CN113536231A - Data processing method for measuring rail gauge of crown block - Google Patents

Data processing method for measuring rail gauge of crown block Download PDF

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CN113536231A
CN113536231A CN202110643163.1A CN202110643163A CN113536231A CN 113536231 A CN113536231 A CN 113536231A CN 202110643163 A CN202110643163 A CN 202110643163A CN 113536231 A CN113536231 A CN 113536231A
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track
measuring
transverse positioning
square method
gauge
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CN113536231B (en
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苏保全
王少春
吕斐
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Baotou Iron and Steel Group Co Ltd
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    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10—Complex mathematical operations
    • G06F17/18—Complex mathematical operations for evaluating statistical data, e.g. average values, frequency distributions, probability functions, regression analysis
    • 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
    • G01B21/16—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 distance of clearance between spaced objects
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
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Abstract

The invention discloses a data processing method for measuring the track gauge of a crown block, which adopts a total station to measure and a least square method to process measured data, not only needs to respectively process the measured data of a track 1 and a track 2 by using the least square method, but also needs to fit a transverse positioning line of a connecting line of end measuring points of the track 1 and the track 2 by using the least square method, and can obtain an accurate measuring result after comprehensive analysis. The invention aims to provide a data processing method for measuring the rail gauge of an overhead travelling crane, so that the measuring result is more accurate, and the measuring steps are simpler.

Description

Data processing method for measuring rail gauge of crown block
Technical Field
The invention relates to the field of industrial digital measurement, in particular to a data processing method for measuring the rail gauge of a crown block.
Background
The traditional crane gauge measurement adopts a steel ruler to measure or a total station to measure, and in the measurement process of the total station, the gauge is measured by directly using the steel ruler to mark a measuring point every two meters from the end of one side of a track, but because of the artificial error in the measurement process of the steel ruler and the large error in the measurement process of the steel ruler, the error of the measurement result is large, and the measurement steps are complicated.
Disclosure of Invention
The invention aims to provide a data processing method for measuring the rail gauge of an overhead travelling crane, so that the measuring result is more accurate, and the measuring steps are simpler.
In order to solve the technical problems, the invention adopts the following technical scheme:
a data processing method for measuring the track gauge of a crown block adopts a total station to measure and a least square method to process measured data, not only needs to respectively process the measured data of a track 1 and a track 2 by using the least square method, but also needs to fit a transverse positioning line of a connecting line of end measuring points of the track 1 and the track 2 by using the least square method, and can obtain an accurate measuring result after comprehensive analysis.
Further, the specific treatment steps are as follows:
9) firstly, erecting a total station to a proper position;
10) leveling the total station, and freely building the station;
11) measuring a crane track by using a total station, and recording measurement data;
12) and respectively fitting the track 1 and the track 2 by using a least square method, wherein the calculation formula of k and b is as follows:
Figure BDA0003108802460000021
Figure BDA0003108802460000022
13) fitting a transverse positioning line of a connecting line of the end measuring points of the track 1 and the track 2 by using a least square method, wherein the equation of the transverse positioning line is Y-k3x+b3；
14) Taking the track 1 as a reference, and respectively substituting the track 2 measurement results into an equation Y ═ k of a transverse positioning line3x+b3So as to obtain five equations parallel to the transverse positioning line;
15)the five equations parallel to the transverse positioning line are respectively equal to k in the equation Y of the track 11x+b1Coordinate values of five intersection points are solved simultaneously;
16) solving for gauge C using a point-to-point distance formula1、C2、C3、C4、C5；
The point-to-point distance formula is:
Figure BDA0003108802460000023
and (5) calculating the track gauge deviation.
Compared with the prior art, the invention has the beneficial technical effects that:
the measuring result is more accurate, and the measuring steps are simpler
Drawings
The invention is further illustrated in the following description with reference to the drawings.
Fig. 1 is a diagram illustrating a gauge measurement.
Detailed Description
The following describes the practice of the present invention in further detail with reference to the accompanying FIG. 1:
in order to achieve the purpose, the invention adopts a total station instrument to measure, and adopts a least square method to process measured data, not only the least square method is used to process the measured data of the track 1 and the track 2 respectively, but also the least square method is used to fit a transverse positioning line of a connecting line of end measuring points of the track 1 and the track 2, and an accurate measuring result can be obtained after comprehensive analysis, wherein the processing steps are as follows:
1) firstly, erecting a total station to a proper position;
2) leveling the total station, and freely building the station;
3) measuring a crane track by using a total station (approximately 2 meters measuring point is achieved, accurate positioning is carried out without a steel ruler), and recording measurement data, wherein the track 1 has a measurement coordinate of (x 1)1、y11)(x12、y12)(x13、y13)(x14、y14)(x15、y15) Orbit2 measurement coordinate is (x 2)1、y21)(x22、y22)(x23、y23)(x24、y24)(x25、y25)；
4) Respectively fitting the track 1 and the track 2 by using a least square method, and respectively calculating a linear equation, a slope k and an intercept b of the track, wherein the equation of the track 1 is Y-k1x+b1The equation for track 2 is Y ═ k2x+b2The calculation formula of k and b is as follows:
Figure BDA0003108802460000031
Figure BDA0003108802460000041
in the formula:
k is the slope of the linear equation of the track; wherein: k is a radical of1Is the slope of the linear equation of track 1, k2Is the slope of the linear equation of track 2, k3Is the slope of the linear equation of the transverse positioning line;
b, intercept of a track linear equation; wherein: b1Is the intercept of the linear equation of track 1, b2Is the track 2 linear equation intercept, b3Is the intercept of a linear equation of a transverse positioning line;
n is the total number of each track coordinate measurement;
Ximeasuring north coordinate value, y, for the ith trackiMeasuring an east coordinate value for the ith track; wherein: x is a representative value of north coordinates of the track 1, the track 2 and the transverse positioning line in a linear equation, and Y is a representative value of east coordinates of the track 1, the track 2 and the transverse positioning line in the linear equation; x1iMeasuring north coordinate value, y1, for the i-th track 1iMeasuring the east coordinate value for the i-th track 1, X2iMeasuring north coordinate value, y2, for the i-th track 2iThe east coordinate value is measured for the i-th track 2.
5) Lateral positioning of a line connecting end measuring points of a track 1 and a track 2 using the least squares methodFitting the line, and setting the equation of the transverse positioning line as Y ═ k3x+b3The calculation formula is as above.
6) Track 2 measurement (x 2) with track 1 as the reference1、y21)(x22、y22)(x23、y23)(x24、y24)(x25、y25) The equation introduced into the transverse orientation lines is Y-k3x+b3(k3Unchanged), b can be obtained31，b32、b33、b34、b35Five values, thereby obtaining Y ═ k3x+b31、Y＝k3x+b32、Y＝k3x+b33、Y＝k3x+b34、Y＝k3x+b35Five equations parallel to the transverse orientation lines.
7) Changing Y to k3x+b31、Y＝k3x+b32、Y＝k3x+b33、Y＝k3x+b34、Y＝k3x+b35Equation Y ═ k for track 1, respectively1x+b1Coordinate values of five intersection points obtained by simultaneous solution are respectively (x1 intersection)1Y1 intersection1) (X1 intersection)2Y1 intersection2) (X1 intersection)3Y1 intersection3) (X1 intersection)4Y1 intersection4) (X1 intersection)5Y1 intersection5)。
8) Solved using the point-to-point distance formula (intersection of x 1)1Y1 intersection1) And (x 2)1、y21) (x1 intersection)2Y1 intersection2) And (x 2)2、y22) (x1 intersection)3Y1 intersection3) And (x 2)3、y23) (x1 intersection)4Y1 intersection4) And (x 2)4、y24) (x1 intersection)5Y1 intersection5) And (x 2)5、y25) Track gauge of C1、C2、C3、C4、C5。
The point-to-point distance formula is:
Figure BDA0003108802460000051
in the formula:
ci is the track distance of the ith coordinate value.
9) The track gauge deviation can be obtained by subtracting the design track gauge values from the track gauges C1, C2, C3, C4, and C5, respectively.
The above-described embodiments are merely illustrative of the preferred embodiments of the present invention, and do not limit the scope of the present invention, and various modifications and improvements of the technical solutions of the present invention can be made by those skilled in the art without departing from the spirit of the present invention, and the technical solutions of the present invention are within the scope of the present invention defined by the claims.

Claims (2)

1. A data processing method for measuring the track gauge of an overhead traveling crane is characterized by comprising the following steps: the total station is adopted for measurement, the least square method is adopted for processing the measurement data, the least square method is used for processing the measurement data of the track 1 and the track 2 respectively, the least square method is used for fitting the transverse positioning line of the connecting line of the end measurement points of the track 1 and the track 2, and the accurate measurement result can be obtained after comprehensive analysis.
2. The data processing method for measuring the gauge of the crown block according to claim 1, characterized in that: the specific treatment steps are as follows:
1) firstly, erecting a total station to a proper position;
2) leveling the total station, and freely building the station;
3) measuring a crane track by using a total station, and recording measurement data;
4) and respectively fitting the track 1 and the track 2 by using a least square method, wherein the calculation formula of k and b is as follows:
Figure FDA0003108802450000011
Figure FDA0003108802450000012
5) fitting a transverse positioning line of a connecting line of the end measuring points of the track 1 and the track 2 by using a least square method, wherein the equation of the transverse positioning line is Y-k3x+b3；
6) Taking the track 1 as a reference, and respectively substituting the track 2 measurement results into an equation Y ═ k of a transverse positioning line3x+b3So as to obtain five equations parallel to the transverse positioning line;
7) the five equations parallel to the transverse positioning line are respectively equal to k in the equation Y of the track 11x+b1Coordinate values of five intersection points are solved simultaneously;
8) solving for gauge C using a point-to-point distance formula1、C2、C3、C4、C5；
The point-to-point distance formula is:
Figure FDA0003108802450000021
and (5) calculating the track gauge deviation.
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Citations (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103512507A (en) * 2013-08-20 2014-01-15 中国人民解放军63602部队 Rail-gauge measuring method of large-span steel rail
CN103743427A (en) * 2013-12-31 2014-04-23 江苏嘉钰新能源技术有限公司 Linear calibration method
CN105083320A (en) * 2015-05-15 2015-11-25 西南交通大学 Detection method and device of track regularity state
CN105133448A (en) * 2015-08-13 2015-12-09 广东工业大学 Device and method for calculating coordinate of track and coordinate of detected point
CN108534765A (en) * 2018-03-27 2018-09-14 株洲时代电子技术有限公司 A kind of track circuit coordinate measuring method
CN108759763A (en) * 2018-09-04 2018-11-06 上海宝冶建筑工程有限公司 A kind of long range parallel track degree measurement method and system
CN109579697A (en) * 2018-10-22 2019-04-05 西安理工大学 A kind of fragment-free track slab quick calculation method based on least square fitting

Patent Citations (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103512507A (en) * 2013-08-20 2014-01-15 中国人民解放军63602部队 Rail-gauge measuring method of large-span steel rail
CN103743427A (en) * 2013-12-31 2014-04-23 江苏嘉钰新能源技术有限公司 Linear calibration method
CN105083320A (en) * 2015-05-15 2015-11-25 西南交通大学 Detection method and device of track regularity state
CN105133448A (en) * 2015-08-13 2015-12-09 广东工业大学 Device and method for calculating coordinate of track and coordinate of detected point
CN108534765A (en) * 2018-03-27 2018-09-14 株洲时代电子技术有限公司 A kind of track circuit coordinate measuring method
CN108759763A (en) * 2018-09-04 2018-11-06 上海宝冶建筑工程有限公司 A kind of long range parallel track degree measurement method and system
CN109579697A (en) * 2018-10-22 2019-04-05 西安理工大学 A kind of fragment-free track slab quick calculation method based on least square fitting

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Title
YUN-SHUI ZHENG 等: "Rail Detection Based on LSD and the Least Square Curve Fitting", 《INTERNATIONAL JOURNAL OF AUTOMATION AND COMPUTING》 *
史红梅 等: "基于最小二乘法曲线拟合的轨距参数测量方法", 《铁道学报》 *

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