CN108647394A - A kind of railroad turnout steel rail Exterior Surface Design based on wheel Rail Contact Stresses - Google Patents

A kind of railroad turnout steel rail Exterior Surface Design based on wheel Rail Contact Stresses Download PDF

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Publication number
CN108647394A
CN108647394A CN201810330200.1A CN201810330200A CN108647394A CN 108647394 A CN108647394 A CN 108647394A CN 201810330200 A CN201810330200 A CN 201810330200A CN 108647394 A CN108647394 A CN 108647394A
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contact
rail
wheel
optimization
steel rail
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CN108647394B (en
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王军平
赵向东
马德礼
单连琨
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China Railway Materials General Operation and Maintenance Technology Co Ltd
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China Railway Rail Technology Service Group Co Ltd
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • EFIXED CONSTRUCTIONS
    • E01CONSTRUCTION OF ROADS, RAILWAYS, OR BRIDGES
    • E01BPERMANENT WAY; PERMANENT-WAY TOOLS; MACHINES FOR MAKING RAILWAYS OF ALL KINDS
    • E01B5/00Rails; Guard rails; Distance-keeping means for them
    • E01B5/02Rails
    • EFIXED CONSTRUCTIONS
    • E01CONSTRUCTION OF ROADS, RAILWAYS, OR BRIDGES
    • E01BPERMANENT WAY; PERMANENT-WAY TOOLS; MACHINES FOR MAKING RAILWAYS OF ALL KINDS
    • E01B7/00Switches; Crossings
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/10Geometric CAD
    • G06F30/15Vehicle, aircraft or watercraft design
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/04Ageing analysis or optimisation against ageing
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/06Power analysis or power optimisation

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  • Theoretical Computer Science (AREA)
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  • General Physics & Mathematics (AREA)
  • Mechanical Engineering (AREA)
  • Structural Engineering (AREA)
  • Evolutionary Computation (AREA)
  • Civil Engineering (AREA)
  • General Engineering & Computer Science (AREA)
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  • Aviation & Aerospace Engineering (AREA)
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  • Pure & Applied Mathematics (AREA)
  • Train Traffic Observation, Control, And Security (AREA)
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Abstract

The present invention discloses a kind of railroad turnout steel rail Exterior Surface Design based on wheel Rail Contact Stresses, the specific steps are:Original railroad turnout steel rail shape and corresponding tread contour are set, acquires and contacts stress curve between wheel track.Then interval division is carried out to contact stress curve, chooses a certain peak value and optimizes:Expected Max.contact stress is first set, the radius of curvature of the width and optimization in optimization section is then found out, then releases rail profile according to the anti-pushing manipulation of curvature is counter.According to the maximum value for contacting stress curve between wheel track, expected Max.contact stress is set, and obtains expected optimization radius of curvature and optimization interval width, then instead releases rail profile, complete railroad turnout steel rail shape is completed in splicing.Wheel Rail Contact is carried out again and calculates analysis, and the contact stress curve after being optimized and original contact stress curve comparison are changed design parameter, recalculated until meeting the requirements as undesirable.The method of the present invention design profile of steel rail stability it is good, abrasion less, it is safe.

Description

A kind of railroad turnout steel rail Exterior Surface Design based on wheel Rail Contact Stresses
Technical field
The present invention relates to a kind of railroad turnout steel rail Exterior Surface Designs, are a kind of based on wheel Rail Contact Stresses specifically Railroad turnout steel rail Exterior Surface Design.
Background technology
Track switch is an important component in railway track structure, is stock where pilot engine vehicle changes or crosses over The capital equipment in road, since its number of applications is more, structure type is complicated, travel safety is low, service life is shorter, maintenance Input is big, is one of structure most weak in track structure.Track switch is to fully meet train safely and smoothly to transport at upper track initial stage Capable, with the extension of run time, track switch gradually deforms under the load actions such as train, temperature and damage accumulation, shape State constantly deteriorates, working performance constantly reduces, and point tongue is caused fatigue crack, conquassation etc. occur.
Railroad turnout steel rail shape and dynamics of vehicle performance, the fatigue wear of rail etc. are closely related, but railroad turnout steel rail shape Design be always the problem left for a long time of railway systems.Artificial trial and error procedure is used always since railway is born!Rely on special The curve combination engineer of industry experience straight line and circular arc, then tested through wheel rail geometry the matching analysis and practice.In this way Design method can not be directly associated with the fatigue abrasion of dynamics of vehicle performance and rail, therefore also cannot be satisfied reduction Take turns the particular/special requirement of rail fatigue abrasion and contact stress.This problem is with the rapid development of high-speed railway and the big rule of city underground Mould builds more aobvious protrusion, and there is an urgent need to one can meet reduction railroad turnout steel rail contact fatigue and abrasion, and consider different wheel The scientific design method of shape.
Invention content
Good, abrasion that it is an object of the present invention to overcome the above-mentioned drawbacks of the prior art and provide a kind of stability Less, the safe railroad turnout steel rail Exterior Surface Design based on wheel Rail Contact Stresses.
The present invention is based on the railroad turnout steel rail Exterior Surface Designs of wheel Rail Contact Stresses, are realized by following step:
Step 1:Original railroad turnout steel rail shape and corresponding tread contour are given, it is indirect to acquire wheel track at different traversing amounts Touch stress curve.
Step 2:It is set at each traversing amount according to stress in the contact stress curve being calculated in step 1 according to step 1 Maximum value Pmax, set expected Max.contact stress.
Step 3:It is expected wheel Rail Contact Stresses P according to wheel track under each traversing amount is obtained in step 2exp, at the traversing amount of correspondence Contact stress curve in interpolation obtain optimization section abscissa.
Step 4:It is expected wheel Rail Contact Stresses P according to wheel track under each traversing amount is obtained in step 2exp, determine at each traversing amount Optimization radius at the contact point of rail type face.
Step 5:According to the anti-railroad turnout steel rail Optimization-type pushed away in optimization section of the desired radius of curvature obtained in step 4 Face.
Step 6:The Optimization-type face obtained in step 4 will be used in the optimization section obtained in step 3, in conjunction with optimization section It is outer to be spliced the two using original railroad turnout steel rail type face, obtain the railroad turnout steel rail profile after tentatively optimization.
Step 7:Railroad turnout steel rail profile after the preliminary optimization obtained using step 6 and wheel tread given in step 1 Shape and associated contact parameter obtain taking turns the Max.contact stress curve between wheel track at each traversing amount, and respectively to each traversing amount Max.contact stress curve is compared with the original contact stress curve obtained in step 1 between place's wheel track.If current traversing amount Contact stress is more than the contact stress curve respective value in step 1 after place's optimization, or is less than primitive curve respective value, but is more than and receives It assumes a serious expression difference, then adjusts the Max.contact stress for being expected wheel track at the traversing amount and optimization section, then execute step 4~7;Otherwise Carry out at next traversing amount that Max.contact stress curve is compared with the original contact stress curve obtained in step 1 between wheel track Compared with;Until actual design Max.contact stress is less than original maximum value, and it is less than convergence tolorence, the track switch steel after output optimization Rail type face.
The advantage of the invention is that:
1, the present invention is based on the railroad turnout steel rail Exterior Surface Designs of wheel Rail Contact Stresses, are based on the anti-pushing manipulation of railroad turnout steel rail curvature Rail type face is adjusted, Tuning function rail local optimum width easy to control and desired contact stress, while can guarantee steel Rail type face is smooth to lead.
2, the present invention is based on the railroad turnout steel rail Exterior Surface Designs of wheel Rail Contact Stresses can make by continuous iteration Maximum contact stress is decreased to minimum between wheel track.
3, the present invention is based on the railroad turnout steel rail Exterior Surface Designs of wheel Rail Contact Stresses, can ensure the contact between wheel track as possible The position of point does not change.
4, the present invention is based on the railroad turnout steel rail Exterior Surface Designs of wheel Rail Contact Stresses, and the railroad turnout steel rail after optimization can reduce Abrasion between wheel track extend the service life of rail.
Description of the drawings
Fig. 1 is that the present invention is based on the railroad turnout steel rail Exterior Surface Design flow charts of wheel Rail Contact Stresses;
Fig. 2 is that the present invention is based on the optimization section set in the railroad turnout steel rail Exterior Surface Design of wheel Rail Contact Stresses signals Figure;
Fig. 3 is that the present invention is based on different curvature radius on rail in the railroad turnout steel rail Exterior Surface Design of wheel Rail Contact Stresses Change curve schematic diagram between contact stress.
Specific implementation mode
Invention is further described in detail below in conjunction with the accompanying drawings.
A kind of railroad turnout steel rail Exterior Surface Design based on wheel Rail Contact Stresses, as shown in Figure 1, including the following steps:
Step 1:Obtain wheel Max.contact stress curve between wheel track under different traversing amounts;
Given wheel tread shape, railroad turnout steel rail shape to be optimized and relevant wheel-rail contact parameter, according to wheel track Geometric match calculates, and wheel is found out to Maximum Contact between Wheel Rail Contact range and wheel track at different traversing amounts using Hertzian contact theory Stress, you can obtain at each traversing amount Max.contact stress curve between wheel track.
Step 2:Set wheel Rail Contact Stresses expected from wheel track under each traversing amount;
According to stress maximum value P in the contact stress curve being calculated in step 1maxTo determine wheel track at each traversing amount The contacting points position in railroad turnout steel rail type face and wheel profile, and the radius of curvature of rail and wheel contact point can be found out, it is based on Contact stress maximum value PmaxSet the desired value P of contact stressexp
Pexp=Pmax-kp(Pmax-Pave)(0≤kp≤1)
Wherein, PaveFor PmaxLocate the mean exposure stress in wheel track actual contact area, kpFor regulation coefficient, value range For (0,1), if regulation coefficient is too small, it is expected that contact stress is in rail radius of curvature and contact stress curve P=Hetze (Rr) Occur, to extrapolated value, causing this method that can not continue in curve.Therefore, if there is such case, by adjusting coefficient kp The case where by being avoided the occurrence of to extrapolated value by the method subtracted certainly.
Step 3:It is expected wheel Rail Contact Stresses P according to wheel track under each traversing amount is obtained in step 2exp, at the traversing amount of correspondence Contact stress curve in interpolation obtain opposite abscissa, as optimize the abscissa in section;As shown in Figure 1, current traversing The abscissa in amount lower optimization section is hB~hC.Ranging from local optimum section between two abscissas.
Step 4:The optimization radius at each traversing amount at the contact point of rail type face is determined according to expected contact stress;
It enables the position of Wheel/Rail Contact Point not change, changes the radius of curvature at Wheel/Rail Contact Point, utilize Hertz contact Theory can obtain the contact stress maximum value P=Hetze (R under different rail radius of curvaturer), as shown in Fig. 2, can obtain Change curve on to rail between different curvature radius and contact stress.It is answered according to the expected desired contact of wheel track in step 2 Power Pexp, contact stress maximum value P when in conjunction with different curvature radius can be in the hope of the desired curvature radius at Wheel/Rail Contact Point.
Step 5:The railroad turnout steel rail optimization in optimization section counter can be pushed away according to the desired radius of curvature obtained in step 4 Type face:
Step 6:Complete rail profile is obtained by splicing.
The Optimization-type face obtained in step 4 will be used in the optimization section obtained in step 3, in conjunction with use outside optimization section Original railroad turnout steel rail type face, the two is spliced, so that it may to obtain the railroad turnout steel rail profile after tentatively optimization.If splicing There are vertical alternate position spikes with initial protion for the parts Shi Youhua, then to optimize based on the profile of part, reduce or improve respectively optimization The method of initial protion profile of steel rail inside and outside the profile of part is spliced.
Step 7:It carries out Wheel Rail Contact and calculates analysis;
Railroad turnout steel rail profile after the preliminary optimization obtained using step 6 and the wheel tread shape given in step 1 and Associated contact parameter is found out using Hertzian contact theory and is taken turns between wheel track under each traversing amount most according to wheel rail geometry matching primitives Large contacting stress curve, and Max.contact stress curve original connects with what is obtained in step 1 between wheel track at each traversing amount respectively Tactile stress curve is compared.If contact stress is more than the contact stress curve in step 1 and corresponds to after optimizing at current traversing amount Value, or it is less than primitive curve respective value, but be more than convergence tolorence, then adjust the Max.contact stress that wheel track is expected at the traversing amount And optimization section, then execute step 4~7;Otherwise Max.contact stress curve and step 1 between wheel track are carried out at next traversing amount In obtained original contact stress curve be compared.Until actual design Max.contact stress is less than original maximum value, and Less than convergence tolorence, the railroad turnout steel rail type face after output optimization.

Claims (3)

1. a kind of railroad turnout steel rail Exterior Surface Design based on wheel Rail Contact Stresses, it is characterised in that:It is realized by following step:
Step 1:Original railroad turnout steel rail shape and corresponding tread contour are given, acquires to contact between wheel track at different traversing amounts and answer Force curve;
Step 2:It is set according to step 1 maximum according to stress in the contact stress curve being calculated in step 1 at each traversing amount Value Pmax, set expected Max.contact stress;
Step 3:It is expected wheel Rail Contact Stresses P according to wheel track under each traversing amount is obtained in step 2exp, connecing at the traversing amount of correspondence It touches interpolation in stress curve and obtains optimization section abscissa;
Step 4:It is expected wheel Rail Contact Stresses P according to wheel track under each traversing amount is obtained in step 2exp, determine rail at each traversing amount Optimization radius at the contact point of type face;
Step 5:According to the anti-railroad turnout steel rail Optimization-type face pushed away in optimization section of the desired radius of curvature obtained in step 4;
Step 6:The Optimization-type face obtained in step 4 will be used in the optimization section obtained in step 3, be adopted outside section in conjunction with optimizing With original railroad turnout steel rail type face, the two is spliced, obtains the railroad turnout steel rail profile after tentatively optimization;
Step 7:Railroad turnout steel rail profile after the preliminary optimization obtained using step 6 and wheel tread shape given in step 1 With associated contact parameter, obtain taking turns the Max.contact stress curve between wheel track at each traversing amount, and respectively to taking turns at each traversing amount Max.contact stress curve is compared with the original contact stress curve obtained in step 1 between rail;If excellent at current traversing amount Contact stress is more than the contact stress curve respective value in step 1 after change, or is less than primitive curve respective value, but holds more than convergence Difference then adjusts the Max.contact stress for being expected wheel track at the traversing amount and optimization section, then executes step 4~7;Otherwise it carries out Max.contact stress curve is compared with the original contact stress curve obtained in step 1 between wheel track at next traversing amount;Directly It is less than original maximum value to actual design Max.contact stress, and is less than convergence tolorence, the railroad turnout steel rail type after output optimization Face.
2. a kind of railroad turnout steel rail Exterior Surface Design based on wheel Rail Contact Stresses as described in claim 1, it is characterised in that:Step In rapid 2, it is contemplated that Max.contact stress is:
Pexp=Pmax-kp(Pmax-Pave) (0≤kp≤1)
Wherein, PaveFor PmaxLocate the mean exposure stress in wheel track actual contact area, kpFor regulation coefficient.
3. a kind of railroad turnout steel rail Exterior Surface Design based on wheel Rail Contact Stresses as described in claim 1, it is characterised in that:Step In rapid 5, railroad turnout steel rail Optimization-type mask body is realized by following formula:
yi+1=yi+Rri×(-sin(θi)+sin(θi+li/Rri))
zi+1=zi+Rri×(cos(θi)-cos(θi+li/Rri))
In formula, (yi,zi) and (yi+1,zi+1) be respectively on rail type face i-th and i+1 point the directions y and z on coordinate position, The directions y are laterally that the directions z are vertical.RriFor i-th point of radius of curvature;θiIn radius it is Rr for i-th pointiCircular arc on Angle;liFor the displacement between i-th and i+1 point.
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CN112836272A (en) * 2021-01-20 2021-05-25 北京交通大学 Neural network model-based high-speed railway steel rail profile optimization design method
CN114218643A (en) * 2021-12-16 2022-03-22 上海应用技术大学 Rapid design method of steel rail profile

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CN112507478A (en) * 2020-11-16 2021-03-16 中国铁道科学研究院集团有限公司铁道建筑研究所 60kg/m steel rail profile improvement method
CN112507478B (en) * 2020-11-16 2024-01-30 中国铁道科学研究院集团有限公司铁道建筑研究所 60kg/m steel rail profile improvement method
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CN112836272B (en) * 2021-01-20 2023-09-01 北京交通大学 High-speed railway steel rail profile optimization design method based on neural network model
CN114218643A (en) * 2021-12-16 2022-03-22 上海应用技术大学 Rapid design method of steel rail profile
CN114218643B (en) * 2021-12-16 2024-09-13 上海应用技术大学 Quick design method for steel rail profile

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