CN105426610A - Parametric modeling method of rail profile shape based on NURBS adjustable weight factor - Google Patents

Parametric modeling method of rail profile shape based on NURBS adjustable weight factor Download PDF

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CN105426610A
CN105426610A CN201510790076.3A CN201510790076A CN105426610A CN 105426610 A CN105426610 A CN 105426610A CN 201510790076 A CN201510790076 A CN 201510790076A CN 105426610 A CN105426610 A CN 105426610A
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weight factor
nurbs
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解欢
曾威
刘越
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Xijing University
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Abstract

The invention provides a parametric modeling method of a rail profile shape based on an NURBS adjustable weight factor. The method comprises the following steps: firstly, obtaining a profile shape data point coordinate value, then constructing a data point coordinate file, designing a calculation flow of using a data point to reversely calculate an NURBS curve control point, and pre-setting an adjustable NURBS weight factor file; developing a parametric graphical user interface for a rail profile shape curve, updating a data point coordinate file, performing reverse calculation and obtaining a control point coordinate file of the rail profile shape, updating the adjustable NURBS weight factor file, calculating and displaying a new rail profile parametric profile shape, outputting a parametric model and conserving a data file. The parametric modeling method of the rail profile shape based on the NURBS adjustable weight factor provided by the invention uses the local convex hull property and the affine transformation characteristic of the NURBS curve to realize the parametric modeling of the rail profile shape by adjusting the weight factor, and the locally continuous and accurate adjustment of the rail profile shape can be achieved.

Description

A kind of rail profile profile parametric modeling method based on the adjustable weight factor of NURBS
Technical field
The invention belongs to the optimisation technique field of mechanical engineering steel rail grinding profile, particularly relate to a kind of rail profile profile parametric modeling method based on the adjustable weight factor of NURBS.
Technical background
Along with China Express Railway operation mileage constantly increases, after high-speed railway circuit is runed for a long time, railway track rail there will be the diseases such as obvious wearing and tearing, crackle, conquassation, need to polish to rail profile profile in some cycles, to ensure rail vehicle safety in operation, improve the operation stability of vehicle, and extend the serviceable life of rail to a certain extent.Before steel rail grinding construction, according to the actual conditions of wearing and tearing circuit, optimize rail profile polishing profile, for improving polishing quality, ensure the running stability of rail vehicle and stability significant.In recent years, related work has been carried out in the relevant optimization of scholar to steel rail grinding profile, and obtains corresponding progress.Jia Jinzhong and Si Daolin (Jia Jinzhong, Si Daolin. Shuohuang Railway track with small-radius curve steel rail grinding target profile research [J]. Chinese railway science .2014 (04): 15-21.) to ensure rationally take turns footpath difference and reduce for the purpose of wheel Rail Contact Stresses, based on polishing practical experience, devise the polishing profile of sharp radius curve medial and lateral rail profile respectively.Xiao Jieling and Liu Xueyi (Xiao Jieling, Liu Xueyi. the method for designing [J] of the asymmetric profile of rail. Southwest Jiaotong University journal .2010 (03): 361-365.) the different rail head profiles that produce using different rail cant are as the rail profile polishing profile optimized, design evaluatio standard using Equivalent conicity, contact stress value and polishing amount as polishing profile, obtains preferably steel rail grinding target profile.Zhou Qing such as to jump at (the Zhou Qingyue, Zhang Yinhua, Tian Changhai, Deng profile design and the experimental study [J] of .60N rail. Chinese railway science .2014 (02): 128-135.) recline rail formation bringing into conformal contact for target with wheel rim on curve circuit, CHN60 rail profile profile is optimized.Current, at the rail profile polishing profile in order to obtain optimization, based on the reality polishing Experience Design steel rail grinding profile of multiple correspondence, preferably steel rail grinding profile is selected by comparative analysis, for improving rail vehicle wheel track contact performance, the curve negotiation ability improving vehicle has vital role.But, in the process optimizing steel rail grinding profile, all do not set up the parameterized model of rail profile profile, can not realize carrying out adjusting continuously, accurately to rail profile polishing profile, determined optimum profile is all the more excellent profile determined according to polishing experience, cause the optimum rail profile polishing profile obtained not have Global Optimality, be unfavorable for ensureing steel rail grinding quality.
Summary of the invention
In order to overcome the shortcoming of above-mentioned prior art, the object of the present invention is to provide a kind of rail profile profile parametric modeling method based on the adjustable weight factor of NURBS, for the local continuous, the accurate adjustment that realize rail profile polishing profile, meet rail profile polishing profile and optimize needs, ensure rail profile polishing profile optimality, improve rail vehicle running stability and stability, the serviceable life of prolongation railway track rail etc., all tool was of great significance.
In order to achieve the above object, the present invention adopts following technical scheme:
Based on a rail profile profile parametric modeling method for the adjustable weight factor of NURBS, comprise the following steps:
1) utilize CAD software or rail profile scanner, obtain the data point coordinate figure of rail profile profile, for the data point coordinate as nurbs curve, described data point coordinate is two-dimensional coordinate, comprises x-axis, y-axis coordinate figure;
2) with rail profile profile tread central point for initial point, horizontal direction is x-axis, and vertical direction is y-axis, builds rail two-dimensional coordinate system, is the coordinate figure under rail two-dimensional coordinate system, and it is preserved data point coordinate conversion with TXT form;
3) based on nurbs curve ultimate principle, design utilizes the calculation process at data point reverse nurbs curve reference mark;
4) the adjustable weight factor data file ω (ω of nurbs curve modeling is write 1, ω 2..., ω n), for the amendment of follow-up nurbs curve shape, the weight factor ω of described data file ivalue be 1;
5) based on MATLAB platform, exploitation rail profile contour curve parametrized drawing user interface, the performed step at described interface comprises the input of rail data point coordinate file; The input of adjustable weight factor data file; The calculating at nurbs curve reference mark; The amendment of weight factor data file that NURBS is adjustable and renewal; The calculating of nurbs curve equation; Display parameter nurbs curve figure;
6) in rail profile contour curve parametrized drawing user interface, input offset point coordinate data, TXT coordinate file is modified, upgraded;
7) perform nurbs curve reference mark anti-calculate flow process in rail profile contour curve parametrized drawing user interface, obtain the reference mark coordinate file P (p of profile of steel rail 1, p 2..., p n+4);
8) the profile region of revising according to actual needs, determines the control factor (ω needing amendment i..., ω k), in rail profile contour curve parametrized drawing user interface, weight factor coordinate file ω is upgraded;
9) perform rail profile profile parametrized drawing display command in rail profile contour curve parametrized drawing user interface, described parametrized drawing display command is by calculating nurbs curve equation, obtaining amended rail profile profile;
10) output parameter model preserve data file.
Described step 3) in the calculation process at reverse nurbs curve reference mark, comprise the following steps:
Step one: read rail profile profile data point data D (d 1, d 2..., d n);
Step 2: use accumulation chord length parameter method to calculate the knot vector U (u of nurbs curve 1, u 2..., u n+6);
Step 3: according to revising profile region, carries out renewal U (u to knot vector 1, u 2..., u i..., u k..., u n+6);
Step 4: the knot vector U after application upgrades and data point data D anti-calculate reference mark P (p 1, p 2..., p n+2).
Described step 8) in the step that weight factor file ω upgrades is comprised:
Step one: the profile region, local of revising as required, determines the weight factor in requisition for amendment;
Step 2: based on the Principle of Affine Transformation of nurbs curve, the value ω of weight factor after determining to revise i '..., ω k ';
Step 3: by amended weight factor ω i '..., ω k 'replace former weight factor preset value ω i..., ω k, obtain the weight factor file ω (ω after upgrading 1, ω 2..., ω i '..., ω k '..., ω n+2).
Described step 10) in export and the data file of preserving comprises the reference mark coordinate file of rail profile profile nurbs curve, knot vector data file, weight factor data file and View Image File.
Described weight factor data file is excel file, and reference mark coordinate file is TXT file.
Beneficial effect of the present invention is: apply the rail profile profile parametric modeling method based on the adjustable weight factor of NURBS of the present invention when carrying out parametric modeling to rail profile profile, the parametrized drawing user interface of exploitation can read the data point data of rail profile profile automatically, the regional area revised according to actual needs carries out continuously, accurate adjustment, and export final parameterized model data, whole modeling process is simple to operate, solve steel rail grinding profile and optimize the not high problem of precision, accurate global optimum steel rail grinding section profile can be obtained, improve steel rail grinding quality, ensure operation stability and the stationarity of rail vehicle, there is good engineer applied be worth.
The present invention reads the data point data of actual rail profile profile by graphic user interface, the local convex closure utilizing nurbs curve to have and affined transformation feature, achieving the parametric modeling to rail profile profile by adjustment weight factor, providing science, efficiently settling mode to setting up high-precision rail profile parameterized model in steel rail grinding engineering practice fast.
Rail profile profile parametric modeling method based on the adjustable weight factor of NURBS of the present invention achieves local continuous, the accurate adjustment of rail profile profile, and to have carried out exemplary application in the optimal design of certain type high-speed railway steel gauge lines polishing profile, application result shows: the parametric modeling method proposed is scientific and effective, and for rail in high speed railway polishing profile optimal design provide high-precision parameterized model.
Accompanying drawing explanation
Fig. 1 is process flow diagram of the present invention.
Fig. 2 is the calculation flow chart according to the data point data reverse profile of steel rail reference mark of reading in the present invention.
Fig. 3 is the renewal process flow diagram of the adjustable weight factor file of NURBS of the present invention.
Fig. 4 is the rail profile profile regional area that the embodiment of the present invention needs amendment.
Fig. 5 is the rail profile profile parameterized model figure that the new adjustable weight factor of the embodiment of the present invention is corresponding.
Embodiment
In order to make object of the present invention, technical scheme and advantage clearly, distinct, below in conjunction with accompanying drawing, particular content of the present invention is described further, but the specific embodiment of the present invention is not limited thereto.
As shown in Figure 1, a kind of rail profile profile parametric modeling method based on the adjustable weight factor of NURBS, comprises the following steps:
1) utilize CAD software or rail profile scanner, obtain rail profile profile data point coordinate figure, for the data point coordinate as nurbs curve, described data point coordinate is two-dimensional coordinate, comprises x-axis, y-axis coordinate figure;
2) with rail profile profile tread central point for initial point, horizontal direction is x-axis, vertical direction is y-axis, builds rail two-dimensional coordinate system, is the coordinate figure under rail two-dimensional coordinate system, and it is preserved data point coordinate conversion with TXT form;
3) based on nurbs curve ultimate principle, design utilizes the calculation process at data point reverse nurbs curve reference mark, obtains all nurbs curve reference mark coordinate figure;
4) the adjustable weight factor data file ω (ω of nurbs curve modeling is write 1, ω 2..., ω n), for the amendment of follow-up nurbs curve shape, the weight factor ω of described data file ivalue be 1;
5) based on MATLAB platform, exploitation rail profile contour curve parametrized drawing user interface, the performed step at described interface comprises the input of rail data point coordinate file; The input of adjustable weight factor data file; The calculating at nurbs curve reference mark; The amendment of weight factor data file that NURBS is adjustable and renewal; The calculating of nurbs curve equation, display parameter nurbs curve figure;
6) in rail profile contour curve parametrized drawing user interface, input offset point coordinate data, TXT coordinate file is modified, upgraded;
7) perform nurbs curve reference mark anti-calculate flow process in rail profile contour curve parametrized drawing user interface, obtain the reference mark coordinate file P (p of profile of steel rail 1, p 2..., p n+2);
8) the profile region of revising according to actual needs, determines the control factor (ω needing amendment i..., ω k), in rail profile contour curve parametrized drawing user interface, weight factor coordinate file ω is upgraded;
9) perform rail profile profile parametrized drawing display command in rail profile contour curve parametrized drawing user interface, described parametrized drawing display command is by calculating nurbs curve equation, obtaining amended rail profile profile;
10) output parameter model preserve data file.
As shown in Figure 2, described step 3) in the calculation process step at reverse nurbs curve reference mark comprise:
Step one: read rail profile profile data point data D (d 1, d 2..., d n);
Step 2: use accumulation chord length parameter method to calculate the knot vector U (u of nurbs curve 1, u 2..., u n+6);
Step 3: according to revising profile region, carries out renewal U (u to knot vector 1, u 2..., u i..., u k..., u n+6);
Step 4: the knot vector U after application upgrades and data point data D anti-calculate reference mark P (p 1, p 2..., p n+2).
As shown in Figure 3, described step 8) in the step that weight factor file ω upgrades is comprised:
Step one: the profile region, local of revising as required, determines the weight factor in requisition for amendment;
Step 2: based on the Principle of Affine Transformation of nurbs curve, the value ω of weight factor after determining to revise i '..., ω k ';
Step 3: by amended weight factor ω i '..., ω k 'replace former weight factor preset value ω i..., ω k, obtain the weight factor file ω (ω after upgrading 1, ω 2..., ω i '..., ω k '..., ω n+2).
Described step 10) in export and the data file of preserving comprises the reference mark coordinate file of rail profile profile nurbs curve, knot vector data file, weight factor data file and View Image File.
Described weight factor data file is excel file, and reference mark coordinate file is TXT file.
The following parametric modeling according to certain type rail in high speed railway section profile and accompanying drawing illustrate specific embodiment of the invention process:
Based on a rail profile profile parametric modeling method for the adjustable weight factor of NURBS, comprise the following steps:
1) as shown in Figure 4, in AutodeskCAD software, draw the engineering drawing of certain shaped steel rail, utilize point coordinate extracting method to obtain data point coordinate on rail profile profile, as shown in table 1:
Table 1 rail profile profile data point coordinate
2) with rail profile profile tread central point for initial point, horizontal direction is x-axis, and vertical direction is y-axis, builds rail two-dimensional coordinate system, and data point in table 1 is converted into the section profile data point coordinate under rail's coordinate system, as shown in table 2:
Table 2 rail profile profile data point coordinate
Sequence number x y Sequence number x y Sequence number x y Sequence number x y
1 35.40 12.16 7 27.58 45.43 13 -8.08 48.39 19 -34.75 31.98
2 35.20 18.16 8 21.83 47.05 14 -14.07 48.09 20 -34.95 25.99
3 35.00 24.15 9 15.89 47.92 15 -20.02 47.37 21 -35.14 19.99
4 34.81 30.15 10 9.91 48.34 16 -25.89 46.15 22 -35.34 13.99
5 34.48 36.14 11 3.91 48.47 17 -30.93 42.99 23 -35.40 12.16
6 32.12 41.60 12 -2.08 48.49 18 -34.03 37.91 - - -
3) utilize the ultimate principle of nurbs curve, the establishment calculation process utilizing data point reverse nurbs curve reference mark as shown in Figure 2, its idiographic flow is:
The homogeneous coordinates expression-form of nurbs curve:
p ω ( t ) = Σ i = 0 n N i , k ( t ) ω i p ( u ) 1
Wherein, N i,kt () is k specification spline base function,
Nurbs curve amendment is realized by revising multiple weight factor, if its variable quantity is Δ ω, and then amended nurbs curve equation is:
p ω ( μ ) = Σ i = 0 n N i , k ( μ ) ω i d i 1 + Σ m = p 1 p 2 N m , k ( μ ) ( Δω m + ω m ) d m 1 , ω mm weight factor, amended m weight factor;
4) the adjustable weight factor data file ω (ω of nurbs curve modeling is write 1, ω 2..., ω n+2), and preset ω i=1, then the adjustable weight factor data file ω of NURBS (ω 1, ω 2..., ω n+2)=(1,1 ..., 1);
5) on MATLAB platform, exploitation rail profile contour curve parametrized drawing user interface, the performed step at described interface comprises the input of rail data point coordinate file; The input of adjustable weight factor data file; The calculating at nurbs curve reference mark; The amendment of weight factor data file that NURBS is adjustable and renewal; The calculating of nurbs curve equation; Display parameter nurbs curve figure;
6) in rail profile contour curve parametrized drawing user interface, input data point coordinate data as shown in table 2, obtain new data point TXT coordinate file;
7) perform nurbs curve reference mark anti-calculate flow process in rail profile contour curve parametrized drawing user interface, try to achieve the knot vector U={0 of nurbs curve, 0,0,0,0.047,0.094,0.141,0.188,0.235,0.281,0.328,0.375,0.422,0.469,0.516,0.563,0.610,0.657,0.704,0.751,0.798,0.845,0.892,0.939,0.986,1,1,1,1}, obtains the reference mark coordinate file P (p of profile of steel rail 1, p 2..., p n+2), as shown in table 3:
The nurbs curve reference mark coordinate of table 3 rail profile profile
8) the profile region (as a in Fig. 4 is interval) of revising according to actual needs, determines the adjustable weight factor (ω needing amendment 7..., ω 11), in rail profile contour curve parametrized drawing user interface to adjustable weight factor file ω (ω 1, ω 2..., ω n+2)=(1,1 ..., 1) upgrade, its calculation process as shown in Figure 3, obtains new adjustable weight factor file ω ' (ω 1, ω 2..., ω 7 ',, ω 11 '..., ω n+2)=(1,1 ..., 0.85,0.79,0.92,1.25,1.57 ..., 1);
9) rail profile profile parametrized drawing display command is performed in rail profile contour curve parametrized drawing user interface, described parametrized drawing display command is by calculating nurbs curve equation, obtain amended rail profile profile, contrast with unmodified profile figure, as shown in Figure 5, in figure, dashed region is the parametrization profile of steel rail region obtained after change control weight factor, can also carry out arbitrary parameter adjustment by revising different adjustable weight factor values to the rail profile profile of other corresponding regions;
10) output parameter model preserve data file, mainly comprises rail profile parametrization profile picture (Fig. 5) after nurbs curve reference mark coordinate (table 3), knot vector file (U), adjustable weight factor file (ω ') and amendment.

Claims (5)

1., based on a rail profile profile parametric modeling method for the adjustable weight factor of NURBS, it is characterized in that, comprise the following steps:
1) utilize CAD software or rail profile scanner, obtain the data point coordinate figure of rail profile profile, for the data point coordinate as nurbs curve, described data point coordinate is two-dimensional coordinate, comprises x-axis, y-axis coordinate figure;
2) with rail profile profile tread central point for initial point, horizontal direction is x-axis, and vertical direction is y-axis, builds rail two-dimensional coordinate system, is the coordinate figure under rail two-dimensional coordinate system, and it is preserved data point coordinate conversion with TXT form;
3) based on nurbs curve ultimate principle, design utilizes the calculation process at data point reverse nurbs curve reference mark;
4) the adjustable weight factor data file ω (ω of nurbs curve modeling is write 1, ω 2..., ω n), for the amendment of follow-up nurbs curve shape, the weight factor ω of described data file ivalue be 1;
5) based on MATLAB platform, exploitation rail profile contour curve parametrized drawing user interface, the performed step at described interface comprises the input of rail data point coordinate file; The input of adjustable weight factor data file; The calculating at nurbs curve reference mark; The amendment of weight factor data file that NURBS is adjustable and renewal; The calculating of nurbs curve equation; Display parameter nurbs curve figure;
6) in rail profile contour curve parametrized drawing user interface, input offset point coordinate data, TXT coordinate file is modified, upgraded;
7) perform nurbs curve reference mark anti-calculate flow process in rail profile contour curve parametrized drawing user interface, obtain the reference mark coordinate file P (p of profile of steel rail 1, p 2..., p n+4);
8) the profile region of revising according to actual needs, determines the control factor (ω needing amendment i..., ω k), in rail profile contour curve parametrized drawing user interface, weight factor coordinate file ω is upgraded;
9) perform rail profile profile parametrized drawing display command in rail profile contour curve parametrized drawing user interface, described parametrized drawing display command is by calculating nurbs curve equation, obtaining amended rail profile profile;
10) output parameter model preserve data file.
2. a kind of rail profile profile parametric modeling method based on the adjustable weight factor of NURBS according to claim 1, is characterized in that: described step 3) in the calculation process at reverse nurbs curve reference mark, comprise the following steps:
Step one: read rail profile profile data point data D (d 1, d 2..., d n);
Step 2: use accumulation chord length parameter method to calculate the knot vector U (u of nurbs curve 1, u 2..., u n+6);
Step 3: according to revising profile region, carries out renewal U (u to knot vector 1, u 2..., u i..., u k..., u n+6);
Step 4: the knot vector U after application upgrades and data point data D anti-calculate reference mark P (p 1, p 2..., p n+2).
3. a kind of rail profile profile parametric modeling method based on the adjustable weight factor of NURBS according to claim 1, is characterized in that: described step 8) in the step that weight factor file ω upgrades is comprised:
Step one: the profile region, local of revising as required, determines the weight factor in requisition for amendment;
Step 2: based on the Principle of Affine Transformation of nurbs curve, the value ω of weight factor after determining to revise i '..., ω k ';
Step 3: by amended weight factor ω i '..., ω k 'replace former weight factor preset value ω i..., ω k, obtain the weight factor file ω (ω after upgrading 1, ω 2..., ω i '..., ω k '..., ω n+2).
4. a kind of rail profile profile parametric modeling method based on the adjustable weight factor of NURBS according to claim 1, is characterized in that: described step 10) in export and the data file of preserving comprises the reference mark coordinate file of rail profile profile nurbs curve, knot vector data file, weight factor data file and View Image File.
5. a kind of rail profile profile parametric modeling method based on the adjustable weight factor of NURBS according to claim 1, it is characterized in that: described weight factor data file is excel file, reference mark coordinate file is TXT file.
CN201510790076.3A 2015-11-17 2015-11-17 Parametric modeling method of rail profile shape based on NURBS adjustable weight factor Pending CN105426610A (en)

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CN106951657A (en) * 2017-03-31 2017-07-14 西安石油大学 One kind abrasion steel rail grinding target profile Fast design method
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CN109033482A (en) * 2017-06-08 2018-12-18 华东交通大学 A kind of abrasion rail type face economy polishing process
CN108875121A (en) * 2018-04-24 2018-11-23 中国铁路总公司 The method and apparatus for determining rail in high speed railway abrasion
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CN111749060A (en) * 2019-03-27 2020-10-09 中国铁道科学研究院集团有限公司 Method and device for processing steel rail grinding template

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