CN110110420A - A kind of hourglass worm Gear shape process modeling method, device and equipment - Google Patents
A kind of hourglass worm Gear shape process modeling method, device and equipment Download PDFInfo
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Abstract
The present invention provides a kind of hourglass worm Gear shape process modeling methods, comprising: according to hourglass worm design parameter, simulates the turning campaign of hourglass worm and the relative position of lathe tool and hourglass worm, establishes hourglass worm base threedimensional model；According to the geometric parameter of lathe tool, lathe tool geometrical model is established, and hourglass worm base threedimensional model and lathe tool geometrical model is combined to establish hourglass worm turning threedimensional model；According to hourglass worm working process parameter, the turning campaign of lathe tool and hourglass worm is simulated, locus of tool edge curved surface threedimensional model is established in segmentation；By carrying out operation to hourglass worm base threedimensional model, subtract locus of tool edge curved surface threedimensional model, establish hourglass worm flank profil threedimensional model, and adjust hourglass worm flank profil threedimensional model, complete the building of hourglass worm threedimensional model, based on the present invention, high-precision model and coordinate parameters can be provided when processing hourglass worm for lathe, the problems such as effective solution hourglass worm modeling is difficult.
Description
Technical field
The present invention relates to worm screw machining modeling field, in particular to a kind of hourglass worm Gear shape process modeling method, device
And equipment.
Background technique
With the development of numerical control processing gear technique, also gradually obtained now for the hourglass worm processing with complex teeth surfaces
To realization, but Numeric Control Technology processes hourglass worm, first has to the high-precision coordinate parameter that input meets numerical control processing requirement.At present
For some hourglass worms with complex teeth surfaces, the coordinate parameters of the flank of tooth are obtained, main means are carried out by computer
What complicated Conjugate Equation solution or discrete method asked the cumbersome operation for handing over again surface fitting to obtain, the consuming time is too long, and
Obtained tooth accuracy is lower, cannot react the meshing quality between complicated conjugate tooth profiles well.Therefore, meet numerical control to obtain
The high-precision coordinate parameter of processing request and the three-dimensional entity model for establishing hourglass worm become increasingly it is necessary to.Comparatively fast to obtain
The 3D solid of high-precision hourglass worm is obtained, efficiently correctly hourglass worm modeling method is basis.
Summary of the invention
The invention discloses a kind of hourglass worm Gear shape process modeling method, device and equipment, according to hourglass worm, lathe tool
Design parameter and simulation turning campaign, establish hourglass worm threedimensional model, provide high-precision model and coordinate for numerical control processing
Parameter.
First embodiment of the invention provides a kind of hourglass worm Gear shape process modeling method, comprising:
According to hourglass worm design parameter, the turning campaign of hourglass worm and the opposite position of lathe tool and hourglass worm are simulated
It sets, establishes hourglass worm base threedimensional model；
According to the geometric parameter of lathe tool, lathe tool geometrical model is established, and in conjunction with the hourglass worm base threedimensional model and institute
It states lathe tool geometrical model and establishes hourglass worm turning threedimensional model；
According to hourglass worm working process parameter, the turning campaign of the lathe tool and hourglass worm is simulated, knife is established in segmentation
Sword track curved surface threedimensional model；
By carrying out operation to the hourglass worm base threedimensional model, the locus of tool edge curved surface threedimensional model is subtracted, is built
Vertical hourglass worm flank profil threedimensional model, and the hourglass worm flank profil threedimensional model is adjusted, complete hourglass worm threedimensional model
Building, provides high-precision model and coordinate parameters when processing hourglass worm for lathe.
It is preferably, described that the turning campaign of the lathe tool and hourglass worm is simulated according to hourglass worm working process parameter,
Locus of tool edge curved surface threedimensional model is established, specifically:
The lathe tool is equipped with the first blade, the second blade, and first blade is equipped with first endpoint and second end
Point, segmentation generate the first locus of tool edge helix and the second locus of tool edge helix, and second blade is equipped with first end
Point and second endpoint, segmentation generate third locus of tool edge helix and the 4th locus of tool edge helix；
By first and Article 2 locus of tool edge of first endpoint and the generation of second endpoint on first blade
Helix constitutes the first sword rail track curved surface, and second blade is equipped with first endpoint and second endpoint generates the
Three and Article 4 locus of tool edge helix the second sword rail track curved surface of composition, by first blade rail on first blade
Article 3 locus of tool edge helix on mark helix and second blade constitutes chisel edge track curved surface, according to first sword
Rail track curved surface, the second sword rail track curved surface and chisel edge track curved surface constitute locus of tool edge curved surface threedimensional model.
Preferably, the first locus of tool edge helix, the second locus of tool edge helix, the third locus of tool edge
Helix and the 4th locus of tool edge helix are divided into 7 sections of generations.
Preferably, the first locus of tool edge helix, the second locus of tool edge helix, the third locus of tool edge
The screw pitch and radius of helix and the 4th locus of tool edge helix are nonlinear change.
Preferably, the lathe tool does circular motion.
Preferably, described by carrying out operation to the hourglass worm base threedimensional model, subtract the locus of tool edge curved surface
Threedimensional model establishes hourglass worm flank profil threedimensional model, and adjusts the hourglass worm flank profil threedimensional model, completes hourglass worm
It further include the measurement of hourglass worm working orthogonal clearance after the building of threedimensional model, specifically:
According to the design parameter of hourglass worm, cylinder threedimensional model is established, to the hourglass worm threedimensional model and lathe tool
Operation is carried out, subtracts the cylinder threedimensional model, and then obtain the first blade flank and the second blade flank
With the angle of the flank of tooth of the hourglass worm, i.e. acquisition hourglass worm working orthogonal clearance.
Second embodiment of the invention provides a kind of hourglass worm Gear shape process modeling method device, comprising:
Hourglass worm base modeling unit, for according to hourglass worm design parameter, simulate the turning campaign of hourglass worm with
Hourglass worm base threedimensional model is established in the relative position of lathe tool and hourglass worm；
Hourglass worm turning modeling unit establishes lathe tool geometrical model for the geometric parameter according to lathe tool, and combines institute
It states hourglass worm base threedimensional model and the lathe tool geometrical model establishes hourglass worm turning threedimensional model；
Locus of tool edge curved surface three-dimensional modeling unit, for according to hourglass worm working process parameter, simulate the lathe tool with
Locus of tool edge curved surface threedimensional model is established in the turning campaign of hourglass worm, segmentation；
Hourglass worm flank profil three-dimensional modeling unit, for subtracting by carrying out operation to the hourglass worm base threedimensional model
The locus of tool edge curved surface threedimensional model is removed, the building of hourglass worm threedimensional model is completed.
Preferably, the hourglass worm flank profil threedimensional model unit, further includes seeking difference module, is used for the hourglass worm
Base threedimensional model successively subtracts multistage blade sword track curved surface physical model.
Third embodiment of the invention provides a kind of hourglass worm Gear shape process modelling apparatus, including processor, memory
And store in the memory and be configured the computer program executed by the processing, the processor executes the meter
As above any one hourglass worm Gear shape process modeling method is realized when calculation machine program.
Based on the invention discloses a kind of hourglass worm Gear shape process modeling method, device and equipment, according to hourglass worm,
Lathe tool design parameter and simulation turning campaign, establish hourglass worm base threedimensional model and lathe tool threedimensional model, according to lathe tool endpoint,
Segmentation constitutes multi-track spiral line, and then constitutes track curved surface threedimensional model, by carrying out operation to hourglass worm base, i.e., to cambered surface
Worm screw subtracts track curved surface threedimensional model, and then obtains hourglass worm flank profil threedimensional model, provides for numerical control processing high-precision
Model and coordinate parameters.
Detailed description of the invention
Fig. 1 is a kind of flow diagram of hourglass worm Gear shape process modeling method provided in an embodiment of the present invention；
Fig. 2 is hourglass worm processing threedimensional model schematic diagram provided in an embodiment of the present invention；
Fig. 3 is the main view of hourglass worm processing threedimensional model provided in an embodiment of the present invention；
Fig. 4 is the left view of hourglass worm processing threedimensional model provided in an embodiment of the present invention；
Fig. 5 is the top view of hourglass worm processing threedimensional model provided in an embodiment of the present invention；
Fig. 6 is hourglass worm turning locus of tool edge threedimensional model schematic diagram provided in an embodiment of the present invention；
Fig. 7 is hourglass worm flank profil threedimensional model schematic diagram provided in an embodiment of the present invention；
Fig. 8 is the section bottom view of hourglass worm flank profil threedimensional model provided in an embodiment of the present invention；
Fig. 9 is hourglass worm threedimensional model schematic diagram provided in an embodiment of the present invention.
Specific embodiment
To keep the purposes, technical schemes and advantages of embodiment of the present invention clearer, implement below in conjunction with the present invention
The technical solution in embodiment of the present invention is clearly and completely described in attached drawing in mode, it is clear that described reality
The mode of applying is some embodiments of the invention, rather than whole embodiments.Based on the embodiment in the present invention, ability
Domain those of ordinary skill every other embodiment obtained without creative efforts, belongs to the present invention
The range of protection.Therefore, the detailed description of the embodiments of the present invention provided in the accompanying drawings is not intended to limit below and is wanted
The scope of the present invention of protection is sought, but is merely representative of selected embodiment of the invention.Based on the embodiment in the present invention,
Every other embodiment obtained by those of ordinary skill in the art without making creative efforts belongs to this
Invent the range of protection.
It elaborates below in conjunction with attached drawing to specific embodiments of the present invention.
The invention discloses a kind of hourglass worm Gear shape process modeling method, device and equipment, according to hourglass worm, lathe tool
Design parameter and simulation turning campaign, establish hourglass worm threedimensional model, provide high-precision model and coordinate for numerical control processing
Parameter.
Referring to Fig. 1, first embodiment of the invention provides a kind of hourglass worm Gear shape process modeling method, comprising:
S101 simulates the turning campaign of hourglass worm and the phase of lathe tool and hourglass worm according to hourglass worm design parameter
To position, hourglass worm base threedimensional model is established；
S102 establishes lathe tool geometrical model according to the geometric parameter of lathe tool, and in conjunction with the hourglass worm base threedimensional model
And the lathe tool geometrical model establishes hourglass worm turning threedimensional model；
Fig. 2 to Fig. 5 is please referred to, Fig. 2 is the turning threedimensional model of hourglass worm, and x in figure, y, z are reference axis, and 1 is cambered surface
The blank of worm screw, 2 be the lathe tool processed to the blank of hourglass worm, and n1 is velocity of rotation (r/min), n when lathe tool is processed
Blank velocity of rotation (r/min) when to process.N1/n=z/z1.Z is the worm gear number of teeth (a), the z1 hourglass worm number of teeth (a), Fig. 3
For hourglass worm turning threedimensional model main view, in Fig. 3,1 is the blank of hourglass worm, and 2 carry out for the blank to hourglass worm
The lathe tool of processing, L are hourglass worm flank profil section length (mm).Rf2 is root circle of wormwheel radius (mm), and L1 is lathe tool center of rotation
Centre distance (mm) is rotated away from blank.Fig. 4 be hourglass worm turning threedimensional model left view, 1 be hourglass worm blank, 2
For the lathe tool that the blank to hourglass worm is processed, Fig. 5 is the top view of hourglass worm turning threedimensional model, and 1 is cambered surface snail
The blank of bar, 2 be the lathe tool processed to the blank of hourglass worm.
S103 simulates the turning campaign of the lathe tool and hourglass worm according to hourglass worm working process parameter, and segmentation is built
Vertical locus of tool edge curved surface threedimensional model；
Referring to Fig. 6, the lathe tool is equipped with the first knife 6, the second blade 4, first blade 6 is equipped with first endpoint
With second endpoint, segmentation generates the first locus of tool edge helix and the second locus of tool edge helix, sets on second blade 4
There are first endpoint and second endpoint, segmentation generates third locus of tool edge helix and the 4th locus of tool edge helix；
By first and Article 2 locus of tool edge of first endpoint and the generation of second endpoint on first blade 6
Helix constitutes the first sword rail track curved surface, and second blade 4 is generated equipped with first endpoint and second endpoint
Article 3 and Article 4 locus of tool edge helix constitute the second sword rail track curved surface, by first knife on first blade 6
Article 3 locus of tool edge helix on sword multi-track spiral line and second blade 4 constitutes chisel edge track curved surface, according to described
First sword rail track curved surface, the second sword rail track curved surface and chisel edge track curved surface constitute locus of tool edge curved surface threedimensional model 3.It needs
Illustrate, first endpoint of first blade 6 and first endpoint of second blade 4 constitute chisel edge 5.
S104 subtracts the locus of tool edge curved surface three-dimensional mould by carrying out operation to the hourglass worm base threedimensional model
Type as shown in fig. 7, establishing hourglass worm flank profil threedimensional model 7, and adjusts the hourglass worm flank profil threedimensional model 7, completes arc
The building 7 of surface-worm threedimensional model provides high-precision model and coordinate parameters when processing hourglass worm for lathe.
In the present embodiment, the first locus of tool edge helix, the second locus of tool edge helix, the third knife
Sword multi-track spiral line and the 4th locus of tool edge helix are divided into 7 sections of generations.It should be noted that according to the first blade and
It is what segmentation generated that endpoint on two blades, which generates multi-track spiral line, is preferably divided into 7 sections of generations here, is also possible to 6 sections, 8
Section etc., is not specifically limited, herein please continue to refer to Fig. 7, wherein each section of pitch P a is equal to corresponding when worm and gear engages
Projected length of the worm gear circular pitch on worm axis.
In the present embodiment, the first locus of tool edge helix, the second locus of tool edge helix, the third knife
The pitch P a and radius of sword multi-track spiral line and the 4th locus of tool edge helix are nonlinear change, need to illustrate
It is that each section spiral line radius is equal to corresponding blade endpoint to the distance of worm axis.
In the present embodiment, the lathe tool does circular motion.It should be noted that carrying out turning please continue to refer to Fig. 3
When processing, the lathe tool 1 will do it circular motion as shown in Figure 3.
In the present embodiment, described by carrying out operation to the hourglass worm base threedimensional model, subtract the blade rail
Mark curved surface threedimensional model establishes hourglass worm flank profil threedimensional model, and adjusts the hourglass worm flank profil threedimensional model, completes arc
It further include the measurement of hourglass worm working orthogonal clearance after the building of surface-worm threedimensional model, specifically:
Referring to Fig. 7, cylinder threedimensional model is established according to the design parameter of hourglass worm, it is three-dimensional to the hourglass worm
Model and lathe tool carry out operation, subtract the cylinder threedimensional model, and then obtain the first blade flank and described second
The angle of the flank of tooth of blade flank and the hourglass worm, i.e. acquisition hourglass worm working orthogonal clearance are as shown in Figure 8.Wherein, α
Oe1 is left working orthogonal clearance (°), and α oe2 is right working orthogonal clearance (°), and 10 be left back knife face, and 11 be right flank, and 12 be left flank profil
Face, 13 be right flank profil face.It should be noted that the axial direction of cylinder is y-coordinate direction, the radius of cylinder is preferably 34mm, root
It is also possible to other numerical value for corresponding to flank of tooth height according to actual conditions, such as 35,37, it does not do specifically defined, also needs here
Bright is that the height of the cylinder should be greater than hourglass worm base diameter.
Referring to Fig. 9, perfect, increase transmission segment 8 and supporting section 9 are carried out to hourglass worm flank profil threedimensional model, acquisition snail
Bar threedimensional model.
Second embodiment of the invention provides a kind of hourglass worm Gear shape process modeling method device, comprising:
Hourglass worm base modeling unit, for according to hourglass worm design parameter, simulate the turning campaign of hourglass worm with
Hourglass worm base threedimensional model is established in the relative position of lathe tool and hourglass worm；
Hourglass worm turning modeling unit establishes lathe tool geometrical model for the geometric parameter according to lathe tool, and combines institute
It states hourglass worm base threedimensional model and the lathe tool geometrical model establishes hourglass worm turning threedimensional model；
Locus of tool edge curved surface three-dimensional modeling unit, for according to hourglass worm working process parameter, simulate the lathe tool with
Locus of tool edge curved surface threedimensional model is established in the turning campaign of hourglass worm, segmentation；
Hourglass worm flank profil three-dimensional modeling unit, for subtracting by carrying out operation to the hourglass worm base threedimensional model
The locus of tool edge curved surface threedimensional model is removed, the building of hourglass worm threedimensional model is completed.
Preferably, the hourglass worm flank profil threedimensional model unit, further includes seeking difference module, is used for the hourglass worm
Base threedimensional model successively subtracts multistage blade sword track curved surface physical model.
Third embodiment of the invention provides a kind of hourglass worm Gear shape process modelling apparatus, including processor, memory
And store in the memory and be configured the computer program executed by the processing, the processor executes the meter
As above any one hourglass worm Gear shape process modeling method is realized when calculation machine program.
Based on the invention discloses a kind of hourglass worm Gear shape process modeling method, device and equipment, according to hourglass worm,
Lathe tool design parameter and simulation turning campaign, establish hourglass worm base threedimensional model and lathe tool threedimensional model, according to lathe tool endpoint,
Segmentation constitutes multi-track spiral line, and then constitutes track curved surface threedimensional model, by carrying out operation to hourglass worm base, i.e., to cambered surface
Worm screw subtracts track curved surface threedimensional model, and then obtains hourglass worm flank profil threedimensional model, provides for numerical control processing high-precision
Model and coordinate parameters.
The above is only the preferred embodiment of the present invention, protection scope of the present invention is not limited merely to above-described embodiment,
All technical solutions belonged under thinking of the present invention all belong to the scope of protection of the present invention.
Claims (9)
1. a kind of hourglass worm Gear shape process modeling method characterized by comprising
According to hourglass worm design parameter, the turning campaign of hourglass worm and the relative position of lathe tool and hourglass worm are simulated, is built
Vertical hourglass worm base threedimensional model；
According to the geometric parameter of lathe tool, lathe tool geometrical model is established, and in conjunction with the hourglass worm base threedimensional model and the vehicle
Knife geometrical model establishes hourglass worm turning threedimensional model；
According to hourglass worm working process parameter, the turning campaign of the lathe tool and hourglass worm is simulated, blade rail is established in segmentation
Mark curved surface threedimensional model；
By carrying out operation to the hourglass worm base threedimensional model, the locus of tool edge curved surface threedimensional model is subtracted, arc is established
Surface-worm flank profil threedimensional model, and the hourglass worm flank profil threedimensional model is adjusted, the building of hourglass worm threedimensional model is completed,
High-precision model and coordinate parameters are provided when processing hourglass worm for lathe.
2. a kind of hourglass worm Gear shape process modeling method according to claim 1, which is characterized in that described according to cambered surface
Worm screw working process parameter simulates the turning campaign of the lathe tool and hourglass worm, establishes locus of tool edge curved surface threedimensional model, tool
Body are as follows:
The lathe tool is equipped with the first blade, the second blade, and first blade is equipped with first endpoint and second endpoint, point
Duan Shengcheng the first locus of tool edge helix and the second locus of tool edge helix, second blade are equipped with first endpoint and the
Two endpoints, segmentation generate third locus of tool edge helix and the 4th locus of tool edge helix；
By first and Article 2 locus of tool edge spiral of first endpoint and the generation of second endpoint on first blade
Line constitutes the first sword rail track curved surface, and second blade is equipped with the Article 3 that first endpoint and second endpoint generate
And Article 4 locus of tool edge helix constitutes the second sword rail track curved surface, by first locus of tool edge spiral shell on first blade
Article 3 locus of tool edge helix in spin line and second blade constitutes chisel edge track curved surface, according to the first sword rail rail
Mark curved surface, the second sword rail track curved surface and chisel edge track curved surface constitute locus of tool edge curved surface threedimensional model.
3. a kind of hourglass worm turning flank of tooth virtual manufacture method according to claim 2, which is characterized in that described first
Locus of tool edge helix, the second locus of tool edge helix, the third locus of tool edge helix and the 4th blade rail
Mark helix is divided into 7 sections of generations.
4. a kind of hourglass worm Gear shape process modeling method according to claim 2, which is characterized in that first blade
Multi-track spiral line, the second locus of tool edge helix, the third locus of tool edge helix and the 4th locus of tool edge spiral shell
The screw pitch and radius of spin line are nonlinear change.
5. a kind of hourglass worm Gear shape process modeling method according to claim 1, which is characterized in that the lathe tool does circle
Arc movement.
6. a kind of hourglass worm Gear shape process modeling method according to claim 2, which is characterized in that described by institute
It states hourglass worm base threedimensional model and carries out operation, subtract the locus of tool edge curved surface threedimensional model, establish hourglass worm flank profil three
Dimension module, and the hourglass worm flank profil threedimensional model is adjusted, it further include arc after the building for completing hourglass worm threedimensional model
The measurement of surface-worm working orthogonal clearance, specifically:
According to the design parameter of hourglass worm, cylinder threedimensional model is established, the hourglass worm threedimensional model and lathe tool are carried out
Operation subtracts the cylinder threedimensional model, and then obtains the first blade flank and the second blade flank and institute
The angle of the flank of tooth of hourglass worm is stated, i.e. acquisition hourglass worm working orthogonal clearance.
7. a kind of hourglass worm Gear shape process modeling method device characterized by comprising
Hourglass worm base modeling unit, for simulating turning campaign and the lathe tool of hourglass worm according to hourglass worm design parameter
With the relative position of hourglass worm, hourglass worm base threedimensional model is established；
Hourglass worm turning modeling unit establishes lathe tool geometrical model for the geometric parameter according to lathe tool, and in conjunction with the arc
Surface-worm base threedimensional model and the lathe tool geometrical model establish hourglass worm turning threedimensional model；
Locus of tool edge curved surface three-dimensional modeling unit, for simulating the lathe tool and cambered surface according to hourglass worm working process parameter
Locus of tool edge curved surface threedimensional model is established in the turning campaign of worm screw, segmentation；
Hourglass worm flank profil three-dimensional modeling unit, for subtracting institute by carrying out operation to the hourglass worm base threedimensional model
Locus of tool edge curved surface threedimensional model is stated, the building of hourglass worm threedimensional model is completed.
8. a kind of hourglass worm Gear shape process model building device according to claim 7, which is characterized in that the hourglass worm
Flank profil threedimensional model unit, further includes seeking difference module, for the hourglass worm base threedimensional model successively to be subtracted multistage blade
Sword track curved surface physical model.
9. a kind of hourglass worm Gear shape process modelling apparatus, which is characterized in that including processor, memory and be stored in described
In memory and it is configured the computer program executed by the processing, the processor is realized when executing the computer program
Such as any one hourglass worm Gear shape process modeling method of claim 1 to 6.
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| CN201910348575.5A CN110110420B (en) | 2019-04-28 | 2019-04-28 | Modeling method, device and equipment for machining tooth surface of cambered surface worm |
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| CN201910348575.5A CN110110420B (en) | 2019-04-28 | 2019-04-28 | Modeling method, device and equipment for machining tooth surface of cambered surface worm |
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|---|---|---|---|---|
| CN112539731A (en) * | 2020-12-02 | 2021-03-23 | 惠州威博精密科技有限公司 | Intelligent watch shell 3D arc surface measurement method |
| CN112539731B (en) * | 2020-12-02 | 2022-03-22 | 惠州威博精密科技有限公司 | Intelligent watch shell 3D arc surface measurement method |
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