CN117494277A - Linear regulation and control method for large-span high-speed railway bridge track based on temperature deformation - Google Patents
Linear regulation and control method for large-span high-speed railway bridge track based on temperature deformation Download PDFInfo
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Abstract
The invention discloses a linear regulation and control method of a large-span high-speed railway bridge track based on temperature deformation, which belongs to the technical field of railway engineering and comprises the following steps: based on measured data of a large bridge to be regulated, a regression equation is utilized to quantitatively describe the trend of track linear parameters along with temperature change, a multi-temperature interval datum line adapting to the temperature deformation of the large bridge is constructed, a linear parameter basis is provided for regulation scheme formulation, further track smoothness optimization of 10m, 30m and 60m combined chord length is realized by establishing a combined chord length-based track smoothness optimization model, and regulation operation target line shape meeting the requirement of track smoothness control under the influence of temperature deformation is calculated. The invention fully overcomes the defect of insufficient control capability of the existing linear regulation and control method of the large-span bridge rail on the multi-chord length rail irregularity caused by temperature deformation, and can remarkably improve the maintenance quality of the ballasted rail of the large-span high-speed railway bridge.
Description
Technical Field
The invention relates to the technical field of railway engineering, in particular to a linear regulation and control method of a large-span high-speed railway bridge track based on temperature deformation.
Background
Along with the powerful construction of the high-speed railway, the bridge is taken as an important component of the railway, the design and construction technology level of the bridge is greatly improved, and the large-span high-speed railway bridge is generated and shows a rapid development trend worldwide. The line shape of the large-span bridge is dynamically deformed under the influence of environmental factors such as temperature, and the line shape on the bridge changes along with the dynamic deformation, especially the line shape vertical change under the influence of temperature is larger. If the initial line design is used for guiding the line smoothness regulation, on one hand, the track regulation amount is huge, and the track can not be regulated in place due to the limitation of the track structure; on the other hand, because the change amplitude of each point of the main span affected by temperature is different, the static long wave of the track is unsmooth, and the design specification and the maintenance rule requirements are difficult to meet.
The existing line shape regulating and controlling method for the large-span bridge mainly reduces the difference between the design reference and the actually measured line shape by locally regulating the design parameters of the longitudinal section of the line, the line shape regulating and controlling process is not effectively combined with the means of reference line reconstruction, combined string smoothness control and the like, and the method lacks sufficient consideration of complex factors such as construction deviation, large line deformation and the like, especially considers that the fluctuation range of the large-span bridge deformation is large in the long-term operation process, and adopts a single and fixed design reference as a target of track smoothness regulation and control, so that the track regulating quantity is overlarge and the maintenance operation requirement cannot be met. Therefore, in order to effectively ensure the running safety and the line smoothness of the train during the operation of the large-span bridge, a reference line construction strategy which is more suitable for the temperature deformation of the large-span bridge during the operation period needs to be explored, and a rail line-shaped regulation and control method of the large-span high-speed railway bridge is established.
Disclosure of Invention
In order to solve the problems, the invention aims to provide a temperature deformation-based long-span high-speed railway bridge track linear regulation technology, which aims to solve the technical problems that: and constructing and comparing to obtain an optimal track datum line adapting to the temperature deformation characteristics of the large-span high-speed railway bridge, optimizing the track smoothness of the vertical deviation between the line to be regulated and the datum line, formulating a regulating operation target line shape meeting the control requirements of the smoothness of different chord length tracks, and providing a reference for improving the regulating operation effect of the large-span high-speed railway bridge track line shape.
In order to achieve the technical purpose, the application provides a linear regulation and control method of a large-span high-speed railway bridge rail based on temperature deformation, which comprises the following steps:
collecting rail actual measurement elevation data of a large-span high-speed railway bridge to be regulated, actual measurement temperature data matched with the measurement environment of the rail actual measurement elevation data, rail design elevation data and reference temperature data corresponding to bridge formation;
according to the rail actual measurement elevation data of the large-span high-speed railway bridge to be regulated and controlled at different temperatures, gradient change rate is obtained, and linear fitting is carried out on the rail actual measurement data at different temperatures by taking the gradient change rate as a reference, so that the rule of linear parameters along with temperature change is obtained;
based on the lowest temperature and the highest temperature of measured temperature data, acquiring a maximum temperature difference, equally dividing the maximum temperature difference into a plurality of temperature intervals in different temperature gradient modes, and constructing a datum line in each temperature interval to obtain a multi-temperature interval datum line based on temperature deformation;
matching the measured temperature corresponding to the rail measured elevation data with the temperature interval corresponding to the datum line to obtain the datum line corresponding to the rail measured elevation data at different temperatures; comparing the track elevation with the corresponding datum elevation, determining an optimal temperature interval dividing mode, and determining the corresponding optimal datum;
judging a datum line to which the line to be regulated belongs according to the temperature data of the current day of regulation operation, calculating the vertical deviation between the measured height of the line to be regulated and the datum line height, and carrying out track smoothness optimization on the vertical deviation according to the optimal datum line to obtain the regulation operation target line which meets the track smoothness control requirement under the influence of temperature deformation.
Preferably, in the process of acquiring the rule of the linear parameter changing along with the temperature, the quantity of the variable slope points and the mileage distribution range of the variable slope points are determined according to the gradient change rate, the track measured data at different temperatures are subjected to linear fitting by taking the quantity of the variable slope points and the main distribution range of the mileage of the variable slope points as references, the linear parameter of the fitting line is extracted, and regression analysis is performed on the linear parameter to obtain the rule of the linear parameter changing along with the temperature.
Preferably, in the process of obtaining the rule that the linear parameters change along with the temperature, extracting the corresponding variable slope point mileage, variable slope point elevation, slope section gradient and vertical curve radius according to the linear parameters corresponding to the measured elevation data of the track at different temperatures;
and (3) taking the temperature as an independent variable, and respectively taking the variable slope point mileage, the variable slope point elevation, the slope of the slope section and the vertical curve radius as dependent variables to perform unitary linear regression analysis to obtain the rule of the linear parameter along with the temperature change.
Preferably, in the process of acquiring the datum line of the multi-temperature interval based on temperature deformation, taking the average temperature of the temperature interval as the corresponding temperature of the datum line, and acquiring the datum elevation along the mileage according to the rule of the linear parameter along with the temperature change according to the average temperature;
and generating a multi-temperature section datum line based on the temperature deformation based on the linear parameter corresponding to the datum line and the datum line elevation.
Preferably, in the process of acquiring the optimal datum line, comparing the track elevation with the corresponding datum line elevation to obtain the vertical deviation between the track elevation and the corresponding datum line elevation; calculating the height irregularity characteristic according to the vertical deviation; and determining an optimal temperature interval dividing mode according to the vertical deviation or the height irregularity change characteristics of different temperature intervals, and determining a corresponding optimal reference line.
Preferably, in the process of obtaining the optimal reference line, according to the variation condition of the maximum value and the average value of the vertical deviation or the high-low irregularity characteristic along with the temperature interval dividing mode, when the inflection point appears in the decreasing trend of the maximum value and the average value of the vertical deviation or the high-low irregularity characteristic, the number of the corresponding temperature intervals is the optimal temperature interval dividing mode, and meanwhile, the optimal reference line corresponding to the optimal temperature interval dividing mode is determined.
Preferably, in the process of optimizing the track smoothness of the vertical deviation, a combined chord which moves 10m, 30m and 60m point by point along the mileage sequence is constructed by setting a 10m midpoint chord measurement constraint, a 30m vector distance difference constraint and a 60m midpoint chord measurement constraint, and the track smoothness of the vertical deviation is optimized according to the combined chord.
Preferably, in the process of obtaining the 10m mid-chord measurement constraint, the specific formula of the 10m mid-chord measurement constraint is as follows:
in the method, in the process of the invention,the adjustment quantity is 5m from the small mileage direction of the point i; />The adjustment quantity is 5m from the i point in the large mileage direction; />The vertical deviation of the position 5m away from the small mileage direction of the point i is obtained; />The vertical deviation is 5m from the i point in the large mileage direction; epsilon 10 Is a management value of the mid-chord measurement value in 10 m.
Preferably, in the process of obtaining the 30m vector difference constraint, a specific formula of the 30m vector difference constraint is as follows:
wherein t is q An adjustment amount for a 30m chord origin position; t is t z The adjustment amount of the chord terminal position is 30 m; d (D) q Is 3 (3)Vertical deviation of 0m chord origin position; d (D) z A vertical deviation of 30m chord end position; epsilon 30 Is a management value of 30m vector distance difference.
Preferably, in the process of obtaining the 60m mid-point chord measurement constraint, the specific formula of the 60m mid-point chord measurement constraint is as follows:
in the method, in the process of the invention,the adjustment quantity is 30m from the small mileage direction of the point i; />The adjustment quantity is 30m from the i point in the large mileage direction; epsilon 60 Is a management value of the mid-chord measurement value in 60 m.
The invention also discloses a linear regulation and control system of the large-span high-speed railway bridge track based on temperature deformation, which is used for realizing a linear regulation and control method and comprises the following steps:
the data acquisition module is used for acquiring the rail actual measurement elevation data of the large-span high-speed railway bridge to be regulated, the actual measurement temperature data matched with the measurement environment of the rail actual measurement elevation data, the rail design elevation data and the reference temperature data corresponding to the bridge formation shape;
the linear parameter analysis module is used for acquiring gradient change rate according to the rail actual measurement elevation data of the large-span high-speed railway bridge to be regulated and controlled at different temperatures, and performing linear fitting on the rail actual measurement data at different temperatures by taking the gradient change rate as a reference to obtain a rule that linear parameters change along with the temperature;
the reference line acquisition module is used for acquiring the maximum temperature difference based on the minimum temperature and the maximum temperature of the actually measured temperature data, dividing the maximum temperature difference into a plurality of temperature intervals in different temperature gradient modes at equal intervals, and constructing a reference line in each temperature interval to obtain a plurality of temperature interval reference lines based on temperature deformation;
the optimal datum line obtaining module is used for matching the measured temperature corresponding to the track measured elevation data with the temperature interval corresponding to the datum line to obtain datum lines corresponding to the track measured elevation data at different temperatures; comparing the track elevation with the corresponding datum elevation, determining an optimal temperature interval dividing mode, and determining the corresponding optimal datum;
the linear regulation and control module is used for judging a datum line to which the linear to be regulated and controlled belongs according to the temperature data of the current day of regulation and control operation, and carrying out orbit smoothness optimization on the vertical deviation according to the optimal datum line by calculating the vertical deviation between the height of the linear to be regulated and the height of the datum line, so as to obtain the target linear of the regulation and control operation which meets the requirement of orbit smoothness control under the influence of temperature deformation.
The invention discloses the following technical effects:
the invention is based on the change rule of the mileage of the variable slope point, the elevation of the variable slope point, the radius of the vertical curve and the gradient of the slope section along with the temperature change, constructs a multi-temperature interval datum line suitable for the temperature deformation of the large span bridge, establishes a track smoothness optimization model based on the combined strings, effectively reduces the linear vertical deviation amplitude of the track after the temperature deformation of the large span bridge, is beneficial to providing a linear parameter basis for the regulation and control scheme formulation, realizes the track smoothness optimization of the combined chord length of 10m, 30m and 60m, and obviously improves the maintenance quality of the ballasted track of the large span high speed railway bridge. Firstly, the regulation and control effect of the track line shape fully considers the influence of the temperature deformation of the large-span high-speed railway bridge on the line on the bridge, and the change rule of the track line shape parameters along with the temperature is clearly described by utilizing a unitary linear regression equation to form a quantitative analysis result; secondly, dividing temperature intervals by different temperature gradients, constructing datum lines in each temperature interval by combining an orthogonal least square theory, selecting an optimal temperature interval dividing mode and an optimal datum line according to vertical deviation and a height irregularity change characteristic ratio, and fully adapting to the temperature deformation trend of a large bridge and the requirement of track maintenance operation; finally, the invention takes the minimum sum of the linear adjustment amounts to be regulated as a target, takes the mid-point chord measurement value in 10m, the 30m vector distance difference and the mid-point chord measurement value in 60m as constraints, calculates and obtains the target linear of regulation operation, and further improves the linear regulation operation effect of the large-span high-speed railway bridge track.
The invention provides a scientific method for formulating a linear regulation and control scheme of the rail of the large-span high-speed railway bridge, has important scientific value for research results, and has guiding significance for the rail fine regulation operation of the on-bridge line.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings that are needed in the embodiments will be briefly described below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and other drawings may be obtained according to these drawings without inventive effort for a person skilled in the art.
FIG. 1 is a diagram showing the results of a baseline construction of multiple temperature intervals according to the present invention;
FIG. 2 is a schematic diagram of vertical deviation corresponding to different temperature interval dividing modes according to the present invention;
fig. 3 is a flow chart of a linear regulation and control method for a large-span high-speed railway bridge track.
Detailed Description
For the purposes of making the objects, technical solutions and advantages of the embodiments of the present application more clear, the technical solutions in the embodiments of the present application will be clearly and completely described below with reference to the drawings in the embodiments of the present application, and it is apparent that the described embodiments are only some embodiments of the present application, but not all embodiments. The components of the embodiments of the present application, which are generally described and illustrated in the figures herein, may be arranged and designed in a wide variety of different configurations. Thus, the following detailed description of the embodiments of the present application, as provided in the accompanying drawings, is not intended to limit the scope of the application, as claimed, but is merely representative of selected embodiments of the application. All other embodiments, which can be made by those skilled in the art based on the embodiments of the present application without making any inventive effort, are intended to be within the scope of the present application.
As shown in fig. 1-3, the invention provides a temperature deformation-based linear regulation and control method for a large-span high-speed railway bridge track, which comprises the following specific embodiments:
step one: collecting the rail actual measurement elevation data of the large-span high-speed railway bridge to be regulated and controlled and the actual measurement temperature data matched with the measurement environment; collecting track design elevation data of a large-span high-speed railway bridge to be regulated and controlled and reference temperature data corresponding to bridge formation; fitting the actual measurement elevation data of the track at different temperatures, and quantitatively describing the change rule of the fitting linear parameters along with the temperature;
(a) Calculating gradient change rate according to the measured elevation data of the track at different temperatures, wherein the gradient change rate is the second derivative of elevation with respect to mileage, and the second derivative quotient is adopted for approximate calculation, and the specific formula of the gradient change rate is as follows:
wherein i is the number of the data point of the actual measurement elevation of the track; k (K) i The gradient change rate of the point i; m is M i The mileage of the point i is given in m; m is M i-1 Mileage of i-1 point, unit m; m is M i+1 Mileage in the point i+1, unit m; h i,1 The measured elevation of the point i is in m; h i-1,1 The measured elevation of the i-1 point is expressed as a unit m; h i+1,1 The measured elevation of the i+1 point is in m;
(b) Screening gradient change rate peaks corresponding to the measured elevation data of the track at different temperatures and mileage distribution ranges where the gradient change rate peaks are located, and considering that the linear development trend of the elevation of the track in the range is changed, setting slope change points is needed, and further determining the number of the slope change points and the main distribution ranges of the mileage of the slope change points;
(c) Dividing the track elevation line into a plurality of slope sections according to the number of variable slope points and the mileage distribution range, fitting the track actual measurement elevation data points in each slope section by adopting an orthogonal least square method, wherein the equation of the orthogonal least square method fitting slope section is as follows:
wherein j is a slope segment number; n is n 1 Is the total number of slope segments; k (k) j Is the gradient of the slope section j; b j Is the intercept of slope segment j;
the mathematical expression for each slope segment obtained by fitting is as follows:
H i ＝k j M i +b j (3)
according to mathematical expression of each slope section, new slope change point mileage and slope change point elevation can be calculated, and the specific formula is as follows:
wherein M is BP,p The unit is m, which is the j-th variable slope point mileage; h BP,j The unit m is the elevation of the jth variable slope point; alpha j The j-th variable slope point steering angle;
(d) Judging whether the algebraic difference of the slopes of the two side slope sections of each variable slope point is less than 1%or not, if so, not setting a vertical curve for the variable slope point, otherwise, assuming that the elevation data points of the track in the range of 50m on the two sides of the variable slope point belong to the vertical curve; the specific formula of the gradient algebraic difference is as follows:
ΔK＝|k j+1 -k j | (5)
wherein, delta K is the gradient algebraic difference, and the unit is per mill;
fitting the actual measurement elevation data points of the track belonging to the vertical curve by adopting an orthogonal least square method, wherein the formula of the orthogonal least square fitting vertical curve is as follows:
wherein p is a vertical curve sequence number; n is n 2 Is the total number of vertical curves; m is M O,p The center mileage of the p-th vertical curve is given by the unit m;H O,p the center elevation of the p-th vertical curve is in m; r is R p The curve radius is the unit m of the p-th vertical curve;
the mathematical expression for fitting to each vertical curve is as follows:
according to mathematical expressions of each vertical curve, the straight round point mileage, the straight round point elevation, the round straight point mileage and the round straight point elevation can be calculated, wherein the specific calculation formula of the round curve parameters is as follows:
wherein T is p The tangent length of the p-th vertical curve is the unit m; m is M ZY,p The unit is m, which is the mileage of the straight round point of the p-th vertical curve; m is M YZ,p The unit is m, which is the straight-point mileage of the p-th vertical curve; h ZY,p The vertical dot elevation of the p-th vertical curve is given by the unit m; h YZ,p The straight point elevation of the circle is the unit m of the p-th vertical curve; alpha BPD-ZY Azimuth angle from slope changing point to straight round point; alpha BPD-YZ Azimuth angle from the slope changing point to the straight point of the circle;
(e) Dividing the elevation line of the track into a plurality of combinations of slope sections and vertical curves according to the slope-changing point mileage, the straight round point mileage and the round straight point mileage calculated in the steps, re-fitting mathematical expressions of the slope sections and the vertical curves, calculating new slope-changing point mileage, straight round point mileage and round straight point mileage again, calculating the slope-changing point mileage, the straight round point mileage and the round straight point mileage twice before and after, judging whether the mileage difference is greater than 0.1m, repeatedly fitting the slope sections and the vertical curves when the mileage difference is greater than 0.1m until the mileage difference is less than 0.1m, and keeping the slope-changing point, the straight round point and the round straight point position stable at the moment to obtain the elevation line shape parameter of the track which accords with the actual space position of the line on the bridge of the large-span high-speed railway;
(f) According to the steps (c) to (e), linear fitting of the rail measured data at different temperatures is completed, linear parameters corresponding to the rail measured elevation data at different temperatures are calculated, variable slope point mileage, variable slope point elevation, slope section gradient and vertical curve radius corresponding to different temperatures are extracted, and unitary linear regression analysis is performed; the specific formula of the unitary linear regression analysis is as follows:
wherein x is an independent variable, y is an independent variable, a is a regression coefficient, and g is a constant term;
and constructing a regression equation of each variable along with the temperature change by taking the variable slope mileage, the variable slope elevation, the slope section gradient and the vertical curve radius as dependent variables and the temperature as independent variables respectively, and calculating a regression coefficient, wherein the specific regression equation is as follows:
wherein M is BP The unit is m, which is the mileage of the variable slope point; h BP The height of the slope change point is in unit m; k is the gradient of a slope section, and the unit is per mill; r is the radius of a vertical curve, and the unit is m; t is the temperature in degrees centigrade; a, a 1 And g 1 Regression coefficients and constant terms of the slope-change point mileage regression equation are respectively used; a, a 2 And g 2 Regression coefficients and constant terms of the slope change point height Cheng Huigui equation are respectively used; a, a 3 And g 3 Regression coefficients and constant terms of the slope segment gradient regression equation are respectively adopted; a, a 4 And g 4 Regression coefficients and constant terms of the vertical curve radius regression equation are respectively adopted;
step two: the minimum temperature and the maximum temperature of the measured temperature data are counted, the maximum temperature is subtracted from the minimum temperature to obtain the maximum temperature difference, the maximum temperature difference is equally divided into n temperature intervals in different temperature gradient modes, and adjacent temperature intervals are not overlapped in a crossing way;
taking the average temperature of each temperature interval as the corresponding temperature of the datum line, taking the temperature into the formula (10) of the first step, calculating to obtain the variable slope point mileage, the variable slope point elevation, the slope of the slope section and the vertical curve radius under the corresponding temperature of the datum line, determining the linear parameter of the datum line, and calculating the datum line elevation;
calculating datum line linear parameters and elevations of each temperature interval under different temperature gradients to finish the datum line construction of the multiple temperature intervals based on temperature deformation, wherein the construction result is shown in figure 1;
step three: comparing and selecting temperature interval dividing modes of different temperature gradients according to the orbit actual measurement elevation data, and determining an optimal datum line dividing mode and a corresponding optimal datum line;
(a) According to the rail actual measurement data of the large-span high-speed railway bridge to be regulated and controlled and the actual measurement temperature data matched with the measurement environment, matching the temperature corresponding to the actual measurement data in each period with a multi-class reference line temperature interval, and determining the reference line corresponding to the actual measurement elevation data of each rail according to the temperature matching result;
(b) Comparing the measured data elevation of each orbit with the corresponding datum elevation to obtain the vertical deviation between the measured data elevation and the datum elevation, wherein a specific vertical deviation formula is as follows:
D i ＝1000×(H i，1 -H i，2 ) (11)
wherein D is i The vertical deviation of the point i is in mm; h i,1 The datum elevation of the point i is the unit m;
after the vertical deviation is obtained, calculating the height irregularity according to the vertical deviation, wherein the height irregularity refers to a measured value of a midpoint chord of 60m, and a specific formula is as follows:
in the formula, si is a measured value of a point chord in 60m of an i point, and the unit is mm;the unit is mm for the vertical deviation of the position 30m away from the small mileage direction of the point i; />The unit is mm for the vertical deviation of the position 30m away from the big mileage direction of the point i;
(c) Repeating the steps (a) to (b), when temperature interval division is carried out by adopting different temperature gradients, vertical deviation and height irregularity of height heights of each track are calculated, and vertical deviation maximum values and average values, and height irregularity maximum values and average values corresponding to different temperature interval division modes are screened out;
(d) The maximum value and the average value of the vertical deviation corresponding to different temperature interval dividing modes are shown in fig. 2, the change condition of the maximum value and the average value of the vertical deviation or the high-low irregularity along with the temperature interval dividing modes is observed, the maximum value and the average value of the vertical deviation or the high-low irregularity generally show a decreasing trend along with the increase of the number of the temperature intervals, namely, the smaller the temperature gradient is, the smaller the maximum value and the average value of the vertical deviation or the high-low irregularity are, the developing trend of the maximum value and the average value of the vertical deviation or the high-low irregularity is, the inflection point appears and tends to be stable, the number of the temperature intervals corresponding to the inflection point is the optimal temperature interval dividing mode, and meanwhile, the optimal datum line corresponding to the optimal temperature interval dividing mode is determined;
step four: matching a datum line to which the line shape to be regulated belongs, calculating vertical deviation, establishing a track smoothness optimization model based on the combined strings, carrying out track smoothness optimization on the vertical deviation, and calculating to obtain a regulating operation target line shape meeting the track smoothness control requirement under the influence of temperature deformation;
(a) Acquiring current day temperature data of the regulation and control operation, matching the acquired temperature with a temperature interval, determining a datum line to which the line to be regulated belongs according to a temperature matching result, and calculating the vertical deviation between the actual elevation of the line to be regulated and the datum line elevation;
(b) Only the linear regulation and control operation of the ballasted track is startedThe influence of the characteristics of no track falling is that a regulating operation target line shape meeting the smoothness control requirements of different chord length tracks is constructed according to the vertical deviation between the height of the line to be regulated and the reference line height, firstly, the i point regulating quantity of the line to be regulated is assumed to be t i Adding the vertical deviation of each point and the adjustment quantity to obtain the target vertical deviation of the regulation operation, wherein the formula is as follows:
D′ i ＝D i +t i (13)
wherein D is i The unit is mm for the vertical deviation between the height of the line to be regulated and the reference line height; d'. i The unit is mm for the target vertical deviation of the line shape to be regulated;
secondly, in order to strive for small-amplitude adjustment of the line shape to be regulated, the absolute value of the adjustment quantity of the line shape to be regulated is summed, so that the minimum summation value is used as an objective function f, and the formula is as follows:
wherein n is 3 The total number of the adjusting points contained in the line to be regulated is the total number of the adjusting points contained in the line to be regulated;
(c) The high-speed railway large-span bridge track smoothness control standard in China has strict limit requirements on track irregularity with different chord lengths, and is specifically expressed as follows: in order to effectively control the track smoothness state of the line to be regulated under different chord lengths, the line to be regulated is simultaneously applied with 10m mid-point chord measurement constraint, 30m vector distance difference constraint and 60m mid-point chord measurement constraint, wherein the specific formulas of the 10m mid-point chord measurement constraint are as follows:
in the method, in the process of the invention,the unit mm is the adjustment quantity of the position 5m away from the small mileage direction of the point i; />The unit mm is the adjustment quantity of the position 5m away from the point i in the large mileage direction; />The unit is mm for the vertical deviation of the position 5m away from the small mileage direction of the point i; />The unit is mm for the vertical deviation of the position 5m away from the big mileage direction of the point i; epsilon 10 The unit is mm for the management value of the mid-chord measurement value in 10 m;
the specific formula of the 30m vector difference constraint is as follows:
wherein t is q The adjustment quantity of the chord starting point position is 30m, and the unit is mm; t is t z The adjustment amount of the chord end position is 30m, and the unit is mm; d (D) q The vertical deviation of the chord starting point position is 30m, and the unit is mm; d (D) z The vertical deviation of the chord end position is 30m, and the unit is mm; epsilon 30 The management value of the vector distance difference is 30m, and the unit is mm;
the specific formula of the 60m mid-point chord measurement constraint is as follows:
in the method, in the process of the invention,the unit mm is the adjustment quantity of the position 30m away from the small mileage direction of the point i; />Is large at the distance iThe adjustment amount of the position of the mileage direction 30m is in mm; epsilon 60 The unit is mm for the management value of the measured value of the mid-chord of 60 m;
(d) And (3) taking the formula (14) as an objective function, taking the formula (15), the formula (16) and the formula (17) as constraint conditions, solving according to an optimization theory to obtain the track adjustment quantity of the point i, moving the combined strings of 10m, 30m and 60m point by point along the mileage sequence, sequentially solving the track adjustment quantity of each point, and finally calculating to obtain the target line shape of the regulation and control operation along with traversing of all the points of the combined strings, wherein the line shape meets the track smoothness control requirements of different chord lengths of the strings of 10m, 30m and 60m, and has regulation and control capability on track irregularity caused by temperature deformation of the large-span high-speed railway bridge.
The track linear regulation and control method suitable for the temperature deformation of the large-span high-speed railway bridge guides constructors to carry out the fine maintenance operation of the on-bridge line, overcomes the defect of insufficient multi-chord track irregularity control capability caused by the temperature deformation of the existing large-span bridge track linear regulation and control method, and has important theoretical significance and engineering practical value.
It will be apparent to those skilled in the art that various modifications and variations can be made to the present invention without departing from the spirit or scope of the invention. Thus, it is intended that the present invention also include such modifications and alterations insofar as they come within the scope of the appended claims or the equivalents thereof.
Claims (10)
1. The linear regulation and control method of the large-span high-speed railway bridge track based on temperature deformation is characterized by comprising the following steps of:
collecting rail actual measurement elevation data of a large-span high-speed railway bridge to be regulated, actual measurement temperature data matched with the measurement environment of the rail actual measurement elevation data, rail design elevation data and reference temperature data corresponding to bridge formation;
according to the rail actual measurement elevation data of the large-span high-speed railway bridge to be regulated and controlled at different temperatures, gradient change rate is obtained, and linear fitting is carried out on the rail actual measurement data at different temperatures by taking the gradient change rate as a reference, so as to obtain a rule that linear parameters change along with temperature;
based on the lowest temperature and the highest temperature of the actually measured temperature data, acquiring a maximum temperature difference, equally dividing the maximum temperature difference into a plurality of temperature intervals in different temperature gradient modes, and constructing a datum line in each temperature interval to obtain a multi-temperature interval datum line based on temperature deformation;
matching the measured temperature corresponding to the rail measured elevation data with the temperature interval corresponding to the datum line to obtain the datum line corresponding to the rail measured elevation data at different temperatures; comparing the track elevation with the corresponding datum elevation, determining an optimal temperature interval dividing mode, and determining the corresponding optimal datum;
judging a datum line to which the line to be regulated belongs according to the temperature data of the current day of regulation operation, calculating the vertical deviation between the measured height of the line to be regulated and the datum line height, and carrying out track smoothness optimization on the vertical deviation according to the optimal datum line to obtain the regulation operation target line which meets the track smoothness control requirement under the influence of temperature deformation.
2. The linear regulation and control method for the large-span high-speed railway bridge track based on temperature deformation according to claim 1, wherein the linear regulation and control method is characterized by comprising the following steps:
in the process of acquiring the rule of the linear parameter changing along with the temperature, determining the quantity of the variable slope points and the mileage distribution range of the variable slope points according to the gradient change rate, performing linear fitting on the rail actual measurement data at different temperatures by taking the quantity of the variable slope points and the main distribution range of the mileage of the variable slope points as references, extracting the linear parameter fitting the linear, and performing regression analysis on the linear parameter to acquire the rule of the linear parameter changing along with the temperature.
3. The linear regulation and control method for the large-span high-speed railway bridge track based on temperature deformation according to claim 2, wherein the method is characterized by comprising the following steps:
in the process of obtaining the rule of the linear parameters changing along with the temperature, extracting the mileage of the variable slope point, the elevation of the variable slope point, the gradient of the slope section and the radius of the vertical curve corresponding to different temperatures according to the linear parameters corresponding to the measured elevation data of the track at different temperatures;
and (3) taking the temperature as an independent variable, and respectively taking the variable slope point mileage, the variable slope point elevation, the slope of the slope section and the vertical curve radius as dependent variables to perform unitary linear regression analysis to obtain the rule of the linear parameters along with the temperature change.
4. The linear regulation and control method for the large-span high-speed railway bridge track based on temperature deformation according to claim 3, wherein the linear regulation and control method is characterized by comprising the following steps of:
in the process of acquiring a reference line of a multi-temperature interval based on temperature deformation, taking the average temperature of the temperature interval as the corresponding temperature of the reference line, and acquiring the reference elevation along the mileage according to the rule of the linear parameter along with the temperature change according to the average temperature;
and generating a multi-temperature interval datum line based on temperature deformation based on the linear parameter corresponding to the datum line and the datum line elevation.
5. The linear regulation and control method for the large-span high-speed railway bridge track based on temperature deformation according to claim 4, wherein the linear regulation and control method is characterized by comprising the following steps:
in the process of obtaining the optimal datum line, comparing the track elevation with the corresponding datum line elevation to obtain the vertical deviation between the track elevation and the corresponding datum line elevation; calculating the height irregularity characteristic according to the vertical deviation; and determining an optimal temperature interval dividing mode according to the vertical deviation or the height irregularity change characteristics in different temperature intervals, and determining a corresponding optimal reference line.
6. The linear regulation and control method for the large-span high-speed railway bridge track based on temperature deformation according to claim 5, wherein the linear regulation and control method is characterized by comprising the following steps:
in the process of acquiring the optimal reference line, according to the change condition of the maximum value and the average value of the vertical deviation or the high-low irregularity characteristic along with the temperature interval dividing mode, when the inflection point appears in the decreasing trend of the maximum value and the average value of the vertical deviation or the high-low irregularity characteristic, the number of the corresponding temperature intervals is the optimal temperature interval dividing mode, and meanwhile, the optimal reference line corresponding to the optimal temperature interval dividing mode is determined.
7. The linear regulation and control method for the large-span high-speed railway bridge track based on temperature deformation according to claim 6, wherein the linear regulation and control method is characterized by comprising the following steps:
in the process of optimizing the track smoothness of the vertical deviation, a combined chord which moves 10m, 30m and 60m point by point along the mileage sequence is constructed by setting a 10m mid-point chord measurement constraint, a 30m vector distance difference constraint and a 60m mid-point chord measurement constraint, and the track smoothness of the vertical deviation is optimized according to the combined chord.
8. The linear regulation and control method for the large-span high-speed railway bridge track based on temperature deformation according to claim 7, wherein the linear regulation and control method is characterized by comprising the following steps:
in the process of obtaining the 10m mid-point chord measurement constraint, the specific formula of the 10m mid-point chord measurement constraint is as follows:
in the method, in the process of the invention,the adjustment quantity is 5m from the small mileage direction of the point i; />The adjustment quantity is 5m from the i point in the large mileage direction; />The vertical deviation of the position 5m away from the small mileage direction of the point i is obtained; />Is the distanceVertical deviation of 5m positions of the large mileage direction of the point i; epsilon 10 Is a management value of the mid-chord measurement value in 10 m.
9. The linear regulation and control method for the large-span high-speed railway bridge track based on temperature deformation of claim 8, which is characterized by comprising the following steps:
in the process of obtaining the 30m vector difference constraint, the specific formula of the 30m vector difference constraint is as follows:
wherein t is q An adjustment amount for a 30m chord origin position; t is t Z The adjustment amount of the chord terminal position is 30 m; d (D) q A vertical deviation of the position of the starting point of the chord of 30 m; d (D) Z A vertical deviation of 30m chord end position; epsilon 30 Is a management value of 30m vector distance difference.
10. The linear regulation and control method for the large-span high-speed railway bridge track based on temperature deformation according to claim 9, wherein the linear regulation and control method is characterized by comprising the following steps:
in the process of obtaining the 60m mid-point chord measurement constraint, the specific formula of the 60m mid-point chord measurement constraint is as follows:
in the method, in the process of the invention,the adjustment quantity is 30m from the small mileage direction of the point i; />The adjustment quantity is 30m from the i point in the large mileage direction; epsilon 60 Is a management value of the mid-chord measurement value in 60 m.
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