CN108121884A - A kind of design method of high speed circuit cross-sectional line shape - Google Patents
A kind of design method of high speed circuit cross-sectional line shape Download PDFInfo
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Abstract
The present invention proposes that a kind of cross section by determining track developed width calculating derivation high speed circuit circular curve and transition curve path section is linear, solve the accurate cross section of high speed circuit, foundation is provided for the reasonably optimizing in cross section, so as to effectively reduce roadbed filling height and fill out earth excavation amount, reduce the design method of the high speed circuit cross-sectional line shape of the sketch plate number of blocks of cement concrete pavement, it effectively solves the problems, such as transition curve path section road level change width, improves design rationality.It comprises the following steps：By introducing Gaussian elimination method, it is linear to calculate cross section parabola；Determine horizontal width corresponding track chord length in track on cross section；Section dichotomy is recycled to iterate so that target track chord length approaches design load, obtains final track horizontal width and filled height, so that it is determined that cross section is final linear.
Description
Technical field
The present invention relates to the geometry designs technical fields of proving ground high speed circuit, are specially that one kind is mainly used at a high speed
The linear geometric design method in circuit bend section cross section.
Background technology
Main body facility of the high speed circuit as proving ground, general requirement is on fairly limited place using special
Geometric design method carries out continuous high speed running test for automobile and provides effective, safe and pleasant service condition.It is flat
The technical requirements such as sweep, horizontal superelevation all much breach the limitation of freeway geometry designing technique standard.Separately
On the one hand, the racetrack portion of high speed circuit is totally different from Ordinary Rd, and the geometrical property of space three-dimensional curved surface is to vehicle height
Speed security when driving, comfort all have larger impact.These features of high speed circuit are determined to high speed circuit geometry
Designing technique go deep into systematic research with special important meaning.
Identical with ordinary highway, the cross-sectional design of high speed circuit also includes track quantity and width of roadway really at present
Fixed, cross section curve form selection etc..Cross section in linear section is set typically according to the needs of road surface drainage
Meter, and then to need to consider the centrifugal force size of Ackermann steer angle, the antidumping of vehicle when driving steady in the cross section of racetrack portion
Lateral adhesion coefficient, road surface transverse drainage between qualitative, tire and road surface etc. are because being usually designed.It is repaiied according to countries in the world
The experience of high speed circuit is built, road level projection width is generally 3.75~4.5m.For the special skid pad of car, then at a high speed
The one-lane width of circuit can suitably reduce.
Existing cross section Alignment Design on design and calculation method there is limitation and deficiency, when being mainly reflected in design
It is mostly calculated using track horizontal width, when road horizontal slope is smaller (low speed carriage way), track horizontal width can be approximate equivalent
In track developed width, but when road horizontal slope is larger (speed way), track developed width can reach horizontal width 1.2~
1.5 times, roadbed height will increased so that roadbed earth volume and energy consumption of vehicles also substantially increase.It is mixed in addition, working as using cement
During solidifying soil surface, traditional design method can also generate substantial amounts of abnormity concrete plate, increase difficulty of construction.Therefore, improve high
Fast circuit cross-sectional design computational methods are not only related to the operational safety of high speed circuit, service efficiency etc., more to project cost,
Arrangement and method for construction, later maintenance etc. have profound influence.As the construction scale of high speed circuit is continuously increased, experiment speed is not
Disconnected to be promoted, the limitation of existing method will be apparent from, and it is imperative to improve traditional design method.
The content of the invention
It is an object of the invention to propose it is a kind of by determine track developed width calculate derive high speed circuit circular curve and
The cross section of transition curve path section is linear, solves the accurate cross section of high speed circuit, foundation is provided for the reasonably optimizing in cross section,
So as to effectively reduce roadbed filling height and fill out earth excavation amount, the high-speed loop of the sketch plate number of blocks of cement concrete pavement is reduced
The linear design method in road cross section, it effectively solves the problems, such as transition curve path section road level change width, improves design
Reasonability.
The present invention is different from traditional cross section geometric design method, by introducing Gaussian elimination method, calculates cross section and throws
Object line is linear, and then determines horizontal width corresponding track chord length in track on cross section, and section dichotomy is recycled to iterate,
So that target track chord length approaches design load, final track horizontal width and filled height are obtained, so that it is determined that cross section
Final linear, for idiographic flow referring to Fig. 4, specific algorithm is as follows.
1st, constraints：Starting point horizontal slope, starting point coordinate, connecting points are continuous and derivative is continuous, road superelevation, design speed and
The relation of circular curve radius, as shown in Figure 1.
Z=f (x) is made, when the linear polynomial most high-order term of each track curve in cross section is four times, there is z=f (x)=a
+bx+cx2+dx3+ex4, for adjacent curve multinomial when most high-order term is identical, height difference Equation f (x) is identical.
It can be then expressed as by each section of cross section and the height difference of track minimum point of low speed carriage way to speed way：
In formula, x --- cross section arbitrary point and the horizontal distance (m) of low speed carriage way inside edge line；
zi--- the i-th track cross section arbitrary point and the height difference (m) of low speed carriage way inside edge line；
wi--- the i-th track horizontal width (m) (i=1,2,3,4).
A or a in above formula in each polynomial equationiTrack continuity equation can be utilized to solve, i.e.,：
Assuming that track starting point is (0,0)
f1(0)=0 (2)
First lane meets continuity with linear at second lane line of demarcation, and gained constraints is：
f1(w1)=f2(w1) (3)
Second lane meets continuity with linear at third lane line of demarcation, and gained constraints is：
f2(w1+w2)=f3(w1+w2) (4)
Linear at third lane and Four-Lane Road line of demarcation to meet continuity, gained constraints is：
f3(w1+w2+w3)=f4(w1+w2+w3) (5)
B or b in above formula in each polynomial equationi, c or ci, d or di, e or eiIt can be counted using track superelevation angle
It calculates, the main equilibrium equation in corner track is met as calculation basis using cross section superelevation, i.e. lane center on the parabola of cross section
The slope k at place should meet (referring to Fig. 7)：
In formula, v --- lane design speed (m/s)；
R --- curved section arbitrary point radius (m)；
G --- acceleration of gravity (m/s2)。
At this point, on cross section any point slope
In formula, k --- the slope of cross section arbitrary point；
θ --- the superelevation angle (°) of arbitrary point on cross section.
According to four track center line superelevation angles and design speed relation, gained constraints is：
In addition to conditions above is met, consider that the multiple parabola in cross section is also from line smoothing and curve drainage requirement angle
Following condition need to be met：
(1) drainage requirement is met, gained constraints is：
f′1(0)=i (9)
(2) first lane meets slickness with linear at second lane line of demarcation, and gained constraints is：
f′1(w1)=f '2(w1) (10)
(3) second lane meets slickness with linear at third lane line of demarcation, and gained constraints is：
f′2(w1+w2)=f ＇3(w1+w2) (11)
(4) linear at third lane and Four-Lane Road line of demarcation to meet slickness, gained constraints is：
f′3(x)=(w1+w2+w3)=f '4(w1+w2+w3) (12)
Note：If first lane is linear when being an order polynomial, takes into account draining and track center line superelevation angle and closed with design speed
System, first lane center line superelevation angle and design speed relation and drainage condition are merged into：
In formula：
I --- starting point horizontal slope angle；
R --- curved section arbitrary point radius (m)；
G --- acceleration of gravity (m/s2)；
vi--- the i-th lane design speed (m/s)；
wi--- the i-th track horizontal width (m)；
fi(x) --- the i-th track cross section is linear.
2nd, according to linear constraints condition, coefficient matrix can be represented as follows：
XA=r (14)
In formula：
In formula：
16 × 16 coefficient matrix of x --- matrix A
A --- linear 16 × 1 coefficient matrix of f (x) in track cross section
R --- system of linear equations constant term matrix
xi--- at each track obligatory point with the horizontal distance of low speed carriage way inside edge line
| x1 | x2 | x3 | x4 |
| 0 | w1 | w1+w2 | w1+w2+w3 |
| x5 | x6 | x7 | x8 |
| w1/2 | w1+w2/2 | w1+w2+w3/2 | w1+w2+w3+w4/2 |
If matrix x is nonsingular, i.e. determinant det x ≠ 0 of x is then write from memory (Cramer) rule according to carat, equation group
XA=r has unique solution.But Cramer's rule cannot be used for solving system of linear equations.
By the augmented matrix of system of linear equations (1)It is about melted into following three Applying Elementary Row OperationsForm, wherein matrix U is upper triangular matrix：
(1) multiple of the i-th row is subtracted from jth row, generates new jth row；
(2) i, two rows of j are exchanged；
(3) certain a line is multiplied with non-zero number；
Thus obtained matrix U and original matrix x are of equal value, and system of linear equations is the same as solution.
The Existence problems of system of linear equations root can be judged with the order of coefficient matrix and augmented matrix, if there is solution,
There are infinite solution or unique solution.
When coefficient matrix sum of ranks augmented matrix it is unequal when：
(1) cross section is linear discontinuous, and the superelevation inclination angle on road surface is more than very likely the limiting gradient of curved surface construction, is increased
High-speed test (HST) vehicle scrambles for roads traveling and the possibility driven over the speed limit, is unfavorable for testing the safe operation of high speed circuit.
(2) cross section can not meet the design speed of speed way, and vehicle is caused to be turned on one's side.
Therefore：
1. when the order of the order ＜ augmented matrixes of coefficient matrix, no solution；
2. when the number of order=unknown quantity of order=augmented matrix of coefficient matrix, there is unique solution；
3. when the number of the order ＜ unknown quantitys of order=augmented matrix of coefficient matrix, there is infinite solution.
Under the conditions of existing for system of linear equations root, take into full account linear continuous and derivable feature and vehicle is caused to scramble for roads row
The Correlative Influence Factors such as the safety issue sailed and driven over the speed limit judge whether cross section is linear true, it is screened, choosing
Reasonable reliable linear combination is taken, must be met claimed below：
(1) ensure that continuous and smooth running car barycenter trajectory, continual curvature and curvature variation are continuous, keep high-speed loop
Overall aesthetic of the road surface on cross section is linear；
(2) ensure that the generated centrifugal force in high vehicle speeds is supported by the horizontal superelevation in high speed circuit cross section
Disappear, thus the relation between cornering ratio and design speed, sweep and superelevation horizontal slope must be met；
(3) ensure later stage roadbed stability and operation during security, consider the antidumping of vehicle when driving
Stability.
3rd, during being calculated due to width, cross section is linear in constantly variation, linear to calculate cross section, needs to introduce
Coefficient matrix is about turned to upper triangular matrix by Gauss (Gauss) elimination, basic principle with the elementary row operations of matrix, then into
Row back substitution solves.Under the conditions of online pictograph conjunction is rational, note
The first step calculates row multiplierIf), it obtains elementary
Transformation matrix
Premultiplication augmented matrixIt can obtain
Assuming that after -1 step of kth, augmented matrix is obtainedIfKth walks, and calculates row
MultiplierThen elementary row operations matrix is
Premultiplication augmented matrixIt can obtain
Above-mentioned steps are continued, after repeating n-1 times, obtain the triangulated linear equation with former Equivalent Linear Systems
Group
In formula：
T(n)=Qn-1Qn-2...Q1T(1)For upper triangular matrix.
It is forward steps by the process that (6) turn to (11).The solution of formula (20) is obtained with the method for back substitution, is backward steps.
All the Principal Minor Sequences are not zero, and the calculation formula of the member that disappears and back substitution is：
1. the member that disappears calculates
For k=1,2 ..., n-1,
2. back substitution calculates
3. the b or b that are acquired according to Gaussian eliminationi, c or ci, d or di, e or ei, a or a are asked with reference to track continuity equationi。
4th, track chord length calculates
Referring to Fig. 8, by taking Four-Lane Road as an example, track chord length is
In formula：
L --- track chord length (m)；
Δ x --- each track terminus is to the difference (m) of the horizontal distance of low speed carriage way inside edge line；
Δ z --- each track terminus is to the difference (m) of the height difference of low speed carriage way inside edge line.
5th, the cross section solved more than Gauss (Gauss) elimination is linear, calculates chord length, by section dichotomy repeatedly
Iteration optimizes from speed way to low speed carriage way successively, and basic thought is：Referring to Fig. 3, progressively two by stages [0, wi](wiVehicle
Road floor projection width), by track horizontal width reverse lane width, by judging track starting point to the track string of interval midpoint
The long size with Design Lane width further reduces section so that [mi, ni] interval width ε=ni-mi≤ the limits of error, so as to
Approach the approximation for meeting required precision.
(1) two by stages [0, wi], so that midpointUsing midpoint as track terminal, determined by Gaussian elimination method new
Linear, the parabolical chord length L in calculation optimization cross section compares the size of L and actually required width s.If L ＞ s, make m1=0,New section is [m1, n1].If L ＜ s, ordern1=wi, new section is [m1, n1].If area
Between width n1-m1In the range of the limits of error, the track horizontal width is made to beCalculating terminates.If interval width n1-m1It is more than
The limits of error then continues two by stages and determines new section and track horizontal width.
(2) two by stages [m1, n1], obtain midpointIt is true by Gaussian elimination method using this midpoint as track terminal
It is fixed new linear, chord length L is calculated, compares L and actually required width s sizes.If L ＞ s, make m2=0,Newly
Section be [m2, n2].If L ＜ s, order New section is [m2, n2].If interval width
n2-m2In the range of the limits of error, the track horizontal width is made to beCalculating terminates.If interval width n2-m2More than error
Limit, then continue two by stages and determine new section and track horizontal width.
(3) so go on, referring to Fig. 2, Fig. 3, finally meet the requirement of precision, obtain section [mi, ni], section is wide
Spend ε=ni-mi≤ the limits of error, withAs track terminal, track horizontal width is
(4) when optimizing Four-Lane Road, the approximation for meeting required precision is obtained by above step；
(5) when optimizing a plurality of track, optimize from speed way to low speed carriage way, using above step, Query refinement,
Respectively so that the final interval width ε≤limits of error in each track, you can track horizontal width is acquired, so that it is determined that cross-sectional design
It is linear；
During design, can the optimization of more different tracks as a result, from the applicability of calculating, efficiency of optimization etc., choosing
It selects most rationally, efficiently optimizes linear.
The invention discloses a kind of proving ground high speed circuit the linear design method in cross section, feature is：
1) this high speed circuit cross-sectional line shape design method calculates the horizontal stroke in bend section using the method for long calculated altitude of tuning up
Section is linear.The speed way road gradient of traditional design method is larger, causes track chord length much larger than horizontal width, beyond reality
Lane width needed for border.The method can effectively improve horizontal stroke with accurate calculation track horizontal width and actual filled height
The computational accuracy of section improves subgrade stability and travel safety by reducing depth of fill.It can realize the excellent of multilane
Change and solve.
2) using Gaussian elimination method in this method calculating process, by the arithmetical operation of limited number of time, by computation complexity control
System within the acceptable range, ensures the stability of numerical computations, optimizes the calculating of cross section linear equations, relatively low for exponent number
System of linear equations it is more effective, it is low order dense matrix to be especially suitable for system of linear equations coefficient matrix.
3) during width calculating, by using section dichotomy, by track horizontal width reverse developed width, obtain
Meet the numerical solution of the width of certain required precision, optimize successively into line width from speed way and calculate, more different tracks
Optimization efficiency problem, so that it is determined that high speed circuit cross-sectional line shape.
The linear optimum design method in cross section in the present invention, key technology solve track water in traditional design method
The problem of flat width has big difference with track developed width substitutes directly definite track horizontal width by calculating track chord length
Method effectively reduces depth of fill, saves road and takes up an area, improves the stability of roadbed, simplifies Cement Concrete Pavement Slab block and sets
Meter reduces the difficulty of construction on road surface and fills out excavation requirement, and effective foundation is provided for more rational design.
Description of the drawings
Fig. 1 cross sections calculate schematic diagram
Fig. 2 dichotomy Computing Principle schematic diagrames
Fig. 3 dichotomy calculation flow charts
The linear geometric design method flow chart in Fig. 4 cross sections
Fig. 5 be each track horizontal width changes along length of transition curve under different number of track-lines prioritization schemes comparison diagram (with
Bloss length of curve 400m, circular curve radius 500m, lane width 4m, speed distribution respectively 70km/h, 120km/h,
Exemplified by 180km/h, 220km/h)
Fig. 6 is using traditional design method and circular curve section track horizontal width and roadbed height pair under this optimization method
Than figure, (with circular curve radius 500m, lane width 4m, speed distribution is respectively 70km/h, 120km/h, 180km/h, 220km/h
Exemplified by)
Fig. 7 is the force diagram of vehicle on high speed circuit bend when driving
Fig. 8 is track chord length schematic diagram.
Specific embodiment
Example is designed by taking the 1-3-3-3 curve types of cross section as an example, the desin speed in four tracks be respectively 70km/h,
120km/h, 180km/h and 220km/h, circular curve radius 500m, by determining that track developed width calculates track superelevation
It is linear to acquire cross section lane design for method.
Exemplified by optimizing the 4th track, detailed process is as follows.
Step 1：It is assumed that by introducing Gaussian elimination method, calculate that cross section parabola is linear to be
Design example is cross section 1-3-3-3 curve types, since adjacent curve multinomial most high-order term is identical, height difference
Equation f (x) is identical, then a2=a3=a4=a, thus cross section is linear is reduced to
Step 2：According to design example, it is as follows to conclude cross section parabola linear constraints equation
Step 3：With reference to parabola is linear and constraint equation obtains the cross section of Gaussian elimination and linear is
Step 4：It is linear according to cross section, Four-Lane Road chord length is calculated,
Step 5：Section dichotomy optimization chord length, convergence Design Lane width meet available accuracy requirement
(1) two by stages [0,4], so that midpoint 2, using midpoint as track terminal, is determined new by Gaussian elimination method
It is linear to be
The parabolical chord length L=2.5236 in calculation optimization cross section compares the size of L and actually required width s=4.L ＜
S makes m1=2, n1=4, new section is [2,4].Interval width n1-m1Outside limits of error scope, then continue two by stages and determine
New section and track horizontal width.
(2) two by stages [2,4], obtain midpoint 3, using this midpoint as track terminal, are determined by Gaussian elimination method new
It is linear to be
Chord length L=3.7845 is calculated, compares the size of L and actually required width s=4.L ＜ s, make m2=3, n2=4, newly
Section be [3,4].Interval width n1-m1Outside limits of error scope, then continue two by stages and determine that new section and track are horizontal
Width.
(4) two by stages [3,4], obtain midpoint 3.5, using this midpoint as track terminal, are determined newly by Gaussian elimination method
Linear be
Chord length L=4.4142 is calculated, compares the size of L and actually required width s=4.L ＞ s, make m2=3, n2=3.5,
New section is [3,3.5].Interval width n1-m1Outside limits of error scope, then continue two by stages and determine new section and track
Horizontal width.
(4) so go on, finally meet the requirement of precision, track chord length is 4, and Four-Lane Road horizontal width is
3.171045508。
Similar 4th track of optimum design method in other tracks, but when carrying out dichotomy calculating, need to ensure that track is linear
Meet each track developed width simultaneously.Optimization need to be carried out at the same time during optimization design by the principle from speed way to low speed carriage way.
Specific result of calculation such as following table：
Fig. 5 be optimization one, two, three, four tracks Shi Ge tracks horizontal width changes along length of transition curve
Comparison diagram.Abscissa in Fig. 5 is length of curve, unit m, and ordinate is track horizontal width, unit m.
Fig. 6 is using traditional design method (track is without optimization) and circular curve section when optimization one, two, three tracks
Track horizontal width and roadbed degree of contrast figure.
It can be drawn the following conclusions according to result of calculation (referring to table 1) and Fig. 5,6：
Table 1：Using circular curve section track horizontal width and roadbed degree of contrast under traditional design method and optimization method
As a result table
(1) cross section of different linear combinations is calculated, it is found that the 3rd Four-Lane Road, as road width, is obtained using lane width
The earth volume consumption gone out is more.
(2) if necessary to the width of optimization multilane, it is necessary to which simultaneous equations, can not establish an equation to single track solution, institute
Should be no solution in the hope of accurate solution.
(3) when calculating multilane, the larger track of the third and fourth track amplitude of variation, first, second track are only calculated
Influence to width can be ignored substantially.
The linear design method in cross section proposed by the present invention has following features compared with traditional design method：
(1) cross section superelevation angle and the selection of transverse projection length are calculated for the accurate of earth volume there are certain error,
High speed circuit cross section is considered there are larger superelevation angle, this computational methods optimization cross section reduces and fills out earth excavation amount.
(2) the rough property calculated compared to traditional design method determines arc length using Gaussian elimination and height is asked to calculate cross section
Linear equations, computational accuracy can be improved by iterating by section dichotomy, and solve traditional dichotomy multilane optimization
When endless loop problem.
(3) what the phenomenon that solving the variation issue of transition curve path section width, broadening to bend section was become more meticulous
It calculates, accomplishes effectively to improve.
(4) the optimization efficiency problem in different tracks is compared, selects most efficiently, it is linear to calculate most suitably used optimization.
The design method of high speed circuit cross-sectional line shape optimization of the present invention has been broken the cross-section surface curve of high speed circuit tradition and has been set
The high pattern of fixed width is counted, based on design philosophy of the driver to horizontal speed Spreading requirements is met, solves high speed circuit horizontal stroke
The technical barrier of the geometry designs of section.Using track developed width as design standard, the stabilization of later stage roadbed is not only increased
Property, and the security and comfort level during vehicle operation are improved, and reduce difficulty of construction and fill out excavation requirement etc..
On the basis of the existing construction of analysis high speed circuit with achievement in research, by in-depth study and discussion, from difference
Angle improve the geometry designs computational methods linear with Developing High-speed circuit cross section, the design of high speed circuit from now on and to apply
Work provides more valuable achievement, and it is desirable that the development of high speed circuit cross section geometry designs theory and technology is promoted with this.
Claims (4)
1. a kind of design method of high speed circuit cross-sectional line shape, it is characterized in that：Comprise the following steps：A, disappeared by introducing Gauss
It is linear to calculate cross section parabola for first method；B, horizontal width corresponding track chord length in track on cross section is determined；C, area is recycled
Between dichotomy iterate so that target track chord length approaches design load, obtains final track horizontal width and filled height,
So that it is determined that cross section is final linear.
2. design method as described in claim 1, it is characterized in that：In step c, progressively two by stages [0, wi], wherein wiTrack
Floor projection width, by track horizontal width reverse lane length, by judging track starting point to the track chord length of interval midpoint
With the size of actually required width, section is further reduced so that [mi, ni] interval width ε=ni-mi≤ the limits of error, so as to force
The nearly approximation for meeting required precision.
3. design method as described in claim 1, it is characterized in that：The detailed process of step c is：
(1) two by stages [0, wi], with midpointAs track terminal, determine that new cross section parabola is linear by step a,
Track chord length L is calculated by step b, compares the size of track chord length L and actually required width s；If L ＞ s, make m1=0,New section is [m1, n1]；If L ＜ s, ordern1=wi, new section is [m1, n1]；If section
Width n1-m1In the range of the limits of error, the track horizontal width is made to beCalculating terminates；
(2) if interval width n1-m1More than the limits of error, then continue two by stages [m1, n1], obtain midpointWith this midpoint
It as track terminal, determines that new cross section parabola is linear by step a, track chord length L is calculated by step b, compares vehicle
The size of road chord length L and actually required width s；If L ＞ s, make m2=0,New section is [m2, n2]；Such as
Fruit L ＜ s, order New section is [m2, n2]；If interval width n2-m2In limits of error scope
It is interior, make the track horizontal width beCalculating terminates；If interval width n2-m2More than the limits of error, then continue two by stages
Determine new section and track horizontal width；
(3) so go on, obtain section [mi, ni], withAs track terminal, track horizontal width is
4. design method as described in claim 1, it is characterized in that：When optimizing a plurality of track, from speed way to low-speed vehicle
Road optimization divided lane optimization, the interval width ε≤limits of error for causing each track final respectively, you can it is horizontal wide to acquire each track
Degree, so that it is determined that cross-sectional design is linear.
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| CN201810042748.6A CN108121884B (en) | 2018-01-16 | 2018-01-16 | Design method for linear cross section of high-speed loop |
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| CN110470274A (en) * | 2019-08-29 | 2019-11-19 | 江西科技学院 | A method of the measurement vertical section of road surface curve decomposed by Doolittle |
| CN111785338A (en) * | 2020-07-16 | 2020-10-16 | 山东交通学院 | Grading method, system, medium and equipment suitable for regenerated asphalt mixture |
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| CN113152224A (en) * | 2021-04-27 | 2021-07-23 | 上海奥建道路设施技术有限公司 | Method for making curved surface of steel mould for paving of integral crossing |
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| CN114141011A (en) * | 2021-11-23 | 2022-03-04 | 北京安融畅信息技术有限公司 | Steep slope and continuous downhill road section identification method and potential safety hazard troubleshooting method |
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| CN109064877A (en) * | 2018-08-20 | 2018-12-21 | 武汉中海庭数据技术有限公司 | Mutation center line smoothing method, device and storage medium based on high-precision map |
| CN109064877B (en) * | 2018-08-20 | 2020-12-29 | 武汉中海庭数据技术有限公司 | Abrupt center line smoothing method and device based on high-precision map and storage medium |
| CN110136439B (en) * | 2019-05-15 | 2021-06-01 | 东南大学 | Lane width design method suitable for automatic driving vehicle |
| CN110136439A (en) * | 2019-05-15 | 2019-08-16 | 东南大学 | A kind of lane width design method suitable for automatic driving vehicle |
| CN110470274A (en) * | 2019-08-29 | 2019-11-19 | 江西科技学院 | A method of the measurement vertical section of road surface curve decomposed by Doolittle |
| CN110470274B (en) * | 2019-08-29 | 2021-03-19 | 江西科技学院 | Method for measuring pavement longitudinal section curve through Doolittle decomposition |
| CN111785338A (en) * | 2020-07-16 | 2020-10-16 | 山东交通学院 | Grading method, system, medium and equipment suitable for regenerated asphalt mixture |
| CN111785338B (en) * | 2020-07-16 | 2023-06-27 | 山东交通学院 | Grading method, grading system, grading medium and grading equipment suitable for recycled asphalt mixture |
| CN113127956A (en) * | 2021-04-08 | 2021-07-16 | 中国电建集团中南勘测设计研究院有限公司 | Road intersection three-center circle side line calculation method and system and starting point determination method |
| CN113152224A (en) * | 2021-04-27 | 2021-07-23 | 上海奥建道路设施技术有限公司 | Method for making curved surface of steel mould for paving of integral crossing |
| CN113742812A (en) * | 2021-07-15 | 2021-12-03 | 河南职业技术学院 | Road engineering vertical section vertical curve design method based on quartic curve |
| CN113742812B (en) * | 2021-07-15 | 2024-01-12 | 河南职业技术学院 | Road engineering vertical section vertical curve design method based on four-time curve |
| CN114141011A (en) * | 2021-11-23 | 2022-03-04 | 北京安融畅信息技术有限公司 | Steep slope and continuous downhill road section identification method and potential safety hazard troubleshooting method |
| CN114141011B (en) * | 2021-11-23 | 2022-09-27 | 北京安融畅信息技术有限公司 | Steep slope and continuous downhill road section identification method and potential safety hazard troubleshooting method |
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