CN103438828A - Method for laser detection of screw rotor end sectional shape - Google Patents

Method for laser detection of screw rotor end sectional shape Download PDF

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Publication number
CN103438828A
CN103438828A CN2013103659497A CN201310365949A CN103438828A CN 103438828 A CN103438828 A CN 103438828A CN 2013103659497 A CN2013103659497 A CN 2013103659497A CN 201310365949 A CN201310365949 A CN 201310365949A CN 103438828 A CN103438828 A CN 103438828A
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screw rotor
displacement sensor
laser displacement
laser
rotor end
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CN103438828B (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

The invention discloses a method for laser detection of a screw rotor end sectional shape, and relates to detection of screw rotors. The measurement advantages of high precision, non-contact type and long service life of a laser displacement sensor are utilized, and the laser displacement sensor moves along the rotor theoretical end sectional shape to keep equidistance measurement. A kinematic relation between a screw rotor rotating coordinate system and a coordinate system where a movable platform of the laser displacement sensor is located is established, a normal vector of each data point of the rotor end sectional shape is calculated, by the rotation of the screw rotors, the interference phenomenon that a measured point is sheltered by other contours in the measurement process is avoided, and the problem that the included angle between the normal vector of the measured point and the laser emergent direction exceeds the angle range, which can be accurately measured, of the laser displacement sensor is solved. The detection accuracy can be effectively improved, the high-precision detection of the screw rotor end sectional shape is obtained, and the method is also applied to measurement of end sectional shapes of the screw rotors with wide helicoids.

Description

A kind of method that laser detection screw rotor end cuts shape
Technical field
The present invention relates to the detection of screw rotor, especially relate to a kind of method that laser detection screw rotor end cuts shape.
Background technology
The screw rotor end face molded line is the principal character line of screw rotor, is the basis that screw rod is manufactured, thereby is 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 of under the condition that guarantees precision, molded line being measured 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]. the .2008 of Southern Yangtze University June), the key of its measurement depends on the manufacturing accuracy of master screw rotor, and the method is applicable to the screw rotor that measuring accuracy is lower.Generally adopt at present three-coordinates measuring machine (CMM) to be detected ([2] Shi Guorong, Sui Lianxiang, look into continue red. the digitized measurement of spiral camber and data processing technique [J]. the journal .2004 of Shenyang Institute of Technology, 23 (2): 80-82), by its way of contact, can be divided into contact and contactless two classes.Contact type measurement is to adopt gauge head directly to contact the method that rotor surface obtains the molded lines of rotor coordinate, 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] of expressing. the .2011 of Southern Yangtze University June).But the detection software operation complexity matched with CMM equipment is very high to staff's operative skill requirement; Easy to wearly during gauge head is used cause that measuring accuracy reduces, the life-span is low, for the measurement acceleration of motion of deep camber molded line, change and affect measuring accuracy greatly so the accuracy of detection aspect also has much room for improvement.And non-contact measurement is because mechanical motion is three linear axis, the motion calculation complexity, efficiency is low, measuring accuracy is difficult to meet product demand, take TDV-900 as its measuring accuracy of example at 0.02mm~0.05mm, and screw rotor belongs to precision and manufactures a product, in its accuracy requirement, lower deviation is no more than 0.01mm, and what therefore enterprise generally adopted at present 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, can accurately obtain the precision of screw rotor end section molded line, and can be by move the precision of with rotary rotor platform acquisition screw rotor physical dimension and any other position end, cutting the shape molded line along Z axis, the precise evaluation mismachining tolerance, measurement result is the method instructed and raising screw rotor machining precision provides a kind of laser detection screw rotor end of authentic data to cut shape.
The present invention includes following steps:
(1) set up the screw rotor coordinate system, cut the shape equation according to the screw rotor end and calculate each data point normal vector on the screw rotor end face profile, the X coordinate of theory shaped wire is added to the optimum measurement distance L of laser displacement sensor, obtain the parallel curves that the screw rotor end cuts the shape theory shaped wire;
(2) laser displacement sensor is fixed on the platform that can move along X, Y, tri-directions of Z, set up the kinematic relation of rotor rotating coordinate system and laser displacement sensor mobile platform place coordinate system, adjust laser displacement sensor and make its relatively tested screw rod in best measurement position, and to measuring the reference position demarcation of being made zero;
(3) normal vector of the tested data point of the next one and laser are penetrated to direction (directions X) but angle whether at laser displacement sensor Measurement accuracy angular range (α, α) and whether can interfere and judged, in the situation that angle rationally and without interfering moves, pass through again X, the interlock of Y-axis, the parallel curves that makes laser displacement sensor cut the shape theory shaped wire along screw rotor end precalculated in step (1) moves, and laser penetrate direction (being designated as directions X) but with the angle of the tested data point normal vector of rotor at laser displacement sensor Measurement accuracy angular range (α, α),
(4) angle when tested data point normal vector and directions X exceeds (α, α), perhaps the laser of laser displacement sensor emission is blocked by other profile and while interfering phenomenon, the rotary screw rotor make its turn over angle [alpha] or-α, guarantee that two laser penetrate the angle of direction and tested data point normal vector at angle (α, α) and without interference, calculate each data point normal vector of postrotational screw rotor end face molded line according to principle of coordinate transformation again, and mobile laser displacement sensor correspondingly, make laser displacement sensor and measured point proceed to detect in theoretical demarcation distance, until the measurement of screw rotor end face molded line completes,
(5) laser displacement sensor is moved to the next position of detecting, repeating step (3) and (4) of needing along Z axis;
(6) read the measured value of screw rotor diverse location profile by data acquisition module, result of calculation is saved as to accessible data; The maximal value of measuring and minimum value are done the poor precision that the screw rotor end cuts shape that is.
In step (1), described screw rotor end cuts the shape equation and comprises each data point parameter and helix parameter.
In step (2), the laser of described laser displacement sensor penetrates direction and is parallel to X-axis; Described platform cuts the shape profile along X, Y-direction interlock for detection of the screw rotor end, and platform moves the profile for detection of the screw rotor diverse location along the Z direction, and the mobile accuracy of the platform of described movement is higher than 1 μ m; 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 make the normal vector of measured point and laser penetrate direction (directions X) but angle in the angular range (α, α) of laser displacement sensor Measurement accuracy.
In step (4), described coordinate transform comprises: a) the screw rotor end cuts the shape coordinate system and is rotational transform, the b of rotation alpha angle around Z ') laser displacement sensor coordinate on mobile platform is corresponding translation transformation, c) according to the graph transformation theory, calculate the theoretical normal vector that cuts shape and each data point of postrotational residue.
The present invention is for detection of the machining precision that under three-dimensional cartesian coordinate system, the screw rotor end cuts shape, utilizes laser displacement sensor high precision, the measurement advantage that contactless, the life-span is long, makes it along the theoretical end of rotor, cut a shape and moves 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 rotor-end and cut the normal vector of each data point of shape, the angle of having avoided the interference that in the measuring process, measured point is blocked by other profile and measured point normal vector and laser to penetrate direction by the rotary screw rotor exceeds the problem of the angular range that laser displacement sensor can accurately measure.The present invention can effectively improve accuracy of detection, obtains the high precision detection that the 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 be effectively and is obtained 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 pitch, helix angle or helical pitch of rotor.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 be thought the repeatable accuracy of measuring, all generally that its measuring error can be ignored higher than micron order.Measuring error of the present invention is mainly derived from the departure of system, comprises displacement error, grating error of mobile platform etc., and these errors can't be avoided in testing process, but can effectively be controlled at below 0.001mm.In whole measuring process, avoided the interlock error that requires screw rotor and mobile platform interlock to cause, avoided in last handling process, requiring measurement data is spliced to the stitching error of processing and causing.Therefore the present invention has high measuring accuracy, can reach 0.003~0.005mm in theory.
3. Accuracy Assessment is simple.Measured value is compared with demarcating 0 value, can obtain the deviation of tested data point, according to the numerical range of deviation, evaluate the machining precision that the screw rotor end cuts shape.
4. long service life.Owing to having adopted contactless laser displacement sensor to measure, serviceable life is generally higher than 10 years, the defect that while having avoided adopting contact type measurement, laser displacement sensor is easy to wear, serviceable life is low.
The accompanying drawing explanation
Fig. 1 is that the screw rotor end cuts the shape detection model.
Fig. 2 is that the screw rotor end cuts the shape measuring principle.
In Fig. 1 and 2, respectively be labeled as:
The 11-mobile platform, the 12-laser displacement sensor;
The 21-laser displacement sensor, the theoretical end of 22-cuts the parallel curves of shape, sensor motion track after the 23-rotation, the postrotational theoretical end of 24-cuts the parallel curves of shape, and the end before 25-adjusts cuts shape, and the end after 26-adjusts cuts shape;
θ-parameter.
Embodiment
Following examples elaborate to the present invention in connection with accompanying drawing.
Direct application mode of the present invention is to carry out the detection that screw rotor end face cuts the shape molded line.
Step (1): as certain screw rotor machined, set up the screw rotor coordinate system, the arbitrary end that provides it cuts the 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 )
Above s in two formulas, θ is parameter.
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 the screw rotor end cuts the 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, laser displacement sensor is fixed in can be along on the platform of X, Y, tri-direction high precision movement of Z, set up the kinematic relation of rotor rotating coordinate system and laser displacement sensor mobile platform place coordinate system, adjusting laser displacement sensor makes its relatively tested screw rod in the optimum measurement distance, that is:
x=X-L (5)
Before measure starting first to the initial distance demarcation of being made zero.
Step (3): as shown in Figure 2, after measuring beginning, at first judge the normal direction of data point and the angle α of directions X 0whether in (α, α) scope, and judge whether tested data point has by other profiles and block along directions X, if angle rationally and without interference, starts to measure the distance of this point.After measuring first data point, judge whether next tested data point can be measured, if can measure, but the parallel curves that laser displacement sensor is cut to shape along the theory end moves to the data point of next one Measurement accuracy, and is measured.
Step (4): as shown in Figure 2, when the angle of tested data point normal vector and directions X exceeds (α, α), need the rotary screw rotor, the anglec of rotation is α.The end transversal that residue is not detected partly carries out coordinate transform, and its coordinate transform is closed and is:
x ′ y ′ z ′ = cos ( ± θ ) - sin ( ± θ ) 0 sin ( ± θ ) cos ( ± θ ) 0 0 0 1 x y z - - - ( 6 )
Simultaneously, the mobile platform that laser displacement sensor is housed need correspondingly carry out the coordinate running transform, and its coordinate transform is closed and is:
x ′ y ′ z ′ = x y z + l m n = x + l y + m z + n - - - ( 7 )
If the interference of being blocked by other profile occurs in next data point along directions X, need the rotary screw rotor, the anglec of rotation is-α.Corresponding coordinate transform is done in same matrix (6), (7) of adopting.
The rest may be inferred, but measure the data point of next one Measurement accuracy, finally can complete the detection that whole end cuts shape.
Step (5): if need the end of measuring another position to cut shape, only laser displacement sensor need be moved to this place along Z axis, repeating step (3) and step (4), can complete detection.
Step (6): laser displacement sensor is carried out to the data processing to the measured value of each data point, take out maximum detected value and minimum detection value, both differences are the machining precision that the screw rotor end cuts shape.
Along the Z axis mobile platform, the screw rotor end that makes laser displacement sensor measure diverse location cuts shape, and measuring method is the same.
The machining precision that the screw rotor end of other positions that comprehensive step (5) is measured cuts shape, can estimate the precision of whole screw rotor end section molded line.
Adopt the present invention's detection method used, greatly dwindled the sensing range of laser displacement sensor, make the measuring accuracy of laser displacement sensor measure repeatable accuracy for it, therefore the accuracy of detection that detection method of the present invention can be cut the screw rotor end shape is in a sense brought up to the limit of physical construction motion, make error mainly come from the factor such as mobile accuracy, grating precision of rotation error, the fixed laser displacement sensing applicator platform of screw rotor, the accuracy of detection that makes non-contact measurement screw rotor end cut shape can meet the accuracy of detection requirement.

Claims (5)

1. the method that laser detection screw rotor end cuts shape is characterized in that comprising the following steps:
(1) set up the screw rotor coordinate system, cut the shape equation according to the screw rotor end and calculate each data point normal vector on the screw rotor end face profile, the X coordinate of theory shaped wire is added to the optimum measurement distance L of laser displacement sensor, obtain the parallel curves that the screw rotor end cuts the shape theory shaped wire;
(2) laser displacement sensor is fixed on the platform that can move along X, Y, tri-directions of Z, set up the kinematic relation of rotor rotating coordinate system and laser displacement sensor mobile platform place coordinate system, adjust laser displacement sensor and make its relatively tested screw rod in best measurement position, and to measuring the reference position demarcation of being made zero;
(3) normal vector of the tested data point of the next one and laser are penetrated to direction (directions X) but angle whether at laser displacement sensor Measurement accuracy angular range (α, α) and whether can interfere and judged, in the situation that angle rationally and without interfering moves, pass through again X, the interlock of Y-axis, the parallel curves that makes laser displacement sensor cut the shape theory shaped wire along screw rotor end precalculated in step (1) moves, and laser penetrate direction (being designated as directions X) but with the angle of the tested data point normal vector of rotor at laser displacement sensor Measurement accuracy angular range (α, α),
(4) angle when tested data point normal vector and directions X exceeds (α, α), perhaps the laser of laser displacement sensor emission is blocked by other profile and while interfering phenomenon, the rotary screw rotor make its turn over angle [alpha] or-α, guarantee that two laser penetrate the angle of direction and tested data point normal vector at angle (α, α) and without interference, calculate each data point normal vector of postrotational screw rotor end face molded line according to principle of coordinate transformation again, and mobile laser displacement sensor correspondingly, make laser displacement sensor and measured point proceed to detect in theoretical demarcation distance, until the measurement of screw rotor end face molded line completes,
(5) laser displacement sensor is moved to the next position of detecting, repeating step (3) and (4) of needing along Z axis;
(6) read the measured value of screw rotor diverse location profile by data acquisition module, result of calculation is saved as to accessible data; The maximal value of measuring and minimum value are done the poor precision that the screw rotor end cuts shape that is.
2. a kind of method that laser detection screw rotor end cuts shape as claimed in claim 1 is characterized in that in step (1) described screw rotor end cuts the shape equation and comprises each data point parameter and helix parameter.
3. the method for cutting shape as claim 1 laser detection screw rotor end, is characterized in that in step (2), and the laser of described laser displacement sensor penetrates direction and is parallel to X-axis; Described platform cuts the shape profile along X, Y-direction interlock for detection of the screw rotor end, and platform moves the profile for detection of the screw rotor diverse location along the Z direction, and the mobile accuracy of the platform of described movement is higher than 1 μ m.
4. the method for cutting shape as claim 1 laser detection screw rotor end, 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, but and to make the normal vector of measured point and laser penetrate direction be that the angle of directions X is in the angular range (α, α) of laser displacement sensor Measurement accuracy.
5. the method for cutting shape as claim 1 laser detection screw rotor end is characterized in that described coordinate transform comprises in step (4):
A) the screw rotor end cuts the shape coordinate system and does the rotational transform of rotation alpha angle around Z ';
B) the laser displacement sensor coordinate on mobile platform is done corresponding translation transformation;
C), according to the graph transformation theory, calculate the theoretical normal vector that cuts 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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Cited By (8)

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Publication number Priority date Publication date Assignee Title
CN105651222A (en) * 2016-02-25 2016-06-08 上海宇航系统工程研究所 Method and system for testing long-axis radial run-out and symmetry degree of wave generator
CN106767606A (en) * 2017-03-21 2017-05-31 重庆大学 Quimby pump rotor interference detection method based on rigging error
CN108088389A (en) * 2018-02-01 2018-05-29 深圳大学 A kind of rotary double excitation contour measuring method, storage device and measuring device
CN109500451A (en) * 2017-09-14 2019-03-22 利勃海尔齿轮技术股份有限公司 For automatically determining the method for having the geometric dimension of the tool of machining area of screw flight shape
CN111288893A (en) * 2020-04-01 2020-06-16 厦门大学 Screw rotor laser measurement trajectory planning method under multi-factor constraint
CN112082445A (en) * 2020-09-16 2020-12-15 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
WO2021003928A1 (en) * 2019-07-09 2021-01-14 东莞市三姆森光电科技有限公司 Constant linear velocity control method for detecting contour of workpiece
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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Cited By (10)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN105651222A (en) * 2016-02-25 2016-06-08 上海宇航系统工程研究所 Method and system for testing long-axis radial run-out and symmetry degree of wave generator
CN106767606A (en) * 2017-03-21 2017-05-31 重庆大学 Quimby pump rotor interference detection method based on rigging error
CN109500451A (en) * 2017-09-14 2019-03-22 利勃海尔齿轮技术股份有限公司 For automatically determining the method for having the geometric dimension of the tool of machining area of screw flight shape
CN109500451B (en) * 2017-09-14 2022-05-10 利勃海尔齿轮技术股份有限公司 Method for automatically determining the geometry of a tool with a threaded spindle-shaped machining region
CN108088389A (en) * 2018-02-01 2018-05-29 深圳大学 A kind of rotary double excitation contour measuring method, storage device and measuring device
WO2021003928A1 (en) * 2019-07-09 2021-01-14 东莞市三姆森光电科技有限公司 Constant linear velocity control method for detecting contour of workpiece
CN111288893A (en) * 2020-04-01 2020-06-16 厦门大学 Screw rotor laser measurement trajectory planning method under multi-factor constraint
CN112082445A (en) * 2020-09-16 2020-12-15 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
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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