CN104932432A - Digital helicoid enveloping method for known forming cutter profile calculation helicoid - Google Patents

Digital helicoid enveloping method for known forming cutter profile calculation helicoid Download PDF

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Publication number
CN104932432A
CN104932432A CN201510269944.3A CN201510269944A CN104932432A CN 104932432 A CN104932432 A CN 104932432A CN 201510269944 A CN201510269944 A CN 201510269944A CN 104932432 A CN104932432 A CN 104932432A
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helicoid
cutter
workpiece
digital
profile
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CN104932432B (en
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姚斌
卢杰
滕伟斌
周斌
姚博世
邓顺贤
赵仲琪
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Shaanxi Han Ji precision optical machinery limited company
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Xiamen University
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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

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  • Engineering & Computer Science (AREA)
  • Manufacturing & Machinery (AREA)
  • Human Computer Interaction (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Automation & Control Theory (AREA)
  • Numerical Control (AREA)
  • Gear Processing (AREA)

Abstract

A digital helicoid enveloping method for a known forming cutter profile calculation helicoid relates to the field of helicoidal parts. The method comprises the following steps: determining the structure parameters of a cutter and the parameters of a workpiece blank, establishing a three-dimensional model of the cutter and the workpiece blank, importing the three-dimensional model of the cutter and the workpiece blank to a piece of digital helicoid simulation software, and preparing for simulation processing; carrying out space coordinate transformation on the cutter and the workpiece blank, and giving installation parameters; determining the processing cutter path of the cutter according to the processing technology; using the digital helicoid simulation software to perform Boolean difference operation on the workpiece according to the processing cutter path of the cutter, and obtaining a workpiece helicoid model through simulation processing; and analyzing the helicoid product after simulation processing. The digital helicoid enveloping method of the invention is a novel digital graphic solution. By adopting the method, the accurate tooth profile of a workpiece can be solved only by defining a cutter profile and a processing path, without the need for traditional complex meshing equation derivation.

Description

A kind of known profile of forming cutter calculates the digital helicoid envelope method of helicoid
Technical field
The present invention relates to helicoid parts, especially relate to the digital helicoid envelope method that a kind of known profile of forming cutter calculates helicoid, can be used for the design of the similar spaces conjugation products such as cross helical gear, screw rotor, worm and gear.
Background technology
Helicoid parts are widely used in engineering goods, most important to raising high-performance mechanical equipment.Such as: to development strategy new industry and drive hi-tech industry, to transformation and lifting traditional manufacture, especially all there is vital role to defence and military industry.The shaping of helicoid is a large difficult point, its profile compared with complicated, technical parameter is many, difficulty in computation is large, and process technology requires high, so be the important subject of mechanized equipment industry to the Forming Theory of helicoid and the research of process technology thereof always.
Many scholars have done deep research in the design of helicoid, Wu Xutang (Wu Xutang. Principles of Gear Connection [M]. the 2nd edition. Xi'an: publishing house of Xi'an Communications University, 2009) method that two kinds calculate helicoid conjugate profiles is summarized: resolve envelope 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. screw compressor-theory, design and application [M]. Beijing: China Machine Press, 2000) by the research to screw rotor geometrical property, thermodynamic property, achieve the design to screw rotor molded line, also to derive the contact conditions formula between rotor and rotor, between rotor and emery wheel, obtained the computing method of rotor conjugate profiles, rotor machining cutter tooth shape.Spitas (Spitas V, Costopoulos T, Spitas C.Fast modeling of conjugate gear tooth profilesusing discrete presentation by involute segments [J] .Mechanism and machine theory, 2007,42 (6): 751-762) introduce a kind of method gear teeth face being separated into several sections of involute urve sections to determine conjugate tooth profile, instead of and solve the problems such as contact path, the geometric configuration of manufacturing gear strip and the calculating of grinding forming tool by point-to-point analytical approach.
Above-mentioned helicoid method for designing is all complete based on the mathematical equation of complexity, and its constraint condition mathematical model describes and solve too complicated, and calculated amount is large.Along with the progress of modern science and technology, be especially the development of the Numeric Control Technology of core with computing machine, make helicoid design, processing and analysis become more easy to be reliable.
Summary of the invention
A kind of known profile of forming cutter is the object of the present invention is to provide to calculate the digital helicoid envelope method of helicoid.
The present invention includes following steps:
1) determine structural parameters and the workpiece blank parameter of cutter, set up the three-dimensional model of cutter and workpiece blank, subsequently by the three-dimensional model importing digital helicoid simulation software of cutter and workpiece blank, carry out the preparation of machining simulation;
2) space coordinate conversion is carried out to cutter and workpiece blank, and provide installation parameter;
3) according to the processing Path of processing technology determination cutter;
4) according to the processing Path of cutter, utilize digital helicoid simulation software to carry out boolean's difference operation to workpiece, machining simulation goes out workpiece helicoid model;
5) the helicoid product after machining simulation is analyzed.
In step 1) in, the structural parameters of described cutter include but not limited to the diameter of cutter, profile, width etc.; Described workpiece blank parameter includes but not limited to the diameter, the number of teeth etc. of workpiece; The three-dimensional model of cutter and workpiece blank set up by the described three-dimensional model setting up cutter and workpiece blank by the graphics software developed based on OpenGL.
In step 2) in, described installation parameter includes but not limited to centre distance, eccentric throw, established angle etc.
In step 3) in, the concrete grammar of the described processing Path according to processing technology determination cutter can be: first according to the technique of the structure determination workpiece processing tool blank of workpiece, then calculates the processing Path of cutter in conjunction with the structural parameters of both cutter and workpiece blank, spatial pose relation.
In step 5) in, described analysis, by cutting each cross section of workpiece helicoid model and obtaining the profile data of helicoid, finally utilizes least square method to carry out point set matching, thus forms workpiece profile.
The present invention is after the profile parameter reading forming tool, first the solid model of cutter and the kinematic relation with workpiece blank entity thereof is set up, secondly cutter entity is utilized to carry out boolean's difference operation to workpiece blank entity by simulation software, finally the helicoid product after machining simulation (boolean's difference operation) is analyzed, realize the Design of digital of workpiece product molded line by the cross section point set of product after gathering simulation processing.
The present invention, based on computing machine geometric figure rendering technique, proposes digital helicoid envelope method, and design the digital helicoid simulation software matched with it, break traditions mode, starts the new method of helicoid design.Above technological achievement can be applied to modern design and manufacture and the robotization thereof of the helix parts such as cross helical gear, screw rotor, worm and gear.
Outstanding advantages of the present invention is as follows:
The present invention proposes digital helicoid envelope method, is a kind of novel digitizing figure solution, can be used for alternative traditional analytical Calculation theory to carry out the calculating of component shaping simulating cutting.The present invention only needs to define a kind of cutter (can be column type gear or formed grinding wheel etc.) profile and machining path, need not derive, can solve accurate workpiece profile of tooth through the mesh equation that tradition is complicated.Reality has proved that the present invention can in order to the numerical approximation solution of Exact Solution helicoid envelope point.
Accompanying drawing explanation
Fig. 1 is the coordinate system between rotor and formed grinding wheel.
Fig. 2 is the space envelope (side) of emery wheel to rotor.
Fig. 3 is the space envelope (front) of 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 processes positive screw rotor for forming grinding wheel, carries out the multianalysis of space numeral helicoid envelope method.Concrete steps are as follows:
1, given forming grinding wheel form equation is r g0=[R g, Z g], then formed grinding wheel surface of revolution equation is:
r g＝[R gcosφ,R gsinφ,Z g] (1)
In formula, φ is formed grinding wheel angle of revolution.Provide diameter d and the number of teeth m of positive screw rotor simultaneously.According to these parameters, utilize the Software on Drawing based on OpenGL exploitation to go out forming grinding wheel and positive screw rotor blank three-dimensional model, and import to digital helicoid simulation software.The digital helicoid simulation software of the present invention's design mainly comprises boolean's difference operation and intercepts end face profile data function, wherein end face profile intercepts and utilizes computer graphic method to realize, according to Bresenham algorithm principle, by displaying principle and the realistic image synthesis technology of graphic alphanumeric display, pixel function is used to draw the pel of end face profile.
2, as Fig. 1 shows, S is set up rfor being fixed on epitrochanterian coordinate system, z raxle overlaps with rotor axis, S gfor being fixed on the coordinate system on formed grinding wheel, z gaxle and formed grinding wheel dead in line, between rotor axis and formed grinding wheel axis, bee-line is a, and established angle is Σ.
According to space geometry relation, from S gto S rtransformation matrix be M 2:
M 2 = 1 0 0 a 0 cos Σ sin Σ 0 0 - sin Σ cos Σ 0 0 0 0 0 - - - ( 2 )
Then by formed grinding wheel surface of revolution equation from coordinate system S gtransform to coordinate system S rin:
r gr T = [ x gr , y gr , z gr ] T = M 2 r g T - - - ( 3 )
3, from the conjugate movement relation of screw rotor and forming tool, the process of the surface of revolution enveloping surface bunch that the formed grinding wheel surface of revolution is formed, be the formed grinding wheel surface of revolution in spiral surface of screw rotor coordinate system, with certain spatial attitude, around screw rotor revolving shaft, i.e. Z rthe process that axle moves in a circle.If β is around Z rthe angle that axle turns over, p is helix parameter, then the envelope movement track M of the surface of revolution 1for:
M 1 = cos β - sin β 0 0 sin β cos β 0 0 0 0 1 pβ 0 0 0 0 - - - ( 4 )
4, after the spatial pose adjusting forming grinding wheel and screw rotor blank and machining locus, space envelope motion (as Fig. 2 and Fig. 3) can be carried out, carry out boolean's difference operation (as Fig. 4) simultaneously, obtain helical surface of rotor.
5, finally the end face of spiral surface of screw rotor model cut and obtain rotor end-face molded line (as Fig. 5).
The curved dies that numeral helicoid envelope method contrast Enveloping theory is derived, can avoid classic method because of singular point, cross cut or emery wheel processing helicoid that the situation of double-contracting winding thread causes time produce severe crash and damage, and the reliability of rotator model after digital helicoid envelope method gained machining simulation is high, the accuracy requirement of the helicoid that can satisfy the demands completely in theory.
In addition, numeral helicoid envelope method can confirm the correctness of rotor structure and Gear shape process before formal production, utilize the cutter designed in advance on rotor blank model, to carry out boolean difference set calculating with emery wheel track through digital helicoid simulation software, obtain final processing helicoid terminal molded line.By secondary method, also can the helicoid after cutting be analyzed, suffered meeting and the situation that meets with stresses during to learn that helicoid contacts, for the more high-precision rotor of processing provides theoretical foundation, therefore, digital helicoid envelope method can be used as the powerful that column type formation teeth-grinding operating simulation calculates.

Claims (7)

1. known profile of forming cutter calculates a digital helicoid envelope method for helicoid, it is characterized in that comprising the following steps:
1) determine structural parameters and the workpiece blank parameter of cutter, set up the three-dimensional model of cutter and workpiece blank, subsequently by the three-dimensional model importing digital helicoid simulation software of cutter and workpiece blank, carry out the preparation of machining simulation;
2) space coordinate conversion is carried out to cutter and workpiece blank, and provide installation parameter;
3) according to the processing Path of processing technology determination cutter;
4) according to the processing Path of cutter, utilize digital helicoid simulation software to carry out boolean's difference operation to workpiece, machining simulation goes out workpiece helicoid model;
5) the helicoid product after machining simulation is analyzed.
2. a kind of known profile of forming cutter calculates the digital helicoid envelope method of helicoid as claimed in claim 1, it is characterized in that in step 1) in, the structural parameters of described cutter include but not limited to the diameter of cutter, profile, width.
3. a kind of known profile of forming cutter calculates the digital helicoid envelope method of helicoid as claimed in claim 1, it is characterized in that in step 1) in, described workpiece blank parameter includes but not limited to diameter, the number of teeth of workpiece.
4. a kind of known profile of forming cutter calculates the digital helicoid envelope method of helicoid as claimed in claim 1, it is characterized in that in step 1) in, the described three-dimensional model setting up cutter and workpiece blank is the three-dimensional model that graphics software by developing based on OpenGL sets up cutter and workpiece blank.
5. a kind of known profile of forming cutter calculates the digital helicoid envelope method of helicoid as claimed in claim 1, it is characterized in that in step 2) in, described installation parameter includes but not limited to centre distance, eccentric throw, established angle.
6. a kind of known profile of forming cutter calculates the digital helicoid envelope method of helicoid as claimed in claim 1, it is characterized in that in step 3) in, the concrete grammar of the described processing Path according to processing technology determination cutter is: first according to the technique of the structure determination workpiece processing tool blank of workpiece, then calculates the processing Path of cutter in conjunction with the structural parameters of both cutter and workpiece blank, spatial pose relation.
7. a kind of known profile of forming cutter calculates the digital helicoid envelope method of helicoid as claimed in claim 1, it is characterized in that in step 5) in, described analysis is by cutting each cross section of workpiece helicoid model and obtaining the profile data of helicoid, finally utilize least square method to carry out point set matching, thus form workpiece profile.
CN201510269944.3A 2015-05-25 2015-05-25 A kind of known profile of forming cutter calculates the digital helicoid envelope method of helicoid Expired - Fee Related CN104932432B (en)

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Cited By (7)

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Publication number Priority date Publication date Assignee Title
CN107784172A (en) * 2017-10-26 2018-03-09 南京工程学院 Corrugated heat-exchange pipe manufacturing method
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
CN108907900A (en) * 2018-06-21 2018-11-30 厦门大学 A kind of solid end mill grooving method based on digital figure scanning
CN109189001A (en) * 2018-11-16 2019-01-11 厦门大学 The method that gear box of tractor is obtained and demarcated with the section shape image scanning of slotting cutter end
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
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
CN111687685A (en) * 2019-03-14 2020-09-22 中国原子能科学研究院 Variable-depth chamfering processing method for magnetic pole side edge of spiral fan

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Cited By (9)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN107784172A (en) * 2017-10-26 2018-03-09 南京工程学院 Corrugated heat-exchange pipe manufacturing method
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
CN108907900A (en) * 2018-06-21 2018-11-30 厦门大学 A kind of solid end mill grooving method based on digital figure scanning
CN109189001A (en) * 2018-11-16 2019-01-11 厦门大学 The method that gear box of tractor is obtained and demarcated with the section shape image scanning of slotting cutter end
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
CN111687685A (en) * 2019-03-14 2020-09-22 中国原子能科学研究院 Variable-depth chamfering processing method for magnetic pole side edge of spiral fan
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
CN110716494B (en) * 2019-11-13 2020-11-17 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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