cutter head corresponding to a certain point (radius r in the second coordinate system) on the surface of the processing shoe tree, the diameter of the milling cutter notch can be added in the normal direction of the point, so as to obtain the center O of the milling cutter bowl mouth1The position of (a). Due to the center O of the milling cutter head0Point and O1The relative positions of the dots are not changed, so that it is easy to get from the point O1The position of the milling cutter head is calculated to obtain the center O of the milling cutter head0The position of the point. Since the last surface is an irregular curved surface, the normal of which varies almost everywhere, the contact point of the envelope surface of the milling cutter with the last surface also varies. When the method is used for calculating the cutter location point, the normal direction of each point on the surface of the shoe tree needs to be calculated, and the calculation amount is very large.
The invention adopts the minimum distance method to avoid normal calculation, thereby simplifying the calculation of the knife location point. In actual machining, when the last is in a certain position, there is only one contact point between the envelope surface of the cutterhead and the currently corresponding last surface, that is, the point that is first contacted when the rotating milling cutter moves along the X-axis towards the last. This point of contact has the characteristic of a minimum distance, i.e. when the cutterhead and the last surface are at a distance D (this distance only needs to ensure that the cutterhead and the last are not in contact), this point has the shortest distance (denoted D) projected onto the envelope surface in the direction of the X-axis feed, in the region where the envelope surface of the milling cutter is likely to touch the last surface (called the projected region)min). If the cutter head is fed along the X axis to the shoe tree, the distance is dminThis can be processed. The last can be carved by finding the knife position of all possible points on the surface of the last.
The next problem is to calculate the distance between a certain point on the shoe tree and the envelope surface of the cutter head. For each last point, y1=ys,i,j,z1=zs,i,jEquation is converted to about x1A one-dimensional quadratic equation of (a):
Ax 1 4 + Bx 1 3 + Cx 1 2 + Dx 1 + E = 0 . . . ( * * )
where A, B, C, D and E are coefficients generated when the equation (×) is transformed into the equation (×).
The distance x can be obtained by directly solving the equation by adopting an algebraic method1. But at a slow speed, tens of hours are required to complete the calculation of the entire last knife location. The main bottlenecks are the large amount of repetitive computations: each time a tool location is calculated, all last points in the projection area need to be compared (assuming N is present)iPoint) from the envelope of the cutter, i.e., the solution NiA secondary equation; when calculating the next tool location, it is still necessary to compare all the last points in the projection area (assuming that there is N)i+1Point) distance from the envelope of the cutter, and then, N is solvedi+1An equation. Solving the one-dimensional quadratic equation itself is complicated, and too many times increases the total computation time.
The invention adopts a lookup table and a discretization method, and improves the calculation time to 3 to 5 minutes. Skillfully establishing a coordinate system and discretizing so that only a linear equation needs to be solved; and the introduction of the lookup table almost does not need to solve the equation, thereby greatly improving the calculation speed.
To calculate the tool location, two preparations are first made.
First, 3 coordinate systems are established, as shown in figure 7,
1) first coordinate system XYZ: and a rectangular coordinate system fixed on the shoe tree, wherein the origin of the coordinate is O.
2) Second coordinate system R α Z: and a cylindrical coordinate system fixed on the shoe tree, wherein the origin of the coordinate is O.
3) A third coordinate system XYZ is provided,a rectangular coordinate system fixed on a milling cutter head: the origin of coordinates is the center O of the cutter head0When the inclination angle theta of the cutter head is equal to 0, the Z axis of the third coordinate system is in the same direction as the Z axis of the first coordinate system, and the X axis of the third coordinate system always points to the Z axis of the first coordinate system and is perpendicular to the Z axis. When θ is not 0, the coordinate system is not changed, but the entire cutter head is rotated by an angle θ about the Y axis. Since the third coordinate system is fixed on the milling cutter head, the equation of the envelope surface of the milling cutter head is invariable in the coordinate system.
Second, the cutter head envelope is discretized. The degree of discrete density is determined by the processing requirements. And storing the coordinates of all the discrete points in the third coordinate system into a file lookup table. Each row of the look-up table represents (x, y, z) coordinates of a point in the third coordinate system. Since the spacing between the y and z coordinates in the lookup table is fixed, the y and z coordinates in the lookup table actually represent the index of the point.
We can then begin to calculate the tool location.
The track of the cutter head consists of cutter points and is a spiral line. The calculation of the location of the entire last corresponds to a major cycle in the program, the milling tool being machined from the end of the last to the head of the last.
The following work is required for calculating each knife location:
1. an initial "reference position" of the center of the cutterhead is set. In a second coordinate system, the center O of the cutter head0Move to the next reference track point (r)O0,i,αO0,i,zO0,i) The coordinates of which are the coordinates of the last reference trace point (r)O0,i-1,αO0,i-1,zO0,i-1) The relationship of (1) is:
<math> <mrow> <msub> <mi>z</mi> <mrow> <msub> <mi>O</mi> <mrow> <mn>0</mn> <mo>,</mo> </mrow> </msub> <mi>i</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>z</mi> <mrow> <msub> <mi>O</mi> <mn>0</mn> </msub> <mo>,</mo> <mi>i</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>&Delta;z</mi> <mn>0</mn> </msub> <mo>,</mo> <msub> <mi>&alpha;</mi> <mrow> <msub> <mi>O</mi> <mn>0</mn> </msub> <mo>,</mo> <mi>i</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>&alpha;</mi> <mrow> <msub> <mi>O</mi> <mn>0</mn> </msub> <mo>,</mo> <mi>i</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>&Delta;&alpha;</mi> <mn>0</mn> </msub> <mo>,</mo> <msub> <mi>r</mi> <mrow> <msub> <mi>O</mi> <mn>0</mn> </msub> <mo>,</mo> <mi>i</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>R</mi> <mn>0</mn> </msub> <mo>,</mo> </mrow> </math>
wherein Δ z0And Δ α0The increment in the longitudinal direction z and the angle alpha direction when the cutter head performs spiral motion in a second coordinate system. The reference position means that the value is not the center O of the cutter head when the shoe tree is processed0The radius of the track of (a). Given the "reference position", the third coordinate system can be determined, and the last point can be represented in this coordinate system, thereby calculating the minimum distance. But the minimum distance is independent of the set value of the "reference position".
2. In the second coordinate system, selecting the projection area D of the envelope surface A of the milling cutter on the shoe tree 1LDiscrete points on the last inside, as shown in fig. 6.
3. Coordinate transformation to project the region DLThe coordinates of the inner point are changed from the coordinates of the first coordinate system to the coordinates of the third coordinate system.
4. In a third coordinate system, calculating the horizontal distance d from each projection point to the envelope surface of the cutter headx,1The minimum distance d is obtained by comparisonmin
1) Calculating a projection region DLEach point having a horizontal distance to the envelope surface
In the third coordinate system, for a point (x, y, z) on the shoe tree, the point does not need to be compared with each point in the lookup table, but the corresponding index can be rapidly calculated through y and z, and the discrete point of the cutterhead envelope surface closest to the y, z coordinate of the point is found. If the corresponding point does not exist, the fact that no corresponding point exists and no projection intersection point exists on the envelope surface of the cutter head is shown; if the coordinate value of the found corresponding point of the envelope surface is 999, the solution is an imaginary solution which shows that there is no intersection point, and the imaginary solution is set to be 999 for convenience of processing. And after the nearest cutterhead discrete point corresponding to the point is found, calculating the distance of the cutterhead envelope surface by adopting an interpolation method.
2) Calculating the minimum distance d among the distancesminThereby determining a machining point in the projection area.
5. In the second coordinate system, the central coordinates of the cutter head when processing the shoe tree are calculated
rnc,j=R0-dmin,αnc,i=α0,i,znc,i=zo,i
Wherein r isnc,i=R0-dminI.e. the cutting distance x of the milling cutter during the last-cutting.
The process of converting the scanned data into the control parameters for controlling the movement locus of the last carving machine milling cutter after the operation is performed is shown in fig. 9.
In summary, the overall process steps of processing the shoe tree according to the present invention are shown in fig. 8, and include:
step 101: scanning the surface of the female last to obtain surface data of the female last, wherein the surface data is used as a basic mathematical model for operation in the subsequent steps;
step 102: performing operation according to the surface data obtained by scanning in the step 101, and converting the surface data into control parameters for controlling the movement track of the cutter point of the milling cutter of the last carving machine;
step 103: and controlling the milling cutter to process the blank shoe last along the cutter location point according to the control parameters in the step 102 to obtain the same shoe last as the female shoe last.
Finally, it should be noted that the above-mentioned embodiments are only for illustrating the technical solutions of the present invention and not for limiting, although the present invention is described in detail with reference to the preferred embodiments, it should be understood by those skilled in the art that modifications or equivalent substitutions can be made on the technical solutions of the present invention without departing from the spirit and scope of the technical solutions of the present invention, and all that should be covered by the claims of the present invention.

Claims (2)

1. A method of manufacturing a footwear last, the method comprising:
step A: scanning the surface of the female shoe last to obtain surface data of the female shoe last;
and B: performing operation according to the scanned surface data, and converting the surface data into control parameters for controlling the movement track of the cutter point of the last carving machine milling cutter;
and C: and C, controlling a milling cutter to process the blank shoe last along the cutter location point according to the control parameters in the step B to obtain the shoe last identical to the female shoe last.
2. The method for manufacturing a footwear last according to claim 1, wherein said operation of step B comprises:
discretizing the cutter head envelope surface in three coordinate systems and calculating the motion track of the cutter point; wherein,
the coordinate origin of the first coordinate system is positioned on the shoe tree, the space where the shoe tree is positioned is described by rectangular coordinates (x, y, z), and the z axis is consistent with the length direction of the shoe tree;
the origin of the second coordinate system is positioned on the shoe tree, the space where the shoe tree is positioned is described by cylindrical coordinates (r, alpha, Z), the origin of the second coordinate system is the same as the origin of the first coordinate system, and the Z axis of the second coordinate system is superposed with the Z axis of the first coordinate system;
the origin of coordinates of the third coordinate system is fixed on the milling cutter head and is the central point of the milling cutter head, the space where the milling cutter head is located is described by rectangular coordinates (x, y, Z), and the axis of the milling cutter head and the Z axis of the first coordinate system form an inclination angle theta;
when the inclination angle theta of the cutter head is equal to 0, the Z axis of the third coordinate system is in the same direction as the Z axis of the first coordinate system, and the X axis of the third coordinate system points to the Z axis of the first coordinate system and is vertical to the Z axis;
when the inclination angle theta of the cutter head is not equal to 0, the coordinate system is unchanged and still is XYZ, and only the whole cutter head rotates by the angle theta by taking the Y axis as the axis;
the method for calculating the motion trail of the knife location point specifically comprises the following steps:
setting the initial position of the center of the cutter head, wherein the specific steps comprise that the center O of the cutter head is positioned in a second coordinate system0Move to the next reference track point (r)O0,i,αO0,i,zO0,i) Coordinates of which and coordinates of the last trace point (r)O0,i-1,αO0,i-1,zO0,i-1) The relationship of (1) is:
<math> <mrow> <msub> <mi>z</mi> <mrow> <msub> <mi>O</mi> <mn>0</mn> </msub> <mo>,</mo> <mi>i</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>z</mi> <mrow> <msub> <mi>O</mi> <mn>0</mn> </msub> <mo>,</mo> <mi>i</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <mo>+</mo> <mi>&Delta;</mi> <msub> <mi>z</mi> <mn>0</mn> </msub> <mo>;</mo> <msub> <mi>&alpha;</mi> <mrow> <msub> <mi>O</mi> <mn>0</mn> </msub> <mo>,</mo> <mi>i</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>&alpha;</mi> <mrow> <msub> <mi>O</mi> <mn>0</mn> </msub> <mo>,</mo> <mi>i</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <mo>+</mo> <mi>&Delta;</mi> <msub> <mi>&alpha;</mi> <mn>0</mn> </msub> <mo>;</mo> <msub> <mi>r</mi> <mrow> <msub> <mi>O</mi> <mn>0</mn> </msub> <mo>,</mo> <mi>i</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>R</mi> <mn>0</mn> </msub> <mo>,</mo> </mrow> </math>
wherein, Δ z0And Δ α0The increment of the cutter head in the longitudinal direction z and the angle alpha direction when the cutter head performs spiral motion in a second coordinate system;
in the second coordinate system, obtaining the projection area D of the cutter head on the blank lastLDiscrete points of last inside, projected area DLIs the set of shoe tree discrete points that can be processed by the cutter at the current position;
coordinate transformation to project the region DLThe coordinates of the inner points are changed from the coordinates of the first coordinate system into the coordinates of the third coordinate system;
in a third coordinate system, calculating the horizontal distance d from each projection point to the envelope surface of the cutter headx,lThe horizontal distance is the minimum distance from the projection point to the envelope surface of the cutter head along the X axis of the third coordinate system, and the minimum distance d is calculated from the horizontal distancesminDetermining a processing point in the projection area;
in a second coordinate system, calculating the central coordinate of the cutter head when the shoe tree is processed:
rnc,i=R0-dmin
αnc,i=αo,i
znc,i=zo,i
wherein r isnc,i=R0-dminI.e. the feed distance of the milling cutter during the last-cutting.
CNB2005100513145A 2005-03-07 2005-03-07 Method for processing shoe tree Expired - Fee Related CN100424601C (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CNB2005100513145A CN100424601C (en) 2005-03-07 2005-03-07 Method for processing shoe tree

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CNB2005100513145A CN100424601C (en) 2005-03-07 2005-03-07 Method for processing shoe tree

Publications (2)

Publication Number Publication Date
CN1831685A true CN1831685A (en) 2006-09-13
CN100424601C CN100424601C (en) 2008-10-08

Family

ID=36994024

Family Applications (1)

Application Number Title Priority Date Filing Date
CNB2005100513145A Expired - Fee Related CN100424601C (en) 2005-03-07 2005-03-07 Method for processing shoe tree

Country Status (1)

Country Link
CN (1) CN100424601C (en)

Cited By (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101977527A (en) * 2008-03-21 2011-02-16 纽拉斯特私人有限责任公司 Machine for producing blanks for the shoemaking industry
CN102354151A (en) * 2011-08-04 2012-02-15 浙江工业大学 Tangential following interpolation method applied to multilayer shoe leather numerical control cutting machine tool
CN106873522A (en) * 2017-02-13 2017-06-20 武汉理工大学 A kind of numerical control turning cutter path planing method of non-axis symmetry sweeping surface
CN108620648A (en) * 2018-06-08 2018-10-09 福州旭乐数控设备有限公司 Shoe tree preprocessing special equipment and its processing method
CN109352790A (en) * 2018-11-29 2019-02-19 佛山市盈胜智造科技有限公司 A kind of shoe tree followed by processing method and its equipment
CN114799303A (en) * 2022-05-24 2022-07-29 北京交通大学 High-speed numerical control shoe tree machining inclined edge circular milling cutter and optimal design method

Family Cites Families (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3696456A (en) * 1971-02-22 1972-10-10 Intern Nominees Bahamas Ltd Custom shoe construction system
JP3041039B2 (en) * 1990-05-11 2000-05-15 フット イメージ テクノロジー,インコーポレイテッド Integrated system for foot measurement, last and footwear manufacturing
CN2607823Y (en) * 2002-11-04 2004-03-31 郑豪迈 Digital controlled block cutting machine
EP1596682A1 (en) * 2003-02-20 2005-11-23 Thomas Fromme Method for producing made-to-measure orthopaedic shoes
JP2004305449A (en) * 2003-04-08 2004-11-04 Sumitomo Rubber Ind Ltd Method for manufacturing shoes

Cited By (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101977527A (en) * 2008-03-21 2011-02-16 纽拉斯特私人有限责任公司 Machine for producing blanks for the shoemaking industry
CN102354151A (en) * 2011-08-04 2012-02-15 浙江工业大学 Tangential following interpolation method applied to multilayer shoe leather numerical control cutting machine tool
CN102354151B (en) * 2011-08-04 2013-06-05 浙江工业大学 Tangential following interpolation method applied to multilayer shoe leather numerical control cutting machine tool
CN106873522A (en) * 2017-02-13 2017-06-20 武汉理工大学 A kind of numerical control turning cutter path planing method of non-axis symmetry sweeping surface
CN108620648A (en) * 2018-06-08 2018-10-09 福州旭乐数控设备有限公司 Shoe tree preprocessing special equipment and its processing method
CN109352790A (en) * 2018-11-29 2019-02-19 佛山市盈胜智造科技有限公司 A kind of shoe tree followed by processing method and its equipment
CN114799303A (en) * 2022-05-24 2022-07-29 北京交通大学 High-speed numerical control shoe tree machining inclined edge circular milling cutter and optimal design method

Also Published As

Publication number Publication date
CN100424601C (en) 2008-10-08

Similar Documents

Publication Publication Date Title
CN1831685A (en) Method for processing shoe tree
CN1303487C (en) Method of directing movement of tool as part of process to remove material from block of material
JP5650762B2 (en) Continuous process for producing face gears
CN101063881A (en) Numerical controller
CN1672871A (en) Digital profile grinder
CN1740932A (en) Intelligent control system for digital control machine tool and control method thereof
CN106873522B (en) A kind of numerical control turning cutter path planing method of non-axis symmetry sweeping surface
EP0107910A1 (en) Stitching module
CN2794744Y (en) Digital curve grinder
CN1802240A (en) A method for calibrating and programming of a robot application
US20210370455A1 (en) Control device for machine tool and machine tool
CN112013787A (en) Blade three-dimensional contour reconstruction method based on blade self-characteristics
CN1413790A (en) Drum taper tool and method for side milling complex cambered centrifugal impeller using drum taper tool
CN110587391A (en) Five-axis numerical control woodworking hard alloy cutter grinding machine
CN110032140A (en) Spherical cutter shaft vector planning method in five-axis machining
CN1186169C (en) Special five-freedom cutter grinding machine working head for parallel mechanism based mixing mechanism
CN1470342A (en) Radius end milling cutting and bevel gear forging die working method
CN113064383B (en) Cylindrical gear hobbing undeformed chip modeling method based on three-dimensional CAD software
CN114200891A (en) Model-free cylindrical casting inner cavity milling system and track planning method
TW201527018A (en) Gear-cutting machine
CN111421637B (en) Three-dimensional curved surface machining device and method and application
CN210849152U (en) Five numerical control PCD cutter machine tools
CN108723725A (en) A kind of processing method of aerial blade
CN1230772C (en) Process for contour control mochining of metal blocks
CN116100549B (en) Robot processing track design method, control device and medium

Legal Events

Date Code Title Description
C06 Publication
PB01 Publication
C10 Entry into substantive examination
SE01 Entry into force of request for substantive examination
C14 Grant of patent or utility model
GR01 Patent grant
ASS Succession or assignment of patent right

Owner name: ZHITONG ROBOT SYSTEM CO., LTD., LANGFANG CITY

Free format text: FORMER OWNER: XINAO BOWEI TECHNOLOGY CO., LTD.

Effective date: 20150608

C41 Transfer of patent application or patent right or utility model
TR01 Transfer of patent right

Effective date of registration: 20150608

Address after: Hongrun road 065001 Langfang City Development Zone in Hebei Province

Patentee after: INTERSMART ROBOTIC SYSTEMS Co.,Ltd.

Address before: 065001 Langfang City, Hebei Province Economic and Technological Development Zone Langfang Huaxiang

Patentee before: XINAO MDT TECHNOLOGY Co.,Ltd.

CF01 Termination of patent right due to non-payment of annual fee

Granted publication date: 20081008

CF01 Termination of patent right due to non-payment of annual fee