CN103438828B - A kind of method of laser detection of screw rotor end sectional shape - Google Patents

A kind of method of laser detection of screw rotor end sectional shape Download PDF

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Publication number
CN103438828B
CN103438828B CN201310365949.7A CN201310365949A CN103438828B CN 103438828 B CN103438828 B CN 103438828B CN 201310365949 A CN201310365949 A CN 201310365949A CN 103438828 B CN103438828 B CN 103438828B
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China
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screw rotor
displacement sensor
laser displacement
laser
rotor end
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CN103438828A (en
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姚斌
张祥雷
张凌
沈志煌
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Shaanxi Hanji Precision Machinery Co ltd
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Xiamen University
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Abstract

A method for laser detection of screw rotor end sectional shape, relates to the detection of screw rotor.Utilize the measurement advantage that laser displacement sensor high precision, contactless, life-span are long, make it cut a shape along rotor theory end and move to keep equidistant measurement.Set up the kinematic relation of screw rotor rotating coordinate system and laser displacement sensor mobile platform place coordinate system, calculate the normal vector that rotor-end cuts each data point of shape, avoid by rotary screw rotor the problem that angle that the interference and measured point normal vector of measured point in measuring process being blocked by other profile and laser penetrates direction exceeds the angular range that laser displacement sensor can accurately be measured.Effectively can improve accuracy of detection, obtain the high precision test that screw rotor end cuts shape, the end that also can be practically applicable to the relatively open product of helicoid cuts shape and measures.

Description

A kind of method of laser detection of screw rotor end sectional shape
Technical field
The present invention relates to the detection of screw rotor, especially relate to a kind of method of laser detection of screw rotor end sectional shape.
Background technology
Screw rotor end face molded line is the principal character line of screw rotor, and being the basis that screw rod manufactures, is thus the key of screw rod production quality control to the measurement of screw rotor end face molded line.Along with the development of screw rod and research thereof, its rotor-end cross section molded line composition also becomes increasingly complex, and the difficulty measured molded line under the condition ensureing precision is also increasing.To one of detection method of molded lines of rotor be direct copy ([1] Zhang Zhenghua. screw rotor molded line detection technique research [D]. Southern Yangtze University .2008 June), its key measured depends on the manufacturing accuracy of master screw rotor, and the method is applicable to the lower screw rotor of measuring accuracy.Three-coordinates measuring machine (CMM) is generally adopted to carry out detecting ([2] Shi Guorong at present, Sui Lianxiang, look into continue red. the digitized measurement of spiral camber and data processing technique [J]. Shenyang Institute of Technology journal .2004,23 (2): 80-82), contact and contactless two classes can be divided into by its way of contact.Contact type measurement adopts gauge head directly to contact rotor surface to obtain molded lines of rotor seat calibration method, this detection method can make screw rod under turn state, measure its overall dimension, molded line etc. geometrical precision ([3] Ye Jing. twin-screw compressor rotor profile detects and the research [D] expressed. Southern Yangtze University .2011 June).But the inspection software complicated operation matched with CMM equipment, requires very high to the operative skill of staff; Gauge head is easy to wear in using causes that measuring accuracy reduces, the life-span is low, and the measurement acceleration of motion change for deep camber molded line affects measuring accuracy greatly so accuracy of detection aspect also has much room for improvement.And non-contact measurement is because mechanical motion is three linear axis, motion calculation is complicated, efficiency is low, measuring accuracy is difficult to meet product demand, for its measuring accuracy of TDV-900 at 0.02mm ~ 0.05mm, and screw rotor belongs to precision manufactureing product, in its accuracy requirement, lower deviation is no more than 0.01mm, and what therefore current enterprise generally adopted is contact type measurement equipment.
Summary of the invention
The object of the present invention is to provide and can meet a class precision testing requirement, accurately can obtain the precision of screw rotor end cross section molded line, and by moving the precision of cutting shape molded line with rotary rotor platform acquisition screw rotor physical dimension and other position end any along Z axis, precise evaluation mismachining tolerance, measurement result is for instructing and improving the method that screw rotor machining precision provides a kind of laser detection of screw rotor end sectional shape of authentic data.
The present invention includes following steps:
(1) screw rotor coordinate system is set up, cut shape equation according to screw rotor end and calculate each data point normal vector on screw rotor end facial contour, the X-coordinate of theory shaped wire is added the optimum measurement distance L of laser displacement sensor, obtain the parallel curves that screw rotor end cuts shape theory shaped wire;
(2) being fixed on by laser displacement sensor can along on the platform of X, Y, Z tri-direction movements, set up the kinematic relation of rotor turns coordinate system and laser displacement sensor mobile platform place coordinate system, adjustment laser displacement sensor makes its relatively tested screw rod be in best measurement position, and carries out zero demarcation to measurement reference position;
(3) whether the angle penetrating direction (X-direction) to the normal vector of the tested data point of the next one and laser can Measurement accuracy angular range (-α at laser displacement sensor, α) and whether can interfere and judge, at angle rationally and move without when interference, pass through X again, the interlock of Y-axis, the parallel curves making laser displacement sensor cut shape theory shaped wire along precalculated screw rotor end in step (1) moves, and laser injection direction (being designated as X-direction) and the angle of the tested data point normal vector of rotor can Measurement accuracy angular range (-α at laser displacement sensor, α),
(4) when the angle of tested data point normal vector and X-direction exceeds (-α, α), or when the laser that laser displacement sensor is launched is blocked by other profile and interferes phenomenon, rotary screw rotor makes it turn over angle [alpha] or-α, ensure that the angle of two laser injection directions and tested data point normal vector is at angle (-α, α) in and without interference, the each data point normal vector of postrotational screw rotor end face molded line is calculated again according to principle of coordinate transformation, and correspondingly move laser displacement sensor, make laser displacement sensor and measured point be in theoretical demarcation distance to proceed to detect, until the measurement of screw rotor end face molded line completes,
(5) laser displacement sensor is moved to the next position needing to detect along Z axis, repeat step (3) and (4);
(6) read the measured value of screw rotor diverse location profile by data acquisition module, result of calculation is saved as accessible data; The maxima and minima measured does difference and is the precision that screw rotor end cuts shape.
In step (1), described screw rotor end is cut shape equation and is comprised each data point parameter and helix parameter.
In step (2), the laser injection direction of described laser displacement sensor is parallel to X-axis; Described platform cuts shape profile along X, Y-direction interlock for detecting screw rotor end, and platform moves the profile for detecting screw rotor diverse location along Z-direction, and the mobile accuracy of the platform of described movement is higher than 1 μm; The requirement of described reference position is as follows: the distance of laser displacement sensor and tested data point is the optimum measurement length L of laser displacement sensor, and the angle making the normal vector of measured point and laser penetrate direction (X-direction) can in the angular range (-α, α) of Measurement accuracy at laser displacement sensor.
In step (4), described coordinate transform comprises: a) screw rotor end is cut shape coordinate system and done corresponding translation transformation, c) theoretical according to graph transformation around the laser displacement sensor coordinate that Z ' does on rotational transform, b) mobile platform of rotation alpha angle, calculates the theoretical normal vector cutting shape and each data point of postrotational residue.
The present invention cuts the machining precision of shape for detecting screw rotor end under three-dimensional cartesian coordinate system, utilize laser displacement sensor high precision, the measurement advantage that contactless, the life-span is long, make it cut a shape along rotor theory end and move to keep equidistant measurement.Set up the kinematic relation of screw rotor rotating coordinate system and laser displacement sensor mobile platform place coordinate system, calculate the normal vector that rotor-end cuts each data point of shape, avoid by rotary screw rotor the problem that angle that the interference and measured point normal vector of measured point in measuring process being blocked by other profile and laser penetrates direction exceeds the angular range that laser displacement sensor can accurately be measured.The present invention effectively can improve accuracy of detection, obtains the high precision test that screw rotor end cuts shape, and the end that also can be practically applicable to the relatively open product of helicoid cuts shape and measures.
Beneficial effect of the present invention is as follows:
1. measure wide.Application the present invention can obtain effectively and exactly the machining precision of screw rotor arbitrary end cross section molded line, can realize the detection of the physical dimension machining precisioies such as the pitch of rotor, helix angle or helical pitch.This detection method can be extended to end that helicoid cuts the relatively open product of shape and cut shape and measure.
2. measuring accuracy is high.Because the distance of laser displacement sensor in measuring process and tested data point remains in the variation range of silk level, the measuring accuracy of laser displacement sensor can think the repeatable accuracy measured, general is all higher than micron order, and its measuring error can be ignored.Measuring error of the present invention is mainly derived from the departure of system, and comprise the displacement error of mobile platform, grating error etc., these errors cannot be avoided in testing process, but can effectively control at below 0.001mm.In whole measuring process, avoid and require that screw rotor and mobile platform link the interlock error caused, and avoid and require to carry out splicing to measurement data and the stitching error caused in last handling process.Therefore the present invention has high measuring accuracy, 0.003 ~ 0.005mm can be reached in theory.
3. Accuracy Assessment is simple.Measured value and demarcation 0 value are compared, the deviation of tested data point can be obtained, cut the machining precision of shape according to the numerical range evaluation screw rotor end of deviation.
4. long service life.Measure owing to have employed contactless laser displacement sensor, serviceable life, generally higher than 10 years, avoids the defect that when adopting contact type measurement, laser displacement sensor is easy to wear, serviceable life is low.
Accompanying drawing explanation
Fig. 1 is that screw rotor end cuts shape detection model.
Fig. 2 is that screw rotor end cuts shape measuring principle.
In fig 1 and 2, be respectively labeled as:
11-mobile platform, 12-laser displacement sensor;
21-laser displacement sensor, 22-theory end cuts the parallel curves of shape, sensor motion track after 23-rotates, and the postrotational theory end of 24-cuts the parallel curves of shape, and the end before 25-adjustment cuts shape, and the end after 26-adjustment cuts shape;
θ-parameter.
Embodiment
Following examples will elaborate to the present invention by reference to the accompanying drawings.
Direct application mode of the present invention carries out the detection that screw rotor end face cuts shape molded line.
Step (1): as the screw rotor that certain has machined, sets up screw rotor coordinate system, and the arbitrary end providing it cuts shape equation and is:
r 0=[x 0(s)cosθ-y 0(s)sinθ]i+[x 0(s)sinθ+y 0(s)cosθ]j±pθk (1)
Or be expressed as with co-ordinate-type:
r 0 = x = x 0 ( s ) cos θ - y 0 ( s ) sin θ y = x 0 ( s ) sin θ + y 0 ( s ) cos θ z = ± pθ - - - ( 2 )
In two formulas, s, θ are parameter above.
Its each data point normal vector is:
n = i j k ∂ x ∂ s ∂ y ∂ s ∂ z ∂ s ∂ x ∂ θ ∂ y ∂ θ ∂ z ∂ θ - - - ( 3 )
The parallel curves that screw rotor end cuts shape theory shaped wire is:
r ′ 0 = x = x 0 ( s ) cos θ - y 0 ( s ) sin θ + L y = x 0 ( s ) sin θ + y 0 ( s ) cos θ z = ± pθ - - - ( 4 )
Step (2): with reference to Fig. 1, being fixed on by laser displacement sensor can along on the platform of X, Y, Z tri-direction high precision movement, set up the kinematic relation of rotor turns coordinate system and laser displacement sensor mobile platform place coordinate system, adjustment laser displacement sensor makes its relatively tested screw rod be in optimum measurement distance, that is:
x=X-L (5)
First carry out zero to initial distance before measurement starts to demarcate.
Step (3): as shown in Figure 2, measures after starting, first judges the normal direction of data point and the angle α of X-direction 0whether in (-α, α) scope, and judge whether tested data point has in X direction and blocked by other profiles, if angle rationally and without interference, then start the distance measuring this point.After measuring first data point, judge whether next tested data point can be measured, if can measure, then laser displacement sensor being moved to the next one along the parallel curves that theoretical end cuts shape can the data point of Measurement accuracy, and measures.
Step (4): as shown in Figure 2, when the angle of tested data point normal vector and X-direction exceeds (-α, α), then need rotary screw rotor, the anglec of rotation is α.Carry out coordinate transform to remaining the end serif portion do not detected, its coordinate conversion relation is:
x ′ y ′ z ′ = cos ( ± θ ) - sin ( ± θ ) 0 sin ( ± θ ) cos ( ± θ ) 0 0 0 1 x y z - - - ( 6 )
Meanwhile, the mobile platform that laser displacement sensor is housed correspondingly need carry out coordinate running transform, and its coordinate conversion relation is:
x ′ y ′ z ′ = x y z + l m n = x + l y + m z + n - - - ( 7 )
If the interference blocked by other profile occurs next data point in X direction, then need rotary screw rotor, the anglec of rotation is-α.Same employing matrix (6), (7) do corresponding coordinate transform.
The rest may be inferred, measure next can the data point of Measurement accuracy, finally can complete the detection that whole end cuts shape.
Step (5): the end if desired measuring another position cuts shape, then only need move to this place by laser displacement sensor along Z axis, repeats step (3) and step (4), can complete detection.
Step (6): laser displacement sensor is carried out data processing to the measured value of each data point, takes out maximum detected value and minimum detection value, and both differences are the machining precision that screw rotor end cuts shape.
Along Z axis mobile platform, the screw rotor end making laser displacement sensor measure diverse location cuts shape, and measuring method is the same.
The screw rotor end of other positions measured by combining step (5) cuts the machining precision of shape, can evaluate the precision of whole screw rotor end cross section molded line.
Adopt the detection method that the present invention is used, greatly reduce the sensing range of laser displacement sensor, the measuring accuracy of laser displacement sensor is made to measure repeatable accuracy for it, therefore the accuracy of detection that screw rotor end can be cut shape by detection method of the present invention in a sense brings up to the limit of physical construction motion, make error mainly come from the rotation error of screw rotor, the factor such as mobile accuracy, grating precision of fixed laser displacement sensing applicator platform, the accuracy of detection enabling non-contact measurement screw rotor end cut shape meets accuracy of detection requirement.

Claims (5)

1. a method for laser detection of screw rotor end sectional shape, is characterized in that comprising the following steps:
(1) screw rotor coordinate system is set up, cut shape equation according to screw rotor end and calculate each data point normal vector on screw rotor end facial contour, the X-coordinate of theory shaped wire is added the optimum measurement distance L of laser displacement sensor, obtain the parallel curves that screw rotor end cuts shape theory shaped wire;
(2) being fixed on by laser displacement sensor can along on the platform of X, Y, Z tri-direction movements, set up the kinematic relation of rotor turns coordinate system and laser displacement sensor mobile platform place coordinate system, adjustment laser displacement sensor makes its relatively tested screw rod be in best measurement position, and carries out zero demarcation to measurement reference position;
(3) whether the angle penetrating direction to the normal vector of the tested data point of the next one and laser can Measurement accuracy angular range (-α at laser displacement sensor, α) and whether can interfere and judge, at angle rationally and move without when interference, pass through X again, the interlock of Y-axis, the parallel curves making laser displacement sensor cut shape theory shaped wire along precalculated screw rotor end in step (1) moves, and the angle of laser injection direction and the tested data point normal vector of rotor can Measurement accuracy angular range (-α at laser displacement sensor, α),
(4) when the angle of tested data point normal vector and X-direction exceeds (-α, α), or when the laser that laser displacement sensor is launched is blocked by other profile and interferes phenomenon, rotary screw rotor makes it turn over angle [alpha] or-α, ensure that the angle of two laser injection directions and tested data point normal vector is at angle (-α, α) in and without interference, the each data point normal vector of postrotational screw rotor end face molded line is calculated again according to principle of coordinate transformation, and correspondingly move laser displacement sensor, make laser displacement sensor and measured point be in theoretical demarcation distance to proceed to detect, until the measurement of screw rotor end face molded line completes,
(5) laser displacement sensor is moved to the next position needing to detect along Z axis, repeat step (3) and (4);
(6) read the measured value of screw rotor diverse location profile by data acquisition module, result of calculation is saved as accessible data; The maxima and minima measured does difference and is the precision that screw rotor end cuts shape.
2. the method for a kind of laser detection of screw rotor end sectional shape as claimed in claim 1, it is characterized in that in step (1), described screw rotor end is cut shape equation and is comprised each data point parameter and helix parameter.
3. as the method for claim 1 laser detection of screw rotor end sectional shape, it is characterized in that in step (2), the laser injection direction of described laser displacement sensor is parallel to X-axis; Described platform cuts shape profile along X, Y-direction interlock for detecting screw rotor end, and platform moves the profile for detecting screw rotor diverse location along Z-direction, and the mobile accuracy of the platform of described movement is higher than 1 μm.
4. as the method for claim 1 laser detection of screw rotor end sectional shape, it is characterized in that in step (2), the requirement of described reference position is as follows: the distance of laser displacement sensor and tested data point is the optimum measurement length L of laser displacement sensor, and the angle making the normal vector of measured point and laser penetrate direction and X-direction can in the angular range (-α, α) of Measurement accuracy at laser displacement sensor.
5., as the method for claim 1 laser detection of screw rotor end sectional shape, it is characterized in that described coordinate transform comprises in step (4):
A) screw rotor end cuts shape coordinate system does rotation alpha angle rotational transform around Z;
B) the laser displacement sensor coordinate on mobile platform does corresponding translation transformation;
C) theoretical according to graph transformation, calculate the theoretical normal vector cutting shape and each data point of postrotational residue.
CN201310365949.7A 2013-08-20 2013-08-20 A kind of method of laser detection of screw rotor end sectional shape Expired - Fee Related CN103438828B (en)

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CN106767606A (en) * 2017-03-21 2017-05-31 重庆大学 Quimby pump rotor interference detection method based on rigging error
DE102017121344A1 (en) * 2017-09-14 2019-03-14 Liebherr-Verzahntechnik Gmbh Method for automatically determining the geometric dimensions of a tool with a spiral-shaped machining area
CN108088389B (en) * 2018-02-01 2023-05-12 深圳大学 Rotary double-laser profile measuring method, storage device and measuring device
CN110285773B (en) * 2019-07-09 2020-06-05 东莞市三姆森光电科技有限公司 Constant linear velocity control method for workpiece contour detection
CN111288893A (en) * 2020-04-01 2020-06-16 厦门大学 Screw rotor laser measurement trajectory planning method under multi-factor constraint
CN112082445B (en) * 2020-09-16 2021-11-12 湖北恒隆汽车系统集团有限公司 Detection method and detection device for attenuation change of spiral trajectory of steering screw
CN114061485A (en) * 2021-11-17 2022-02-18 桂林欧瑞德科技有限责任公司 Control device for automatically adjusting laser incident angle and use method thereof

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Inventor after: Yao Bin

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