CN116305653A - Modeling method of drill point, electronic equipment and computer readable storage medium - Google Patents
Modeling method of drill point, electronic equipment and computer readable storage medium Download PDFInfo
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Abstract
The application discloses a modeling method of a drill point, electronic equipment and a computer readable storage medium, wherein the modeling method of the drill point comprises the following steps: obtaining structural parameters of the drill blade according to the machining conditions; establishing a first rectangular coordinate system on the end face of the drill blade by taking the center point of the drill blade as an origin, establishing a second rectangular coordinate system by taking the central axis of the drill blade as a coordinate axis, and obtaining a function of the end face profile of the drill blade in the first rectangular coordinate system and a function of the side profile of the drill blade in the second rectangular coordinate system according to the structural parameters; the function of the simultaneous end surface profile and the function of the simultaneous side surface profile are used for obtaining the definition domain or the value domain of each function according to the drawing principle.
Description
Technical Field
The application relates to the technical field of drill point design, in particular to a modeling method of a drill point, electronic equipment and a computer readable storage medium.
Background
Currently, modeling software is required to perform modeling when designing drill points. However, the existing modeling software has the problems of large volume, long modeling time and slow response time. Moreover, because the line of the plane graph of the drill point for drilling the PCB and the like is complex, the connection between parameters and the plane graph is difficult to establish, and at the present stage, the engineering graph of the drill point is usually modeled in three dimensions and then a two-dimensional plane CAD is derived.
Disclosure of Invention
An objective of the present application is to provide a modeling method for a drill point, an electronic device and a computer readable storage medium, which can solve at least one technical problem described above.
In order to achieve the above object, the present application provides a modeling method for a drill point, including:
obtaining structural parameters of the drill blade according to the machining conditions;
establishing a first rectangular coordinate system on the end face of the drill blade by taking the central point of the drill blade as an origin, establishing a second rectangular coordinate system by taking the central axis of the drill blade as a coordinate axis, and obtaining a function of the end face profile of the drill blade in the first rectangular coordinate system and a function of the side profile of the drill blade in the second rectangular coordinate system according to the structural parameters;
and combining the functions of the end surface contours and the functions of the side surface contours to obtain the definition domain or the value domain of each function according to the drawing principle.
Optionally, the structural parameters include: blade length, drill blade diameter, thread length, helix angle, back width, core thickness, front side blade width, point angle, first relief face angle, second relief face angle, towel back angle;
the functions of the end surface profile comprise an outer diameter circle function, a central line function, a chisel edge straight line function, a main cutting edge straight line function and a rear edge curve function;
the outer diameter circle function is determined by the drill edge diameter, the chisel edge straight line function is determined by a chisel edge included angle, the chisel edge included angle is determined by the point angle, the first relief angle and the second relief angle, the main cutting edge straight line function is determined by the core thickness, and the trailing edge curve function is determined by the core thickness and the chisel edge included angle;
the function of the side profile includes: a flute helix function, a boundary line function, a drill point curve function, and a tool withdrawal elliptical line function, wherein the drill point line function comprises: including a function of the profile of the chisel edge on the side, a function of the profile of the main cutting edge on the side, a function of the profile of the leading edge on the side, a function of the profile of the centerline on the side;
the flute helix function is determined by helix angle, back width, drill edge diameter, the boundary straight line function is determined by edge length and drill edge diameter, the drill point straight line function is determined by point angle and first relief face angle, the drill point curve function is determined by point angle, first relief face angle, second relief face angle, towel back angle and rear side edge diameter, and the withdrawal ellipse line function is determined by thread length and drill edge diameter.
Optionally, the first rectangular coordinate system takes the center line of the drill blade as a Y axis;
the outer diameter circle function is:
the centerline function is:
x 3 ＝0
the chisel edge linear function is:
y 4 ＝x 4 /tanθ
the calculation formula of θ is:
the main cutting edge linear functions L3 and L4 are respectively as follows:
x 5 ＝-a
x 6 ＝a
the curve functions of the rear edge are respectively as follows:
wherein D is the diameter of the drill edge, θ is the included angle of the chisel edge, α is the point angle, β1 is the first relief face angle, β2 is the second relief face angle, a is 1/2 of the core thickness, and m is a given even number greater than zero.
Optionally, in the second rectangular coordinate system, with the center point of the drill edge as an origin, an intersection point of the contour line of the adjacent first groove spiral line and the contour line of the second groove spiral line is located on the Y axis, and an intersection point of the contour line of the adjacent third groove spiral line and the contour line of the fourth groove spiral line is located on the Y axis;
the groove spiral line function is as follows:
the boundary linear function is:
x 20 ＝l 1
the drill tip straight line function includes:
y 30 ＝x 30 /tanα
the drill point curve function is:
the tool withdrawal elliptic line function C9 is as follows:
wherein, the liquid crystal display device comprises a liquid crystal display device,
the pitch angle is l6, the back width is l1, the edge length is gamma, the towel back angle is gamma, rc is the diameter of the rear edge, m is given even number larger than zero, and l2 is the thread length.
Optionally, the drill edge comprises a side cutter and a back grinding part, one side of the side cutter is connected with the spiral chip groove, a side wall of the side cutter facing the back grinding part is intersected with the first back cutter surface or the second back cutter surface to form a connecting side, the width of the side cutter is the front side edge width, and the diameter of the back side edge is smaller than the diameter of the drill edge;
the structural parameters further include: the edge knife is long;
the function of the end surface contour further comprises a reference circle function and a function of the contour of the connecting edge on the end surface;
the reference circle function is determined by the diameter of the rear side edge, and the function of the profile of the connecting edge on the end surface is determined by the front side edge width and the core thickness;
the reference circle function is:
the functions of the profiles of the connecting edges on the end surfaces are respectively as follows:
x 7 ＝-a+d 1
x 8 ＝a-d 1
wherein d1 is the front side blade width;
the function of the side profile further comprises: a side cutter spiral line function and a side cutter linear function;
the drill point straight line function further includes a function of the profile of the connecting edge on the side;
the edge cutter spiral line function is as follows:
the edge knife linear function is as follows:
x 24 ＝l 5
the function of the profile of the connecting edge on the side is:
wherein l5 is the length of the edge knife.
Optionally, the drill edge comprises a UC portion;
the structural parameters further include: the UC body diameter, the UC head length and the UC length;
the function of the side profile further comprises: a UC spiral function, a UC linear function;
the UC spiral line function is as follows:
the UC linear function is as follows:
x 22 ＝l 4
x 23 ＝l 3 +l 4
wherein d2 is UC body diameter, l4 is UC head length, and l3 is UC length.
Optionally, the method further comprises:
and generating an image of the end face contour and an image of the side face contour according to each function, a value range or a definition range thereof, a given scaling factor, a given image size and an image pixel.
Optionally, the generating the image of the end face contour and the image of the side face contour according to each function and the value range or the definition range thereof, the given scaling factor, the given image size and the pixel value includes:
calculating the abscissa value of each pixel boundary by the image size and the pixel value given in the first rectangular coordinate system or the second rectangular coordinate system, wherein each pixel point PI xy The method comprises four boundary points (i, j), (i+1, j), (i, j+1), (j+1 ), wherein the abscissa of the boundary points is the abscissa of the pixel boundary;
substituting the pixel boundary abscissa values into corresponding functions respectively to obtain function values of the functions in the corresponding pixel boundary abscissa values;
obtaining an image of the end face contour or an image of the side face contour according to a preset rule, the abscissa value of each pixel boundary and the corresponding function value;
the preset rule comprises the following steps:
if the function value of the function at the pixel boundary abscissa i is j after being rounded, the pixel point PI xy Is a display pixel; and
if the function value of the function at the pixel boundary abscissa i+1 is rounded down to j+n, the pixel point PI xy With PI xy+n The pixel points between the two pixels are display pixel points, and n is an integer;
otherwise, the pixel point is a hidden pixel point;
and displaying the display pixel points and the hidden pixel points in different display modes.
To achieve the above object, the present application further provides an electronic device, including:
a processor;
a memory having stored therein executable instructions of the processor;
wherein the processor is configured to perform the modeling method of the drill point as described above via execution of the executable instructions.
To achieve the above object, the present application further provides a computer readable storage medium having a program stored thereon, which when executed by a processor, implements a modeling method for a drill point as described above.
The present application also provides a computer program product or computer program comprising computer instructions stored in a computer readable storage medium. The processor of the electronic device reads the computer instructions from the computer readable storage medium and executes the computer instructions to cause the electronic device to perform the modeling method of the drill point as described above.
According to the modeling method of the drill point, the function of the end face profile of the drill point and the function of the side face profile of the drill point are obtained through given structural parameters, then the function of the end face profile and the function of the side face profile are combined to obtain the definition domain or the value domain of each function, further, the two-dimensional image of the end face profile can be generated based on each function of the end face profile and the definition domain or the value domain thereof, and the two-dimensional image of the side face profile is generated based on each function of the side face profile and the definition domain or the value domain thereof, and three-dimensional modeling is not needed.
Drawings
Fig. 1a and 1b are end face structure diagrams of a drill point according to an embodiment of the present application.
Fig. 2 is a side view of a drill point according to an embodiment of the present application.
Fig. 3a and 3b are side view block diagrams of different views of a partial structure of a drill point according to an embodiment of the present application.
Fig. 4a and 4b are schematic diagrams of functions of the end profile of an embodiment of the present application.
Fig. 5 is a schematic diagram of a groove spiral function in accordance with an embodiment of the present application.
Fig. 6 is a schematic diagram of a side-cutter helix function according to an embodiment of the present application.
Fig. 7 is a schematic diagram of the UC spiral function according to an embodiment of the present application.
Fig. 8 is a schematic diagram of boundary linear functions, edge knife linear functions, and UC linear functions according to an embodiment of the present application.
Fig. 9 is a schematic diagram of a drill point straight line function and a drill point curve function according to an embodiment of the present application.
Fig. 10 is a schematic diagram of a tool withdrawal ellipsis function according to an embodiment of the present application.
Fig. 11 is a schematic pixel diagram of a given image in an embodiment of the present application.
Fig. 12 is a schematic diagram of capturing a display pixel and a hidden pixel according to an embodiment of the present application.
Detailed Description
In order to describe the technical content, constructional features, achieved objects and effects of the present application in detail, the following description is made in connection with the embodiments and the accompanying drawings.
Fig. 1-3 b illustrate a drill point that may be designed using the modeling method of the drill point of the present application, although the modeling method of the drill point of the present application is not limited to designing the drill point in this example.
In this example, the drill comprises a drill edge 100, on which two helical flutes 20 are formed, the drill edge 100 being formed with a drill tip 30 at its end, the drill tip 30 having a drill tip 31 (centre point) and two first flank surfaces 32 and two second flank surfaces 33 symmetrical about the drill tip 31, each first flank surface 32 being connected to one second flank surface 33 by a common edge 34 (the contour of the two edges 34 on the end face, defined as the centre line, being defined as the plane passing through the drill tip 31 of the drill, perpendicular to the centre axis of the drill edge 100), the other second flank surface 33 being connected by a chisel edge 35, the two chisel edges 35 intersecting at the drill tip 31, the side of each first flank surface 32 opposite the edge 34 forming a main cutting edge 36, the side of each second flank surface 33 opposite the edge 34 being curved forming a flank 37, each 36 intersecting with the corresponding main cutting edge 37 respectively at a point distal from the drill tip 31 and the two helical flutes 20, respectively. The two helical flutes 20 form a land therebetween that is connected to the first relief surface 32 and the second relief surface 33, the land comprising a side blade 50 and a ground back 60 formed on one side of the side blade 50 by grinding, the side blade 50 intersecting the first relief surface 32 to form a leading edge 38, the ground back 60 intersecting the second relief surface 33 and the first relief surface 32 to form a trailing edge 39, and a side wall of the side blade 50 facing the ground back 60 intersecting the first relief surface 32 to form a connecting edge 40. It will be appreciated that when the edge blade 50 and the back grind 60 are formed, the front side blade 38 and the back side blade 39 are not limited to the above-described formation; for example, the front side edge 38 may be formed by the intersection of the edge 50 with the first relief surface 32 and the second relief surface 33, the rear side edge 39 may be formed by the intersection of the back grind portion 60 with the second relief surface 33, and the connecting edge 40 may be formed by the intersection of the side wall of the edge 50 facing the back grind portion 60 with the second relief surface 32; alternatively, the leading edge 38 may be formed by the intersection of the edge 50 with the first relief surface 32 and the trailing edge 39 may be formed by the intersection of the ground back 60 with the second relief surface 33, with the connecting edge 40 coinciding with the edge 34. In addition, it should be noted that in other embodiments, the edge 50 and the back 60 may not be formed, the trailing edge 39 may be formed by the intersection of the side wall of the drill edge 100 and the second flank surface 32, and further, the trailing edge 39 and the leading edge 38 may intersect at one end of the edge 34.
The drill point relates to the following structural parameters: blade length l1, drill blade diameter D, thread length l2, helix angle
Back width l6, core thickness 2a, front side blade width d1, point angle α, first relief angle β 1 Second relief angle beta 2 And the towel back angle gamma. These structural parameters are known to those skilled in the art and the meaning of the structural parameters can also be determined from the identification in the drawings, not hereAnd will be described in detail.
As a result of the formation of the edge blade 50 and the grinding back 60, the structural parameters involved also include: edge length l5 (length of edge 50 along the center axis of drill edge 100). The width of the edge 50 is the distance between the connecting edge 40 and the main cutting edge 36, and also the width d1 of the front side edge 38, and is smaller than the width of the first relief surface 32 (i.e., the width between the edge 34 and the main cutting edge 36) in the example shown in the drawings, but is not limited thereto.
Due to the formation of the ground back 60, the diameter of the circle of the trailing edge 39 (defined as the trailing edge diameter Rc) is smaller than the drill edge diameter D, which is defined herein as the reference circle concentric with the outer diameter circle (defined by the drill edge diameter D).
Further, in this example, the drill point is a UC-type drill point. The drill edge 100 includes a UC portion 70, the diameter of the UC portion 70 being slightly smaller than the drill edge diameter D. Here, the length of the UC portion 70 is defined as UC length l3, the diameter of the UC portion 70 is defined as UC body diameter d2, and the distance between the UC portion 70 and the drill tip 31 (in the direction of the central axis of the drill blade 100) is defined as UC head length l4.
Referring to fig. 1 to 10, an embodiment of the present application discloses a modeling method for a drill point, including:
s1, acquiring structural parameters of the drill blade 100 according to machining conditions. I.e. the structural parameters are given based on the processing conditions.
S2, a first rectangular coordinate system is established on the end face of the drill blade 100 by taking the center point 31 of the drill blade 100 as an origin, a second rectangular coordinate system is established by taking the central axis of the drill blade 100 as a coordinate axis, and a function of the end face profile of the drill blade 100 and a function of the side profile of the drill blade 100 are obtained in the first rectangular coordinate system according to the structural parameters.
In this application, the functions of the end face profile include the functions that define the end face profile, and the functions of the side face profile include the functions that define the side face profile.
S3, a function of the simultaneous end face profile and a function of the simultaneous side face profile are used for obtaining a definition domain or a value domain of each function according to a drawing principle.
In some embodiments, the knotThe construction parameters include: blade length l1, drill blade diameter D, thread length l2, helix angle
Back width l6, core thickness 2a, front side blade width d1, point angle α, first relief angle β 1 Second relief angle beta 2 And the towel back angle gamma.
The functions of the end surface profile include an outer diameter circle function (C1), a center line function (L1), a chisel edge straight line function (L2), main cutting edge straight line functions (L3, L4), and trailing edge curve functions (C3, C4). Here, the center line function (L1) refers to a function of the center line, and the chisel edge straight line function (L2) refers to a function of the contour of the both chisel edges 35 on the end surface. The meaning of these functions is defined in conjunction with the accompanying drawings and will not be explained in detail here.
The outer diameter circle function (C1) is determined by the drill diameter D, the chisel edge straight line function (L2) is determined by the chisel edge included angle θ, the chisel edge included angle θ is determined by the point angle α, the first relief angle β1 and the second relief angle β2, the main cutting edge straight line functions (L3, L4) are determined by the core thickness 2a, and the trailing edge curve functions (C3, C4) are determined by the core thickness 2a and the chisel edge included angle θ.
The function of the side profile includes: flute helix function (H1, H2, H3, H4), boundary line function (L7, L8, L9), drill point line function, drill point curve function (C5, C6), tool withdrawal elliptic line function (C9), wherein the drill point line function comprises: including a function of the profile of the chisel edge 35 on the side (L13, L14), a function of the profile of the main cutting edge 36 on the side (L16, L19), a function of the profile of the leading edge 38 on the side (L15, L20), and a function of the profile of the centerline on the side (L18). The flute helix function (H1, H2, H3, H4) refers to a function of the profile of the four sides of the two helical flutes 20 along the sides. The boundary linear functions (L7, L8, L9) are used to define the boundaries of the side profile of the drill edge 100. The drill point curve function (C5, C6) includes a function of the profile of a trailing edge 37 on the side and a function of the profile of a trailing edge 39 on the side. The drill is grooved by the grinding wheel, and when the grinding wheel is retracted, the grinding wheel slowly rises to form an ellipse, and a retracting elliptic line function (C9) is used for defining the ellipse.
The groove helix functions (H1, H2, H3, H4) are defined by helix angles
The back width L6, the drill edge diameter D, the boundary linear function (L7, L8, L9) is determined by the edge length L1 and the drill edge diameter D, the point linear function (L13-L16, L18-L20) is determined by the point angle α and the first relief angle β1, the point curve function (C5, C6) is determined by the point angle α, the first relief angle β1, the second relief angle β2, the towel back angle γ and the diameter Rc of the rear edge 39, and the withdrawal elliptical function (C9) is determined by the thread length L2 and the drill edge diameter D.
Specifically, the first rectangular coordinate system uses the center line of the drill blade 100 as the Y axis;
the outer diameter circle function (C1) is:
the centerline function (L1) is:
x 3 ＝0
the chisel edge straight line function (L2) is:
y 4 ＝x 4 /tanθ
the calculation formula of θ is:
the main cutting edge linear functions (L3, L4) are respectively:
x 5 ＝-a
x 6 ＝a
the trailing edge curve functions (C3, C4) are respectively:
wherein D is the diameter of the drill edge, θ is the included angle of the chisel edge, α is the point angle, β1 is the first relief face angle, β2 is the second relief face angle, a is 1/2 of the core thickness, and m is a given even number greater than zero.
Specifically, the second rectangular coordinate system uses the center point 31 of the drill blade 100 as the origin, and in the second rectangular coordinate system, the intersection point of the contour line of the adjacent first flute spiral line and the contour line of the second flute spiral line is located on the Y axis, and the intersection point of the contour line of the adjacent third flute spiral line and the contour line of the fourth flute spiral line is located on the Y axis. It should be explained that the adjacent first flute helix and second flute helix belong to two helical junk slots 20, which are flute helices of two helical junk slots 20 that are close to each other, and correspondingly, the other two flute helices of two helical junk slots 20 that are close to each other are a third flute helix and a fourth flute helix.
The groove helix functions (H1, H2, H3, H4) are:
the boundary straight-line functions (L7, L8, L9) are:
x 20 ＝l 1
the drill tip straight line functions (L13-L16, L18-L20) include:
y 30 ＝x 30 /tanα
the drill point curve functions (C5, C6) are:
the tool withdrawal elliptic line function (C9) is:
wherein, the liquid crystal display device comprises a liquid crystal display device,
for the helix angle, l6 is the back width,l1 is the blade length, γ is the wipe back angle, rc is the diameter of the back side blade 39, m is a given even number greater than zero, and l2 is the thread length.
In the function of the drill point curve function (C5), the diameter Rc of the rear edge 39 is different in different examples, and when the drill edge 100 is not provided with the edge blade 50 and the back grinding portion 60, the diameter Rc of the rear edge 39 may be equal to the drill edge diameter D, and when the drill edge 100 is provided with the edge blade 50 and the back grinding portion 60, the diameter Rc of the rear edge 39 is smaller than the drill edge diameter D.
Specifically, the drill blade 100 includes a side blade 50 and a back grinding portion 60, one side of the side blade 50 is connected with the spiral chip groove 20, the side wall of the side blade 50 facing the back grinding portion 60 intersects with the first back blade surface 32 or the second back blade surface 33 to form a connecting side 40, the width of the side blade 50 is the front side blade width D1, and the diameter of the back side blade 39 is smaller than the drill blade diameter D;
the structural parameters further include: the length l5 of the edge knife;
the function of the end face profile also comprises a function (L5, L6) of the reference circle (C2), the profile of the connecting edge 40 on the end face;
the reference circle function (C2) is determined by the diameter Rc of the rear side edge 39, and the functions (L5, L6) of the profile of the connecting edge 40 on the end face are determined by the front side edge width d1 and the core thickness 2 a;
the reference circle function (C2) is:
the functions (L5, L6) of the profile of the connecting edge 40 on the end face are respectively:
x 7 ＝-a+d 1
x 8 ＝a-d 1
wherein d1 is the front side blade width;
the function of the side profile further includes: a side cutter spiral function (H5, H6, H7, H8), a side cutter straight function (L12);
the drill point straight line function also includes a function (L17) of the profile of the connecting edge 40 on the side;
the edge-knife helix functions (H5, H6, H7, H8) are:
the edge tool linear function (L12) is:
x 24 ＝l 5
the function (L17) of the profile of the connecting edge 40 on the side is:
wherein l5 is the length of the edge knife.
Wherein the reference circle function (C2) refers to a function of the contour of the above-mentioned reference circle on the end face.
The edge helix function (H5, H6, H7, H8) refers to a function of the profile of the four edges of the two helical edge knives 50 along the sides.
The edge straight line function (L12) is used to define the boundary of the edge 50 in the central axis direction.
Specifically, the drill edge 100 includes a UC portion 70; the structural parameters further include: UC body diameter d2, UC head length l4 and UC length l3; the function of the side profile further includes: UC helix functions (H1 ', H2', H3', H4'), UC straight line functions (L7 ', L9', L10, L11);
the UC helix functions (H1 ', H2', H3', H4') are:
the UC straight-line functions (L7 ', L9', L10, L11) are:
x 22 ＝l 4
x 23 ＝l 3 +l 4
wherein d2 is UC body diameter, l4 is UC head length, and l3 is UC length.
Where UC spiral functions (H1 ', H2', H3', H4') refer to the profile of two helical flutes 20 on the sides of the four edge lines of UC portion 70.
The UC straight functions (L7 ', L9', L10, L11) are used to define the boundaries of the contour on the side of the UC portion 70.
Specifically, the function of the side profile is combined to obtain a definition or value range of each function of the side profile, including:
the simultaneous functions H1, H4 and L9 obtain intersection points
The domain of function H1 +.>
Wherein->
An i-th intersection point from the origin to the positive X-axis direction is represented, and n is a given positive integer;
definition field x 'of function H1' 11 ∈(l 4 ,l 3 +l 4 )∩x 11 ；
The simultaneous functions H2 and H3, L7 obtain intersection points
The domain of the function H2
Definition field x 'of function H2' 12 ∈(l 4 ,l 3 +l 4 )∩x 12 ；
The simultaneous functions H3 and L9 obtain the intersection point
The domain of function H3 +.>
Definition field x 'of function H3' 12 ∈(l 4 ,l 3 +l 4 )∩x 13 ；
The simultaneous functions H4, L7 and L19 obtain intersection points
The domain of function H4->
Definition field x 'of function H4' 14 ∈(l 4 ,l 3 +l 4 )∩x 14 ；
The simultaneous functions H5 and H4, H6 and C6 obtain intersection points
The domain of the function H5
The simultaneous functions H6 and L7 and L9 obtain intersection points
The domain of the function H6
The simultaneous function H7 and the function H2, H8 obtain an intersection point
The domain of the function H7
The simultaneous functions H8, H7 and L9 obtain intersection points
The domain of the function H8
The simultaneous functions L7, H1, H3 and L16 give intersection points
The domain of the function L7
Value range of function L8
Simultaneous functions L9, H2, H4 and L20, obtain intersection points
The domain of the function L9
/>
The domain of the function L7' is:
the domain of the function L9' is:
the simultaneous functions L10 and H2, H4, H6, H8 obtain intersection points
The value range of the function L10 is:
the simultaneous functions L11, H2, H4, H6, H8 obtain intersection points
The value range of the function L11 is:
the simultaneous functions L12, H5, H6, H7, H8 obtain intersection points
The value range of the function L12 is:
the simultaneous functions L13 and L16 give the intersection point
The domain of the function L13->
The simultaneous functions L14 and L19 yield the intersection point
The domain of the function L14->
The simultaneous functions L15 and L16 and L17 obtain intersection points
The domain of the function L15
Definition field of function L16
The simultaneous functions L17 and L15 and C5 obtain intersection points
The domain of the function L17
The simultaneous functions L18 and C5 give the intersection point
The domain of the function L18->
The simultaneous functions L19 and L20 give intersection points
The domain of the function L19->
Definition field of function L20
The simultaneous functions C5 and C6 give the intersection point
The domain of function C5->
The simultaneous functions C6 and L19 yield the intersection point
The domain of function C6 +.>
/>
The simultaneous function C9 and the functions H1, H2, H3 and H4 obtain intersection points
If l 2 -R∈x 11 ∩x 13 The domain of function C9 is then:
value range of function C9:
if l 2 -R∈x 12 ∩x 14 Definition field of function C9:
value range of function C9:
specifically, the function of the end face profile is combined to obtain a definition field or a value field of each function of the end face profile, including:
value range of function L1
The simultaneous functions L2 and L3 and L4 are used to obtain intersection points
And->
The domain of the function L2
The simultaneous functions L3 and C1 obtain the intersection point
The value range of the function L3 +.>
The simultaneous functions L4 and C1 obtain the intersection point
The value range of the function L4 +.>
The simultaneous functions L5, C1 and C2 are used for obtaining intersection points
And->
The value range of the function L5
Simultaneous functions L6 and C1C2, obtain the intersection point
And->
The value range of the function L6 +.>
The simultaneous functions C3 and L2 and C2 obtain intersection points
And->
The value range of function C3
The simultaneous functions C4 and L2 and C2 obtain intersection points
And->
The value range of function C3
After the value range or the definition range of each function is obtained, an image of the end face contour and an image of the side face contour can be generated according to each function, the value range or the definition range thereof, the given scaling factor, the given image size and the image pixels.
Referring to fig. 11 to 12b, specifically, generating an image of an end face contour and an image of a side face contour according to each function and a value range or definition thereof, a given zoom ratio, a given image size and a pixel value, includes:
calculating the abscissa value of each pixel boundary by the given image size and pixel value in the first rectangular coordinate system or the second rectangular coordinate system, wherein each pixel point PI xy Comprises four boundary points (i, j), (i+1, j), (i, j+1),(j+1 ), the abscissa of the boundary point being the pixel boundary abscissa;
substituting the pixel boundary abscissa values into corresponding functions respectively to obtain function values of the functions in the corresponding pixel boundary abscissa values;
obtaining an image of an end face contour or an image of a side face contour according to a preset rule, and the abscissa value of each pixel boundary and the corresponding function value;
the preset rules comprise:
if the function value of the function at the pixel boundary abscissa i is j after being rounded, the pixel point PI xy Is a display pixel; and
if the function value of the function at the pixel boundary abscissa i+1 is rounded down to j+n, the pixel point PI xy With PI xy+n The pixel points between the two pixels are display pixel points, and n is an integer;
otherwise, the pixel point is a hidden pixel point;
the display pixel points and the hidden pixel points are displayed in different display modes. In particular, different display modes refer to different colors.
Because the display modes of the hidden pixel points and the display pixel points are different, the images of the end surface outline and the side surface outline can be displayed on the display screen through the different arrangement of the display pixel points and the hidden pixel points.
Please refer to the example shown in connection with fig. 11-12 b, in which the function is 1 after the function value of the pixel boundary abscissa 1 is rounded, the pixel point P defined by the boundary points (1, 1), (2, 1), (1, 2), (2, 2) 11 To visualize a pixel, the function is 3 after the function value of the pixel boundary abscissa 2 is rounded, and the pixel P is defined by the boundary points (1, 2), (2, 2), (1, 3), (2, 3) 12 And a pixel point P defined by boundary points (1, 3), (2, 3), (1, 4), (2, 4) 13 Is a display pixel.
According to the modeling method of the drill point, the function of the end surface contour of the drill edge 100 and the function of the side surface contour of the drill edge 100 are obtained through the given structural parameters, then the function of the end surface contour and the function of the side surface contour are combined to obtain the definition domain or the value domain of each function, further, the two-dimensional image of the end surface contour can be generated based on each function of the end surface contour and the definition domain or the value domain of each function of the side surface contour, and the two-dimensional image of the side surface contour is generated based on each function of the side surface contour and the definition domain or the value domain of each function of the side surface contour, three-dimensional modeling is not needed, and compared with the current three-dimensional modeling software, the modeling method of the drill point can reduce the software volume, reduce modeling time consumption and improve response speed.
The embodiment of the application also discloses electronic equipment, which comprises:
a processor 30;
a memory 40 having stored therein executable instructions of the processor 30;
wherein the processor 30 is configured to perform the modeling method of the drill point as described above via execution of the executable instructions.
The embodiment of the application also discloses a computer readable storage medium, wherein a program is stored on the computer readable storage medium, and the program is executed by a processor to realize the modeling method of the drill point.
The present application also discloses a computer program product or a computer program comprising computer instructions stored in a computer readable storage medium. The processor of the electronic device reads the computer instructions from the computer readable storage medium and executes the computer instructions to cause the electronic device to perform the modeling method of the drill point described above.
It should be appreciated that in embodiments of the present application, the processor may be a central processing module (CentralProcessing Unit, CPU), which may also be other general purpose processors, digital signal processors (DigitalSignal Processor, DSP), application specific integrated circuits (Application SpecificIntegrated Circuit, ASIC), off-the-shelf programmable gate arrays (Field-Programmable Gate Array, FPGA) or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, or the like. A general purpose processor may be a microprocessor or the processor may be any conventional processor or the like.
Those skilled in the art will appreciate that the processes implementing all or part of the methods of the above embodiments may be implemented by hardware associated with computer program instructions, and the program may be stored in a computer readable storage medium, where the program when executed may include processes of embodiments of the methods described above. The storage medium may be a magnetic disk, an optical disk, a Read-only memory (ROM), a Random access memory (Random AccessMemory, RAM), or the like.
In the foregoing embodiments, the descriptions of the embodiments are emphasized, and for parts of one embodiment that are not described in detail, reference may be made to the related descriptions of other embodiments.
The foregoing disclosure is only illustrative of the preferred embodiments of the present application and is not intended to limit the scope of the claims hereof, as defined by the equivalents of the claims.
Claims (10)
1. A method of modeling a drill point, comprising:
obtaining structural parameters of the drill blade according to the machining conditions;
establishing a first rectangular coordinate system on the end face of the drill blade by taking the central point of the drill blade as an origin, establishing a second rectangular coordinate system by taking the central axis of the drill blade as a coordinate axis, and obtaining a function of the end face profile of the drill blade in the first rectangular coordinate system and a function of the side profile of the drill blade in the second rectangular coordinate system according to the structural parameters;
and combining the functions of the end surface contours and the functions of the side surface contours to obtain the definition domain or the value domain of each function according to the drawing principle.
2. The modeling method of a drill point according to claim 1, wherein,
the structural parameters include: blade length, drill blade diameter, thread length, helix angle, back width, core thickness, front side blade width, point angle, first relief face angle, second relief face angle, towel back angle;
the functions of the end surface profile comprise an outer diameter circle function, a central line function, a chisel edge straight line function, a main cutting edge straight line function and a rear edge curve function;
the outer diameter circle function is determined by the drill edge diameter, the chisel edge straight line function is determined by a chisel edge included angle, the chisel edge included angle is determined by the point angle, the first relief angle and the second relief angle, the main cutting edge straight line function is determined by the core thickness, and the trailing edge curve function is determined by the core thickness and the chisel edge included angle;
the function of the side profile includes: a flute helix function, a boundary line function, a drill point curve function, and a tool withdrawal elliptical line function, wherein the drill point line function comprises: including a function of the profile of the chisel edge on the side, a function of the profile of the main cutting edge on the side, a function of the profile of the leading edge on the side, a function of the profile of the centerline on the side;
the flute helix function is determined by helix angle, back width, drill edge diameter, the boundary straight line function is determined by edge length and drill edge diameter, the drill point straight line function is determined by point angle and first relief face angle, the drill point curve function is determined by point angle, first relief face angle, second relief face angle, towel back angle and rear side edge diameter, and the withdrawal ellipse line function is determined by thread length and drill edge diameter.
3. A method of modeling a drill point as defined in claim 2, wherein,
the first right-angle coordinate system takes the central line of the drill blade as a Y axis;
the outer diameter circle function is:
the centerline function is:
x 3 ＝0
the chisel edge linear function is:
y 4 ＝x 4 /tanθ
the calculation formula of θ is:
the main cutting edge linear functions L3 and L4 are respectively as follows:
x 5 ＝-a
x 6 ＝
the curve functions of the rear edge are respectively as follows:
wherein D is the diameter of the drill edge, θ is the included angle of the chisel edge, α is the point angle, β1 is the first relief face angle, β2 is the second relief face angle, a is 1/2 of the core thickness, and m is a given even number greater than zero.
4. A method of modeling a drill point according to claim 3,
the second rectangular coordinate system takes the center point of the drill blade as an origin, in the second rectangular coordinate system, the intersection point of the contour line of the adjacent first groove spiral line and the contour line of the second groove spiral line is positioned on the Y axis, and the intersection point of the contour line of the adjacent third groove spiral line and the contour line of the fourth groove spiral line is positioned on the Y axis;
the groove spiral line function is as follows:
the boundary linear function is:
x 20 ＝ 1
the drill tip straight line function includes:
y 30 ＝ 30 /anα
the drill point curve function is:
the tool withdrawal elliptic line function C9 is as follows:
wherein, the liquid crystal display device comprises a liquid crystal display device,
the pitch angle is l6, the back width is l1, the edge length is gamma, the towel back angle is gamma, rc is the diameter of the rear edge, m is given even number larger than zero, and l2 is the thread length.
5. The method of modeling a drill point of claim 4,
the drill blade comprises a side blade and a back grinding part, one side of the side blade is connected with the spiral chip groove, the side wall of the side blade facing the back grinding part is intersected with the first back blade surface or the second back blade surface to form a connecting side, the width of the side blade is the front side blade width, and the diameter of the back side blade is smaller than the diameter of the drill blade;
the structural parameters further include: the edge knife is long;
the function of the end surface contour further comprises a reference circle function and a function of the contour of the connecting edge on the end surface;
the reference circle function is determined by the diameter of the rear side edge, and the function of the profile of the connecting edge on the end surface is determined by the front side edge width and the core thickness;
the reference circle function is:
the functions of the profiles of the connecting edges on the end surfaces are respectively as follows:
x 7 ＝-a+d 1
x 8 ＝-d 1
wherein d1 is the front side blade width;
the function of the side profile further comprises: a side cutter spiral line function and a side cutter linear function; the drill point straight line function further includes a function of the profile of the connecting edge on the side; the edge cutter spiral line function is as follows:
the edge knife linear function is as follows:
x 24 ＝ 5
the function of the profile of the connecting edge on the side is:
wherein l5 is the length of the edge knife.
6. The method of modeling a drill point of claim 4,
the drill edge comprises a UC part;
the structural parameters further include: the UC body diameter, the UC head length and the UC length;
the function of the side profile further comprises: a UC spiral function, a UC linear function; the UC spiral line function is as follows:
the UC linear function is as follows:
x 22 ＝ 4
x 23 ＝ 3 + 4
wherein d2 is UC body diameter, l4 is UC head length, and l3 is UC length.
7. The modeling method of a drill point of any of claims 1 to 6, further comprising:
and generating an image of the end face contour and an image of the side face contour according to each function, a value range or a definition range thereof, a given scaling factor, a given image size and an image pixel.
8. The method of modeling a drill point of claim 7,
the generating the image of the end face contour and the image of the side face contour according to each function, the value range or the definition range thereof, the given scaling factor, the given image size and the pixel value comprises the following steps:
calculating the abscissa value of each pixel boundary by the image size and the pixel value given in the first rectangular coordinate system or the second rectangular coordinate system, wherein each pixel point PI xy The method comprises four boundary points (i, j), (i+1, j), (i, j+1), (j+1 ), wherein the abscissa of the boundary points is the abscissa of the pixel boundary;
substituting the pixel boundary abscissa values into corresponding functions respectively to obtain function values of the functions in the corresponding pixel boundary abscissa values;
obtaining an image of the end face contour or an image of the side face contour according to a preset rule, the abscissa value of each pixel boundary and the corresponding function value;
the preset rule comprises the following steps:
if the function value of the function at the pixel boundary abscissa i is j after being rounded, the pixel point PI xy Is a display pixel; and
if the function value of the function at the pixel boundary abscissa i+1 is rounded down to j+n, the pixel point PI xy With PI xy+n The pixel points between the two pixels are display pixel points, and n is an integer;
otherwise, the pixel point is a hidden pixel point;
and displaying the display pixel points and the hidden pixel points in different display modes.
9. An electronic device, comprising:
a processor;
a memory having stored therein executable instructions of the processor;
wherein the processor is configured to perform the modeling method of the drill point of any of claims 1 to 8 via execution of the executable instructions.
10. A computer readable storage medium, on which a program is stored, characterized in that the program, when being executed by a processor, implements a modeling method of a drill point according to any of claims 1 to 8.
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| CN110599594A (en) * | 2019-07-29 | 2019-12-20 | 成都理工大学 | Three-dimensional modeling method for rock physical structure |
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| CN105653819A (en) * | 2016-01-23 | 2016-06-08 | 西安工业大学 | Integral vertical milling cutter three-dimensional parametric modeling method uses for machining process |
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