CN104932432B - A kind of known profile of forming cutter calculates the digital helicoid envelope method of helicoid - Google Patents
A kind of known profile of forming cutter calculates the digital helicoid envelope method of helicoid Download PDFInfo
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- CN104932432B CN104932432B CN201510269944.3A CN201510269944A CN104932432B CN 104932432 B CN104932432 B CN 104932432B CN 201510269944 A CN201510269944 A CN 201510269944A CN 104932432 B CN104932432 B CN 104932432B
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- helicoid
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- G—PHYSICS
- G05—CONTROLLING; REGULATING
- G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
- G05B19/00—Programme-control systems
- G05B19/02—Programme-control systems electric
- G05B19/18—Numerical control [NC], i.e. automatically operating machines, in particular machine tools, e.g. in a manufacturing environment, so as to execute positioning, movement or co-ordinated operations by means of programme data in numerical form
- G05B19/4097—Numerical control [NC], i.e. automatically operating machines, in particular machine tools, e.g. in a manufacturing environment, so as to execute positioning, movement or co-ordinated operations by means of programme data in numerical form characterised by using design data to control NC machines, e.g. CAD/CAM
- G05B19/4099—Surface or curve machining, making 3D objects, e.g. desktop manufacturing
Abstract
A kind of known profile of forming cutter calculates the digital helicoid envelope method of helicoid, is related to helicoid parts.Determine the structural parameters and workpiece blank parameter of cutter, establish the threedimensional model of cutter and workpiece blank, then by cutter and the threedimensional model importing digital helicoid simulation software of workpiece blank, carry out the preparation of machining simulation；Space coordinate conversion is carried out to cutter and workpiece blank, and provides installation parameter；The processing Path of cutter is determined according to processing technology；According to the processing Path of cutter, boolean's difference operation is carried out to workpiece using digital helicoid simulation software, machining simulation goes out workpiece helicoid model；Helicoid product after machining simulation is analyzed.It is a kind of new digitlization figure solution, it is only necessary to define a kind of tool profile and machining path, be not required to derive through the complicated mesh equation of tradition, you can solve accurate workpiece tooth form.
Description
Technical field
The present invention relates to helicoid parts, more particularly, to a kind of numeral of known profile of forming cutter calculating helicoid
Helicoid envelope method, the design available for the similar spaces such as helical gear, screw rotor, worm and gear conjugation product.
Background technology
Helicoid parts are widely used in engineering goods, most important to improving high-performance mechanical equipment.Such as：It is right
Development strategy new industry and drive high-tech industry, to transformation and lifting traditional manufacture, especially to defence and military industry
All play an important roll.The shaping of helicoid is a big difficult point, its type face compared with it is complicated, technical parameter is more, difficulty in computation is big, and add
Work technical requirements are high, ground so the research of the Forming Theory and its processing technology to helicoid is always the important of mechanized equipment industry
Study carefully problem.
Many scholars have been in-depth study, Wu Xutang (Wu Xu Principles of Gear Connection [M] in the design of helicoid
Second edition Xi'an:Publishing house of Xi'an Communications University, 2009) summarize two kinds of methods for calculating helicoid conjugate profiles：Parsing bag
Network method and flank profil method collimation method, give the detailed reckoning process of the cutter surface of revolution and workpiece helicoid contact conditions.Xing Ziwen (Xing
Ziwen helical-lobe compressors-theory, design and application [M] Beijing:China Machine Press, 2000) by several to screw rotor
The research of what characteristic, thermodynamic property, realizes the design to screw rotor molded line, has also derived between rotor and rotor, rotor
Contact conditions formula between emery wheel, has obtained rotor conjugate profiles, the computational methods of rotor machining cutter tooth shape.Spitas
(Spitas V,Costopoulos T,Spitas C.Fast modeling of conjugate gear tooth
profiles using discrete presentation by involute segments[J].Mechanism and
machine theory,2007,42(6):751-762) introduce a kind of side for gear teeth face being separated into several sections of involute sections
Method determines conjugate tooth profile, instead of with point-to-point analysis method come solve contact path, manufacturing gear strip geometry and
The problems such as grinding is calculated with forming tool.
What the mathematical equation that above-mentioned helicoid design method is all based on complexity was completed, its constraints mathematical modulo
Type describes and solves excessively complicated and computationally intensive.With the progress of modern science and technology, the numerical control especially using computer as core
The development of technology so that helicoid design, processing become more easy to be reliable with analysis.
The content of the invention
It is an object of the invention to provide the digital helicoid envelope method that a kind of known profile of forming cutter calculates helicoid.
The present invention comprises the following steps：
1) structural parameters and workpiece blank parameter of cutter are determined, establish the threedimensional model of cutter and workpiece blank, then
By cutter and the threedimensional model importing digital helicoid simulation software of workpiece blank, the preparation of machining simulation is carried out；
2) space coordinate conversion is carried out to cutter and workpiece blank, and provides installation parameter；
3) the processing Path of cutter is determined according to processing technology；
4) according to the processing Path of cutter, boolean's difference operation is carried out to workpiece using digital helicoid simulation software,
Machining simulation goes out workpiece helicoid model；
5) the helicoid product after machining simulation is analyzed.
In step 1), the structural parameters of the cutter include but not limited to the diameter of cutter, profile, width etc.；It is described
Workpiece blank parameter includes but not limited to the diameter of workpiece, number of teeth etc.；It is described to establish cutter and the threedimensional model of workpiece blank
By the threedimensional model that cutter and workpiece blank are established based on the graphics software that OpenGL is developed.
In step 2), the installation parameter includes but not limited to centre-to-centre spacing, eccentricity, established angle etc..
In step 3), the specific method of the processing Path that cutter is determined according to processing technology can be：First
According to the technique of the structure determination workpiece processing tool blank of workpiece, in conjunction with the structural parameters of cutter and both workpiece blanks,
Spatial pose relation calculates the processing Path of cutter.
In step 5), the analysis can be by being cut and being obtained spiral to each section of the spiral surface model of workpiece
The profile data in face, finally carry out point set fitting, so as to form workpiece profile using least square method.
The present invention initially sets up the physical model and its and workpiece blank of cutter after the profile parameter of forming tool is read
The movement relation of entity, carries out boolean's difference operation, finally using cutter entity secondly by simulation software to workpiece blank entity
Helicoid product after machining simulation (boolean's difference operation) is analyzed, the section point set of product after being processed by gathering simulation
To realize the Design of digital of workpiece product molded line.
The present invention is proposed digital helicoid envelope method, is designed phase therewith based on computer geometric figure rendering technique
Matched numeral helicoid simulation software, breaks traditional approach, starts the new method of helicoid design.Can be by above technological achievement
Modern design and manufacture and its automation applied to helix parts such as helical gear, screw rotor, worm and gears.
The outstanding advantages of the present invention are as follows：
The present invention proposes digital helicoid envelope method, is a kind of new digitlization figure solution, can be used for substituting biography
The theoretical calculating for carrying out component shaping simulating cutting of the analytical Calculation of system.It (can be cylindrical type that the present invention, which only needs to define a kind of cutter,
Gear or formed grinding wheel etc.) profile and machining path, it is not required to derive through the complicated mesh equation of tradition, you can solve accurate
Workpiece tooth form.Actually it is proved the numerical approximation solution that the present invention can be used to accurately solve helicoid envelope point.
Brief description of the drawings
Coordinate systems of the Fig. 1 between rotor and formed grinding wheel.
Fig. 2 is space envelope (side) of the emery wheel to rotor.
Fig. 3 is space envelope (front) of the emery wheel to rotor.
Fig. 4 is boolean's difference operation machining simulation.
Fig. 5 is screw rotor end face molded line.
Embodiment
The present invention is by taking forming grinding wheel processes positive screw rotor as an example, comprehensive point of progress space numeral helicoid envelope method
Analysis.Comprise the following steps that：
1st, it is r to give forming grinding wheel form equationg0=[Rg,Zg], then formed grinding wheel surface of revolution equation is：
rg=[Rg cosφ,Rg sinφ,Zg] (1)
In formula, φ is formed grinding wheel angle of revolution.The diameter d and number of teeth m of positive screw rotor are provided at the same time.According to these ginsengs
Number, goes out forming grinding wheel and positive screw rotor blank threedimensional model using based on the Software on Drawing that OpenGL is developed, and imported into number
Word helicoid simulation software.The digital helicoid simulation software that the present invention designs mainly includes boolean's difference operation and interception end face is wide
The interception of graphic data function, wherein end face profile is realized using computer graphic method, according to Bresenham algorithm principles, is led to
The displaying principle and realistic image synthesis technology of graphic alphanumeric display are crossed, the figure of end face profile is drawn using pixel point function
Member.
2nd, such as Fig. 1 shows, establishes SrTo be fixed on the coordinate system on rotor, zrAxis is overlapped with rotor axis, SgTo be fixed on into
Coordinate system on shape emery wheel, zgAxis is overlapped with formed grinding wheel axis, and beeline is between rotor axis and formed grinding wheel axis
A, established angle Σ.
According to space geometry relation, from SgTo SrTransformation matrix be M2：
Then by formed grinding wheel surface of revolution equation from coordinate system SgTransform to coordinate system SrIn：
3rd, the revolution bread formed from the conjugate movement relation of screw rotor and forming tool, the formed grinding wheel surface of revolution
The process of network face cluster, be the formed grinding wheel surface of revolution in spiral surface of screw rotor coordinate system, with certain spatial attitude, around screw rod
Rotor rotating shaft, i.e. ZrThe process that axis moves in a circle.If β is around ZrThe angle that axis turns over, p be helix parameter, then the surface of revolution
Envelope movement track M1For：
4th, after the spatial pose and machining locus of forming grinding wheel and screw rotor blank is adjusted, you can carry out space
Envelope movement (such as Fig. 2 and Fig. 3), is carried out at the same time boolean's difference operation (such as Fig. 4), obtains helical surface of rotor.
5th, finally the end face of spiral surface of screw rotor model is cut and obtains rotor end-face molded line (such as Fig. 5).
The curved dies that digital helicoid envelope method contrast Enveloping theory is derived, can avoid conventional method because singular point,
Cross cut or the situation of double-contracting winding thread caused by emery wheel processing helicoid when produce severe crash and damage, and the spiral bread of numeral
The reliability of rotator model after machining simulation obtained by network method is high, can be wanted completely with the precision of the helicoid of meet demand in theory
Ask.
In addition, digital helicoid envelope method can confirm the correctness of rotor structure and Gear shape process, profit before formal production
With the cutter being pre-designed through digital helicoid simulation software is on rotor blank model and emery wheel track carries out boolean's difference set
Calculate, obtain final processing helicoid terminal molded line.By secondary method, the helicoid after cutting can also be analyzed, with
Learn it is suffered during helicoid contact meet and the situation that meets with stresses, provide theoretical foundation to process the rotor of higher precision,
Therefore, the powerful that digital helicoid envelope method can be calculated as cylindrical type formation teeth-grinding operating simulation.
Claims (1)
1. a kind of known profile of forming cutter calculates the digital helicoid envelope method of helicoid, it is characterised in that including following step
Suddenly：
1) structural parameters and workpiece blank parameter of cutter are determined, the threedimensional model of cutter and workpiece blank are established, then by knife
The threedimensional model importing digital helicoid simulation software of tool and workpiece blank, carries out the preparation of machining simulation；The knot of the cutter
Structure parameter includes but not limited to the diameter, profile, width of cutter；The workpiece blank parameter includes but not limited to the straight of workpiece
Footpath, the number of teeth；
It is described establish cutter and workpiece blank threedimensional model be by based on the graphics software that OpenGL is developed establish cutter and
The threedimensional model of workpiece blank；
2) space coordinate conversion is carried out to cutter and workpiece blank, and provides installation parameter；The installation parameter includes but unlimited
In centre-to-centre spacing, eccentricity, established angle；
3) the processing Path of cutter is determined according to processing technology, specific method is：First according to the structure determination knife of workpiece
Have the technique of workpieces processing blank, knife is calculated in conjunction with the structural parameters of cutter and both workpiece blanks, spatial pose relation
The processing Path of tool；
4) according to the processing Path of cutter, boolean's difference operation, emulation are carried out to workpiece using digital helicoid simulation software
Process the spiral surface model of workpiece；
5) the helicoid product after machining simulation is analyzed；
The analysis is by being cut to each section of the spiral surface model of workpiece and obtaining the profile data of helicoid, most
Point set fitting is carried out using least square method afterwards, so as to form workpiece profile.
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN110716494A (en) * | 2019-11-13 | 2020-01-21 | 中国航发动力股份有限公司 | Tool parameter identification method and cycloid machining parameter optimization method based on tool parameters |
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| CN107784172B (en) * | 2017-10-26 | 2021-04-06 | 南京工程学院 | Method for manufacturing corrugated heat exchange tube |
| CN107965550A (en) * | 2017-11-29 | 2018-04-27 | 海安县申菱电器制造有限公司 | A kind of arcwall face contacts Worm Wheel System power set |
| CN108907900B (en) * | 2018-06-21 | 2019-08-20 | 厦门大学 | A kind of solid end mill grooving method based on digital figure scanning |
| CN109189001B (en) * | 2018-11-16 | 2020-07-03 | 厦门大学 | Method for scanning, acquiring and calibrating sectional images of end of vertical milling cutter for tractor gearbox |
| CN109583128A (en) * | 2018-12-14 | 2019-04-05 | 贵州西南工具(集团)有限公司 | A kind of slotting cutter helicla flute accurate three-dimensional modeling method |
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| CN102819237A (en) * | 2012-07-20 | 2012-12-12 | 北京卫星制造厂 | Method for generating simulation target blank in solid milling simulation process |
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| CN110716494A (en) * | 2019-11-13 | 2020-01-21 | 中国航发动力股份有限公司 | Tool parameter identification method and cycloid machining parameter optimization method based on tool parameters |
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Effective date of registration: 20160523 Address after: Xiamen City, Fujian Province, 361005 South Siming Road No. 422 Applicant after: Xiamen University Applicant after: Shaanxi Han Ji precision optical machinery limited company Address before: Xiamen City, Fujian Province, 361005 South Siming Road No. 422 Applicant before: Xiamen University |
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