CN113536231B - Data processing method for measuring rail gauge of crown block - Google Patents
Data processing method for measuring rail gauge of crown block Download PDFInfo
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- CN113536231B CN113536231B CN202110643163.1A CN202110643163A CN113536231B CN 113536231 B CN113536231 B CN 113536231B CN 202110643163 A CN202110643163 A CN 202110643163A CN 113536231 B CN113536231 B CN 113536231B
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
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- G06F17/10—Complex mathematical operations
- G06F17/18—Complex mathematical operations for evaluating statistical data, e.g. average values, frequency distributions, probability functions, regression analysis
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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
- G01B21/16—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
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- G06—COMPUTING; CALCULATING OR COUNTING
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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
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 process of adopting the total station to measure, the gauge is measured by directly using the steel ruler to mark a measuring point every two meters from the end head on one side of the track, but because of the artificial error in the process of using the steel ruler to measure and the self error in the process of measuring the steel ruler, the error of a measuring result is larger, and the measuring steps are more 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 rail by using a total station and recording measurement data;
12 Fit the tracks 1 and 2 respectively by using a least square method, and the calculation formula of k and b is as follows:
13 Using least squares) to fit a transverse location line connecting the end measurement points of track 1 and track 2, the equation for the transverse location line being Y = k 3 x+b 3 ；
14 With rail 1 as reference, the rail 2 measurements are respectively entered into the equation Y = k for the transverse location line 3 x+b 3 So as to obtain five equations parallel to the transverse positioning line;
15 Equation Y = k) for paralleling five transverse alignment lines to the respective equation Y = k for track 1 1 x+b 1 Coordinate values of five intersection points are solved simultaneously;
16 Solving for track gage C using a point-to-point distance equation 1 、C 2 、C 3 、C 4 、C 5 ；
The point-to-point distance formula is:
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 a station;
3) Measuring a crane track by using a total station (approximately 2 meters measuring point without accurate positioning by a steel ruler), and recording measurement data, wherein the measurement coordinate of the track 1 is (x 1) 1 、y1 1 )(x1 2 、y1 2 )(x1 3 、y1 3 )(x1 4 、y1 4 )(x1 5 、y1 5 ) Track 2 has a measurement coordinate of (x 2) 1 、y2 1 )(x2 2 、y2 2 )(x2 3 、y2 3 )(x2 4 、y2 4 )(x2 5 、y2 5 )；
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 = k 1 x+b 1 The equation for track 2 is Y = k 2 x+b 2 The calculation formula of k and b is as follows:
in the formula:
k is the slope of the linear equation of the track; wherein: k is a radical of 1 Is the slope of the linear equation of track 1, k 2 Is the slope of the linear equation of track 2, k 3 Is the slope of the linear equation of the transverse positioning line;
b, intercept of a track linear equation; wherein: b 1 Is the intercept of the linear equation of track 1, b 2 Is the track 2 linear equation intercept, b 3 Is the intercept of a linear equation of a transverse positioning line;
n is the total number of each track coordinate measurement;
X i measuring north coordinate value, y, for the ith track i Measuring 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; x1 i Measuring north coordinate value, y1, for the ith track 1 i Measuring the east coordinate value, X2, for the i-th track 1 i Measuring north coordinate value, y2, for the i-th track 2 i East coordinate values are measured for the ith track 2.
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 = k 3 x+b 3 The calculation formula is as above.
6) Taking the track 1 as a reference, measuring the result (x 2) of the track 2 1 、y2 1 )(x2 2 、y2 2 )(x2 3 、y2 3 )(x2 4 、y2 4 )(x2 5 、y2 5 ) The equation introduced into the transverse orientation lines, respectively, is Y = k 3 x+b 3 (k 3 Unchanged), b can be obtained 31 ，b 32 、b 33 、b 34 、b 35 Five values, so that Y = k can be obtained 3 x+b 31 、Y＝k 3 x+b 32 、Y＝k 3 x+b 33 、Y＝k 3 x+b 34 、Y＝k 3 x+b 35 Five equations parallel to the transverse orientation lines.
7) Let Y = k 3 x+b 31 、Y＝k 3 x+b 32 、Y＝k 3 x+b 33 、Y＝k 3 x+b 34 、Y＝k 3 x+b 35 Equation Y = k for orbit 1, respectively 1 x+b 1 Coordinate values of five intersection points obtained by simultaneous solution are respectively (x 1 intersection) 1 Y1 cross 1 ) (x 1 crossing) 2 Y1 cross 2 ) (x 1 crossing) 3 Y1 cross 3 ) (x 1 crossing) 4 Y1 cross 4 ) (x 1 crossing) 5 Y1 cross 5 )。
8) Solved by using the point-to-point distance formula (x 1 intersection) 1 Y1 intersection 1 ) And (x 2) 1 、y2 1 ) (x 1 crossing) 2 Y1 cross 2 ) And (x 2) 2 、y2 2 ) (x 1 crossing) 3 Y1 cross 3 ) And (x 2) 3 、y2 3 ) (x 1 crossing) 4 Y1 cross 4 ) And (x 2) 4 、y2 4 ) (x 1 crossing) 5 Y1 cross 5 ) And (x 2) 5 、y2 5 ) Track gauge of C 1 、C 2 、C 3 、C 4 、C 5 。
The point-to-point distance formula is:
in the formula:
ci is the track distance of the ith coordinate value.
9) By subtracting the design track gauge values from the track gauges C1, C2, C3, C4, and C5, the track gauge deviation can be obtained.
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 (1)
1. A data processing method for measuring the rail distance of a crown block is characterized by comprising the following steps: measuring by using a total station, processing the measurement data by using a least square method, respectively processing the measurement data of the track 1 and the track 2 by using the least square method, fitting a transverse positioning line of a connecting line of end measurement points of the track 1 and the track 2 by using the least square method, and obtaining an accurate measurement result after comprehensive analysis;
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:
5) Fitting a transverse positioning line of a connecting line of 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 as follows;
6) Taking the track 1 as a reference, respectively substituting the track 2 measurement results into an equation of a transverse positioning line
So as to obtain five equations parallel to the transverse positioning line;
7) The equations of the five parallel transverse positioning lines are respectively corresponding to the equation of the track 1
Are separated out simultaneouslyCoordinate values of five intersection points;
8) Solving for gauge C using a point-to-point distance formula 1 、C 2 、C 3 、C 4 、C 5 ；
The point-to-point distance formula is:
；
9) The track gauges C1, C2, C3, C4 and C5 are used for subtracting the designed track gauge value respectively, so that the track gauge can be obtained;
wherein:
k is the slope of the linear equation of the track; wherein: k is a radical of 1 Is the slope of the linear equation of track 1, k 2 Is the slope of the linear equation of track 2, k 3 Is the slope of the linear equation of the transverse orientation line and k 3 The change is not changed;
b, intercept of a track linear equation; wherein: b 1 Is the intercept of the linear equation of track 1, b 2 Is the track 2 linear equation intercept, b 3 Is the intercept of a linear equation of a transverse positioning line;
n is the total number of each track coordinate measurement;
X i measuring north coordinate value, y, for the ith track i Measuring 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; x1 i Measuring north coordinate value, y1, for the ith track 1 i Measuring the east coordinate value, X2, for the i-th track 1 i Measuring north coordinate value, y2, for the i-th track 2 i Measuring the east coordinate value for the ith track 2;
C i the track distance is the ith coordinate value.
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Citations (6)
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| 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 |
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| 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 |
Family Cites Families (1)
| Publication number | Priority date | Publication date | Assignee | Title |
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| 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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- 2021-06-09 CN CN202110643163.1A patent/CN113536231B/en active Active
Patent Citations (6)
| 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 |
Non-Patent Citations (2)
| Title |
|---|
| Rail Detection Based on LSD and the Least Square Curve Fitting;Yun-Shui Zheng 等;《International Journal of Automation and Computing》;20210228;全文 * |
| 基于最小二乘法曲线拟合的轨距参数测量方法;史红梅 等;《铁道学报》;20191215;第41卷(第12期);全文 * |
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