CN106384349B - The detection method that the distribution of contact and stress on tire and road surface are concentrated - Google Patents
The detection method that the distribution of contact and stress on tire and road surface are concentrated Download PDFInfo
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- CN106384349B CN106384349B CN201610838683.7A CN201610838683A CN106384349B CN 106384349 B CN106384349 B CN 106384349B CN 201610838683 A CN201610838683 A CN 201610838683A CN 106384349 B CN106384349 B CN 106384349B
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T7/00—Image analysis
- G06T7/0002—Inspection of images, e.g. flaw detection
- G06T7/0004—Industrial image inspection
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01L—MEASURING FORCE, STRESS, TORQUE, WORK, MECHANICAL POWER, MECHANICAL EFFICIENCY, OR FLUID PRESSURE
- G01L5/00—Apparatus for, or methods of, measuring force, work, mechanical power, or torque, specially adapted for specific purposes
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T7/00—Image analysis
- G06T7/0002—Inspection of images, e.g. flaw detection
- G06T7/0004—Industrial image inspection
- G06T7/0006—Industrial image inspection using a design-rule based approach
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Abstract
The present invention provides the detection methods that the distribution of contact and stress on a kind of tire and road surface are concentrated, comprising: the density for obtaining pressure-sensitive films shows image；Show that image obtains contact stress data according to the density；Calculate effective contact area of tire and road surface；The contact stress of tire and road surface is divided into multiple stress sections；Calculate the distribution of contact area in each stress section；The distribution of contact area for calculating each stress section accounts for the ratio of effective contact area, obtains the distribution of contact cumulative probability in the stress section；Location parameter, form parameter and scale parameter in Weibull distribution function are calculated according to the contact stress data and the distribution of contact cumulative probability, obtains stress distribution model；The specific tantile of the distribution of contact cumulative probability is obtained as stress characteristics value；The ratio for calculating the stress characteristics value and equivalent stress circle uniform load, obtains fatiguestrength reduction factor.
Description
Technical field
The present invention relates to technical field of road engineering, a kind of distribution of contact more particularly to tire and road surface and answer
The detection method that power is concentrated.
Background technique
Tyre contact pressure is always Tire production industry and traffic department focus of interest.Initial stage, traffic loading
Relatively light, tire size and reasons, the tire-contact areas such as material is relatively soft are in approximate circle, pavement structure mechanics in addition
When analysis, model, is usually reduced to uniformly distributed equivalent circle load for tire ground connection load, and adopted extensively to simplify the calculation
With.With the progress of entire society, either Tire production industry or Pavement Structure Design person all notices Heavy Traffic
Under, large scale tire, high wheel load (more than 0.7MPa), the improvement of the improvement even tire material of tyre tread result in wheel
Tire contact area area, pressure are all clearly distinguishable from the understanding of early stage.
Tire and road surface contact interface are assumed to be smooth flat by recent many researchs, carried out tire-contact area,
The virtual experimental research of the contents such as pressure distribution, it is believed that contact surface is not in round shape, and the non-uniform situation of ground contact pressure distribution is far super
The imagination.Domestic correlative study shows that the tire of certain bogie is under identical tire pressure, fluctuating load, and the compensation of contact area is horizontal
To decorative pattern 85% or so, annular ribs is 80% or so, etc..However, macroscopic view and the micro-bulge construction on true road surface to tire/
The stress distribution of road contact interface has a direct impact, especially stress concentration phenomenon, and road surface is reduced to smooth flat obviously not
Conform to the actual situation situation.In addition, being restricted by technological means, the contact pressure regularity of distribution and its unevenness of tire and the effect of practical road surface
Even degree can not be obtained effectively, it is even more impossible to rationally, accurately quantitatively evaluating.The description of current distribution of contact still stops
It stays in macroscopical trend description of contact interface stress typical value and the geometrical analysis of ground connection profile, and stress concentration effect is main
Using the subjective determination method of Stress Map.Therefore, how the distribution of contact of a kind of tire and road surface is provided and is answered
The detection method that power is concentrated is ability with the distribution of contact rule and stress concentration effect that accurately reflect tire and road surface
The problem of field technique personnel's urgent need to resolve.
Summary of the invention
The object of the present invention is to provide the distribution of contact and stress on a kind of tire and road surface concentrate detection method, with
The distribution of contact rule and stress concentration effect on objective, reasonable and accurate tire and road surface are obtained, and is Tire production
Industry and road engineering provide important design considerations.
To achieve the above object, the present invention provides the inspections that the distribution of contact and stress on a kind of tire and road surface are concentrated
Survey method, comprising:
The density of the pressure-sensitive films between tire and road surface after obtaining experiment shows image；
Show that image obtains contact stress data according to the density；
Effective contact area of tire and road surface is calculated according to the contact stress data；
According to the range of the pressure-sensitive films, the contact stress of tire and road surface is divided into multiple stress sections；
According to the stress section and the contact stress data, the distribution of contact in each stress section is calculated
Area；
The distribution of contact area for calculating each stress section accounts for the ratio of effective contact area, obtains institute
State the distribution of contact cumulative probability in stress section；
The position in Weibull distribution function is calculated according to the contact stress data and the distribution of contact cumulative probability
Parameter, form parameter and scale parameter are set, stress distribution model is obtained；
The specific tantile of the distribution of contact cumulative probability is obtained as stress characteristics value；
The ratio for calculating the stress characteristics value and equivalent stress circle uniform load, obtains fatiguestrength reduction factor.
Optionally, described to show that image obtains contact stress data according to the density, it specifically includes:
The density for scanning the pressure-sensitive films shows image；
Construct pressure-sensitive films space coordinates；
The corresponding amplitude f (x, y) of each coordinate points (x, y) in the pressure-sensitive films space coordinates is obtained, is obtained
The contact stress value of the coordinate points (x, y)；
Multiple contact stress values are obtained in 0~N of abscissa 0~M of x value range and ordinate y value range, determination connects
Touching stress data is contact stress matrix:
Optionally, effective contact area that tire and road surface are calculated according to the contact stress data, specifically includes:
Obtain the coordinate points of amplitude f (x, the y) non-zero；
According to the coordinate points of the non-zero, multiple corresponding non-zero regions are determined；
The area for calculating multiple non-zero regions obtains effective contact area on tire and road surface.
Optionally, multiple stress sections are respectively 0MPa~0.1MPa, 0.1MPa~0.2MPa ... ..., and (k-1)/
10MPa~k/10MPa, wherein k is the number in stress section.
Optionally, described to calculate Weibull distribution according to the contact stress data and the distribution of contact cumulative probability
Location parameter, form parameter and scale parameter in function obtain stress distribution model, specifically include:
Determine Weibull distribution function are as follows:
Wherein, a is location parameter；C is form parameter；1/b is scale parameter, belongs to diversity index；
The Wei is calculated using numerical solution according to the contact stress data and the distribution of contact cumulative probability
Location parameter a, form parameter c and scale parameter 1/b in primary distribution function.
Optionally, described to use numerical solution according to the contact stress data and the distribution of contact cumulative probability
Location parameter a, form parameter c and the scale parameter 1/b in the Weibull distribution function are calculated, is specifically included:
Obtain contact stress numerical value x；
The contact stress value x is arranged by ascending sequence, obtains contact stress value sequence { xi, wherein i=1,
2 ..., n, and x1< x2< ... < xn, xiIndicate the contact stress value of each coordinate points, n is within the scope of effective contact area
Contact stress value quantity；
According to the contact stress value sequence { xi, according to formulaI=1,2 ..., n and formulaI=1,2 ..., n are calculated, and obtain sequence { ξi}；Wherein, Gn(xi) it is distribution of contact cumulative probability,
The distribution of contact cumulative probability is not less than given contact stress value xiContact stress value probability of occurrence；
According to sequence { ξiAnd the setting position parameter value a given by particular step sizemBy formula ηi=ln (xi- a), i=1,
2 ..., the n sequence of calculation { ηi}m, and by setting position parameter value am, sequence { ηi}mWith sequence { ξiSubstitute into formulaCalculate residual sum of squares (RSS) Qm；
Calculate the two neighboring setting position parameter value amCorresponding residual sum of squares (RSS) QmAbsolute value of the difference；
Judge whether the absolute value is less than given precision ε；
If so, determining the given setting position parameter value amFor location parameter a；
According to the location parameter a, form parameter c and scale parameter 1/b is calculated using least square method.
Optionally, the tantile that the specific tantile is 95%.
Optionally, the equivalent stress circle uniform load is the circle of equivalent stress as defined in " bituminous pavement design for highway specification "
Evenly load 0.7MPa.
Optionally, the density of the pressure-sensitive films between the tire and road surface shows that image includes same single isolated wheel loading
Tire and it is multiple experiment road surface between pressure-sensitive films density show image；The experimental road face includes without construction light
Ways face, thin type asphalt concrete pavement and thick type asphalt concrete pavement.
The specific embodiment provided according to the present invention, the invention discloses following technical effects:
The detection method that the distribution of contact and stress on tire provided by the invention and road surface are concentrated utilizes presser sensor
The density of film shows that image obtains the contact stress data of tire and road surface, and according to the contact stress data acquisition stress point
Cloth model and fatiguestrength reduction factor, to reflect that the distribution of contact on tire and road surface is advised by stress distribution model
Rule reflects the contact stress concentration effect of tire and road surface by fatiguestrength reduction factor.Due to being in detection method of the invention
Reflect the regularity of distribution and concentration effect of contact stress respectively by mathematical model and numerical value, it can be more intuitive, more objectively anti-
Reflect the distribution of contact rule and concentration effect on tire and road surface；Also, the present invention is directly from being set to tire and road surface
Between pressure-sensitive films on obtain contact stress data, then when detecting the contact stress on different road surfaces and tire, point
The pressure-sensitive films between different road surfaces and tire are not obtained, and detection method is simple, strong operability, and pressure is quick
Sense film will not damage the construction of road surface or tire, also can accurately just reflect the contact stress on tire and road surface, therefore, also mention
The high accuracy of this detection method.
Detailed description of the invention
It in order to more clearly explain the embodiment of the invention or the technical proposal in the existing technology, below will be to institute in embodiment
Attached drawing to be used is needed to be briefly described, it should be apparent that, the accompanying drawings in the following description is only some implementations of the invention
Example, for those of ordinary skill in the art, without any creative labor, can also be according to these attached drawings
Obtain other attached drawings.
Fig. 1 is the process of the detection method of distribution of contact and the stress concentration on tire provided by the invention and road surface
Figure；
Fig. 2 is that tire and the density without the pressure-sensitive films between construction road surface show image；
Fig. 3 is the image after Fig. 2 numeralization；
The density of pressure-sensitive films of the Fig. 4 between tire and thin type asphalt concrete pavement shows image；
Fig. 5 is the image after Fig. 4 numeralization；
Fig. 6 is the fitted figure of tire with distribution of contact cumulative probability and stress distribution model without construction road surface；
Fig. 7 is the tire and distribution of contact cumulative probability and stress distribution model meter without construction road surface that experiment measures
The curve graph of the distribution of contact cumulative probability of calculation.
Specific embodiment
Following will be combined with the drawings in the embodiments of the present invention, and technical solution in the embodiment of the present invention carries out clear, complete
Site preparation description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.It is based on
Embodiment in the present invention, it is obtained by those of ordinary skill in the art without making creative efforts every other
Embodiment shall fall within the protection scope of the present invention.
The object of the present invention is to provide the distribution of contact and stress on a kind of tire and road surface concentrate detection method, with
The distribution of contact rule and stress concentration effect on objective, reasonable and accurate tire and road surface are obtained, and is Tire production
Industry and road engineering provide important design considerations.
In order to make the foregoing objectives, features and advantages of the present invention clearer and more comprehensible, with reference to the accompanying drawing and specific real
Applying mode, the present invention is described in further detail.
Fig. 1 is the process of the detection method of distribution of contact and the stress concentration on tire provided by the invention and road surface
Figure.As shown in Figure 1,
The detection method that the distribution of contact and stress on tire and road surface are concentrated, comprising:
Step 101: the density of the pressure-sensitive films between tire and road surface after obtaining experiment shows image；
Step 102: showing that image obtains contact stress data according to the density；
Step 103: effective contact area of tire and road surface is calculated according to the contact stress data；
Step 104: according to the range of the pressure-sensitive films, the contact stress of tire and road surface being divided into multiple answer
Power section；Specifically, multiple stress sections are respectively 0MPa~0.1MPa, 0.1MPa~0.2MPa ... ..., (k-1)/
10MPa~k/10MPa, wherein k is the number in stress section；
Step 105: according to the stress section and the contact stress data, calculating the contact in each stress section
Stress distribution area；
Step 106: the distribution of contact area for calculating each stress section accounts for the ratio of effective contact area
Example, obtains the distribution of contact cumulative probability in the stress section；
Step 107: calculating Weibull distribution letter according to the contact stress data and the distribution of contact cumulative probability
Location parameter, form parameter and scale parameter in number obtain stress distribution model；
Step 108: obtaining the specific tantile of the distribution of contact cumulative probability as stress characteristics value；Wherein,
Specific tantile can be 95% tantile；
Step 109: calculate the stress characteristics value and equivalent stress circle uniform load ratio, obtain stress concentrate because
Son；Wherein, equivalent stress circle uniform load can be the uniformly distributed lotus of the circle of equivalent stress as defined in " bituminous pavement design for highway specification "
Carry 0.7MPa；Or tire and without construction road surface between average basal pressure value.
The present embodiment reflects the distribution of contact rule on tire and road surface by stress distribution model, passes through stress collection
The contact stress concentration effect of the middle factor reflection tire and road surface, i.e., reflect contact stress by mathematical model and numerical value respectively
The regularity of distribution and concentration effect, this method more intuitive, more can objectively reflect the distribution of contact rule on tire and road surface
And concentration effect；Also, the present invention is to obtain to contact directly from the pressure-sensitive films being set between tire and road surface to answer
Force data, then obtaining the pressure between different road surfaces and tire respectively when detecting the contact stress on different road surfaces and tire
Sensitive thin film, detection method is simple, strong operability, and pressure-sensitive films will not damage the structure of road surface or tire
It makes, also can accurately just reflect the contact stress on tire and road surface, therefore, also improve the accuracy of this detection method.
Specifically, the density of the pressure-sensitive films between tire and road surface after obtaining experiment is shown for step 101
The method of image, specifically includes the following steps:
Choose experiment road surface；
The pressure-sensitive films of at least three range are placed between tire and experiment road surface；
After applying static single isolated wheel loading at least 2min, release；
It takes out pressure-sensitive films and is placed in drying without 3~5h in UV environment, obtain sensitivity density and show image,
As shown in Figures 2 and 4.
Wherein, experiment road surface can be for without construction road surface, such as steel plate；Or thin type asphalt concrete pavement；Or thick type pitch
Concrete road surface.The density that different pressure-sensitive films can be obtained by choosing different experiment road surfaces shows image, from
And the contact stress data of tire and different road surfaces are obtained in the case where identical application pressure and single isolated wheel loading.And then realization pair
The road surface of different configuration and the regularity of distribution and concentration effect of tire interface stress are evaluated.In the present embodiment, presser sensor
Film is that pressure-sensitive films are placed between tire and road surface by biplate membrane structure in this way with a thickness of 0.09mm × 2,
The contact performance on tire and road surface will not be changed.The biplate membrane structure is mainly made of two polyester film bases, one be coated with it is micro-
Tibetan household slave's color substance, and another is coated with substance that show color, the contact pressure level on tire and road surface can pass through the close of color change
Degree shows that measurement result precision is high, up to 0.016mm2, influenced by environment and measurement factor smaller.In order to protect
Demonstrate,prove accurate, the static load pressing times at least 2min of pressure-sensitive films of contact stress.
For step 102, the method that image obtains contact stress data is shown according to density, specifically includes the following steps:
The density for scanning the pressure-sensitive films shows image；
Construct pressure-sensitive films space coordinates；
The corresponding amplitude f (x, y) of each coordinate points (x, y) in the pressure-sensitive films space coordinates is obtained, is obtained
The contact stress value of the coordinate points (x, y)；
Multiple contact stress values are obtained in 0~N of abscissa 0~M of x value range and ordinate y value range, determination connects
Touching stress data is contact stress matrix:
Wherein, it needs to be corrected scanning device before scanning density shows image, to ensure result after scanning
Accuracy.By above-mentioned steps, density is shown that the figure difference after picture number value is as shown in Figures 3 and 5, in figure, presser sensor
The color of the display of every bit in film space coordinate system for numerical value be coordinate system on the right side of stress color compare vitta
The corresponding pressure value of middle same color, as contact stress value can be obtained by the pressure-sensitive films space coordinates
Contact stress value, and then obtain contact stress data.And the preparation method can intuitively show the variation of contact stress
And distribution situation, it can accurately obtain contact stress value.
For step 103, the method that effective contact area on tire and road surface is calculated according to the contact stress data, tool
Body includes the following steps:
Obtain the coordinate points of amplitude f (x, the y) non-zero；
According to the coordinate points of the non-zero, multiple corresponding non-zero regions are determined；
The area for calculating multiple non-zero regions obtains effective contact area on tire and road surface.
Wherein, the precision of the pressure-sensitive films of region area shared by each coordinate points, i.e. 0.016mm2.Therefore, at this
In embodiment, the number for obtaining the coordinate points of amplitude f (x, y) non-zero can be obtained effective contact area.Other embodiments
It can use the region for obtaining coordinate points delineation, can be obtained effective contact area in the area for calculating the delineation region.It compares
The method in this delineation region, the area of point is determined according to the precision of pressure-sensitive films in present embodiment, and then acquire
Effective contact area it is more acurrate.
For step 107, calculated in Weibull distribution function according to contact stress data and distribution of contact cumulative probability
Location parameter, form parameter and scale parameter, the method for obtaining stress distribution model specifically comprises the following steps:
Determine Weibull distribution function are as follows:
Wherein, a is location parameter；C is form parameter；1/b is scale parameter, belongs to diversity index；
Logarithmic transformation is done to the both members of formula (2), is obtained
Wherein, G (x) is the distribution of contact cumulative probability of stochastic variable contact stress value x, i.e.,
G (x)=1-F (x) (3)；
In order to facilitate calculating, it is assumed that parameter ξ, η and B are enabled
Formula (2) is write a Chinese character in simplified form according to formula (2), (3) and (4) are as follows: ξ=c η+B (5)；
The stochastic variable contact stress value x is arranged by ascending sequence, obtains contact stress value sequence { xi, wherein
I=1,2 ..., n, and x1< x2< ... < xn, xiIndicate the contact stress value of each coordinate points, n is effective contact area range
Interior contact stress value quantity；
It calculates not less than given contact stress value xiContact stress value probability of occurrence, it is general to obtain distribution of contact accumulation
Rate:
According to formula (6), formula (4) are converted are as follows:
ηi=ln (xi- a), i=1,2 ..., n (8)；
Then have
Wherein,
It is solved using least square method:
The residual sum of squares (RSS) is enabled to be
According to contact stress value sequence { xi, it is calculated according to formula (6) and formula (7), obtains sequence { ξi}；
According to sequence { ξi, the setting position parameter value a given by particular step sizemBy formula (8) sequence of calculation { ηi}m, and
By setting position parameter value am, sequence { ηi}mWith sequence { ξiSubstitute into formula (14) calculating residual sum of squares (RSS) Qm；
Calculate two neighboring setting position parameter value amCorresponding residual sum of squares (RSS) QmAbsolute value of the difference；
Judge whether the absolute value is less than given precision ε；
If so, determining that the given setting position parameter value am is location parameter a；
By determining location parameter a and contact stress value sequence { xiSubstitute into formula (8) sequence { ηi, then by { ηiAnd obtain
Sequence { the ξ obtainediSubstitute into formula (11) and (12) and respectively obtain form parameter c and B, b is obtained by formula (13), and then obtains scale
Parameter 1/b.
As it can be seen that being that can determine three ginsengs of weber (Weibull) distribution function by contact stress value by above-mentioned steps
Number, i.e. location parameter a, form parameter c and scale parameter 1/b.In order to verify the applicability of Weibull distribution function, this implementation
Example is to be fitted from the entirety in contact stress region and part to Weibull distribution function, particularly respectively from contact circle
The single construction top strain of tire footprint pattern block internal stress distribution and bituminous pavement in face carries out Weibull distribution function
Fitting, the applicability of verifying Weibull distribution；As shown in Figures 6 and 7, Weibull distribution function is to tire and road surface contact stress point
The goodness of fit of cloth cumulative probability is preferable, i.e. strong applicability.The present invention carries out distribution of contact using Weibull distribution function
Mathematical description breaches the subjectivity understanding of this field, from mathematical model, stress distribution is spreaded to theoretical research
Scope is conducive to the application of further investigation with future values sunykatuib analysis.
Detection method of the invention is discussed in detail below by a specific embodiment:
(1) pressure-sensitive films of each range are cropped to fixed ruler by the pressure-sensitive films for using at least three range
Then very little 27cm × 27cm is placed between tire and each experiment road surface, the matte of double pressure sensitive thin film places matte.
It in this embodiment, is to without construction road surface, thin type asphalt concrete pavement, thick type asphalt concrete pavement
The tire interface stress distribution law and stress concentration effect of these three various forms of pavement structures are compared and are evaluated.
It makes the above bituminous concrete track plate respectively indoors first, plain plate is taken to be used as without construction road surface, i.e. light
Face steel plate, thin type bituminous concrete track plate, thick type bituminous concrete track plate.Pressure-sensitive films using 0.05~
0.2MPa, 0.2~0.6MPa and 0.5~2.5MPa, tri- kinds of ranges.Pressure sensitive film is cut to 27cm × 27cm size, matte
Experiment is adjacent to matte, is placed between tire and experiment road surface, every kind of experiment road surface carries out static loading experiment three times, each static load
Therapy lasted load time at least 2min.
(2) the meridian DUELERA/T 215/5R15 type tire of Nissan ZN1021U2G light-duty vehicle, loading condition are used
For standard tire pressure 0.4MPa, rated load 9.5kN.
(3) pressure-sensitive films after experiment are taken out, and are placed in dry without 3~5h in UV environment, acquisition sensitivity
Density shows image；And the numeralization for realizing pressure-sensitive films stress distribution is programmed with Matlab, contact stress data are obtained,
As shown in Figure 2-5, effective contact area of contact stress is calculated.
(4) distribution of contact cumulative probability is calculated with Matlab Analysis of programming, using iterative algorithm to stress distribution
Cumulative probability is fitted, and obtains stress distribution model, as shown in figs. 6-7.
In the present embodiment, tire and the contact stress on road surface are the serial number of multiple spot distribution, contact stress from 0~
0.1,0.1~0.2 ... ..., (k-1)/10~k/10MPa-1, it is divided into k stress section, wherein the amount of k and pressure-sensitive films
Cheng Youguan.
In the present embodiment, every kind of road surface is tested three times, the stress distribution model (weber of three kinds of road surface stress distributions
Distribution function) as shown in the table:
Table 1
As can be seen from Table 1, effective contact area of steel plate (no construction road surface) contact surface is maximum, thick type bituminous concrete
Effective contact area it is minimum, the goodness of fit R of Weibull distribution function2Reach 0.99 or more, it can be deduced that conclusion:
Weibull distributed model has good applicability to the distribution of contact on different configuration road surface.It can be objective, direct, quasi-
The distribution of contact rule of true reflection tire and road surface.
(5) testing 95% tantile of stress distribution cumulative probability by interpolation calculation is stress characteristics value, then is calculated
95% tantile of the stress distribution cumulative probability of stress distribution model is theoretical stress characteristic value；As shown in table 2.
Table 2
It tests stress characteristics value as can be seen from Table 2 and the goodness of fit of theoretical stress characteristic value is preferable, relative error is 5%
Within, further illustrate that the mathematical model is very strong to the applicability of tire interface stress.
(6) ratio for calculating stress characteristics value and equivalent stress circle uniform load, obtains fatiguestrength reduction factor.Such as 3 institute of table
Show.
Table 3
| Road surface types | Construction depth (mm) | Fatiguestrength reduction factor |
| Steel plate | 0 | 2.56 |
| Thin type | 0.82 | 3.75 |
| Thick type | 1.11 | 4.19 |
(8) according to fatiguestrength reduction factor, comparative evaluation respectively tests the stress concentration effect on road surface.
From table 3 it can be seen that fatiguestrength reduction factor becomes larger as pavement structural depth increases, the collection of tire interface stress
Middle effect is more significant.Stress concentration effect therefore can prove this far more than the cognition of traditionally road pavement tire interface stress
It invents the detection method that the distribution of contact and stress of the tire and road surface that provide are concentrated and more meets actual tire and road surface
Contact stress situation, then the distribution of contact rule and concentration effect that are obtained by the detection method, more acurrate, more objective
It sees, more meet reality.
Each embodiment in this specification is described in a progressive manner, the highlights of each of the examples are with other
The difference of embodiment, the same or similar parts in each embodiment may refer to each other.
Used herein a specific example illustrates the principle and implementation of the invention, and above embodiments are said
It is bright to be merely used to help understand method and its core concept of the invention；At the same time, for those skilled in the art, foundation
Thought of the invention, there will be changes in the specific implementation manner and application range.In conclusion the content of the present specification is not
It is interpreted as limitation of the present invention.
Claims (9)
1. the detection method that the distribution of contact and stress on a kind of tire and road surface are concentrated characterized by comprising
The density of the pressure-sensitive films between tire and road surface after obtaining experiment shows image；
Show that image obtains contact stress data according to the density；
Effective contact area of tire and road surface is calculated according to the contact stress data；
According to the range of the pressure-sensitive films, the contact stress of tire and road surface is divided into multiple stress sections；
According to the stress section and the contact stress data, the distribution of contact face in each stress section is calculated
Product；
The distribution of contact area for calculating each stress section accounts for the ratio of effective contact area, answers described in acquisition
Distribution of contact cumulative probability in power section；
The position ginseng in Weibull distribution function is calculated according to the contact stress data and the distribution of contact cumulative probability
Number, form parameter and scale parameter obtain stress distribution model；
The specific tantile of the distribution of contact cumulative probability is obtained as stress characteristics value；
The ratio for calculating the stress characteristics value and equivalent stress circle uniform load, obtains fatiguestrength reduction factor.
2. the detection method that the distribution of contact and stress on tire according to claim 1 and road surface are concentrated, feature
It is, it is described to show that image obtains contact stress data according to the density, it specifically includes:
The density for scanning the pressure-sensitive films shows image；
Construct pressure-sensitive films space coordinates；
The corresponding amplitude f (x, y) of each coordinate points (x, y) in the pressure-sensitive films space coordinates is obtained, is obtained described
The contact stress value of coordinate points (x, y)；
Multiple contact stress values are obtained in 0~N of abscissa 0~M of x value range and ordinate y value range, determine that contact is answered
Force data is contact stress matrix:
3. the detection method that the distribution of contact and stress on tire according to claim 2 and road surface are concentrated, feature
It is, effective contact area that tire and road surface are calculated according to the contact stress data specifically includes:
Obtain the coordinate points of amplitude f (x, the y) non-zero；
According to the coordinate points of the non-zero, multiple corresponding non-zero regions are determined；
The area for calculating multiple non-zero regions obtains effective contact area on tire and road surface.
4. the detection method that the distribution of contact and stress on tire according to claim 1 and road surface are concentrated, feature
It is, multiple stress sections are respectively 0MPa~0.1MPa, 0.1MPa~0.2MPa ... ..., (k-1)/10MPa~k/
10MPa, wherein k is the number in stress section.
5. the detection method that the distribution of contact and stress on tire according to claim 1 and road surface are concentrated, feature
It is, the position calculated according to the contact stress data and the distribution of contact cumulative probability in Weibull distribution function
Parameter, form parameter and scale parameter are set, stress distribution model is obtained, specifically includes:
Determine Weibull distribution function are as follows:Its
In, a is location parameter；C is form parameter；1/b is scale parameter, belongs to diversity index；
The weber point is calculated using numerical solution according to the contact stress data and the distribution of contact cumulative probability
Location parameter a, form parameter c and scale parameter 1/b in cloth function.
6. the detection method that the distribution of contact and stress on tire according to claim 5 and road surface are concentrated, feature
It is, it is described that the Wei is calculated using numerical solution according to the contact stress data and the distribution of contact cumulative probability
Location parameter a, form parameter c and scale parameter 1/b in primary distribution function, specifically include:
Obtain contact stress numerical value x；
The contact stress value x is arranged by ascending sequence, obtains contact stress value sequence { xi, wherein i=1,2 ...,
N, and x1< x2< ... < xn, xiIndicate the contact stress value of each coordinate points, n is that the contact within the scope of effective contact area is answered
Force value quantity；
According to the contact stress value sequence { xi, according to formulaI=1,2 ..., n and formulaI=1,2 ..., n are calculated, and obtain sequence { ξi}；Wherein, Gn(xi) it is distribution of contact cumulative probability,
The distribution of contact cumulative probability is not less than given contact stress value xiContact stress value probability of occurrence；
According to sequence { ξiAnd the setting position parameter value a given by particular step sizemBy formula ηi=ln (xi- a), i=1,2 ...,
The n sequence of calculation { ηi}m, and by setting position parameter value am, sequence { ηi}mWith sequence { ξiSubstitute into formulaCalculate residual sum of squares (RSS) Qm, wherein form parameter
Calculate the two neighboring setting position parameter value amCorresponding residual sum of squares (RSS) QmAbsolute value of the difference；
Judge whether the absolute value is less than given precision ε；
If so, determining the given setting position parameter value amFor location parameter a；
According to the location parameter a, form parameter c and scale parameter 1/b is calculated using least square method.
7. the detection method that the distribution of contact and stress on tire according to claim 1 and road surface are concentrated, feature
It is, the tantile that the specific tantile is 95%.
8. the detection method that the distribution of contact and stress on tire according to claim 1 and road surface are concentrated, feature
It is, the equivalent stress circle uniform load is the circle evenly load of equivalent stress as defined in " bituminous pavement design for highway specification "
0.7MPa。
9. the detection method that the distribution of contact and stress on tire according to claim 1 and road surface are concentrated, feature
It is, the density of the pressure-sensitive films between the tire and road surface shows that image includes the tire of same single isolated wheel loading and more
The density of pressure-sensitive films between a experiment road surface shows image；The experimental road face includes without construction smooth road, carefully
Type asphalt concrete pavement and thick type asphalt concrete pavement.
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| CN109639125B (en) * | 2018-11-26 | 2019-12-27 | 珠海格力电器股份有限公司 | Control method, device and system for monitoring intelligent power module |
| CN111340799B (en) * | 2020-03-18 | 2023-03-10 | 华南理工大学 | Method and system for determining contact stress between tire and rough road surface |
| CN112326087B (en) * | 2021-01-04 | 2021-04-23 | 湖南大学 | Vehicle contact time-course force measuring method and device based on video identification |
| CN116358760B (en) * | 2023-06-01 | 2023-08-25 | 深圳亿维锐创科技股份有限公司 | Method, device, equipment and storage medium for measuring load distribution of vehicle tyre |
| CN117470415B (en) * | 2023-12-28 | 2024-03-12 | 石家庄铁道大学 | Dynamic detection method, system and storage medium for tire-road contact stress distribution condition |
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| JP2006017671A (en) * | 2004-07-05 | 2006-01-19 | Sharp Corp | Shearing force detecting method, and skid detecting method |
| CN104764546A (en) * | 2015-04-27 | 2015-07-08 | 武汉科技大学 | Device for testing contact stress between tire and road surface based on magnetic manometer heat image |
| CN105279306A (en) * | 2014-07-09 | 2016-01-27 | 三星电子株式会社 | Methods of detecting stresses, methods of training compact models, methods of relaxing stresses, and computing systems |
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| JP2006017671A (en) * | 2004-07-05 | 2006-01-19 | Sharp Corp | Shearing force detecting method, and skid detecting method |
| CN105279306A (en) * | 2014-07-09 | 2016-01-27 | 三星电子株式会社 | Methods of detecting stresses, methods of training compact models, methods of relaxing stresses, and computing systems |
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