CN113094828B - Design method of special high-speed integral tapping cutter - Google Patents

Design method of special high-speed integral tapping cutter Download PDF

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CN113094828B
CN113094828B CN202110356782.2A CN202110356782A CN113094828B CN 113094828 B CN113094828 B CN 113094828B CN 202110356782 A CN202110356782 A CN 202110356782A CN 113094828 B CN113094828 B CN 113094828B
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tapping
angle
cutting
cutter
milling cutter
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CN113094828A (en
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颜培
马彬鈃
焦黎
王西彬
顾慧卿
陈仕齐
滕龙龙
仇天阳
赵斌
刘志兵
周天丰
解丽静
梁志强
沈文华
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Beijing Institute of Technology BIT
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    • A01—AGRICULTURE; FORESTRY; ANIMAL HUSBANDRY; HUNTING; TRAPPING; FISHING
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    • A01G23/10—Tapping of tree-juices, e.g. caoutchouc, gum
    • A01G23/12—Knives or axes for tapping
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Abstract

The invention relates to the field of tapping tools, in particular to an electric special tapping tool which can accurately, quickly and efficiently cut a natural rubber tree and has good tapping performance and drainage performance. The invention provides a design method of an integral rotary milling cutter matched with an automatic tapping device. The milling cutter head is formed by rotating the front end face along a conical surface spiral line; rubber tapping can be performed while a rubber liquid drainage groove is processed; the milling head adopts the design of a large front angle, a large rear angle and a small wedge angle, so that the cutting edge is sharp enough, the cutting heat in the rubber tapping process is reduced, and the rubber liquid can flow out easily; the design of the conical spiral blade and the spiral groove is adopted, so that the blade is ensured to be gradually cut in the cutting process, and the unevenness of a cutting surface caused by impact is reduced; the spiral groove can smoothly discharge the cutting scraps, and the influence of residual sawdust on the quality of rubber liquid is avoided. The invention greatly improves the tapping efficiency and the tapping quantity on the premise of meeting the tapping standard and simultaneously reduces the tapping cost.

Description

Design method of special high-speed integral tapping cutter
Technical Field
The invention relates to a tapping cutter, in particular to a design method of a special tapping cutter which can accurately, quickly and efficiently cut a natural rubber tree and has good tapping performance and drainage performance.
Background
Natural rubber is an important raw material in the rubber industry and is widely applied in the fields of automobiles, medical treatment and the like. At present, the tapping mode of the natural rubber tree is mainly that a tapping worker uses a traditional manually ground V-shaped cutter to perform pushing type or pulling type cutting. In the process of cutting the rubber trees, the requirements on the inclination and the depth of a cutting line, the control of cutting the cutting line and the like are high, and a rubber tapping worker with mature technology can only cut more than 300 rubber trees in one day. The tapping work needs to be carried out by a tapping worker when the temperature is low at about 3 hours in the morning. The manual tapping has higher technical requirements on a tapping worker, and simultaneously, the labor cost of latex production is greatly increased.
In order to solve the problems, the electric tapping technology is applied. The automatic machine replaces manual work, so that the tapping efficiency can be effectively improved, and a large amount of cost can be saved. Patent CN110012809A proposes a tapping tool in rubber bark, that is, without damaging the wood part of the tree, the bark layer with mature latex tube is cut in the bark in axial direction around the trunk, and the contact of the latex discharged from the cutting surface with the outside is reduced. But the phenomenon of blockage of a glue outlet can be caused by unsmooth chip removal in the cutting process, and the glue outlet time is prolonged; the electric tapping cutter consisting of the cylindrical cutter body and the spiral blade group is adopted in the patent CN105075799A, the tapping efficiency is higher, the resistance for cutting bark can be effectively reduced, and bark fragments are discharged outside the tree body. But no rubber liquid drainage groove is reserved after rubber tapping, so that the rubber liquid is wasted; in patent CN110558198A, a combined cutter composed of an oval slot milling cutter and a straight slot milling cutter is used to cut the drainage slots. However, the blade is not sharp enough, and the rubber latex outlet pipe of the cut surface can be damaged in the rubber tapping process, the quality of the cut surface is deteriorated, the rubber output is influenced, and the rubber liquid is wasted. In addition, the use of the electric tapping technology ensures a correct tapping method and how to promote the tapping effect of the electric tapping, ensures that the cutting depth accurately reaches the cortex of the rubber tree without damaging the cambium, and simultaneously has good chip removal capability, high tapping smoothness, rubber liquid flow conductivity and the like, and provides higher requirements.
In summary, the prior art disclosed in the above patent has the following disadvantages: firstly, although the existing rubber tapping cutter can improve the rubber tapping efficiency to a certain extent, the cut surface after cutting is damaged or not smooth enough, so that a rubber latex outlet pipe of a rubber tree is blocked, and the rubber tapping quantity is influenced; secondly, sawdust generated by rubber tapping cannot be smoothly discharged, residual sawdust cannot be discharged completely, and the quality of rubber liquid is influenced; and thirdly, in the rubber tapping process, smooth drainage grooves for rubber liquid to flow out cannot be processed simultaneously, so that the rubber liquid flows out along the side face to cause loss or guide and blockage of the rubber liquid. Therefore, further improvement and perfection are needed for the dedicated tapping tool matched with the automatic tapping device.
Disclosure of Invention
The invention aims to solve the technical problem of designing a novel integral tapping milling cutter which is simple in structure and can process a smooth tapping surface and a rubber liquid drainage groove aiming at the defects of the existing electric tapping cutter. The milling cutter design method provided by the invention is matched with a tapping device for use, so that tapping automation is realized, and tapping efficiency is greatly improved on the premise of meeting the tapping standard.
In order to solve the technical problems, the invention adopts the following steps:
firstly, designing a cutting edge line of an integral tapping milling cutter in a tapping device;
the integral tapping milling cutter comprises a milling cutter head and a cutter bar, wherein the cutter bar is arranged on the cutter handle; establishing a tool coordinate system O-XYZ, wherein the working profile surfaces of the rotary tool are all rotary surfaces, and the expression is as follows:
r ═ f (u) cos ψ, f (u) sin ψ, g (u) } (one)
In the formula (I), f (u) is the radius of gyration of the surface of revolution, psi is the included angle between f (u) and the positive direction of the X axis;
Figure GDA0003661703100000021
g (u) ═ z, and the revolution surface of the helical taper is:
Figure GDA0003661703100000022
in the formula (II), the first and second groups,
Figure GDA0003661703100000023
is a milling cutter head cone half-cone angle, PzIs a conical surface helical lead;
helix angle beta of point with radius f (u) on edge line0The following relationship is satisfied:
Figure GDA0003661703100000024
then
Figure GDA0003661703100000031
Secondly, the large end face radius of the integral tapping milling cutter is obtained by using the tapping removal amount as a target function;
and designing the cutting characteristic angle of the integral tapping milling cutter in the tapping device.
The step II is that the large end face radius is obtained in the following process, and the tapping removal rate of the integral tapping milling cutter is as follows:
Figure GDA0003661703100000032
in the formula (V), h is the actual tapping width,
Figure GDA0003661703100000033
is a maximum cutDepth of glue, VfIn order to provide a feed per minute,
Figure GDA0003661703100000034
the conical surface half cone angle of the milling cutter head;
when the integral tapping milling cutter moves from the initial position 1 'to the final position 2' after the time t, the projection component of the central angle of the axis of the corresponding integral tapping milling cutter on the horizontal plane is theta, and the volume of the removed material is as follows:
Figure GDA0003661703100000035
in the formula (VI), R is the radius of the rubber tree, and omega is the helical angle of a cutting surface;
from the point at which V is equal to Qt,
Figure GDA0003661703100000036
substituted into formula (five) and formula (six) to obtain
Figure GDA0003661703100000037
In the formula (VII), T is the time required for cutting for one week;
when the radius of the large end face of the integral tapping milling cutter is RaAnd the corresponding milling area is as follows:
Figure GDA0003661703100000038
in the formula (eight), the reaction mixture is,
Figure GDA0003661703100000039
is the feed per tooth, n is the main shaft rotation speed, ZnThe number of teeth of the integral tapping milling cutter;
when the cutting width is changed from 0 to h, the corresponding integral tapping mill cross-section radius:
Figure GDA0003661703100000041
the corresponding milling depth is:
Figure GDA0003661703100000042
therefore, the corresponding milling area is as follows:
Figure GDA0003661703100000043
the cutting volume per tooth is then:
Figure GDA0003661703100000044
when the tapping working condition and the volume of the removed material are determined during actual tapping, the large end face radius R of the integral tapping milling cutter is obtained by adopting a numerical iteration methoda。
Step three, the working rake angle gamma changes along with the change of the cutting widthhThe change of (A) is as follows:
Figure GDA0003661703100000045
in the formula (thirteen), γ is a rake angle;
working relief angle alphahThe change of (c) is:
Figure GDA0003661703100000046
in the formula (fourteen), α is a back angle.
The milling cutter head comprises a milling cutter head front end face along a half cone angle
Figure GDA0003661703100000047
The conical surface of (2) is rotated by a conical surface spiral line to form a conical surface spiral blade anda helical groove; the front end surface of the milling cutter head comprises 3 cutting edges which are uniformly distributed, and a characteristic rake angle gamma of each cutting edge is an included angle between a base surface and a rake face and ranges from 35 degrees to 40 degrees; the characteristic clearance angle alpha of the cutting edge is an included angle between the cutting plane and the rear cutter face and ranges from 25 degrees to 30 degrees; the characteristic wedge angle beta of the cutting edge is an included angle between the front cutter face and the rear cutter face, the range of the included angle is 20-30 degrees, and the cutting edges are all transited by circular arcs.
The axis of the cutter bar is perpendicular to and intersected with the axis of the rubber tree all the time, and the milling head directly acts on the rubber tree.
Compared with the prior art, the invention has the following technical effects: the design method of the tapping milling cutter is based on the tapping removal amount, so that the tapping milling cutter is more attached to the tapping production process, and the design method of the tapping milling cutter corrects the cutter angle in the working process of the milling cutter, thereby being beneficial to the actual tapping effect of the cutter; when the rubber tapping device is used in combination with an automatic rubber tapping device, the rubber tapping depth can be accurately controlled to reach the yellow bark layer of a rubber tree without damaging a cambium; the cutting edge of the milling cutter adopts an equal-lead conical surface spiral curve, and the integral tapping milling cutter with unequal spiral angles can reduce the vibration of the cutter in the tapping process and improve the smoothness of the tapping surface; the invention adopts the conical surface design, on one hand, the splashing of the rubber liquid in the rubber tapping process is prevented, on the other hand, the rubber liquid drainage groove can be simultaneously cut at one time, the collection of the rubber liquid is facilitated, and the waste is avoided; the invention adopts the design of the conical surface spiral blade and the spiral groove, ensures that the blade is gradually cut in the cutting process, and reduces the unevenness of a cutting surface caused by impact; the invention adopts the design of the conical spiral groove, and the spiral groove can smoothly discharge the cutting scraps, thereby avoiding the influence of the residual sawdust on the quality of rubber solution; the design size of the thickness of the milling cutter head is larger than the actual cutting depth in the rubber tapping process, and when the large end face of the cutter is abraded, enough reserved amount still exists, so that the rubber tapping can be continuously finished without replacing a new cutter; the rake angle of the cutting edge of the milling cutter head is 35-40 degrees, the large rake angle reduces the cutting deformation and the flowing resistance of tree scraps, reduces the cutting heat in the rubber tapping process and prevents rubber liquid from being solidified due to overhigh temperature; the cutting edge back angle of the milling cutter head is 25-30 degrees, the larger back angle reduces the friction between the back cutter surface of the milling cutter and the cut rubber tree bark layer, prevents the rubber discharge blockage caused by the damage to a latex tube, and is beneficial to the outflow of rubber liquid; the wedge angle of the cutting edge of the milling cutter head is 20-30 degrees, and the cutting edge is sharp enough due to the smaller wedge angle, so that a smooth tapping surface is cut, and the glue yield is ensured; the invention adopts the design of the sharp edge with the large end surface, so that the fibrous tissues of the rubber trees at the root parts of the drainage grooves can be easily broken during cutting, and the smoothness of the drainage grooves is ensured; the invention adopts integral design, has simple structure and good rigidity, and is convenient for the whole sharpening during the preparation of the cutter.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the embodiments or the description of the prior art will be briefly described below, it is obvious that the drawings in the following description are only some embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to the drawings without creative efforts.
FIG. 1 is a schematic view of the assembly and operation of the present invention with an automatic tapping apparatus;
FIG. 2 is an enlarged view of a portion of FIG. 1;
FIG. 3 is a flow chart of the design of the integral tapping milling cutter;
FIG. 4 is a schematic structural view of an integral right-handed three-blade tapping milling cutter;
FIG. 5 is a schematic end view of an integral right-hand three-blade tapping milling cutter;
FIG. 6 is a schematic view of an integral left-handed three-edged tapping milling cutter;
FIG. 7 is a schematic end view of an integral left-handed three-edged tapping milling cutter;
FIG. 8 is a graphical representation of a cutting edge parameter;
FIG. 9 is a front view of a tapping process;
FIG. 10 is a top view of a tapping process;
FIG. 11 is a graph showing the relationship between the number of teeth of the tapping milling cutter and the tapping removal rate;
FIG. 12 is a graph showing the relationship between the radius of the large end face of the milling cutter and the tapping removal rate;
FIG. 13 is a graph of feed rate per minute versus tapping removal rate;
in the figure: 1 integral tapping milling cutter, 2 tapping device, 3 rubber tree, 4 drainage grooves, 5 automatic tapping device knife handle, 101 milling head, 102 knife handle, 101a cutting edge, 101b spiral groove, 101c milling head front end face, 101d cutting plane, 101e basal plane, 101f front knife surface, 101g rear knife surface, helical angle of omega cutting surface,
Figure GDA0003661703100000061
Conical surface half cone angle P of milling cutter headzIncluded angles between the conical surface spiral lead and the positive X-axis direction of the psi gyration radius, the thickness of an H milling cutter head, the H actual tapping width, the gamma front angle, the alpha back angle, the beta wedge angle and the gammahWorking rake angle, alphahWorking relief angle, R rubber Tree radius, RaRadius of large end face of milling cutter, dhMaximum tapping depth, VfThe feed amount per minute, the component of the central angle of the theta cutter axis on the horizontal plane, the initial position of the 1 'rubber tapping knife and the position of the 2' rubber tapping knife after t time.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be obtained by a person skilled in the art without inventive effort based on the embodiments of the present invention, are within the scope of the present invention.
The overall scheme flow chart is shown in fig. 3.
Designing a cutting edge line of a special tapping cutter:
the working profile surfaces of the rotary cutter are all rotary surfaces and can be expressed as follows:
r (f) (u) cos ψ, f (u) sin ψ, g (u) } (one)
In the formula (I), f (u) is the radius of gyration of the surface of revolution, psi is the included angle between f (u) and the positive direction of the X axis;
a rectangular coordinate system is established as shown in FIG. 8, so
Figure GDA0003661703100000071
g (u) z, the surface of revolution of the helical taper can be expressed as:
Figure GDA0003661703100000072
in the formula (II), the first and second groups,
Figure GDA0003661703100000073
is a conical half-cone angle, P, of the milling head 101zA conical helix lead (mm);
helix angle beta of point with radius f (u) on edge line0The following relationship is satisfied:
Figure GDA0003661703100000074
then
Figure GDA0003661703100000075
The tapping removal rate of the integral tapping milling cutter 1 is as follows:
Figure GDA0003661703100000081
in the formula (V), h is the actual tapping width (mm),
Figure GDA0003661703100000082
is the maximum tapping depth (mm),
Figure GDA0003661703100000083
the conical half-cone angle of the milling head 101;
as shown in fig. 9 and 10, when the unitary tapping milling cutter 1 moves from the starting position 1 'to the end position 2' over the time t, the projection component of the central angle passed by the axis of the corresponding milling cutter 1 on the horizontal plane is θ, and the volume of the removed material is:
Figure GDA0003661703100000084
in the formula (VI), R is the radius (mm) of the rubber tree 3, and omega is the helical angle of a cutting surface;
from the point at which V is equal to Qt,
Figure GDA0003661703100000085
substituted into the formulas (seven) and (eight),
Figure GDA0003661703100000086
in the formula (VII), T is the time (min) required for cutting for one week;
the cone half angle of milling head 101 can be determined based on the actual tapping removal rate.
When the radius of the large end surface of the integral tapping milling cutter 1 is RaAnd the corresponding milling area is as follows:
Figure GDA0003661703100000087
in the formula (eight), the reaction mixture is,
Figure GDA0003661703100000088
is the feed per tooth (mm/Z), n is the spindle speed (rpm), ZnThe number of teeth of the integral tapping milling cutter 1;
when the cutting width is changed from 0 to h, the cross-section radius of the corresponding integral tapping milling cutter 1 is as follows:
Figure GDA0003661703100000089
the corresponding milling depth is:
Figure GDA00036617031000000810
therefore, the corresponding milling area is as follows:
Figure GDA0003661703100000091
the cutting volume per tooth is then:
Figure GDA0003661703100000092
the above is a calculation method of removing material during the first tapping, and the tapping depth is a certain value d during the subsequent tapping1Volume V removeddCan be derived in a similar manner.
Therefore, when the tapping working condition and the volume of the removed material are determined during actual tapping, the large end face radius of the integral tapping milling cutter 1 can be obtained by adopting a numerical iteration method.
The lead of the conical surface spiral line is determined to be 85mm, the conical surface half cone angle is determined to be 5 degrees, the thickness of the milling cutter head is 8.5mm, and the radius of the large end face of the milling cutter is 10 mm.
Designing the angle of the special tapping cutter:
the cutting edge working rake angle gamma changes along with the change of the cutting widthhIs changed into
Figure GDA0003661703100000093
In the formula (thirteen), γ is a rake angle;
working relief angle alphahIs changed into
Figure GDA0003661703100000094
In the formula (fourteen), alpha is a rear angle;
while
Figure GDA0003661703100000095
So that gamma is increased as the cutting width is increasedhAnd alphahAnd will increase accordingly. In order to ensure the strength and durability of the cutting edge of the tapping milling cutter, the wedge angle beta is required to be between 20 and 30 degrees, so that the front angle gamma and the back angle alpha of the cutting edge need to be corrected.
The cutting edge is defined by a rake angle gamma of 40 DEG, a relief angle alpha of 30 DEG and a wedge angle beta of 20 deg. As shown in fig. 5 and 7, the end surface of the right-handed three-edged large end and the end surface of the left-handed three-edged large end are respectively illustrated.
Designing a special tapping cutter:
as shown in fig. 1 and 2, the integral tapping milling cutter 1 is mounted on a shank 5 of a tapping device 2.
As shown in fig. 4, the integral tapping milling cutter 1 of the present invention is composed of a milling cutter head 101 and a cutter bar 102, wherein the milling cutter head 101 is formed by rotating a conical helix with a conical helix lead of 85mm from an initial radius of 10mm along a conical surface with a half cone angle of 5 ° at a milling cutter head front end face 101c, and a hole with a depth of 1mm and a diameter of 6mm is designed at the milling cutter head front end face 101 c; the cutter bar 102 is a cylinder with the length of 36mm and the diameter of 6 mm; the milling cutter comprises three cutting edges 101a, wherein the rake angle gamma of the cutting edge is 40 degrees, the relief angle alpha of the cutting edge is 30 degrees, the wedge angle beta of the cutting edge is 20 degrees, and the cutting edges 101a are all transited by circular arcs. As shown in fig. 4 and 6, which are schematic diagrams of right-handed three-edge and left-handed three-edge integrated tapping milling cutters, respectively.
Fourthly, clamping the rubber tapping tool in the rubber tapping device 2 according to the designed special rubber tapping tool:
the working principle of the invention is as follows: the integral tapping milling cutter 1 is arranged on a cutter handle 5 of the tapping device 2, the axis of the integral tapping milling cutter 1 is always perpendicular to and intersected with the axis of a trunk of the rubber tree 3, the integral tapping milling cutter 1 is driven by a high-speed spindle motor to rotate and simultaneously move along the longitudinal direction and the circumferential direction of the rubber tree along with a moving mechanism of the tapping device 2, and finally a spiral cutting surface with a helical angle omega is formed. The thickness H of the milling head 101 is greater than the actual tapping width H. The rubber liquid overflows from the cutting surface and flows into the rubber liquid collecting container along the drainage groove 4.
DETAILED DESCRIPTION OF EMBODIMENT (S) OF INVENTION
Taking the parameters of the integral tapping milling cutter 1 and the parameters of the rubber tree 3 designed in the invention as examples for specific explanation, the angle omega of the cutting face helix angle of the rubber tree 3 is 60 degrees, the tapping depth h is 2mm, the radius R of the rubber tree 3 is 150mm, the cutting time T of one circle is 1min, the main shaft rotating speed n is 200rpm, and the tapping feed amount is determined by the formula (VII)
Figure GDA0003661703100000111
The feed per tooth is then:
Figure GDA0003661703100000112
the actual rubber tapping removal rate is required to be 0.189cm3Min is obtained by formula (nine):
Figure GDA0003661703100000113
the conical half-cone angle of the milling head 101 is thus 5 °.
When the actual tapping width h is changed from 0 to 2mm, the corresponding milling area is as follows:
Figure GDA0003661703100000114
the cutting volume of each tooth is as follows:
Figure GDA0003661703100000115
calculating the tapping removal rate of the tapping milling cutter according to the cutting volume of each tooth
Figure GDA0003661703100000116
The radius of the large end of the milling head 101 is about 10mm by reverse thrust with a numerical iteration method.
Meanwhile, a graph of the rubber tapping removal amount of the integral rubber tapping milling cutter 1 along with the change of the number of teeth of the milling cutter, the radius of the large end face of the milling cutter and the feed speed per minute is obtained, and corresponding parameter values can be quickly searched as shown in the attached drawings 11, 12 and 13.
The embodiments described above are only preferred embodiments of the present invention and are not exhaustive of the possible implementations of the present invention. Any obvious modifications to the above would be obvious to those of ordinary skill in the art, but would not bring the invention so modified beyond the spirit and scope of the present invention.

Claims (3)

1. A design method of a special high-speed integral tapping cutter is characterized by comprising the following steps:
firstly, designing a cutting edge line of the integral tapping milling cutter (1);
the integral tapping milling cutter (1) comprises a milling cutter head (101) and a cutter bar (102), wherein the cutter bar (102) is arranged on the cutter handle (5); establishing a tool coordinate system O-X-Y-Z, wherein the working profile surfaces of the rotary tool are all rotary surfaces, and the expression of the rotary tool is as follows:
r ═ f (u) cos ψ, f (u) sin ψ, g (u) } (one)
In the formula (I), f (u) is the radius of gyration of the surface of revolution, psi is the included angle between f (u) and the positive direction of the X axis;
Figure FDA0003682875030000011
g (u) ═ z, and the revolution surface of the helical taper is:
Figure FDA0003682875030000012
in the formula (II), the reaction solution is,
Figure FDA0003682875030000013
is a conical half cone angle, P, of the milling head (101)zIs a conical surface helical lead;
helix angle beta of point with radius f (u) on edge line0Satisfy the requirements ofThe following relationships:
Figure FDA0003682875030000014
then
Figure FDA0003682875030000018
Secondly, the large end face radius of the integral tapping milling cutter (1) is obtained by using the tapping removal amount as a target function; the step II is that the large end face radius is obtained in the following process, and the tapping removal rate of the integral tapping milling cutter (1) is as follows:
Figure FDA0003682875030000015
in the formula (V), h is the actual tapping width,
Figure FDA0003682875030000016
maximum tapping depth, VfIn order to provide a feed per minute,
Figure FDA0003682875030000017
is a conical surface half cone angle of the milling cutter head (101);
when the integral tapping milling cutter (1) moves from the initial position 1 'to the final position 2' after the time t, the projection component of the central angle of the axis of the corresponding integral tapping milling cutter (1) on the horizontal plane is theta, and the volume of the removed material is as follows:
Figure FDA0003682875030000021
in the formula (VI), R is the radius of the rubber tree (3), and omega is the helical angle of a cutting surface;
by the sum of V-Qt,
Figure FDA0003682875030000022
substituted into formula (five) and formula (six) to obtain
Figure FDA0003682875030000023
In the formula (VII), T is the time required for cutting for one week;
when the radius of the large end surface of the integral tapping milling cutter (1) is RaAnd the corresponding milling area is as follows:
Figure FDA0003682875030000024
in the formula (eight), the reaction mixture is,
Figure FDA0003682875030000025
is the feed per tooth, n is the main shaft rotation speed, ZnThe number of teeth of the integral tapping milling cutter (1);
when the cutting width is changed from 0 to h, the cross section radius of the corresponding integral tapping milling cutter (1):
Figure FDA0003682875030000026
the corresponding milling depth is:
Figure FDA0003682875030000027
therefore, the corresponding milling area is as follows:
Figure FDA0003682875030000028
the cutting volume per tooth is then:
Figure FDA0003682875030000029
when the tapping working condition and the volume of the removed material are determined during actual tapping, the large end face radius R of the integral tapping milling cutter (1) is obtained by adopting a numerical iteration methoda；
Designing the cutting characteristic angle of the integral tapping milling cutter (1);
with variation of cutting width, working rake angle gammahThe change of (A) is as follows:
Figure FDA0003682875030000031
in the formula (thirteen), γ is a rake angle;
working relief angle alphahThe change of (A) is as follows:
Figure FDA0003682875030000032
in the formula (fourteen), α is a relief angle.
2. The design method of the special high-speed integral tapping cutter according to claim 1, characterized in that: the milling head (101) is formed by a milling head front end surface (101c) along a half cone angle
Figure FDA0003682875030000033
A cutting edge (101a) and a spiral groove (101b) which form a conical spiral by rotating a conical spiral line; the milling head front end surface (101c) comprises 3 cutting edges (101a) which are uniformly distributed, and a characteristic rake angle gamma of each cutting edge (101a) is an included angle between a base surface (101e) and a rake surface (101f), and ranges from 35 degrees to 40 degrees; the characteristic clearance angle alpha of the cutting edge (101a) is an included angle between the cutting plane (101d) and the flank face (101g), and the range of the clearance angle alpha is 25-30 degrees; the characteristic wedge angle beta of the cutting edge (101a) is an included angle between a front cutter face (101f) and a rear cutter face (101g), the included angle ranges from 20 degrees to 30 degrees, and the cutting edges are all transited by circular arcs.
3. The design method of the special high-speed integral tapping cutter according to claim 1, characterized in that: the axis of the cutter bar (102) is perpendicular to and intersected with the axis of the rubber tree (3) all the time, and the milling head (101) directly acts on the rubber tree (3).
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