CN114969926B - Optimization method of long-service-life pavement structure - Google Patents
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Abstract
The invention belongs to the technical field of road engineering, and relates to a long-life pavement structure optimization method, which mainly comprises the following steps: firstly, designing a plurality of long-life pavement structures according to traffic parameters, environmental factors, soil base conditions and material characteristic factors; checking the primary pavement structure by kenpave software; step three, carrying out standardization processing, and converting the decision matrix X into a standardized decision matrix Y; step four, respectively weighting the ith index by adopting an entropy weight method and a variation coefficient method according to the standardized decision matrix Y; and fifthly, combining weights to determine weights, multiplying the weights obtained by combining weights by a standardized decision matrix Y to obtain final balance degree scores, and selecting a pavement structure according to the size of the final balance degree scores. With the method, the pavement structure with the best pavement performance can be optimized in the design of the long-service-life pavement structure, so that the service life of the long-service-life pavement is prolonged.
Description
Technical Field
The invention belongs to the technical field of road engineering, and relates to a long-life pavement structure optimization method.
Background
The road and road maintenance market is huge, the maintenance volume and maintenance cost are high, so the research of the low maintenance long-life road has important promotion effect on improving traffic construction and urban high-quality development.
The common structural forms of the long-life pavement mainly comprise a full-thickness asphalt pavement structure, a semi-rigid base pavement structure, a flexible base pavement structure and a combined asphalt pavement structure. In the design of long-life pavement structures, various pavement structures often exist, and the design indexes specified in the asphalt pavement design Specification (JTG D50-2017) can be met. After the pavement structure meets the specified design index, a decision maker generally determines the importance degree of each performance index according to own experience, and selects the optimal pavement structure from the importance degree. The adoption of the empirical judgment mode has larger randomness, and can cause slightly poor accuracy and reliability.
The road performance of long-life road surface can be influenced by the performance indexes such as the permanent deformation quantity, fatigue property, compressive strain at the top of roadbed and the like of the road surface structure, so how to scientifically select a long-life road surface structure with optimal road performance from different road surface structures is a complex comprehensive problem. In order to give consideration to the performance indexes such as the permanent deformation, fatigue property, roadbed top compressive strain and the like of the pavement structure, the patent discloses a long-service-life pavement structure optimization method.
Disclosure of Invention
The invention aims to provide a long-life pavement structure optimization method, which takes performance indexes such as asphalt mixture permanent deformation, asphalt mixture layer fatigue cracking, roadbed top compressive strain and the like of a pavement structure as evaluation indexes under the condition that the pavement structure meets design indexes set forth in specifications, adopts a balance thought, and selects an optimal pavement structure from the evaluation indexes.
The technical scheme of the invention is as follows:
the invention provides a long-life pavement structure optimization method, which comprises the following steps:
Firstly, designing a plurality of long-life pavement structures according to traffic parameters, environmental factors, soil base conditions and material characteristic factors;
checking the primary pavement structure by kenpave software;
Thirdly, according to the indoor test method specified by the existing specifications and regulations, N performance indexes of M pavement structure schemes are respectively obtained to form a decision matrix X, and standardized processing is carried out to convert the decision matrix X into a standardized decision matrix Y;
Pavement structure scheme set: w= { W 1,W2,…,Wn }; road performance index set: v= { V 1,V2,…,Vn }
Wherein: i represents an ith road performance index, j represents a jth road structure scheme, m represents the number of primary road structures, and n represents the number of road performance indexes used;
normalization process, converting decision matrix X into normalized decision matrix Y
yi"j=max{xij}-xij
Wherein: y i'j' is a reverse index, and y ij is a standardized road performance index;
step four, respectively weighting the ith performance index by adopting an entropy weighting method and a variation coefficient method according to the standardized decision matrix y;
firstly, weighting an ith index by adopting an entropy weighting method
If f ij =0, f ijlnfij =0
Wherein: f ij is the proportion of the ith road performance index in the jth road surface structural scheme, e i is the entropy value of the ith road performance index, and d i is the entropy weight of the ith road performance index;
secondly, weighting the ith index by adopting a variation coefficient method
Wherein: The mean value of the ith road performance index is represented, s i is the standard deviation of the ith road performance index, v i is the variation coefficient of the ith road performance index, and p i is the weight of the ith road performance index;
step five, combining weights to determine weights, and multiplying the weights obtained by combining weights with a standardized decision matrix Y to obtain a final balance degree score;
Hi=yij×wi
Wherein: w i is the weight of the combination weighting of the ith road performance index, and H i is the balance degree score of the ith road performance index;
The larger H i is, the better the road performance of the road surface structure is, and the road surface structure is selected according to the calculated balance degree.
Further, in the first step, the structure of the long-life pavement is as designed according to the local traffic volume, environmental factors and soil conditions: rigid base course pavement structure, flexible base course pavement structure, full thickness type asphalt pavement structure and combined type asphalt pavement structure.
Further, in the second step, kenpave software is adopted to check the pavement structure scheme, and whether the design index of the specification is met is judged. For long-life pavements, the design indexes verified are mainly as follows: the asphalt layer is subjected to layer-by-layer bottom tensile strain and roadbed top surface compressive strain. The tensile strain of the asphalt layer bottom is not more than 70 mu epsilon, and the modified asphalt is not more than 100 mu epsilon. The pressure strain of the top surface of the roadbed is not more than 220 mu epsilon. The design index is met, and the requirement of long-service-life pavement can be basically met.
Further, in the third step, the decision variable x 1j represents the test data of the permanent deformation of the pavement structure; x 2j represents test data of fatigue cracking of the pavement structure, and fatigue characteristics of the pavement structure are represented by adopting the fatigue cracking; x 3j represents the test data of the strain of the subgrade top surface pressure. When the original index value is preprocessed, the reverse index is subjected to forward normalization processing, and then standardized processing, and the forward index is subjected to normalization processing, so that the data can be converted into a [0,1] interval through preprocessing, and each performance index can be evaluated.
Compared with the prior art, the invention has the beneficial effects that:
The method has the advantages of taking various performance indexes into consideration, avoiding the importance of excessively amplifying a certain index, having lower data requirements and less workload, and being capable of objectively selecting the optimal pavement structure. With the method, the pavement structure with the best pavement performance can be optimized in the design of the long-service-life pavement structure, so that the service life of the long-service-life pavement is prolonged.
The method adopts the entropy weight method and the coefficient of variation method with similar principles to carry out combined weighting, adds the coefficient of variation method on the basis of the traditional entropy weight method, avoids the situation of larger evaluation result difference caused by single method calculation of weight value, more accurately reflects the weight of design indexes, and compared with the method which singly considers each performance index of long-life pavement, the method adopts the thought of multi-objective balance, comprehensively considers each performance index of pavement structure in a combined weighting mode, thereby selecting the optimal pavement structure and achieving the aim of improving the service life of the long-life pavement.
Drawings
FIG. 1 is a flow chart of a preferred method of constructing a long life pavement
Detailed Description
The invention is described in detail below with reference to examples.
Firstly, several long-life pavement structures are primarily designed according to traffic parameters, environmental factors, soil conditions, material characteristics and the like.
The traffic parameters mainly comprise vehicle types, traffic volumes and the action times of all levels of axle loads, are converted into the action times of standard axle loads, and can be obtained through traffic sampling investigation. The environmental conditions can be obtained through climate zoning, and meanwhile, the local weather bureau can obtain the main environmental factors such as rainfall, temperature and the like which influence the physical state of the pavement material. The soil foundation needs to bear the weight of road structures and vehicle loads, and the soil foundation needs to be satisfied that sedimentation cannot occur in long-time running of vehicles. The structural layer materials are selected according to the functions born by the structural layers of the road. The structure of the road surface is shown in the following table.
Table 1 primary road surface structure 1
Table 2 primary road surface structure 2
TABLE 3 Primary pavement structure 3
Table 4 primary road surface structure 4
And then, inputting the information such as the thickness, the material modulus, the calculation point position, the load type and the like of each structural layer in the pavement structure into kenpave software, calculating the tensile strain of the asphalt layer bottom of the pavement structure and the compressive strain of the roadbed top surface through the software, and judging whether the information meets the requirements of design indexes.
TABLE 5 design index data sheet
Pavement structure | Asphalt layer bottom tensile strain (mu epsilon) | Roadbed top pressure strain (mu epsilon) |
Primary pavement structure 1 | 45.1 | 139.4 |
Primary road surface structure 2 | 81.5 | 197.8 |
Primary road surface structure 3 | 39.2 | 93.4 |
Primary road surface structure 4 | 38.6 | 100.7 |
The tensile strain of the asphalt layer bottom is not more than 70 mu epsilon, and the modified asphalt is not more than 100 mu epsilon. The pressure strain of the top surface of the roadbed is not more than 220 mu epsilon. The design index requirements can be met by the initial pavement structure.
The road surface structure drawn by the calculation example is optimized by adopting the invention. The performance indexes adopted in this example are: the permanent deformation of asphalt mixture, the fatigue cracking times of asphalt mixture layer and the pressure strain at the top of roadbed. According to the asphalt pavement design Specification (JTG D50-2017), the permanent deformation of the asphalt mixture layers can be calculated by calculating the deformation of each asphalt mixture layer, so as to obtain the total deformation. The fatigue cracking times can be calculated according to the layer-by-layer bottom tensile stress of the asphalt mixture. The calculation results of the respective performance indexes of the road surface structure are shown in table 6.
TABLE 6 decision matrix
The original index values are preprocessed to change the decision matrix into a standardized decision matrix, as shown in table 7.
Forward pretreatment of reverse indexes: y' ij=max{xij}-xij
Standardized pretreatment:
table 7 normalized decision matrix
According to the standardized decision matrix, entropy weight method is adopted to calculate entropy values and entropy weights of all indexes, as shown in table 8.
Specific gravity of the i-th index: Entropy value of the i-th index: If f ij =0, then f ijlnfij =0 entropy weight of the i-th index:
Table 8 entropy weight calculation table
The coefficient of variation was calculated using the coefficient of variation method according to the standardized decision matrix, as shown in table 9.
Mean value of the i-th index: standard deviation of the i-th index: coefficient of variation: Calculating the weight of each design index:
TABLE 9 coefficient of variation calculation table
Calculating combining weights
Combination weighting:
the obtained combination weights are calculated as follows: 0.377,0.320,0.303.
The final balance score was calculated as shown in table 10.
Balance score: h i=yij×wi
Table 10 balance score table
Calculation result | Pavement structure 1 | Pavement structure 2 | Pavement structure 3 | Pavement structure 4 |
Balance score | 0.525 | 0.35 | 0.781 | 0.602 |
And finally, comparing the balance degree scores of the pavement structures, wherein the higher the balance degree score is, the better the comprehensive performance is. The pavement structure 3 has optimal road performance.
The invention can provide a new selection method for selecting the long-life pavement structure, and achieves the purposes of optimal road performance and longest service life.
The invention is based on the checking index of the long-life road surface structure, and makes comprehensive weight evaluation on whether the long-life road surface structure is good or not, and the result has higher reliability and robustness. Aiming at common road diseases of long-life road surfaces in different areas, the weight of corresponding indexes can be pertinently improved, so that the method is suitable for selecting long-life road surface structures in different areas. By adopting the method, various performance indexes of the pavement structure are comprehensively considered, the importance of excessively amplifying a certain index is avoided, and the pavement structure with the optimal comprehensive performance can be selected.
In summary, the invention can respectively establish a single response relation based on the response surface model according to the multi-objective balance requirements of the working performance, the mechanical performance and the shrinkage performance of the pre-filled aggregate concrete, and an expected function method is adopted to obtain the optimal combination of the parameters of the pre-filled aggregate concrete grouting material in the range meeting the acceptable multi-objective response requirements, so that the composite desirability D value is maximized when the component values are moderate, and the feasible domain range of the parameters of the grouting material under the multi-objective response requirements can be conveniently determined.
Although embodiments of the present invention have been shown and described, it will be understood by those skilled in the art that various changes, modifications, substitutions and alterations can be made therein without departing from the principles and spirit of the invention, the scope of which is defined in the appended claims and their equivalents.
Claims (5)
1. A long life pavement structure optimization method, characterized by: the method comprises the following steps:
Firstly, designing a plurality of long-life pavement structures according to traffic parameters, environmental factors, soil base conditions and material characteristic factors;
checking the primary pavement structure by kenpave software;
Thirdly, according to the indoor test method specified by the existing specifications and regulations, N performance indexes of M pavement structure schemes are respectively obtained to form a decision matrix X, and standardized processing is carried out to convert the decision matrix X into a standardized decision matrix Y;
Pavement structure scheme set: w= { W 1,W2,…,Wn }; road performance index set: v= { V 1,V2,…,Vn }
Wherein: i represents an ith road performance index, j represents a jth road structure scheme, m represents the number of primary road structures, and n represents the number of road performance indexes used;
normalization process, converting decision matrix X into normalized decision matrix Y
yi"j=max{xij}-xij
Wherein: y i'j' is a reverse index, and y ij is a standardized road performance index;
step four, respectively weighting the ith performance index by adopting an entropy weighting method and a variation coefficient method according to the standardized decision matrix y;
firstly, weighting an ith index by adopting an entropy weighting method
If f ij =0, f ijlnfij =0
Wherein: f ij is the proportion of the ith road performance index in the jth road surface structural scheme, e i is the entropy value of the ith road performance index, and d i is the entropy weight of the ith road performance index;
secondly, weighting the ith index by adopting a variation coefficient method
Wherein: The mean value of the ith road performance index is represented, s i is the standard deviation of the ith road performance index, v i is the variation coefficient of the ith road performance index, and p i is the weight of the ith road performance index;
step five, combining weights to determine weights, and multiplying the weights obtained by combining weights with a standardized decision matrix Y to obtain a final balance degree score;
Hi=yij×wi
Wherein: w i is the weight of the combination weighting of the ith road performance index, and H i is the balance degree score of the ith road performance index; the larger H i is, the better the road performance of the road surface structure is, and the road surface structure is selected according to the calculated balance degree.
2. The long life pavement structure optimization method of claim 1, wherein: in the first step, the primary pavement structure comprises a semi-rigid base pavement structure, a flexible base pavement structure, a full-thickness asphalt pavement structure and a combined asphalt pavement structure according to local traffic parameters, environmental factors, soil conditions and material characteristic factors.
3. The long life pavement structure optimization method of claim 1, wherein: in the second step, kenpave software is adopted to carry out checking calculation of design indexes of the drawn long-life pavement structure, and the checked design indexes mainly comprise: the tensile strain of the asphalt layer bottom and the compressive strain of the roadbed top surface are not more than 70 mu epsilon, and when modified asphalt is adopted, the tensile strain of the asphalt layer bottom is not more than 100 mu epsilon, and the compressive strain of the roadbed top surface is not more than 220 mu epsilon.
4. The long life pavement structure optimization method of claim 1, wherein: after the designed long-life pavement structure meets the verification of design indexes, calculating the final balance degree score in a combined weighting mode, and comparing and selecting the balance degree score to obtain the optimal long-life pavement structure.
5. The long life pavement structure optimization method of claim 1, wherein: when the road performance of the road surface structure is evaluated, different road performance indexes can be selected for evaluation according to requirements, wherein the evaluation indexes comprise the permanent deformation of the asphalt mixture, fatigue cracking of the asphalt mixture layer and pressure strain of the top surface of the roadbed.
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