CN106599363A - Method for evaluating health indexes of harbor concrete member based on analytic hierarchy process - Google Patents
Method for evaluating health indexes of harbor concrete member based on analytic hierarchy process Download PDFInfo
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- CN106599363A CN106599363A CN201610991067.5A CN201610991067A CN106599363A CN 106599363 A CN106599363 A CN 106599363A CN 201610991067 A CN201610991067 A CN 201610991067A CN 106599363 A CN106599363 A CN 106599363A
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Abstract
The invention provides a method for evaluating the health indexes of a harbor concrete member based on the analytic hierarchy process. The method for evaluating the health indexes of a harbor concrete member based on the analytic hierarchy process comprises the following steps: confirming the target layer, the criterion layer and the decision layer and structuring a judgment matrix; calculating the weight coefficients of the six variables of the criterion layer assigned on the basis of the target layer; and calculating the score of the target layer according to the consistency weight distribution equation to measure the health status of concrete. By means of the analytic hierarchy process provided by the invention to evaluate the health indexes of a harbor concrete member, the working performances of the harbor concrete members can be monitored accurately, and the defects that the calculation amount is large, the calculation time is long and the calculation is difficult to use in routine conditions in the evaluation of concrete health indexes in engineering practice can be solved effectively, and the method for evaluating the health indexes of a harbor concrete member based on the analytic hierarchy process has the advantages of less unknown quantity, small calculation scale, high accuracy and convenient application.
Description
Technical field
The present invention relates to a kind of method of assessment harbour concrete component health indicator, specifically a kind of to be based on step analysis
The method that method assesses harbour concrete component health indicator.
Background technology
Concrete component of the depths in sea water, its density, width, depth, tortuosity are subject to the chloride ion in sea water
Etc. the impact of various salt ion corrosion functions, and then there is crack, peel off even its density and also destroyed.Therefore, exist
In building field, judge service life of the concrete component under seawater corrosion state and be controlled by, with reduce its deterioration and
Destructiveness has become task more important at present.
At present, the emphasis that this area is studied for concrete structure durability is simply quantitatively to analyze concrete component
In chlorine ion binding capacity thickness of concrete cover, age such as are decayed at the impact of aspect, its whole calculating process is more numerous
Trivial and used data scale is more huge, and the destruction that concrete is only weighed with the diffusion of chloride ion seems have
It is a little unilateral.It is therefore desirable to be able to enough provide a kind of more succinct method, it is being mixed according to practical situation it is determined that studying
Coagulate the extent of steel corrosion of soil, concrete surface and peel off degree, concrete density, agent on crack resistance of concrete oxygen reserve, agent on crack resistance of concrete carbon
After the factors such as deposit, distress in concrete degree, can qualitatively judge to affect shared by reinforced concrete member health indicator
The maximum factor of weight, so as to be optimized to it, to improve the health status of concrete component.
The content of the invention
It is an object of the invention to provide a kind of method of more succinct assessment harbour concrete component health indicator, to solve
Calculating process that the appraisal procedure of certainly existing harbour concrete component health indicator is present is loaded down with trivial details, data scale used is huge, weighing apparatus
The problems such as figureofmerit is excessively unilateral.
The method for assessing harbour concrete component health indicator based on analytic hierarchy process (AHP) of the present invention is comprised the following steps:
(1) destination layer is determined:Harbour reinforced concrete member health indicator is chosen as destination layer;
(2) rule layer is determined:Choose extent of steel corrosion, concrete surface and peel off degree, concrete density, concrete
Antioxygen deposit, agent on crack resistance of concrete carbon deposit, the aspect of distress in concrete degree six are used as rule layer;
(3) decision-making level is determined:Choose the stability three of reinforcing bar and concrete state, component remaining life and component
Aspect is used as decision-making level;
(4) go out judgment matrix according to three aspect composition of content designed in step (3), afterwards using corresponding equation and
Computing formula, tries to achieve the weight coefficient α that six variables of rule layer distribute on the basis of destination layer1、α2、α3、α4、α5、α6;
(5) according to known parameter and corresponding computing formula, obtain respectively reinforcing steel corrosion rate ρ, surface degree of exfoliation μ,
The diffusion coefficient D of chloride iona, carbonation depth x, antioxygen rate ξ, crack mean breadth ωm;
(6) according to concordance weight distribution equation η=α1ρ+α2μ+α3Da+α4x+α5ξ+α6ωm, solve finally for target
The score of layer, so as to weigh out the health status of concrete.
The remarkable advantage of the present invention and it is prominent the characteristics of be:
1., with many factors of analytic hierarchy process (AHP) analyzing influence concrete health status, can comprehensively, specifically assess
The health indicator of harbour concrete component, makes result more objective, accurate, and the maintenance and replacing to harbour concrete component has
Important reference value.
2. each factor is studied for concrete by the decision method of this simple and direct practical judge concrete health status
The impact of health status, with the fraction obtained by concordance distribution equations concrete health status are weighed, high with reliability
Advantage;
3. harbour concrete component health indicator is assessed using analytic hierarchy process (AHP), being capable of accurate measurements harbour concrete structure
The service behaviour of part, efficiently solve engineering assess in practice existing for concrete health indicator it is computationally intensive, calculate when
Between long, be difficult to be calculated the defect of utilization in regular situation, with unknown quantity it is few, calculation scale is little, precision is higher and should
With easily advantage.
Description of the drawings
Fig. 1 is the step analysis block diagram of harbour concrete component health indicator.
Fig. 2 is judgment matrix figure of six factors of rule layer relative to destination layer harbour concrete health status.
Specific embodiment
Below in conjunction with the method for based on analytic hierarchy process (AHP) assessing harbour concrete component health indicator of the accompanying drawing to the present invention
Each step realizes that process is described in detail.
1st, recursive hierarchy structure is set up by step (1), (2), (3).
As shown in figure 1, the recursive hierarchy structure that the present invention is constructed is divided into destination layer, rule layer and the class of decision-making level three.Its
In using harbour reinforced concrete member health status as destination layer, degree, mixed is peeled off with extent of steel corrosion, concrete surface
This six aspect of solidifying soil density, agent on crack resistance of concrete oxygen reserve, agent on crack resistance of concrete carbon deposit, distress in concrete degree as rule layer, with
The stability of reinforcing bar and concrete state, component remaining life and component this three aspect as decision-making level.
2nd, by step (4) Judgement Matricies, and the weight that six variable of calculation criterion layer distribute on the basis of destination layer
Factor alpha1、α2、α3、α4、α5、α6。
1), Judgement Matricies.
Relatively 6 factor X={ x1,x2,....,x6Shadow to destination layer (harbour reinforced concrete member health status)
Size is rung, with Z harbour reinforced concrete member health status are represented.The present invention is compared two-by-two for 6 factors studied
Relatively set up pairwise comparison matrix.Two factors x are taken every timeiAnd xj, with aijRepresent xiAnd xjThe ratio of the impact size to Z, all
Comparative result matrix A=(aij)n×nRepresent, wherein aij>0, A is called that the paired comparison judgment matrix between Z-X (referred to as judges
Matrix).If it can easily be seen that xiWith xjThe ratio of the impact to Z is aij, then xiWith xjThe ratio of the impact to Z should beaijValue
Determination be by digital 1-9 and its reciprocal determine.
Following table is the representative implication of scale value used in this method:
2), the single concordance of level and its inspection.
The present invention is mainly used carries out the single consistency check of level with method, and its principle is, for concordance judges square
Battle array, is exactly corresponding weight after each row normalization.For nonuniformity judgment matrix, approximately its is corresponding after each row normalization
Weight, arithmetic mean of instantaneous value is being asked for as last weight to this 6 column vectors.Specifically formula is:
In sorting layer by layer, judgment matrix is utilized and method carries out the single consistency check of level.The present invention is for criterion
Layer reinforcing steel corrosion rate ρ, surface degree of exfoliation μ, the diffusion coefficient D of chloride iona, carbonation depth x, antioxygen rate ξ, crack mean breadth
ωmSix aspects compare two-by-two the concordance that meet when giving weights generally, and finally need to carry out level using with method
Single consistency check.
Using as follows the step of carrying out level single consistency check with method:
The first step, calculates coincident indicator C.I.:
Second step, table look-up the corresponding Aver-age Random Consistency Index R.I. of determination.It is judged that matrix different rank looks into following table,
Obtain Aver-age Random Consistency Index R.I..
Matrix exponent number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |
R.I. | 0 | 0 | 0.58 | 0.90 | 1.12 | 1.24 | 1.32 | 1.41 | 1.45 | 1.49 | 1.51 |
3rd step, calculates consistency ration C.R. and is judged:
Work as C.R.<When 0.1, it is believed that the concordance of judgment matrix can be acceptance, work as C.R.>When 0.1, it is believed that judge square
Battle array does not meet coherence request, and needs are corrected again to the judgment matrix.
3), total hierarchial sorting and inspection.
Single ranking results of the second layer are exactly total ranking results.Thus power of the 2nd layer of 6 element relative to general objective is calculated
Weight coefficient value3rd layer of 3 element are for the list of last layer (the 2nd layer) j-th element
Weight order isThe element weights wherein do not arranged by j are zero.OrderThe 3rd layer of element is represented for the sequence of the 2nd layer of each element, then the 3rd layer of element for
General objective is ordered as:
Total ranking results are utilized afterwards and method carries out the single consistency check of level.Thus calculate for the 2nd layer j-th
Element is criterionAnd C.R.(3), wherein j=1,2,3 ..., 6, then the 3rd layer of comprehensive test index
4), the weight coefficient α that six variable of calculation criterion layer distribute on the basis of destination layer1、α2、α3、α4、α5、α6。
Using analytic hierarchy process (AHP), to the mutual relation between rule layer each variable according to 1-9 scale value values, so as to structure
The judgment matrix of rule layer is produced, as shown in Figure 2;Judgment matrix to rule layer, the formal test with consistent total sequence is qualified
Afterwards, then to the mutual relation between each variable of decision-making level according to 1-9 scale value values, so as to construct the judgement of decision-making level
Matrix.
After the Consistency Check in Judgement Matrix of decision-making level is qualified, you can as stated above, rule layer is solved respectively
The distribution weights α of six variables on the basis of destination layer1、α2、α3、α4、α5、α6, and decision-making level always arranges on the basis of rule layer
Sequence weights β1、β2、β3。
3rd, reinforcing steel corrosion rate ρ, surface degree of exfoliation μ, the diffusion coefficient D of chloride ion are calculated by step (5)a, carbonation depth x,
Antioxygen rate ξ, crack mean breadth ωm。
1), for steel bar corrosion influence factor, weighed using reinforcing steel corrosion rate ρ, in concrete cover spalling state
Under, the corrosion ratio equation of reinforcing bar is:
In formula, c represents concrete thickness, and q represents rebar corrosion power, and R represents reinforcing bar radius, EcRepresent the elasticity of concrete
Modulus, υcRepresent the Poisson's ratio of concrete.
By above-mentioned expression formula, according to known relevant parameter, and then reinforcing steel corrosion rate ρ is solved, for qualitatively judging coagulation
Soil receives steel bar corrosion function influence degree.
2), for concrete surface comes off influence factor, weighed using surface degree of exfoliation μ, concrete surface comes off shadow
The factor of sound is mainly relevant with the waterproof protective situation of concrete surface, and surface degree of exfoliation μ can come off according to actual concrete surface
The ratio of area and initial area is worth to.
3), for the research of concrete density, using the diffusion coefficient D of chloride ionaTo weigh.Test and research show
Chloride diffusion coefficient is an important indicator for reflecting concrete durability.By field measurement, diffusion coefficient DaNot only with
Coagulation local soil type is relevant with feature, degree of hydration into, the quantity of internal pore structure, but also with water-binder ratio, Binder Materials
The many factors such as kind and volume and environmental condition are relevant, and increased by environment chloride ion action time or the time limit with concrete
Grow and reduce, index of coincidence attenuation law.The diffusion coefficient D of chloride ionaExpressing equation is:
In formula, DiIt is after environmental activity time tiThe diffusion coefficient for measuring afterwards.Index n and Binder Materials species, volume and
Varying environment condition is relevant.For environmental activity is for up to more than ten years or the low water binder ratio portland cement coagulation of decades
Soil, DaAbout 10-12m2The magnitude of/s, if the high content mineral admixtures concrete of identical water-cement ratio and the same time limit, Da
Value then can order of magnitude lower.
Analyzed from above formula, when other conditions are constant, the chlorine ion concentration of concrete surface is bigger, is diffused into reinforcing bar
The chlorine ion concentration on surface is also bigger, and the easier generation corrosion of reinforcing bar, its actual density effect is also more severe.
4), for agent on crack resistance of concrete carbonization is laid in, plan is represented using carbonation depth x.With reference to carbonization test result and reality
The carbonization survey result of border engineering, derives carbonation depth model:
In formula,For the ratio of mud of concrete, γ1、γ2、γ3Respectively cement type affects coefficient, flyash to affect
Coefficient and meteorological condition affect coefficient.
By above-mentioned expression formula, according to known relevant parameter, and then concrete carbonization depth x is solved, for qualitatively judging
Influence degree of the concrete by agent on crack resistance of concrete carbonization deposit.
5), for agent on crack resistance of concrete oxidation is laid in, plan represents that antioxygen rate ξ can adopt following relation using antioxygen rate ξ
Formula is solved:
In formula, fc,oRepresent the comprcssive strength that concrete test block is measured after placing 28 days under pure oxygen environment, fc,vRepresent mixed
The comprcssive strength that the test block of solidifying soil is measured after placing 28 days under vacuum conditions.
By above-mentioned expression formula, according to known relevant parameter, and then agent on crack resistance of concrete oxygenation efficiency ξ is solved, for qualitatively judging
Concrete is aoxidized the influence degree of deposit by agent on crack resistance of concrete.
6), for distress in concrete degree, using crack mean breadth ωmTo represent.Crack mean breadth ωmCalculating
Formula is:
In formula, σsThe stress for being reinforcing bar at crack, EsFor the elastic modelling quantity of reinforcing bar,Nonuniformity coefficient is strained for reinforcing bar,
lmFor the length of reinforcing bar.
By above-mentioned expression formula, according to known relevant parameter, and then distress in concrete mean breadth ω is solvedm, for fixed
Property judge concrete by fracture width influence degree.
4th, the score of destination layer is calculated by step (6), so as to weigh out the health status of concrete.
Using the relation of membership function, obtain passing judgment on the concordance weight fraction of harbour concrete health status:
η=α1ρ+α2μ+α3Da+α4x+α5ξ+α6ωm
In formula, ρ is reinforcing steel corrosion rate, μ is surface expulsion rate, DaBe carbonation depth, ξ for chloride diffusion coefficient, x it is anti-
Oxygenation efficiency, ωmFor crack mean breadth, α1、α2、α3、α4、α5、α6Distribute on the basis of destination layer for six variables of rule layer
Weight coefficient, η is harbour armored concrete health status gross score.
Final score η is bigger, shows that the fraction of destination layer is higher, i.e. the health indicator of harbour concrete component is higher, work
Make situation better.
Claims (7)
1. the method for assessing harbour concrete component health indicator based on analytic hierarchy process (AHP), is characterized in that:Comprise the following steps:
(1) destination layer is determined:Harbour reinforced concrete member health indicator is chosen as destination layer;
(2) rule layer is determined:Choose extent of steel corrosion, concrete surface and peel off degree, concrete density, concrete antioxygen
Deposit, agent on crack resistance of concrete carbon deposit, the aspect of distress in concrete degree six are used as rule layer;
(3) decision-making level is determined:Choose the aspect of stability three of reinforcing bar and concrete state, component remaining life and component
As decision-making level;
(4) judgment matrix is gone out according to three aspect composition of content designed in step (3), afterwards using corresponding equation and calculating
Formula, tries to achieve the weight coefficient α that six variables of rule layer distribute on the basis of destination layer1、α2、α3、α4、α5、α6;
(5) according to known parameter and corresponding computing formula, obtain respectively reinforcing steel corrosion rate ρ, surface degree of exfoliation μ, chlorine from
The diffusion coefficient D of sona, carbonation depth x, antioxygen rate ξ, crack mean breadth ωm;
(6) according to concordance weight distribution equation η=α1ρ+α2μ+α3Da+α4x+α5ξ+α6ωm, solve finally for destination layer
Score, so as to weigh out the health status of concrete.
2. the method for assessment harbour concrete component health indicator according to claim 1, is characterized in that:The step
(5) in, the accounting equation of reinforcing steel corrosion rate ρ is:
In formula, c represents concrete thickness, and q represents rebar corrosion power, and R represents reinforcing bar radius, EcThe elastic modelling quantity of concrete is represented,
υcRepresent the Poisson's ratio of concrete.
3. the method for assessment harbour concrete component health indicator according to claim 1, is characterized in that:The step
(5) in, surface degree of exfoliation μ is worth to according to the come off ratio of area and initial area of actual concrete surface.
4. the method for assessment harbour concrete component health indicator according to claim 1, is characterized in that:The step
(5) in, the diffusion coefficient D of chloride ionaExpressing equation is:
In formula, DiIt is after environmental activity time tiThe diffusion coefficient for measuring afterwards;Index n and Binder Materials species, volume and different
Environmental condition is relevant.
5. the method for assessment harbour concrete component health indicator according to claim 1, is characterized in that:The step
(5) in, carbonation depth x is solved using following relational expression:
In formula,For the ratio of mud of concrete, γ1、γ2、γ3Respectively cement type affect coefficient, flyash affect coefficient and
Meteorological condition affects coefficient.
6. the method for assessment harbour concrete component health indicator according to claim 1, is characterized in that:The step
(5) in, antioxygen rate ξ is solved using following relational expression:
In formula, fc,oRepresent the comprcssive strength that concrete test block is measured after placing 28 days under pure oxygen environment, fc,vRepresent concrete
The comprcssive strength that test block is measured after placing 28 days under vacuum conditions.
7. the method for assessment harbour concrete component health indicator according to claim 1, is characterized in that:The step
(5) in, crack mean breadth ωmComputing formula be:
In formula, σsThe stress for being reinforcing bar at crack, EsFor the elastic modelling quantity of reinforcing bar,Nonuniformity coefficient, l are strained for reinforcing barmFor
The length of reinforcing bar.
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