CN106528922A - Inverse modeling method for male and female rotors - Google Patents
Inverse modeling method for male and female rotors Download PDFInfo
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- CN106528922A CN106528922A CN201610857437.6A CN201610857437A CN106528922A CN 106528922 A CN106528922 A CN 106528922A CN 201610857437 A CN201610857437 A CN 201610857437A CN 106528922 A CN106528922 A CN 106528922A
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/30—Circuit design
- G06F30/36—Circuit design at the analogue level
- G06F30/367—Design verification, e.g. using simulation, simulation program with integrated circuit emphasis [SPICE], direct methods or relaxation methods
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/17—Mechanical parametric or variational design
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Abstract
The invention discloses an inverse modeling method for male and female rotors. The method comprises the steps of pre-measurement, measurement, parameter construction, creation of a three-dimensional data model of the male and female rotors and inverse measurement and verification. The method is small in theoretical error.
Description
Technical field
A kind of a kind of the present invention relates to reverse modeling method, in particular it relates to reverse modeling method of negative and positive rotor.
Background technology
In geometric sense Technology of Precision Measurement field, there is a universal more difficult measurement, i.e. complex curved surface parts ginseng
Several accurate mappings and its reverse accurate digital-to-analogue are created.
It is illustrated in figure 1 negative and positive rotor schematic diagram.Negative and positive rotor is commonly applied to the course of work of compressor cylinder, convex rotor
Also known as male rotor, also known as female rotor, two rotors are worked in the way of reversely rotating mutually female rotor.
Specifically, four header structures are male rotor, and six header structures are female rotor.The negative and positive rotor is certain accurate mechanical equipment
Vital part, by this to rotor motion liquid with precise control pressure.Negative and positive rotor belongs to import part, and all Surface Parameters are
It is unknown, because Process of Localization needs accurate its Surface Parameters of mapping and inversely creates accurate digital-to-analogue, in order to processing and manufacturing.
Currently, for such unknown parameter parts' parameters with complex-curved shape, typically swept using non-contact laser
Retouch e measurement technology and obtain its relevant parameter, then realize that reverse digital-to-analogue is created by the process of special three-dimensional drawing software data.It is non-
Contact laser scanning measurement technology is for most of complex-curved Shape Parts measurements or surveys and draws with speed is fast, measurement process is straight
The features such as seeing, operate relatively simple, but its reverse three-dimensional data model parameter accuracy for creating is difficult checking；While laser
Scanning survey precision is relatively low, is generally up to only capable of reaching 0.05mm.Therefore, for required precision is high, (tolerance is strict in
Part 0.05mm), then should not realize the measurement or mapping of its parameter using non-contact laser scanning techniques.
It is the vital part of accurate mechanical equipment to negative and positive rotor, high precision (tolerance is strict in 0.05mm), which is stable
Operation affects notable for capability of engineering equipment, therefore non-contact laser scanning techniques cannot meet the parts measurement precision
Require.
The content of the invention
The invention provides a kind of reverse modeling method of negative and positive rotor, including step：
Premeasuring step, makes negative and positive rotor be aligned with three-coordinates measuring machine, and makes the basic seat of three-coordinates measuring machine foundation
Mark system Z axis and negative and positive rotor center dead in line；Measuring process, using three-coordinates measuring machine, on female rotor, scanning survey the moon turns
1/6 section of curve of sub- radial section closed curve, using three-coordinates measuring machine, on male rotor, scanning survey male rotor radially cuts
1/4 curve of face closure curve；Parametric configuration step, extrapolates modeling ginseng based on the data fitting measured in the measuring process
Number lead angleNegative and positive rotor three-dimensional data model step is created, by the female rotor radial section closed curve of scanning survey
The data and its method of 1/4 section of curve of the data of 1/6 section of curve and its normal vector and male rotor radial section closed curve
Three-dimensional drawing software is imported to vector, negative and positive rotor three-dimensional data model is created afterwards.Reverse measuremenet verification step, by what is created
Negative and positive rotor three-dimensional data model imports three-coordinates measuring machine and carries out reverse measuremenet checking, if data verification is set up, inversely builds
Mould success, if data verification is false, repeatedly above step is until checking is set up.
Further, the premeasuring step includes negative and positive rotor is placed on the workbench of three-coordinates measuring machine, and makes
The direction of a teeth groove for obtaining negative and positive rotor is parallel with the X-axis of three coordinate measuring machine or Y-axis, and fundamental coordinate system is set up in the moon
On the central axis of male rotor.
Further, the measuring process includes first presetting teeth groove initial sweep point to be measured and end using three-coordinates measuring machine
Stop, Scanning step and scanning speed, afterwards gauge head be fed to tooth to be measured along fundamental coordinate system X-axis or Y-axis in automatic mode
The default initial sweep point of groove, after gauge head contact upper initial sweep point, then starts automatically scanning collection 3D curve datas, scanning
Terminate to terminating point, and obtain 1/6 section of curve and male rotor radial section closed curve of female rotor radial section closed curve
1/4 section of curve.
Further, the parametric configuration step includes making 1/6 section of curve and sun of female rotor radial section closed curve
1/4 section of curve of rotor radial enclosed cross curve along its center axis axial-rotation α radians, when female rotor radial section is closed
Do not rotate at the top of 1/6 section of curve and female rotor of curve when radial section curved segments are in the same flank of tooth and work as male rotor radially
Do not rotate at the top of 1/4 section of curve of enclosed cross curve and male rotor radial section curved segments in the same flank of tooth when, foundation
Axial distance L between rotation angle α and radial section curved section, extrapolates modeling parameters lead angle by data fittingIts
In
Further, the establishment negative and positive rotor three-dimensional data model step includes going out by the method construct of rotation array
Female rotor radial section closed curve and male rotor radial section closed curve, and by filter gross error data, shear it is many
Remaining part point smoothing processing, while be input into the parameter lead angle of fittingA cloud reconstruct and characteristic reconstruct is carried out, it is sutured
Occluding surface hypostazation is formed, negative and positive rotor three-dimensional data model is created.
Further, the arbitrary radial section 3D curved measurement programs of negative and positive rotor are developed, and with negative and positive rotor radial section
Curve data is standard nominal value；Operation program, three-coordinates measuring machine gauge head is in female rotor part corresponding upper, middle and lower three portion
Bit scan measures 1/6 curved section of radial section and radially cuts in the position scanning survey of the corresponding upper, middle and lower of male rotor part three
1/4 curved section of face, by by three 1/6 curved sections of female rotor radial section and three 1/4 curved sections of male rotor radial section
Numerical value is contrasted with curve standard nominal value data, evaluates three 1/6 curved sections of female rotor radial section and three male rotors
Line profile error σ of 1/4 curved section of radial section1、σ2And σ3If, σ1＜ 0.05mm, σ2＜ 0.05mm, σ3＜ 0.05mm are then cloudy
Male rotor is modeled successfully, conversely, then sequentially repeating premeasuring step, measuring process, parametric configuration step, establishment negative and positive rotor three
D Data Model step, reverse measuremenet verification step, until 1/6 curved section of female rotor radial section and male rotor radial section 1/
Till 4 curved sections meet line profile error.
Further, radial section closed curve of the negative and positive rotor in arbitrary level locations is intercepted out, female rotor is chosen along X
1/6 curved section of teeth groove radial section and male rotor of axle or Y-axis is created along 1/4 curved section of teeth groove radial section of X-axis or Y-axis and is treated
3D curves are surveyed, and data filtering, number of scan points and scanning speed are set in curvilinear characteristic parameter, so as to develop negative and positive rotor
Arbitrary radial section 3D curved measurement programs.
Beneficial effects of the present invention are：
1st, only need to measure two typical curve sections near negative and positive rotor top and bottom, scanning amount of surveying and mapping work is little；
2nd, key parameter is modeled using data the Fitting Calculation, modeling efficiency is high；
3rd, reverse measuremenet checking obtains accurate three-dimensional data model with Surface Parameters approximate error limit, and theoretical error is little.
Other features and advantages of the present invention will be illustrated in the following description, also, partly be become from description
Obtain it is clear that or being understood by implementing the present invention.
Description of the drawings
Accompanying drawing is used for providing a further understanding of the present invention, and constitutes a part for description, the reality with the present invention
Applying example is used for explaining the present invention together, is not construed as limiting the invention.In the accompanying drawings：
Fig. 1 shows the schematic diagram of negative and positive rotor；
Fig. 2 shows the schematic diagram of negative and positive rotor plot section；
Fig. 3 shows the schematic diagram that male rotor is reversely verified；
Fig. 4 shows the schematic diagram that female rotor is reversely verified；
Fig. 5 shows negative and positive rotor reverse modeling flow chart；
With reference to accompanying drawing, in the embodiment of the present invention, reference is as follows：
1st, male rotor；2nd, female rotor；3rd, fundamental coordinate system；4th, normal vector.
Specific embodiment
The preferred embodiments of the present invention are illustrated below in conjunction with accompanying drawing, it will be appreciated that preferred reality described herein
Apply example and be merely to illustrate and explain the present invention, be not intended to limit the present invention.
The embodiment provides a kind of reverse modeling method of negative and positive rotor, as shown in figure 5, the method mainly by
Following steps are constituted, respectively premeasuring step, measuring process, parametric configuration step, establishment negative and positive rotor three-dimensional data model
Step, reverse measuremenet verification step.
Premeasuring step is mainly：As shown in figure 1, female rotor 2 and male rotor 1 to be respectively placed in the work of three coordinate measuring machine
Make on platform so as to which the direction of a teeth groove is parallel with three coordinate measuring machine X-axis (or Y-axis), in order to three coordinate measuring machine gauge head
Teeth groove can be probeed into measure.Measurement negative and positive rotor axis and top planes data, fundamental coordinate system 3 are set up and are turned in negative and positive
On sub- axis, the Z axis of fundamental coordinate system 3 are overlapped with negative and positive rotor axis, and Z-direction zero point is located in top planes, X-axis and Y-axis with
Coordinate system of machine is parallel.
Measuring process is mainly：The arbitrary radial section curve of negative and positive rotor entity component is in closing rotational symmetry structure, because
This can be near negative and positive rotor top and bottom radial section closed curve path, first preset using three coordinate measuring machine to be measured
Teeth groove initial sweep point and terminating point, Scanning step and scanning speed, then gauge head is in automatic mode along fundamental coordinate system 3
X axis (or Y-axis) is fed to the default initial sweep point of teeth groove to be measured, after gauge head contact upper initial sweep point, then starts
Automatically scanning gathers 3D curve datas, scans to terminating point and terminates.Measurement process answers one section of typical curve section of each scanning survey, i.e.,
Female rotor takes 1/6 section of curve of radial section closed curve, and male rotor takes 1/4 section of curve of radial section closed curve, such as Fig. 2
In (a), (b), (c) and curved section shown in (d), the arrow row on schematic diagram represent the normal vector 4 of curve each point.Note choosing
Chaining pin is interfered to be advisable, it is ensured that measurement process is not touched during typical radial cross section curve section to be measured.
Parametric configuration step is mainly：Surveyed negative and positive rotor bottom typical radial cross section curve section is chosen, is allowed to vertically
Rotation alpha radian, when itself and top do not rotate radial section curved section to be exactly on the same flank of tooth, calculates according to measurement data
The axial distance L gone out between the rotation angle α and the calibrated section to cross section curve, extrapolates the crucial ginseng of modeling by data fitting
Number lead angleTake match value
Create negative and positive rotor three-dimensional data model step：By the negative and positive rotor typical curve section initial data of scanning survey and
Its normal vector imports special three-dimensional drawing software (such as NX, Pro-E, Solidworks etc.), by the method for rotation array
Whole piece radial section closed curve is constructed, gross error data, shearing redundance smoothing processing is filtered, can be fitted
Ideal negative and positive rotor radial cross section curve, while be input into the key parameter lead angle of fittingCarry out the reconstruct of cloud and
Characteristic is reconstructed, sutured formation occluding surface simultaneously hypostazation, creates negative and positive rotor three-dimensional data model.
Reverse measuremenet Qualify Phase：The negative and positive rotor three-dimensional data model for creating is imported into three coordinate measuring machine reverse measuremenet
Checking.During measurement, on the three-dimensional data model for importing, with the plane perpendicular to three-dimensional data model axis, respectively in three-dimensional
The arbitrary level locations of data model make plane, and phase is cut therewith, and the radial section that can intercept out negative and positive rotor in arbitrary level locations is sealed
Closed curve, creates 3D curves to be measured along the teeth groove radial section typical curve section of X axis (or Y-axis), and joins in curvilinear characteristic
Data filtering, data points and scanning speed are set in number, you can develop any radial section 3D curved measurements of negative and positive rotor
Program, with this radial section 3D curve datas as known standard name Value Data row measurement negative and positive rotor entity component.Specifically,
Negative and positive rotor is placed in three-dimensional coordinates measurement machine worktable home position and does not move, and now makes negative and positive rotor fundamental coordinate system 3 by measurement
Overlap with three-dimensional data model coordinate system, three are intercepted respectively at negative and positive rotor three-dimensional data model upper, middle and lower three position and treated
Teeth groove radial section typical curve section is surveyed, negative and positive rotor radial section 3D curved measurement programs are developed, such as Fig. 3 (a) -3 (c),
Shown in Fig. 4 (a) -4 (c), the arrow row on schematic diagram represent the normal vector 4 of curve each point.Operation program afterwards, three coordinates are surveyed
Amount machine gauge head will automatically in the position difference scanning survey radial section typical case of the corresponding upper, middle and lower of negative and positive rotor entity component three
Curved section, after the completion of scanning, revalues the Curve Profile Error σ of three tested radial section typical curve sections1、σ2And σ3, i.e., by
The error relationship surveyed between radial section typical curve section actual measurement Value Data row and 3D curve standard nominal values data row, verifies σ1
＜ 0.05mm, σ2＜ 0.05mm, σ3Whether ＜ 0.05mm set up.If data verification is set up, the negative and positive rotor three for creating is proved
The deviation of D Data Model meets requirement, reverse modeling success；Conversely, then repeat 1 to 6 step, until three-dimensional data model
Till deviation meets requirement.So far, the negative and positive rotor three-dimensional data model for meeting deviation requirement is completed, the good number of establishment debugging
After control processor, manufacture can be processed using the numerical control machining center for meeting condition, can subsequently carry out negative and positive rotor into
Product piece test is judging processing and manufacturing quality.
Finally it should be noted that：The preferred embodiments of the present invention are the foregoing is only, the present invention is not limited to,
Although being described in detail to the present invention with reference to the foregoing embodiments, for a person skilled in the art, which still may be used
To modify to the technical scheme described in foregoing embodiments, or equivalent is carried out to which part technical characteristic.
All any modification, equivalent substitution and improvements within the spirit and principles in the present invention, made etc., should be included in the present invention's
Within protection domain.
Claims (7)
1. a kind of reverse modeling method of negative and positive rotor, it is characterised in that including step：
Premeasuring step, makes negative and positive rotor be aligned with three-coordinates measuring machine, and makes fundamental coordinate system Z of three-coordinates measuring machine foundation
Axle and negative and positive rotor center dead in line；
Measuring process, using three-coordinates measuring machine 1/6 section of scanning survey female rotor radial section closed curve on female rotor
Curve, using 1/4 curve of three-coordinates measuring machine scanning survey male rotor radial section closed curve on male rotor；
Parametric configuration step, extrapolates modeling parameters lead angle based on the data fitting measured in the measuring process
Negative and positive rotor three-dimensional data model step is created, it is bent by 1/6 section of the female rotor radial section closed curve of scanning survey
The data of 1/4 section of curve of the data of line and its normal vector and male rotor radial section closed curve and its normal vector are led
Enter three-dimensional drawing software, create negative and positive rotor three-dimensional data model afterwards.
Reverse measuremenet verification step, the negative and positive rotor three-dimensional data model of establishment is imported three-coordinates measuring machine carries out reverse measuremenet
Checking, if data verification is set up, reverse modeling success, if data verification is false, repeatedly above step is until verify into
It is vertical.
2. a kind of reverse modeling method of negative and positive rotor as claimed in claim 1, it is characterised in that the premeasuring step bag
Include and negative and positive rotor is placed on the workbench of three-coordinates measuring machine, and cause direction and three coordinates of a teeth groove of negative and positive rotor
The X-axis or Y-axis of measuring machine is parallel, and fundamental coordinate system is set up on the central axis of negative and positive rotor.
3. a kind of reverse modeling method of negative and positive rotor as claimed in claim 1, it is characterised in that the measuring process includes
Teeth groove initial sweep point to be measured and terminating point, Scanning step and scanning speed are preset first using three-coordinates measuring machine, afterwards gauge head
The default initial sweep point of teeth groove to be measured is fed to along fundamental coordinate system X-axis or Y-axis in automatic mode, when gauge head contact on rise
After beginning scanning element, then start automatically scanning collection 3D curve datas, scan to terminating point and terminate, and obtain female rotor radial section
1/4 section of curve of 1/6 section of curve and male rotor radial section closed curve of closed curve.
4. a kind of reverse modeling method of negative and positive rotor as claimed in claim 1, it is characterised in that the parametric configuration step
Including 1/4 section of curve edge of the 1/6 section of curve and male rotor radial section closed curve for making female rotor radial section closed curve
Its center axis axial-rotation α radians, do not rotate at the top of 1/6 section of curve and the female rotor of female rotor radial section closed curve
When radial section curved segments are in the same flank of tooth and when 1/4 section of curve and the male rotor top of male rotor radial section closed curve
Portion do not rotate radial section curved segments in the same flank of tooth when, according to the axial direction between rotation angle α and radial section curved section
Apart from L, modeling parameters lead angle is extrapolated by data fittingWherein
5. a kind of reverse modeling method of negative and positive rotor as claimed in claim 1, it is characterised in that the establishment negative and positive rotor
Three-dimensional data model step includes going out female rotor radial section closed curve and male rotor footpath by the method construct of rotation array
To enclosed cross curve, and by filtering gross error data, shearing redundance smoothing processing, while being input into the ginseng of fitting
Number lead angleA cloud reconstruct and characteristic reconstruct, sutured formation occluding surface hypostazation is carried out, negative and positive rotor is created
Three-dimensional data model.
6. a kind of reverse modeling method of negative and positive rotor as claimed in claim 1, it is characterised in that exploitation negative and positive rotor is arbitrary
Radial section 3D curved measurement programs, and with negative and positive rotor radial cross section curve data as standard nominal value；Operation program, three sit
Mark measuring instrument gauge head is in 1/6 curved section of the position of corresponding upper, middle and lower of female rotor part three scanning survey radial section and in sun
1/4 curved section of the position of corresponding upper, middle and lower of rotor component three scanning survey radial section, by three female rotors are radially cut
The numerical value of 1/6 curved section of face and three 1/4 curved sections of male rotor radial section is contrasted with curve standard nominal value data, is commented
Line profile error σ of three 1/6 curved sections of female rotor radial section of valency and three 1/4 curved sections of male rotor radial section1、σ2With
σ3If, σ1＜ 0.05mm, σ2＜ 0.05mm, σ3＜ 0.05mm, then negative and positive rotor model successfully, conversely, then sequentially repeat premeasuring
Step, measuring process, parametric configuration step, establishment negative and positive rotor three-dimensional data model step, reverse measuremenet verification step, until
Till 1/6 curved section of female rotor radial section and 1/4 curved section of male rotor radial section meet line profile error.
7. a kind of reverse modeling method of negative and positive rotor as claimed in claim 6, it is characterised in that intercept out negative and positive rotor and exist
The radial section closed curve of arbitrary level locations, choose female rotor along X-axis or Y-axis 1/6 curved section of teeth groove radial section and
Male rotor creates 3D curves to be measured along 1/4 curved section of teeth groove radial section of X-axis or Y-axis, and arranges in curvilinear characteristic parameter
Data filtering, number of scan points and scanning speed, so that develop the arbitrary radial section 3D curved measurement programs of negative and positive rotor.
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| Application Number | Priority Date | Filing Date | Title |
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| CN201610857437.6A CN106528922A (en) | 2016-09-27 | 2016-09-27 | Inverse modeling method for male and female rotors |
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| Application Number | Priority Date | Filing Date | Title |
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| CN201610857437.6A CN106528922A (en) | 2016-09-27 | 2016-09-27 | Inverse modeling method for male and female rotors |
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| CN102997875A (en) * | 2012-09-20 | 2013-03-27 | 湖南科技大学 | Method for analyzing uncertainty in high-precision measurement of complex spiral curved surfaces |
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2016
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Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US5949693A (en) * | 1996-09-06 | 1999-09-07 | Tandler; William | Computer aided design (CAD) system for automatically constructing datum reference frame (DRF) and feature control frame (FCF) for machine part |
| CN101702087A (en) * | 2009-11-17 | 2010-05-05 | 河北科技大学 | Reverse method based on CAD model modification and measurement path planning |
| CN102997875A (en) * | 2012-09-20 | 2013-03-27 | 湖南科技大学 | Method for analyzing uncertainty in high-precision measurement of complex spiral curved surfaces |
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| 张正华: "螺杆转子型线技术检测研究", 《中国优秀硕士学位论文全文数据库，工程科技Ⅰ辑》 * |
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