CN112948746B - Composite roadbed post-construction settlement prediction method based on fuzzy comprehensive evaluation - Google Patents
Composite roadbed post-construction settlement prediction method based on fuzzy comprehensive evaluation Download PDFInfo
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Abstract
The invention discloses a composite roadbed post-construction settlement prediction method based on fuzzy comprehensive evaluation. Firstly, selecting an evaluation index set and two layers of factor index sets according to the characteristics of various influencing factors in the construction of the composite roadbed, and determining the value domain grading standards of the evaluation indexes and the factor indexes according to standard allowable values and finite element numerical simulation calculation results; then, carrying out standardization processing on each factor index, and constructing a standard membership function suitable for the factor indexes of the first layer and the second layer by adopting an exponential normal distribution function; and finally, constructing a post-construction settlement comprehensive evaluation matrix of the composite foundation of the expressway on the basis of determining the index weight of each layer according to an entropy weight method, and predicting the variation range of the post-construction settlement. The method can obtain the change interval of the post-construction settlement by simple calculation according to the basic data of the actual engineering, and realize the prediction of the post-construction settlement of the highway composite foundation.
Description
Technical Field
The invention relates to the field of traffic engineering, in particular to a composite roadbed post-construction settlement prediction method based on fuzzy comprehensive evaluation.
Background
With the rapid development of national economy, more and more expressways, urban expressways and other projects are put into construction and operation, and the composite roadbed is widely applied due to the advantages of short construction period, good foundation treatment effect and the like. Although the construction period of the composite roadbed meets the quality detection requirements of the relevant national regulations, the phenomenon of high post-construction settlement still frequently occurs in the operation period, and the situation is particularly prominent in a soft-roadbed section. In consideration of the detection and evaluation of the quality of the pile body and the bearing capacity of the foundation mainly aiming at the composite roadbed in the construction period at the present stage, and the evaluation in the aspect of post-construction settlement is not involved, so that the prediction of the post-construction settlement of the composite roadbed in the construction period can be used as an effective supplement of the quality evaluation of the composite roadbed, and the design and the construction of the composite roadbed are further guided.
Many scholars and engineers have conducted beneficial research on the problem of post-construction settlement of the composite roadbed by means of theoretical analysis, numerical simulation, on-site observation data fitting and the like. However, theoretical analysis and numerical simulation have high requirements on the technical level of people, and the field observation data fitting method has low timeliness. Because the settlement problem of the composite roadbed after construction relates to a plurality of factors and has obvious randomness, the method adopts an uncertain means to establish a prediction model and a calculation method, can enrich the prediction means of the settlement of the composite roadbed after construction, can utilize the established model to quickly acquire the settlement of the composite roadbed after construction through simple calculation, and has certain theoretical and practical significance.
Disclosure of Invention
In order to overcome the defects of the prior art, the invention provides the method for predicting the composite subgrade post-construction settlement based on the fuzzy comprehensive evaluation, which can simply and quickly predict the composite subgrade post-construction settlement of the high-grade highway.
In order to achieve the purpose, the invention is realized by the following technical scheme:
a composite roadbed post-construction settlement prediction method based on fuzzy comprehensive evaluation comprises the following steps:
s1: firstly, selecting an evaluation index set and two layers of factor index sets according to the characteristics of various influencing factors in the construction of the composite roadbed, and determining the value domain grading standards of the evaluation indexes and the factor indexes according to standard allowable values and finite element numerical simulation calculation results;
s2: then, carrying out standardization processing on each factor index, and constructing a standard membership function suitable for the factor indexes of the first layer and the second layer by adopting an exponential normal distribution function;
s3: and finally, constructing a post-construction settlement comprehensive evaluation matrix of the composite foundation of the expressway on the basis of determining the index weight of each layer according to an entropy weight method, and predicting the variation range of the post-construction settlement.
The step S1 specifically includes the following substeps:
s11: establishing a judgment set V = { V } by using post-construction settlement change interval 1 ,v 2 ,v 3 ,v 4 }, and the first layer factor index set U = { U = 1 ,U 2 ,U 3 ,U 4 And second layer factor index set
Wherein: u shape i Is an index of the first layer factor, u ij Is an index of the second layer factor, n i Is U i The number of the included second layer factor indexes is as follows: i =1,2,3,4, j =1,2, …, n i ；
S12: determining a second tier factor indicator u ij Corresponding to the classification standard of the post-construction settlement evaluation set.
In the step S11, the first layer factor indexes are geological indexes U respectively 1 Pile body index U 2 And a cushion layer index U 3 And construction index U 4 ；
The second layer factor index is the compressed soil layer thickness u 11 Compression modulus u 12 And cohering and gatheringForce u 13 Inner angle of friction u 14 Modulus u of pile body 21 Pile length u 22 Pile diameter u 23 Pile spacing u 24 Thickness u of the cushion layer 31 Modulus of the cushion layer u 32 Inner friction angle u of cushion layer 33 Fill height u 41 Fill rate u 42 Prepressing height u 43 And a pre-pressing time u 44 。
In step S12, the second layer factor index u ij The method for determining the grading standard corresponding to the post-construction settlement evaluation set comprises the following steps:
step 120: according to the engineering conditions of the area where the analyzed road section is located and the current national standard requirements, the value range and the mode of each second-layer factor index are given;
step 121: taking the mode of the second-layer factor indexes as an initial value, and respectively taking 5-6 values at equal intervals in the value range of each second-layer factor index to calculate the post-construction settlement value one by adopting a finite element numerical calculation method;
step 122: according to the factor index u of the post-construction settlement along with the second layer ij The change rule of (1) is ij The classification is three types:
1) Negative type indexes are as follows: is accompanied by u ij The value is increased, the post-construction settlement value is increased, and the evaluation grade is reduced;
2) The positive index is as follows: is followed u ij The value is increased, the post-construction settlement value is reduced, and the evaluation grade is improved;
3) Zero attribute index: is accompanied by u ij The value is increased, the post-construction settlement value is not obviously changed, and the variation quantity is less than 50mm;
step 123: and respectively carrying out normalization processing on the positive type attribute index and the negative type attribute index (the zero attribute index is processed according to the positive type index) so as to ensure that the post-construction settlement value is reduced along with the increase of the normalization index and the evaluation grade is better.
The positive index normalization formula:
negative class index normalization formula:
in the formula:
is a positive type index or a zero attribute index,
is a negative index, q ij Q is a normalized value of each index, 0 is more than or equal to q ij ≤1；
Step 124: analysis of post-construction Settlement with q ij The change rule of (a) is that q is determined by linear interpolation when the post-construction settlement is 100mm,200mm and 300mm ij The value is substituted for formula (1) or formula (2) to obtain the corresponding u ij Determining a grading standard, wherein the zero attribute index belongs to v within the value range 1 Grade;
wherein when q is ij When = 0:
1) If the post-construction settlement belongs to [200,300 ], the q when the post-construction settlement is 300mm can not be directly determined by a linear interpolation method ij The values, q, for the post-construction settlement of 100mm and 200mm are determined by linear interpolation ij Value, and q corresponds to 200mm of post-construction settlement ij 1/2 of the value is defined as q corresponding to 300mm ij The value is substituted for formula (1) or formula (2) to obtain the corresponding u ij Determining a grading standard;
2) If the post-construction settlement belongs to [100,200 ], q when the post-construction settlement is 200mm and 300mm can not be directly determined by a linear interpolation method ij The value of q when the post-construction settlement is 100mm is determined by linear interpolation ij Value and q corresponding to 100mm of post-construction settlement ij 1/2 of the value is defined as q corresponding to 200mm ij Value q corresponding to 100mm of post-construction settlement ij 1/4 of the value is defined as q corresponding to 300mm ij The value is substituted for formula (1) or formula (2) to obtain the corresponding u ij And determining a grading standard.
Step S2 is specifically:
constructing a second layer factor index u ij The membership function of the evaluation index post-construction settlement is calculated, and the second degree of the pre-analysis road section is calculatedLayer factor index u ij The membership degree of the value, thereby establishing an i-th class first-layer factor index U i Relation matrix R of lower second layer factor index and post-construction settlement evaluation grade i ：
Wherein
Is a factor u ij For v k K =1,2,3,4.
The step S3 specifically includes the following substeps:
s31: establishing a second layer factor weight set by adopting an entropy weight method
And carrying out first-layer comprehensive evaluation to obtain U i Comprehensive evaluation matrix of
Wherein
S32: establishing a relation matrix R = [ B ] of the first layer factor index and the evaluation level 1 B 2 B 3 B 4 ] T ；
S33: a first layer factor weight set W = [ W ] determined by adopting an entropy weight method 1 w 2 w 3 w 4 ]And carrying out second-layer comprehensive judgment to obtain a judgment matrix B = [ B ] of post-construction settlement 1 b 2 b 3 b 4 ]Wherein
S34: and 4 elements of the analysis matrix B respectively correspond to 4 evaluation levels of the post-construction settlement evaluation set V one by one, and the evaluation level of the post-construction settlement evaluation set V corresponding to the maximum element of the analysis matrix B is taken to determine the variation interval of the post-construction settlement value of the analyzed road section.
Compared with the prior art, the invention has the beneficial effects that:
(1) The method fully considers the influence of engineering geology, construction measures and indexes of the pile body and the cushion layer on the post-construction settlement of the composite roadbed, and more objectively predicts the post-construction settlement of the composite roadbed.
(2) The method can obtain the change interval of the post-construction settlement through simple calculation only according to the basic data of the actual engineering, and the calculation result is beneficial to the optimization design, the improvement of the construction quality and the like, thereby being convenient for early targeted treatment and prevention, having high calculation efficiency and wide application prospect.
(3) In order to avoid the problems that accurate calculation of weight and membership are not easy, related factors are more and the like, an entropy weight method, a standardized membership function and a two-layer evaluation system are adopted, so that the calculation accuracy is improved, influence factor indexes are reduced due to comprehensive evaluation in each layer, and the method is more convenient for practical application.
Drawings
FIG. 1 is a graph of normalized values of post-construction settlement, compressed soil layer thickness, compression modulus, cohesive force and internal friction angle.
Fig. 2 is a relation curve of post-construction settlement and pile body modulus, pile length, pile diameter and pile spacing normalized value.
FIG. 3 is a graph of normalized values of post-construction settlement versus pad thickness, pad modulus, and pad internal friction angle.
FIG. 4 is a graph showing the relationship between post-construction settlement and the normalized value of the fill height, fill rate, pre-compaction height and pre-compaction time.
Detailed Description
The following examples are given for the detailed implementation and specific operation of the present invention, but the scope of the present invention is not limited to the following examples.
The method for predicting the settlement of the composite subgrade after the construction based on the fuzzy comprehensive evaluation is specifically realized through the following steps:
step S1: firstly, selecting an evaluation index set and two layers of factor index sets according to the characteristics of various influencing factors in the construction of the composite roadbed, and determining the value domain grading standards of the evaluation indexes and the factor indexes according to standard allowable values and finite element numerical simulation calculation results; the method specifically comprises the following substeps:
s11: establishing a judgment set V = { V } according to a post-construction settlement change interval 1 ,v 2 ,v 3 ,v 4 See table 1 for grading standards:
TABLE 1 post-construction settlement grading Standard
When the post-construction settlement value is larger than 400mm in the standardization treatment of the post-construction settlement value of the actual engineering, calculating according to 400mm to ensure that the sizes of all classification intervals are consistent.
Establishing a first layer factor index set U = { U = { U = 1 ,U 2 ,U 3 ,U 4 And second layer factor index set
Wherein: u shape i Is an index of the first layer factor, u ij Is an index of the second layer factor, n i Is U i The number of the included second layer factor indexes is as follows: i =1,2,3,4, j =1,2, …, n i (ii) a The first layer factor indexes are geological indexes U 1 Pile body index U 2 And a cushion layer index U 3 And construction index U 4 The second layer factor index is the compressed soil layer thickness u 11 Compression modulus u 12 Cohesion force u 13 Inner angle of friction u 14 Modulus u of pile body 21 Pile length u 22 Pile diameter u 23 Pile spacing u 24 And a cushion layer thickness u 31 Modulus of the cushion layer u 32 Inner friction angle u of cushion layer 33 Fill height u 41 Fill rate u 42 Prepressing height u 43 And pre-pressing time u 44 。
S12: determining a second tier factor indicator u ij The grading standard corresponding to the post-construction settlement evaluation set comprises the following steps:
step 120: according to the engineering conditions of the area where the analyzed road section is located and the current national standard requirements, the value range and the mode of each second-layer factor index are given;
step 121: taking the mode of the second-layer factor indexes as an initial value, and respectively taking 5-6 values at equal intervals in the value range of each second-layer factor index to calculate the post-construction settlement value one by adopting a finite element numerical calculation method;
step 122: according to the factor index u of post-construction settlement along with the second layer ij The change rule of (1) is ij The classification is three types:
1) Negative type indexes are as follows: is accompanied by u ij The value increases, the post-construction settlement value increases, and the evaluation grade decreases.
2) The positive index is as follows: is followed u ij The value is increased, the post-construction settlement value is reduced, and the evaluation grade is improved.
3) Zero attribute index: is accompanied by u ij The value is increased, the post-construction settlement value is not obviously changed, and the variation is less than 50mm.
Step 123: and respectively carrying out normalization processing on the positive attribute indexes and the negative attribute indexes (the zero attribute indexes are processed according to the positive attribute indexes) so as to ensure that the settlement value after construction is reduced and the evaluation grade is better along with the increase of the normalization indexes.
The positive index normalization formula:
negative class index normalization formula:
in the formula:
is a positive type index or a zero attribute index,
is a negative index, q ij Q is a normalized value of each index, 0 is more than or equal to q ij ≤1。
Step 124: analysis of post-construction Settlement with q ij The change rule of (a) is that q is determined by linear interpolation when the post-construction settlement is 100mm,200mm and 300mm ij The value is substituted for formula (1) or formula (2) to obtain the corresponding u ij Determining a grading standard, wherein for the zero attribute index, the value range is all subordinated to v 1 And (4) grading.
In particular, when q is ij When = 0:
1) If the post-construction settlement belongs to [200,300 ], the q when the post-construction settlement is 300mm can not be directly determined by a linear interpolation method ij The values, q, for the post-construction settlement of 100mm and 200mm are determined by linear interpolation ij Value and q corresponding to 200mm of post-construction settlement ij 1/2 of the value is defined as q corresponding to 300mm ij The value is substituted for formula (1) or formula (2) to obtain the corresponding u ij Determining a grading standard;
2) If the post-construction settlement belongs to 100,200), q when the post-construction settlement is 200mm and 300mm can not be directly determined by a linear interpolation method ij The value of q when the post-construction settlement is 100mm is determined by linear interpolation ij Value and q corresponding to 100mm of post-construction settlement ij 1/2 of the value is defined as q corresponding to 200mm ij Value q corresponding to 100mm of post-construction settlement ij 1/4 of the value is defined as q corresponding to 300mm ij The value is substituted for formula (1) or formula (2) to obtain the corresponding u ij And determining a grading standard.
Step S2: then, each factor index is standardized, and a standard membership function suitable for the factor indexes of the first layer and the second layer is constructed by adopting an exponential normal distribution function, which specifically comprises the following steps:
according to u ij And respectively carrying out standardization treatment on the evaluation grade k according to positive and negative attribute indexes:
thereby constructing a second layer factor index u ij And (4) evaluating the membership function of the post-construction settlement of the index.
And calculating the factor index u of the second layer of the pre-analysis road section ij The membership degree of the value, thereby establishing an i-th class first-layer factor index U i Relation matrix R of lower second layer factor index and post-construction settlement evaluation grade i ：
Wherein
Is a factor u ij For v k K =1,2,3,4.
And step S3: and finally, according to an entropy weight method, on the basis of determining the index weight of each layer of factor indexes, constructing a post-construction settlement comprehensive evaluation matrix of the composite foundation of the expressway, and predicting the variation range of the post-construction settlement, wherein the method specifically comprises the following steps:
s31: establishing a second layer factor weight set by adopting an entropy weight method
And carrying out first-layer comprehensive evaluation to obtain U i Comprehensive evaluation matrix of
Wherein
S32: establishing a relation matrix R = [ B ] of the first layer factor index and the evaluation level 1 B 2 B 3 B 4 ] T ；
S33: a first layer factor weight set W = [ W ] determined by adopting an entropy weight method 1 w 2 w 3 w 4 ]And carrying out comprehensive evaluation on the second layer to obtain an evaluation matrix B = [ B ] of post-construction settlement 1 b 2 b 3 b 4 ]In which
S34: and 4 elements of the analysis matrix B are respectively in one-to-one correspondence with 4 evaluation levels of the post-construction settlement evaluation set V, and the maximum element of the analysis matrix B is taken to correspond to the evaluation level of the post-construction settlement evaluation set V so as to determine the variation interval of the post-construction settlement value of the analyzed road section.
Examples
A certain highway in Guangdong province begins to be built in 2011 and 12 months, a communication vehicle is built in 2015 and 7 months, wherein a bridge head transition section K32+ 230-K32 +260 adopts a CFG pile composite roadbed processing mode. Geological survey data reveal that the thickness of a compressed soil layer of the road section is 22.6m, the average compression modulus is 6450kPa, the average cohesive force is 9.5kPa, and the internal friction angle is 6.7 degrees; the main construction indexes are as follows: the pile diameter is 0.4m, the pile length is 25m, the space is 2.2m, the pile body modulus is 8.0GPa, and the quincunx arrangement is adopted. Designing the filling height of the road section to be 5.3m, designing the filling speed to be 30cm/d, and not pre-pressing due to short construction period; the broken stone cushion layer with the thickness of 30cm, the modulus of 100MPa and the internal friction angle of 35 degrees is adopted.
Firstly, the value range of each second-layer factor index is given according to a large amount of collected CFG pile composite roadbed engineering sample data, the existing standard requirements and the field survey results.
(1) Geological index U 1 . The method comprises the following steps: compressed soil thickness u 11 Compression modulus u 12 And a cohesive force u 13 And internal angle of friction u 14 . In practical engineering, the CFG pile is mainly used for treating the roadbed with the soft soil layer thickness not more than 30m, otherwise, not only the pile forming quality is not easy to control, but also the cost performance is not high, so the value range of the compressed soil layer thickness is 0-30 m. The shear strength of the cross plate of the soft soil layer in Guangdong region is generally 4-12 kPa, the lowest cohesive force c in the shear strength index is less than 3.2kPa, and the lowest internal friction angle
The porosity ratio is generally more than 1.0, and the compression coefficient is between 0.5 and 1.0MPa -1 Within the range, the value ranges are respectively as follows: the cohesive force is 1-15 kPa, the internal friction angle is 1-10 degrees, and the compression modulus is 1-10 MPa.
(2) Pile body index U 2 . The method comprises the following steps: modulus u of pile body 21 Pile length u 22 Pile diameter u 23 And pile spacing u 24 . According to the requirements of section 4.1.5 of concrete structure design Specification, when the design strength is 5-20 MPa, integers are taken to obtain the value range of the compression modulus of the CFG pile body, wherein the value range is 800-30000 MPa. According to the depth of a soft soil layer suitable for processing and the standard requirement, the range of the pile length is 0-30 m, the pile diameter is 0.35-0.60 m, and the pile spacing is 1.4-3.0 m.
(3) Cushion layer index U 3 . The method comprises the following steps: thickness u of the cushion layer 31 Modulus of the cushion layer u 32 And the inner friction angle u of the cushion layer 33 . The thickness of the CFG pile composite roadbed cushion layer is 0.3-0.6 m generally, and the value range is 0-0.8 m in consideration of extreme conditions; the cushion layer is mainly medium coarse sand and broken stones, so that the modulus of the cushion layer ranges from 50MPa to 250MPa, and the internal friction angle ranges from 15 degrees to 60 degrees.
(4) Construction index U 4 . The method comprises the following steps: height u of filling 41 Fill rate u 42 Prepressing height u 43 And pre-pressing time u 44 . The filling height of the high-grade highway is mainly influenced by the terrain and planning, and is usually not more than 20m except for few mountain roads, so that the value range of the filling height is 1-20 m. The normal loading rate of the embankment filling is between 20 and 70cm/d, and for convenience of analysis, the filling rate is 5 to 100cm/d.The surcharge preloading mainly comprises underload preloading, equal-load preloading and overload preloading, wherein the overload height does not exceed 3.0m and the preloading time does not exceed 1 year under general conditions, so the pre-load height ranges from 0 to 3.0m and the preloading time ranges from 0 to 360d.
Obtaining the value range and the mode of each second-layer factor index according to the engineering condition of the area where the analyzed road section is located and the current national standard requirement; and taking the mode as an initial value, respectively taking 5-6 values at equal intervals in the value range of each second-layer factor index by using finite element software, and calculating the post-construction settlement value one by one to analyze the single-factor influence post-construction settlement rule.
TABLE 2 initial conditions of the secondary factor index
And respectively carrying out normalization processing on the positive type attribute index and the negative type attribute index (the zero attribute index is processed according to the positive type index) so as to ensure that the post-construction settlement value is reduced along with the increase of the normalization index and the evaluation grade is better. Therefore, the relation between the post-construction settlement and the normalized value of each index can be obtained, and the figure is shown in figures 1 to 4. Thereby determining the ranking criteria based on the results of the computational analysis.
TABLE 2 initial conditions and grading standards for Secondary factor indices
The design and construction data of 71 high-grade highway sections adopting CFG pile composite roadbeds for traffic of nearly 2-5 years in the Guangdong region are collected. The entropy weight method is used for calculation, and the calculation result of the second layer factor index weight is shown in table 3.
W 1 ＝[39.1 35.9 22.5 2.5]W 2 ＝[27.4 24.3 26.9]
W 3 ＝[41.1 21.7 37.2]W 4 ＝[22.3 9.3 37.4]
According to the second layer factor index u ij For evaluation of index post-construction settlementThe membership function and the engineering conditions in this example can be given by:
thereby obtaining
First layer factor weight set W determined by entropy weight method = [ 15.7.29.4.8.20.1 ]
Thus, B = WR = [0.222 0.275 0.262 0.192]
The 4 elements of the analysis matrix B are respectively in one-to-one correspondence with the 4 evaluation grades of the post-construction settlement evaluation set V, the second element of the analysis matrix B is the maximum element, and the evaluation grade corresponding to the post-construction settlement evaluation set V is V 2 And the post-construction settlement range is [100mm,200mm ].
Claims (3)
1. A composite roadbed post-construction settlement prediction method based on fuzzy comprehensive evaluation is characterized by comprising the following steps:
s1: firstly, selecting an evaluation index set and two layers of factor index sets according to the characteristics of various influencing factors in the construction of the composite roadbed, and determining the value domain grading standards of the evaluation indexes and the factor indexes according to standard allowable values and finite element numerical simulation calculation results;
s2: then, carrying out standardization processing on each factor index, and constructing a standard membership function suitable for the factor indexes of the first layer and the second layer by adopting an exponential normal distribution function;
s3: finally, according to an entropy weight method, on the basis of determining the index weight of each layer of factor indexes, constructing a post-construction settlement comprehensive evaluation matrix of the composite foundation of the expressway, and predicting the variation range of the post-construction settlement;
the step S1 specifically includes the following substeps:
s11: establishing a judgment set V = { V } by using post-construction settlement change interval 1 ,v 2 ,v 3 ,v 4 And a first layer factor index set U = { U = { U } 1 ,U 2 ,U 3 ,U 4 And second layer factor index set
Wherein: u shape i Is an index of the first layer factor, u ij Is an index of the second layer factor, n i Is U i The number of the included second layer factor indexes is as follows: i =1,2,3,4,j =1,2, …, n i ；
S12: determining a second tier factor indicator u ij Corresponding to the classification standard of the post-construction settlement evaluation set;
in the step S11, the first layer factor indexes are geological indexes U respectively 1 Pile body index U 2 And a cushion layer index U 3 And construction index U 4 ；
The second layer factor index is the compressed soil layer thickness u 11 Compression modulus u 12 Cohesion force u 13 Inner angle of friction u 14 Modulus u of pile body 21 Pile length u 22 Pile diameter u 23 Pile spacing u 24 And a cushion layer thickness u 31 Modulus of the cushion layer u 32 Inner friction angle u of cushion layer 33 Fill height u 41 Fill rate u 42 And a pre-pressing height u 43 And pre-pressing time u 44 ；
In step S12, the second layer factor index u ij The method for determining the grading standard corresponding to the post-construction settlement evaluation set comprises the following steps:
step 120: according to the engineering conditions of the area where the analyzed road section is located and the current national standard requirements, the value range and the mode of each second-layer factor index are given;
step 121: taking the mode of the second layer factor indexes as an initial value, and respectively taking 5-6 values at equal intervals in the value range of each second layer factor index by adopting a finite element numerical value calculation method to calculate the post-construction settlement value one by one;
step 122: according to the factor index u of post-construction settlement along with the second layer ij The change rule of (c) is ij The classification is three types:
1) Negative type indexes are as follows: is accompanied by u ij The value is increased, the post-construction settlement value is increased, and the evaluation grade is reduced;
2) The positive type index: is accompanied by u ij The value is increased, the post-construction settlement value is reduced, and the evaluation grade is improved;
3) Zero attribute index: is followed u ij The value is increased, the post-construction settlement value is not obviously changed, and the variation quantity is less than 50mm;
step 123: respectively carrying out normalization processing on positive attribute indexes and negative attribute indexes to ensure that the post-construction settlement value is reduced and the evaluation grade is better along with the increase of the normalization indexes;
the positive index normalization formula:
negative class index normalization formula:
in the formula:
is a positive type index or a zero attribute index,
is a negative index, q ij Q is a normalized value of each index, 0 is more than or equal to q ij ≤1；
Step 124: analysis of post-construction Settlement with q ij The change rule of (a) is that q is determined by linear interpolation when the post-construction settlement is 100mm,200mm and 300mm ij The value is substituted for formula (1) or formula (2) to obtain the corresponding u ij Determining a grading standard, wherein the zero attribute index belongs to v within the value range 1 Grade;
wherein when q is ij When = 0:
1) If the post-construction settlement belongs to [200,300 ], the q when the post-construction settlement is 300mm can not be directly determined by a linear interpolation method ij The values, q, for the post-construction settlement of 100mm and 200mm are determined by linear interpolation ij Value and q corresponding to 200mm of post-construction settlement ij 1/2 of the value is defined as q corresponding to 300mm ij The value is substituted for formula (1) or formula (2) to obtain the corresponding u ij Determining a grading standard;
2) If the post-construction settlement belongs to [100,200 ], q when the post-construction settlement is 200mm and 300mm can not be directly determined by a linear interpolation method ij The value of q when the post-construction settlement is 100mm is determined by linear interpolation ij Value and q corresponding to 100mm of post-construction settlement ij 1/2 of the value is defined as q corresponding to 200mm ij Value q corresponding to 100mm of post-construction settlement ij 1/4 of the value is defined as q corresponding to 300mm ij The value is substituted for formula (1) or formula (2) to obtain the corresponding u ij And determining a grading standard.
2. The method for predicting the settlement of the composite roadbed after construction based on the fuzzy comprehensive evaluation as claimed in claim 1, wherein the step S2 is specifically as follows:
constructing a second layer factor index u ij Calculating membership function of evaluation index post-construction settlement and calculating factor index u of second layer of pre-analysis road section ij The membership degree of the value, thereby establishing an i-th class first-layer factor index U i Relation matrix R of lower second layer factor index and post-construction settlement evaluation grade i ：
Wherein
Is a factor u ij For v k K =1,2,3,4.
3. The method for predicting the settlement of the composite roadbed after the construction based on the fuzzy comprehensive evaluation as claimed in claim 1 is characterized in that the step S3 specifically comprises the following substeps:
s31: establishing a second layer factor weight set by adopting an entropy weight method
And carrying out first-layer comprehensive evaluation to obtain U i Comprehensive evaluation matrix of
Wherein
S32: establishing a relation matrix R = [ B ] of the factor indexes of the first layer and the evaluation levels 1 B 2 B 3 B 4 ] T ；
S33: first layer factor weight set W = [ W ] determined by entropy weight method 1 w 2 w 3 w 4 ]And carrying out comprehensive evaluation on the second layer to obtain an evaluation matrix B = [ B ] of post-construction settlement 1 b 2 b 3 b 4 ]Wherein
S34: and 4 elements of the analysis matrix B are respectively in one-to-one correspondence with 4 evaluation levels of the post-construction settlement evaluation set V, and the maximum element of the analysis matrix B is taken to correspond to the evaluation level of the post-construction settlement evaluation set V so as to determine the variation interval of the post-construction settlement value of the analyzed road section.
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