CN106382909B - A method of promoting fixed bridge plate span level meter measuring straightness error precision - Google Patents
A method of promoting fixed bridge plate span level meter measuring straightness error precision Download PDFInfo
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B21/00—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
- G01B21/22—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring angles or tapers; for testing the alignment of axes
- G01B21/24—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring angles or tapers; for testing the alignment of axes for testing alignment of axes
Abstract
The present invention relates to the methods for promoting fixed bridge plate span level meter measuring straightness error precision, including：It determines that bridge plate drags spacing, and marks the position of each measuring point on tested straight line；Two measuring point lines where obtaining the front and back bearing of bridge plate are the inclination angle for measuring segmentation relative measurement basal plane；Each measuring point is divided into the series of the measurement using different measuring points as the i.e. reference point of initial measuring point；It obtains each measuring point in different measurement series and corresponds to the Z-direction grid deviation value of reference point relative to it；Obtain Z-direction grid deviation value of the different measurement serial reference points relative to tested straight line initial end measuring point；Obtain Z-direction grid deviation value of each measuring point relative to tested straight line initial end measuring point；Carry out straightness error analysis.Spacing is dragged by reducing bridge plate in measurement process, the measurement being actually tested on straight line under the conditions of fixed bridge plate span is effectively increased to count, under level meter scale division value and bridge plate span permanence condition, so that the measurement accuracy of the straightness error of practical tested straight line is obtained and effectively promoted.
Description
Technical field
The present invention relates to the measuring straightness error technical field in engineering survey, especially a kind of fixed bridge plate of promotion across
Method away from level meter measuring straightness error precision.
Background technology
Main project one of of the straightness error as form error, it reflects the not straight journey of measured surface outline element
Degree, its size has a direct impact the interchangeability and product quality of parts, thus cost-effective realization straightness error
Accurately inspection it is most important.Straightness error refers to variation of the practical tested straight line to its ideal line.Straightness error
Traditional measurement method mainly have light gap method, signing method, level meter method etc., wherein light gap method is mainly used for smaller to size
Grinding or lapped face measure；Signing method is a kind of linear dimensional measurement method, only can measure tested straight line in the horizontal plane
Straightness error；The straightness error level meter indirect method of measurement is because its is easy to operate, easy to use, the quilt in Practical Project measurement
Extensive utilization.
During providing measuring straightness error in GB/T 11336-2004 standards, the bridge plate for being fixed with level meter is put
Set on tested straight line, etc. spans tandem array drag bridge plate, i.e. bridge plate dragging spacing is equal to bridge plate span.Therefore, one
Determine in range, level meter scale division value is constant, and bridge plate span is smaller, measures more, the straightness error of the tested straight line of gained of counting
Closer to true value.But existing level instrument is mostly fixed bridge plate span, this makes straight line of the level meter to practical tested straight line
The reflection capability of error actual value is spent, measuring straightness error precision is poor.
Invention content
The purpose of the present invention is to provide one kind dragging spacing by reducing bridge plate in measurement process, is effectively increased fixation
The measurement points being actually tested under the conditions of bridge plate span on straight line make the measurement accuracy of the straightness error of practical tested straight line obtain
The method for obtaining the fixed bridge plate span level meter measuring straightness error precision of the promotion effectively promoted.
To achieve the above object, present invention employs following technical schemes：A kind of fixed bridge plate span level meter of promotion is straight
The method of dimension error measure precision, this method include the steps that following order：
(1) tested straight line is substantially tuned into level with level meter；
(2) it determines that bridge plate drags spacing d according to tested straight length l and bridge plate span L, and is marked respectively on tested straight line
The position x of measuring pointi=id, wherein i=0,1,2 ..., m,L=nd, n are the integer not less than 2；Wherein,Indicate that quotient's rounding to being tested straight length l and bridge plate dragging spacing d, L=nd indicate that bridge plate span L drags for bridge plate
N times of dynamic spacing d；
(3) level meter is fixed on bridge plate, and adjusts the error of zero for being fixed on level meter on bridge plate；
(4) bridge plate is placed in one end of tested straight line, bridge plate is moved paragraph by paragraph by point position along tested straight line, obtains bridge plate
Two measuring point lines where front and back bearing measure segmentation xi-1~xi+n-1The inclined angle alpha of relative measurement basal planei, wherein i=1,
2,…,m-n+1；
(5) each measuring point is divided into measuring point xjMeasurement series as initial measuring point, that is, reference pointWherein j
=0,1,2 ..., n-1, k=0,1,2 ..., r,0≤j+kn≤m；
(6) by different measurement series of XjFrom the initial measuring point x of correspondencejStart each level meter for measuring segmentation by measurement direction
Indication summation phase adduction is converted into linear value, obtains different measurement series of XjIn each measuring point xj+knReference point x is corresponded to relative to itj
Z-direction grid deviation valuezj=0, wherein j=0,1,2 ..., n-1, k=1,2 ..., r, 0
＜ j+kn≤m, αj+pn+1To measure series of XjMiddle pth section measures segmentation xj+pn~xj+(p+1)nThe inclination angle of relative measurement basal plane, p
=0,1,2 ..., k-1, K=τ L, τ are level meter scale division value；Measure series of X0In each measuring point xknReference point is corresponded to relative to it
That is x0Z-direction grid deviation value be defined as zkn, and define z0=0；
(7) to be tested straight line initial end measuring point x0For the measurement series of X of unified reference point0In each measuring point be Interpolation Nodes,
Node is relative to unified reference point x0Z-direction grid deviation value be respective function value, obtained using cubic spline interpolation different
Measure serial reference point xjRelative to unified reference point x0Z-direction grid deviation value Δ zj, Δ z0=0, j=1,2 ..., n-1；
(8) by each measuring point relative to the Z-direction grid deviation value z for measuring serial reference point where itj+knWith above-mentioned acquisition
The reference point is relative to unified reference point x0Z-direction grid deviation value Δ zjIt is added, obtains each measuring point relative to unified reference point x0
Z-direction grid deviation value z 'j+kn, wherein j=0,1,2 ..., n-1, k=0,1,2 ..., r, 0≤j+kn≤m；
(9) each measuring point obtained according to step (8) is relative to unified reference point x0X to coordinate value xiWith Z-direction grid deviation
Value z 'i, carry out straightness error analysis, wherein i=0,1,2 ..., m.
The step (3) specifically refers to：Level meter is fixed on bridge plate, bridge plate is placed on stable platform, rotation
Level meter dial makes two bubbles overlap to obtain first reading α, and bridge plate is then rotated 180 degree, original position is put back to, rotates water again
Level dial makes two bubbles overlap to obtain second reading β, thenIt is as fixed on the error of zero of level meter on bridge plate,
Zero drift value is aligned with cursor line, then by screws tighten, the error of zero of level meter on bridge plate is fixed in adjustment.
In the step (4), the measurement basal plane is Natural Water plane or vertical plane.
The step (7) includes following sub-step：
Step (7.1)：To be tested straight line initial end measuring point x0And measure series of X0In other measuring points xknFor Interpolation Nodes, knot
The opposite reference point x of point0Z-direction grid deviation value be respective function value, obtain various boundary under cubic spline interpolation letter
Number S (x), Sk(x)=akx3+bkx2+ckx+dk, Sk(x) it is subinterval x=[x(k-1)n,xkn] on cubic spline functions,
ak、bk、ck、dkFor cubic spline functions coefficient, k=1,2 ..., r；S (x) is cubic spline interpolation letter on entire section
Number, it includes multiple in different subintervalsOn cubic spline functions Sk(x)；S1(x) it indicates in son
Section x=[x0,xn] cubic spline functions；
Step (7.2)：Due to each measurement serial reference point xjIt is respectively positioned on subinterval x=[x0,xn] in, therefore by different surveys
Measure serial reference point xjSubstitute into the cubic spline functions S that step (7.1) obtains1(x), you can obtain different measurement series ginsengs
Examination point xjRelative to tested straight line initial end measuring point x0Z-direction grid deviation value Δ zj, j=0,1,2 ..., n-1.
The step (9) includes following sub-step：
Step (9.1)：Each measuring point is relative to unified reference point x on the tested straight line of reality obtained according to step (8)0X
To coordinate value xiWith Z-direction grid deviation value zi', obtain the ideal line for meeting minimal condition：Z=ax+b, wherein i=0,1,
2 ..., m, a, b are ideal line coefficient；
Step (9.2)：Seek each measuring point xiDeviation d relative to the ideal line obtained in step (9.1)iIn most
Big value dmaxWith minimum value dmin, then it is tested the straightness error f=d of straight linemax-dmin, wherein di=z 'i-(axi+ b), i=0,
1,2,…,m。
As shown from the above technical solution, indirect with straightness error level meter specified in GB/T 11336-2004 standards
Mensuration is compared, and beneficial effects of the present invention are embodied in：Present invention straight line specified in GB/T 11336-2004 standards
It spends on the basis of the error level instrument indirect method of measurement, the method for proposing to drag spacing by reducing bridge plate in measurement process, effectively
It increases the measurement being actually tested on straight line under the conditions of fixed bridge plate span to count, solves part by cubic spline interpolation
The problem of measuring point is lacked relative to the i.e. unified reference point Z-direction grid deviation value of tested straight line initial end measuring point, passes through minimal condition
Principle carries out straightness error analysis, under level meter scale division value and bridge plate span permanence condition, makes the straight of practical tested straight line
The measurement accuracy of dimension error, which obtains, effectively to be promoted.
Description of the drawings
Fig. 1 is flow chart of the method for the present invention；
Measurement result is, according to the requirement of bridge plate tandem array in GB/T 11336-2004 standards, is divided into not by Fig. 2,3
After measurement series with measuring point as initial measuring point, that is, reference point, each measuring point is corresponded to relative to it in the different measurement series of acquisition
The Z-direction grid deviation value of reference point；
Fig. 4 is straightness error curve graph.
Specific implementation mode
As shown in Figure 1, a kind of method promoting fixed bridge plate span level meter measuring straightness error precision, this method packet
The step of including following order：
(1) tested straight line is substantially tuned into level with level meter；
(2) it determines that bridge plate drags spacing d according to tested straight length l and bridge plate span L, and is marked respectively on tested straight line
The position x of measuring pointi=id, wherein i=0,1,2 ..., m,L=nd, n are the integer not less than 2；Wherein,Indicate that quotient's rounding to being tested straight length l and bridge plate dragging spacing d, L=nd indicate that bridge plate span L drags for bridge plate
N times of dynamic spacing d；
(3) level meter is fixed on bridge plate, and adjusts the error of zero for being fixed on level meter on bridge plate；
(4) bridge plate is placed in one end of tested straight line, bridge plate is moved paragraph by paragraph by point position along tested straight line, obtains bridge plate
Two measuring point lines where front and back bearing measure segmentation xi-1~xi+n-1The inclined angle alpha of relative measurement basal planei, wherein i=1,
2,…,m-n+1；
(5) each measuring point is divided into measuring point xjMeasurement series as initial measuring point, that is, reference pointWherein j
=0,1,2 ..., n-1, k=0,1,2 ..., r,0≤j+kn≤m；
(6) by different measurement series of XjFrom the initial measuring point x of correspondencejStart each level meter for measuring segmentation by measurement direction
Indication summation phase adduction is converted into linear value, obtains different measurement series of XjIn each measuring point xj+knReference point x is corresponded to relative to itj
Z-direction grid deviation valuezj=0, wherein j=0,1,2 ..., n-1, k=1,2 ..., r, 0
＜ j+kn≤m, αj+pn+1To measure series of XjMiddle pth section measures segmentation xj+pn~xj+(p+1)nThe inclination angle of relative measurement basal plane, p
=0,1,2 ..., k-1, K=τ L, τ are level meter scale division value；Measure series of X0In each measuring point xknReference point is corresponded to relative to it
That is x0Z-direction grid deviation value be defined as zkn, and define z0=0；
(7) to be tested straight line initial end measuring point x0For the measurement series of X of unified reference point0In each measuring point be Interpolation Nodes,
Node is relative to unified reference point x0Z-direction grid deviation value be respective function value, obtained using cubic spline interpolation different
Measure serial reference point xjRelative to unified reference point x0Z-direction grid deviation value Δ zj, Δ z0=0, j=1,2 ..., n-1；
(8) by each measuring point relative to the Z-direction grid deviation value z for measuring serial reference point where itj+hnWith above-mentioned acquisition
The reference point is relative to unified reference point x0Z-direction grid deviation value Δ zjIt is added, obtains each measuring point relative to unified reference point x0
Z-direction grid deviation value z 'j+kn, wherein j=0,1,2 ..., n-1, k=0,1,2 ..., r, 0≤j+kn≤m；
(9) each measuring point obtained according to step (8) is relative to unified reference point x0X to coordinate value xiWith Z-direction grid deviation
Value zi', carry out straightness error analysis, wherein i=0,1,2 ..., m.
The step (3) specifically refers to：Level meter is fixed on bridge plate, bridge plate is placed on stable platform, rotation
Level meter dial makes two bubbles overlap to obtain first reading α, and bridge plate is then rotated 180 degree, original position is put back to, rotates water again
Level dial makes two bubbles overlap to obtain second reading β, thenIt is as fixed on the error of zero of level meter on bridge plate,
Zero drift value is aligned with cursor line, then by screws tighten, the error of zero of level meter on bridge plate is fixed in adjustment.
In the step (4), the measurement basal plane is Natural Water plane or vertical plane.
The step (7) includes following sub-step：
Step (7.1)：To be tested straight line initial end measuring point x0And measure series of X0In other measuring points xknFor Interpolation Nodes, knot
The opposite reference point x of point0Z-direction grid deviation value be respective function value, obtain various boundary under cubic spline interpolation letter
Number S (x), Sk(x)=akx3+bkx2+ckx+dk, Sk(x) it is subinterval x=[x(k-1)n,xkn] on cubic spline functions,
ak、bk、ck、dkFor cubic spline functions coefficient, k=1,2 ..., r；S (x) is cubic spline interpolation letter on entire section
Number, it includes multiple in different subintervalsOn cubic spline functions Sk(x)；S1(x) it indicates in son
Section x=[x0,xn] cubic spline functions；
Step (7.2)：Due to each measurement serial reference point xjIt is respectively positioned on subinterval x=[x0,xn] in, therefore by different surveys
Measure serial reference point xjSubstitute into the cubic spline functions S that step (7.1) obtains1(x), you can obtain different measurement series ginsengs
Examination point xjRelative to tested straight line initial end measuring point x0Z-direction grid deviation value Δ zj, j=0,1,2 ..., n-1.
The step (9) includes following sub-step：
Step (9.1)：Each measuring point is relative to unified reference point x on the tested straight line of reality obtained according to step (8)0X
To coordinate value xiWith Z-direction grid deviation value z 'i, obtain the ideal line for meeting minimal condition：Z=ax+b, wherein i=0,1,
2 ..., m, a, b are ideal line coefficient；
Step (9.2)：Seek each measuring point xiDeviation d relative to the ideal line obtained in step (9.1)iIn most
Big value dmaxWith minimum value dmin, then it is tested the straightness error f=d of straight linemax-dmin, wherein di=z 'i-(axi+ b), i=0,
1,2,…,m。
Embodiment one
The present embodiment has carried out the research of straightness error for the straight line that a long l is 400mm.
Here is the specific implementation step of the present embodiment：
In the present embodiment, level meter scale division value τ is 0.01mm/1m, bridge plate span L is 100mm, will be tested straight with level meter
Line is substantially tuned into level, and bridge plate dragging spacing d is selected as 50mm, the position of each measuring point is marked on tested straight line, and adjustment is fixed on
The error of zero of level meter on bridge plate moves bridge plate paragraph by paragraph along tested straight line since one end of tested straight line by point position,
Two measuring point lines, that is, each measurement segmentation relative measurement basal plane (Natural Water plane or vertical plane) where obtaining the front and back bearing of bridge plate
Inclination angle, record are as follows：
Table 1 respectively measures the inclination angle data record of segmentation relative measurement basal plane
According to the requirement of bridge plate tandem array in GB/T 11336-2004 standards, measurement result is divided into different measuring points
As the measurement series of initial measuring point, that is, reference point, respectively table 2 and table 3.
Table 2 is with measuring point x0Measurement series as a reference point=0mm
Table 3 is with measuring point x1Measurement series as a reference point=50mm
Calculate separately table 2, table 3 measures each measuring point of series and corresponds to reference point x relative to it0=0mm and x1The Z-direction of=50mm
Grid deviation value zi(i=0,1 ..., 8), respectively as shown in Figures 2 and 3.
Table 3 is obtained using cubic spline interpolation and measures serial reference point x1=50mm is surveyed relative to tested straight line initial end
Point x0The Z-direction grid deviation value of=0mm, detailed process are as follows.
Measuring point x in series is measured with table 22k(k=0,1 ..., 4) is Interpolation Nodes, and node is with respect to reference point x0Z-direction sit
Mark deviation is respective function value, and subinterval x=[x are obtained under natural boundary conditions0,x2] on cubic spline functions, knot
Fruit is S1(x)=- 1.0434 × 10-5x3+0.8093x.Table 3 is measured into serial reference point x1Bring S into1(x) in, measuring point x is obtained1
Relative to tested straight line initial end measuring point x0The Z-direction grid deviation value Δ z of i.e. unified reference point1=39.2um.
Acquisition table 2 measures serial measuring point x2k(k=0,1 ..., 4) relative to unified reference point x0Z-direction grid deviation value
z2′k=z2k, table 3 measures serial measuring point x1+2kRelative to unified reference point x0Z-direction grid deviation value z '1+2k=z1+2k+Δz1。
According to the x of above-mentioned acquisitioniWith z 'i, wherein i=0,1 ..., 8, select least-squares algorithm acquisition to meet minimal condition
Ideal line：Z=0.1090x+41.0822 obtains each measuring point xiDeviation d relative to ideal lineiIn maximum value
dmaxWith minimum value dmin, then it is tested the straightness error f=d of straight linemax-dmin=74.44um.
It is as shown in Figure 4 to draw straightness error curve.
In the present embodiment, in order to verify the validity of measuring straightness error method disclosed by the invention, for same quilt
Straight line is surveyed, according to measuring straightness error step described in GB/T 11336-2004 standards, i.e. bridge plate dragging spacing is equal to bridge plate
Span obtains the straightness error f for being tested straight line under the conditions of bridge plate span L=50mm0=73.95um, and as about
Determine true value, under the conditions of bridge plate span L=100mm, obtains the straightness error f '=63.68um for being tested straight line, level meter point
Angle value is constant.
Above-mentioned straightness error result and its measurement error (difference of measured value and conventional true value) list is as shown in table 4.
4 measuring straightness error result of table and its measurement error
Known by table 4, when bridge plate span L is fixed as 100mm, compared to the measurand obtained under the conditions of d=100mm
Straightness error, the measurement accuracy of the straightness error of the tested straight line obtained under the conditions of d=50mm promotes 9.78um, says
The bright method disclosed by the invention for promoting fixed bridge plate span level meter measuring straightness error precision, can make practical tested straight line
Straightness error measurement accuracy obtain effectively promoted in conclusion the present invention provides in GB/T 11336-2004 standards
The straightness error level meter indirect method of measurement on the basis of, propose the side for dragging spacing by reducing bridge plate in measurement process
Method effectively increases the measurement being actually tested on straight line under the conditions of fixed bridge plate span and counts, passes through cubic spline interpolation solution
The problem of part measuring point of having determined is lacked relative to the i.e. unified reference point Z-direction grid deviation value of tested straight line initial end measuring point, passes through
Least condition principle carries out straightness error analysis, under level meter scale division value and bridge plate span permanence condition, makes practical tested
The measurement accuracy of the straightness error of straight line, which obtains, effectively to be promoted.
Claims (5)
1. a kind of method promoting fixed bridge plate span level meter measuring straightness error precision, this method includes following order
Step：
(1) tested straight line is substantially tuned into level with level meter；
(2) it determines that bridge plate drags spacing d according to tested straight length l and bridge plate span L, and each measuring point is marked on tested straight line
Position xi=id, wherein i=0,1,2 ..., m,L=nd, n are the integer not less than 2；Wherein,Table
Show that quotient's rounding to being tested straight length l and bridge plate dragging spacing d, L=nd indicate that bridge plate span L is the n that bridge plate drags spacing d
Times；
(3) level meter is fixed on bridge plate, and adjusts the error of zero for being fixed on level meter on bridge plate；
(4) bridge plate is placed in one end of tested straight line, bridge plate is moved paragraph by paragraph by point position along tested straight line, before and after obtaining bridge plate
Two measuring point lines where bearing measure segmentation xi-1~xi+n-1The inclined angle alpha of relative measurement basal planei, wherein i=1,2 ..., m-n
+1；
(5) each measuring point is divided into measuring point xjMeasurement series as initial measuring point, that is, reference pointWherein j=0,
1,2 ..., n-1, k=0,1,2 ..., r,0≤j+kn≤m；
(6) by different measurement series of XjFrom the initial measuring point x of correspondencejStart each level meter reading for measuring segmentation by measurement direction
Accumulative phase adduction is converted into linear value, obtains different measurement series of XjIn each measuring point xj+knReference point x is corresponded to relative to itjZ-direction
Grid deviation valueWherein, j=0,1,2 ..., n-1, k=1,2 ..., r, 0 ＜ j+
Kn≤m, αj+pn+1To measure series of XjMiddle pth section measures segmentation xj+pn~xj+(p+1)nThe inclination angle of relative measurement basal plane, p=0,
1,2 ..., k-1, K=τ L, τ are level meter scale division value；Measure series of X0In each measuring point xknReference point, that is, x is corresponded to relative to it0
Z-direction grid deviation value be defined as zkn, and define z0=0；
(7) to be tested straight line initial end measuring point x0For the measurement series of X of unified reference point0In each measuring point be Interpolation Nodes, node
Relative to unified reference point x0Z-direction grid deviation value be respective function value, different measurements are obtained using cubic spline interpolation
Serial reference point xjRelative to unified reference point x0Z-direction grid deviation value Δ zj, Δ z0=0, j=1,2 ..., n-1；
(8) by each measuring point relative to the Z-direction grid deviation value z for measuring serial reference point where itj+knWith the reference of above-mentioned acquisition
Point is relative to unified reference point x0Z-direction grid deviation value Δ zjIt is added, obtains each measuring point relative to unified reference point x0Z-direction
Grid deviation value zj′+kn, wherein j=0,1,2 ..., n-1, k=0,1,2 ..., r, 0≤j+kn≤m；
(9) each measuring point obtained according to step (8) is relative to unified reference point x0X to coordinate value xiWith Z-direction grid deviation value
zi', carry out straightness error analysis, wherein i=0,1,2 ..., m.
2. the method according to claim 1 for promoting fixed bridge plate span level meter measuring straightness error precision, special
Sign is：The step (3) specifically refers to：Level meter is fixed on bridge plate, bridge plate is placed on stable platform, rotates water
Level dial makes two bubbles overlap to obtain first reading α, and bridge plate is then rotated 180 degree, puts back to original position, rotation is horizontal again
Instrument dial makes two bubbles overlap to obtain second reading β, thenIt is as fixed on the error of zero of level meter on bridge plate, it will
Zero drift value is aligned with cursor line, and then by screws tighten, the error of zero of level meter on bridge plate is fixed in adjustment.
3. the method according to claim 1 for promoting fixed bridge plate span level meter measuring straightness error precision, special
Sign is：In the step (4), the measurement basal plane is Natural Water plane or vertical plane.
4. the method according to claim 1 for promoting fixed bridge plate span level meter measuring straightness error precision, special
Sign is：The step (7) includes following sub-step：
Step (7.1)：To be tested straight line initial end measuring point x0And measure series of X0In other measuring points xknFor Interpolation Nodes, node phase
To reference point x0Z-direction grid deviation value be respective function value, obtain various boundary under cubic spline functions S
(x), Sk(x)=akx3+bkx2+ckx+dk, Sk(x) it is subinterval x=[x(k-1)n,xkn] on cubic spline functions, ak、
bk、ck、dkFor cubic spline functions coefficient, k=1,2 ..., r；S (x) is cubic spline functions on entire section,
Including multiple in different subintervalsOn cubic spline functions Sk(x)；S1(x) it indicates in subinterval x
=[x0,xn] cubic spline functions；
Step (7.2)：Due to each measurement serial reference point xjIt is respectively positioned on subinterval x=[x0,xn] interior, therefore be by different measurements
Row reference point xjSubstitute into the cubic spline functions S that step (7.1) obtains1(x), you can obtain different measurement serial reference points
xjRelative to tested straight line initial end measuring point x0Z-direction grid deviation value Δ zj, j=0,1,2 ..., n-1.
5. the method according to claim 1 for promoting fixed bridge plate span level meter measuring straightness error precision, special
Sign is：The step (9) includes following sub-step：
Step (9.1)：Each measuring point is relative to unified reference point x on the tested straight line of reality obtained according to step (8)0X to coordinate
Value xiWith Z-direction grid deviation value zi', obtain the ideal line for meeting minimal condition：Z=ax+b, wherein i=0,1,2 ..., m, a,
B is ideal line coefficient；
Step (9.2)：Seek each measuring point xiDeviation d relative to the ideal line obtained in step (9.1)iIn maximum value
dmaxWith minimum value dmin, then it is tested the straightness error f=d of straight linemax-dmin, wherein di=z 'i-(axi+ b), i=0,1,
2,…,m。
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPS57207812A (en) * | 1981-06-17 | 1982-12-20 | Mitsubishi Heavy Ind Ltd | Straightness measuring method |
| CN104714478A (en) * | 2014-12-31 | 2015-06-17 | 哈尔滨工业大学 | Heavy double-column vertical lathe cross beam gravity deformation prediction method based on finite difference method |
| CN104748702A (en) * | 2015-03-26 | 2015-07-01 | 北京工业大学 | Rapid measuring and error compensation method for linearity error of linear guide rail |
Family Cites Families (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPH0786405B2 (en) * | 1988-03-31 | 1995-09-20 | ティーディーケイ株式会社 | Straightness measuring device |
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Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JPS57207812A (en) * | 1981-06-17 | 1982-12-20 | Mitsubishi Heavy Ind Ltd | Straightness measuring method |
| CN104714478A (en) * | 2014-12-31 | 2015-06-17 | 哈尔滨工业大学 | Heavy double-column vertical lathe cross beam gravity deformation prediction method based on finite difference method |
| CN104748702A (en) * | 2015-03-26 | 2015-07-01 | 北京工业大学 | Rapid measuring and error compensation method for linearity error of linear guide rail |
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