CN109543149A - A kind of rainy day bituminous pavement safe-stopping sight distance calculation method - Google Patents
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Abstract
The invention discloses a kind of rainy day bituminous pavement safe-stopping sight distance calculation method, method includes the following steps: 1, on the basis of considering rainfall intensity and road surface resultant gradient, derived reasonable water film thickness theoretical formula；2, the functional relation that road surface anti-slip index pendulum value, that is, BPN value changes with water film thickness is returned out according to measured data；Water film thickness theoretical formula and regression function relational expression are recombined, derives the functional relation of BPN value Yu rainfall intensity and road surface resultant gradient；3, by the functional relation of profile frictional coefficient this Index Establishment BPN and stopping sight distance；4, combination is Step 2: relational expression obtained by step 3, derives the direct relation formula of rainy day bituminous pavement safe-stopping sight distance Yu rainfall intensity and road surface resultant gradient.The present invention is suitable for the calculating of rainy day bituminous pavement safe-stopping sight distance, can effectively solve the problems, such as rainy day water film thickness measurement difficulty and rainy day vehicle safe driving, easy to operate.
Description
Technical field
The present invention relates to a kind of rainy day bituminous pavement safe-stopping sight distance calculation methods, belong to rainy day bituminous pavement security row
Sail technical field.
Background technique
When road surface is in dampness, it will form water membrane between tire and road surface, obstructed the contact of the two,
Under flowing pressure effect, the attachment coefficient between tire and road surface becomes smaller, and it is existing vehicle water skiing easily occur for pavement skid resistance condition decline
As leading to automobile brake apart from elongated, so the rainy day is the high-incidence season of traffic accident.Therefore research rainfall road pavement antiskid performance
It influences, improve rainy day road traffic safety, be problem in the urgent need to address.
Moisture film be cause rainy day pavement skid resistance condition decline an important factor for, water film thickness mainly with rainfall intensity, road surface
The gradient is related with length of grade.Domestic and foreign scholars have found that road friction coefficient increases with water film thickness and reduced by numerous studies, and
Under same water film thickness, the antiskid performance on new road surface is better than old pavement.Current research resists using water film thickness as road surface mostly
The direct evaluation index of slip energy, however rainy day rain water depth on road surface is not easy directly to measure, and known water film thickness formula is big
It does not account for vertical and horizontal gradient influence more, computational accuracy is caused to decline.Therefore using water film thickness as medium, establish rainfall intensity and
The direct relation of resultant gradient and anti-slip index and road safety stopping sight distance, for determining rainy day safe-stopping sight distance and resisting
Sliding Indexs measure correction value has important value, most important to the safety traffic of guarantee rainy day.
Summary of the invention
Technical problem: the object of the present invention is to provide a kind of rainy day bituminous pavement safe-stopping sight distance calculation method, the meters
Calculation method considers rainfall intensity and road surface resultant gradient factor, it is therefore an objective to propose the newly-built road anti-slip index influenced based on rainfall
The correction value of detection determines rainy day bituminous pavement stopping sight distance to effective and safe, it is ensured that row for area's rainfall intensity in all parts of the country
Sail safety.
Technical solution: the present invention provides a kind of rainy day bituminous pavement safe-stopping sight distance calculation method, the calculation methods
Consider rainfall intensity and road surface resultant gradient, comprising the following steps:
Step 1: establishing the functional relation of Depth of water film on asphalt pavement surface Yu rainfall intensity and road surface resultant gradient；
Step 2: returning out anti-slip index according to the coefficient of friction measured value in the case of bituminous pavement difference water film thickness
Pendulum value, that is, BPN value with Depth of water film on asphalt pavement surface variation functional relation, and combine step 1 functional relation, derive
The functional relation of BPN value and rainfall intensity and road surface resultant gradient；
Step 3: by the functional relation of profile frictional coefficient this Index Establishment BPN and stopping sight distance: basis first
The effective BPN value of bituminous pavement and profile frictional coefficient measured value corresponding with effective BPN value, return out BPN value and longitudinal direction is rubbed
The functional relation of coefficient is wiped, highway stopping sight distance formula is secondly combined to obtain the functional relation of BPN value and stopping sight distance；
Step 4: functional relation, the step 3 of BPN value and rainfall intensity and road surface resultant gradient in conjunction with obtained by step 2
The functional relation of obtained BPN value and stopping sight distance, derive rainy day bituminous pavement safe-stopping sight distance and rainfall intensity and
The direct relation formula of road surface resultant gradient.
Wherein:
The functional relation of Depth of water film on asphalt pavement surface described in step 1 and rainfall intensity and resultant gradient is as follows:
Wherein: h-water film thickness, m；
υ-water dynamic viscosity, m2/s；
ψ-bituminous pavement runoff coefficient；
I-rainfall intensity, mm/min；
F-road surface catchment area, km2；
G-acceleration of gravity, m/s2；
i0- road surface resultant gradient.
The theoretical formula of water film thickness is derived according to hydrology theory and hydraulic formula.
According in the coefficient of friction measured value in the case of asphalt surface difference water film thickness described in step 2, water film thickness
It is measured using remote sensing type pavement condition sensor, the BPN value under different water film thickness coverage conditions is measured using pendulum type friction instrument.
The functional relation of BPN value and rainfall intensity and road surface resultant gradient described in step 2, by rainfall intensity data
It brings the calculation formula into, obtains the bituminous pavement BPN testing requirements value influenced based on rainfall intensity and road surface resultant gradient.
Effective BPN value described in step 3 is measured using pendulum type friction instrument, longitudinal friction system corresponding with effective BPN value
Number is measured using SAFGA friction testing vehicle.
Highway stopping sight distance formula described in step 3 is as follows:
In formula: STFor highway stopping sight distance, m；
S1For the distance that driver's reaction time travels, m；
SZFor braking distance, m；
S0For safe distance, 5~10m is taken；
VXFor travel speed, km/h；
f1For longitudinal coefficient of friction resistance.
The direct pass of rainy day bituminous pavement safe-stopping sight distance and rainfall intensity and road surface resultant gradient described in step 4
It is to bring each department rainy day rainfall intensity data into formula, under the conditions of obtaining corresponding area rainfall intensity and road surface resultant gradient
The discriminant amendment of road safety stopping sight distance.
The each department rainy day rainfall intensity data are to extract respectively according to the 5 years one chance rainfall intensity isograms in China
The average rainfall intensity data in area.
The utility model has the advantages that compared with prior art, the present invention having the advantage that
(1) present invention establishes the direct relation formula of rainfall intensity Yu Bitumen Pavement Anti-Skid Performance evaluation index BPN, solves
Rainy day Depth of water film on asphalt pavement surface is difficult to the problem of measuring, and considers rainfall and the influence of road surface resultant gradient and to new pavement
BPN detected value is corrected, simple and easy, obtains reasonable rainy day pavement skid resistance condition evaluation index, to instruct road work
Journey detection provides reference；
(2) the direct relation formula of rainfall intensity Yu road safety stopping sight distance is established, can simply, efficiently and accurately be calculated
Road parking sighting distance recommended value under area in all parts of the country difference rainfall intensity out, to guarantee that vehicle drives safely in the rainy day.
Detailed description of the invention
Fig. 1 is the logistic regression curves schematic diagram that the road surface SMA-13 BPN value and water film thickness are created in embodiment 1.
Specific embodiment
Implementation method of the invention is described further below by way of specific specific example, but the contents of the present invention are not
It is limited only to the following examples.
Embodiment 1
By taking China southeast creates the road surface SMA-13 as an example, specific steps are as follows:
Step 1: having derived water film thickness theoretical formula according to hydrology theory and hydraulic formula, bituminous pavement is established
The functional relation of upper water film thickness and rainfall intensity and resultant gradient, as shown in functional relation 1-1:
Wherein: h-water film thickness, m；
υ-water dynamic viscosity, m2/s；
ψ-bituminous pavement runoff coefficient；
I-rainfall intensity, mm/min；
F-road surface catchment area, km2；
G-acceleration of gravity, m/s2；
i0- road surface resultant gradient.
Step 2: measuring to newly-built SMA-13 Surface of Trial Pavement, on road surface, test zone adds Fluid Dynamics rainfall, is formed not
Same water film thickness utilizes pendulum type friction instrument to survey using the water film thickness of remote sensing type pavement condition sensor measurement asphalt surface
The BPN value under different-thickness moisture film coverage condition is measured, measured data is as shown in table 1 below；
1 southeast of table creates the BPN value under the difference water film thickness of the road surface SMA-13
| Water film thickness/mm | 0(0.001) | 0.2 | 0.4 | 0.6 | 0.8 | 1 | 1.2 | 1.5 | 2 | 3 | 4 | 5 |
| BPN value | 74.6 | 58.2 | 53 | 51.4 | 49.8 | 49.8 | 47.8 | 49 | 49 | 49 | 50.2 | 50.8 |
For carry out logarithmic relationship derivation, it is assumed that water film thickness minimum value be 0.001mm, while water film thickness is excessive cannot be true
The virtual condition on real reflection road surface, and when water film thickness is greater than 2mm, measurement BPN value have a rebound phenomenon, at this time in addition to pendulum-type
Instrument is accommodated outside rubber friction block, and water also touches the edge of pendulum, subsequent to return the data being used only no more than 2mm.
The regression curve of BPN value and water film thickness obtains newly-built SMA-13 as shown in Figure 1, return to data in figure
The regression function relational expression 2-1 that road surface BPN changes with water film thickness:
(the R of BPN=-3.594ln (h)+50.0732=0.9791) 2-1
In conjunction with the functional relation 1-1 that step 1 is derived, the road surface SMA-13 BPN value can must be created with rainfall intensity and road
The functional relation 2-2 of face resultant gradient:
Step 3: road parking sighting distance can be acquired by functional relation 3-1 according to AASHTO stopping sight distance model:
In formula: STFor road parking sighting distance, m；
S1For the distance that driver's reaction time travels, m；
SZFor braking distance, m；
S0For safe distance, 5~10m is taken, takes S herein0=10m；
VXFor travel speed, km/h；
f1Longitudinal coefficient of friction resistance between road surface and tire.
Portable pendulum tester and SAFGA friction testing vehicle are respectively adopted on test segment, determines 66 groups of effective BPN values and longitudinal direction
Friction co-efficient value establishes the functional relation 3-2 of the two by regression analysis:
BPN=95.93f1+5.245(R2=0.9527) 3-2
Simultaneous functional relation 3-1 and 3-2, obtain the functional relation 3-3 of BPN and stopping sight distance:
Step 4: the functional relation 3-3 that the functional relation 2-2 and step 3 that obtain in conjunction with step 2 are obtained, obtains
The direct relation formula 4-1 of rainy day bituminous pavement safe-stopping sight distance and rainfall intensity and road surface resultant gradient:
In view of rainfall intensity is the most significant on the influence of BPN value, other parameters are much larger than, therefore before determining road surface parameter
It puts, studying rainfall intensity emphatically influences the new road surface stopping sight distance of SMA-13, chooses F=3.75m2=3.75 × 10-6km2,
The horizontal slope gradient is 2%, and the longitudinal slope gradient is 2%, can obtain the new road surface safe-stopping sight distance of SMA-13 and rainfall intensity and road after abbreviation
The direct relation formula 4-2 of face resultant gradient:
Parking under the every lane friction speed limitation of " specification of the highway route design " (JTG D20-2006) Zhong Dui highway
Sighting distance value provides, by the average rainfall intensity of southeast, southeast can be obtained by formula 4-2 and creates the road surface SMA-13
Stopping sight distance correction value, as shown in table 2；
2 southeast of table creates the road surface SMA-13 stopping sight distance amending advice table
| Desin speed (km/h) | 60 | 80 | 100 | 120 |
| Highway Code value | 75 | 110 | 160 | 210 |
| Discriminant amendment value | 82 | 120 | 164 | 215 |
By 2 data comparison of table it is found that the stopping sight distance value of " specification of the highway route design " defined can not be complete in the rainy day
Meet SMA-13 road surface running vehicle safety requirements, which has more reference value, can sufficiently ensure rainy day road surface
Travel safety.
Step 5: according to 5 years one chance rainfall intensities in China etc. in " highway drainage design specification " (JTGT D33-2012)
It is worth line chart, southeast can be obtained and be averaged rainfall intensity value as 2.0mm/min, it is assumed that the horizontal slope gradient is 2%, and longitudinal slope gradient value is
0~3%, it brings functional relation 2-2 obtained by step 2 into, show that southeast creates the road surface SMA-13 BPN value testing requirements, such as
Shown in table 3:
3 southeast of table creates the road surface SMA-13 BPN value testing requirements
| Longitudinal slope (%) | 0 | 1 | 2 | 3 |
| BPN value testing requirements | 50.3 | 50.2 | 49.9 | 49.7 |
It is noted that, for those skilled in the art, without departing from the principle of the present invention,
Several improvements and modifications can also be made, these modifications and embellishments should also be considered as the scope of protection of the present invention.
Claims (8)
1. a kind of rainy day bituminous pavement safe-stopping sight distance calculation method, it is characterised in that: the calculation method considers rainfall intensity
With road surface resultant gradient, comprising the following steps:
Step 1: establishing the functional relation of Depth of water film on asphalt pavement surface Yu rainfall intensity and road surface resultant gradient；
Step 2: returning out anti-slip index pendulum value according to the coefficient of friction measured value in the case of bituminous pavement difference water film thickness
I.e. BPN value with Depth of water film on asphalt pavement surface variation functional relation, and combine step 1 functional relation, derive BPN value
With the functional relation of rainfall intensity and road surface resultant gradient；
Step 3: by the functional relation of profile frictional coefficient this Index Establishment BPN and stopping sight distance: first according to pitch
The effective BPN value in road surface and profile frictional coefficient measured value corresponding with effective BPN value return out BPN value and longitudinal friction system
Secondly several functional relations combines highway stopping sight distance formula to obtain the functional relation of BPN value and stopping sight distance；
Step 4: the BPN value in conjunction with obtained by step 2 is obtained with the functional relation of rainfall intensity and road surface resultant gradient, step 3
BPN value and stopping sight distance functional relation, derive rainy day bituminous pavement safe-stopping sight distance and rainfall intensity and road surface
The direct relation formula of resultant gradient.
2. a kind of rainy day bituminous pavement safe-stopping sight distance calculation method as described in claim 1, it is characterised in that: step 1
The Depth of water film on asphalt pavement surface and the functional relation of rainfall intensity and road surface resultant gradient are as follows:
Wherein: h-water film thickness, m；
υ-water dynamic viscosity, m2/s；
ψ-bituminous pavement runoff coefficient；
I-rainfall intensity, mm/min；
F-road surface catchment area, km2；
G-acceleration of gravity, m/s2；
i0- road surface resultant gradient.
3. a kind of rainy day bituminous pavement safe-stopping sight distance calculation method as described in claim 1, it is characterised in that: step 2
It is described according in the coefficient of friction measured value in the case of asphalt surface difference water film thickness, water film thickness utilizes remote sensing type road surface
Situation sensors measure, and the BPN value under different water film thickness coverage conditions utilizes pendulum type friction instrument to measure.
4. a kind of rainy day bituminous pavement safe-stopping sight distance calculation method as described in claim 1, it is characterised in that: step 2
The functional relation of the BPN value and rainfall intensity and road surface resultant gradient, brings rainfall intensity data into the calculation formula,
Obtain the bituminous pavement BPN testing requirements value influenced based on rainfall intensity and road surface resultant gradient.
5. a kind of rainy day bituminous pavement safe-stopping sight distance calculation method as described in claim 1, it is characterised in that: step 3
Effective BPN value is measured using pendulum type friction instrument, and profile frictional coefficient corresponding with effective BPN value is rubbed using SAFGA
Wipe test carriage measurement.
6. a kind of rainy day bituminous pavement safe-stopping sight distance calculation method as described in claim 1, it is characterised in that: step 3
The highway stopping sight distance formula is as follows:
In formula: STFor highway stopping sight distance, m；
S1For the distance that driver's reaction time travels, m；
SZFor braking distance, m；
S0For safe distance, 5~10m is taken；
VXFor travel speed, km/h；
f1For longitudinal coefficient of friction resistance.
7. a kind of rainy day bituminous pavement safe-stopping sight distance calculation method as described in claim 1, it is characterised in that: step 4
In the direct relation formula of the rainy day bituminous pavement safe-stopping sight distance and rainfall intensity and road surface resultant gradient, by each department
Rainy day rainfall intensity data are brought into, and road safety stopping sight distance under the conditions of corresponding area rainfall intensity and road surface resultant gradient is obtained
Discriminant amendment.
8. a kind of rainy day bituminous pavement safe-stopping sight distance calculation method as claimed in claim 7, it is characterised in that: described
Each department rainy day rainfall intensity data are that the rainfall that is averaged according to 5 years one the chances rainfall intensity isograms in China extraction each department is strong
Degree evidence.
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| CN113335179A (en) * | 2021-07-05 | 2021-09-03 | 河南理工大学 | Automatic control device and method for night high beam |
| CN117371310A (en) * | 2023-09-25 | 2024-01-09 | 广东省高速公路发展股份有限公司佛开分公司 | Method for establishing wide highway pavement water film thickness prediction model |
| CN117953445A (en) * | 2024-03-26 | 2024-04-30 | 南京大学 | Road visibility measuring method, system and medium based on traffic monitoring camera in rainy days |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN117953445B (en) * | 2024-03-26 | 2024-05-28 | 南京大学 | Road visibility measuring method, system and medium based on traffic monitoring camera in rainy days |
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