CN109117516B - Modularized design method of paste filling system - Google Patents

Modularized design method of paste filling system Download PDF

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CN109117516B
CN109117516B CN201810800548.2A CN201810800548A CN109117516B CN 109117516 B CN109117516 B CN 109117516B CN 201810800548 A CN201810800548 A CN 201810800548A CN 109117516 B CN109117516 B CN 109117516B
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evaluation
scheme
criterion
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filling system
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CN109117516A (en
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王桂梅
逯圣辉
杨立洁
张永硕
刘杰辉
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Hebei University of Engineering
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Hebei University of Engineering
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Abstract

The invention is applied to a modularized design process of a coal mine paste filling system, in particular to a modularized method comprising module division and division scheme evaluation. The module dividing part mainly comprises quantization of evaluation information, conversion of an evaluation value into a coarse interval, dimension reduction processing of the evaluation interval, solution of a dynamic cluster map, determination of an initial dividing scheme and the like; the partitioning scheme evaluation part mainly comprises the steps of establishing partitioning scheme evaluation two-stage indexes and membership functions thereof, solving weight vectors by using a hierarchical analysis method, solving a fuzzy comprehensive evaluation matrix layer by layer, and finally obtaining an evaluation vector of the scheme. The invention introduces the thought of modular product design into the design process of the filling system, and can effectively solve the problems of repeated design, investment and the like of products.

Description

Modularized design method of paste filling system
Technical Field
The invention belongs to the technical field of paste filling in coal mines, and particularly relates to a modularized design method of a paste filling system.
Background
The modularized design is a design method which divides and designs a series of functional modules on the basis of carrying out functional analysis on products with different functions or different performances and different specifications within a certain range, and different products can be formed through the selection and combination of the modules so as to meet different requirements of the market. The module is used as an independent unit, and the concept of the module appears in the early software field, and the module refers to an independent program segment which can perform specific functions and is independent but related to other programs. With the continuous and deep research, the modern modularization theory has been applied to many aspects, especially in the engineering field, and the modularization design idea brings new developments for serialization, scale and universality of products.
The coal mine filling mining method is a mining technology for continuously filling coal gangue, construction waste and the like into a goaf during coal mining, and the main process technology comprises solid material filling, paste material filling, high-water material filling and other methods, wherein the paste filling mining technology is most widely applied. The coal mine paste filling mining method is widely applied and developed as an important means for improving the extraction efficiency of the coal mine and effectively controlling the ground subsidence and treating the mine solid waste.
At present, the filling system is designed into an integral fixed type, and the problems that initial investment is high, and most equipment cannot be recovered, transferred and reused after mining is completed exist. The invention introduces the thought of modular product design into the design process of the filling system, and can effectively solve the problems of repeated design, investment and the like of large-scale products.
Disclosure of Invention
The modularized design method of the paste filling system provided by the invention has guiding significance on the design of the modularized filling system. The modularized filling system can be quickly disassembled after filling, and transported to the next site for reconstruction, so that the purposes of recycling and investment reduction are achieved.
The modularized design method of the paste filling system provided by the invention is mainly divided into two parts, namely module division and division scheme evaluation. The module partitioning produces a plurality of initial partitioning schemes, and partitioning scheme evaluation enables selection of an optimal scheme among a plurality of partitioning schemes as a final result.
The module dividing part mainly comprises the following six steps: firstly, analyzing a filling system to obtain key parts of the system, numbering the key parts, and grading every two parts according to a disassembly criterion, a functional structure correlation criterion, a reconfigurability criterion and a transportability criterion; secondly, calculating a rough interval of each evaluation value according to a rough set theory; thirdly, determining the weight of each criterion by using an analytic hierarchy process; fourth, carrying out arithmetic average on the rough intervals under each criterion to obtain average rough intervals, and then merging the average rough intervals based on four criteria by using a hierarchical analysis method to obtain a comprehensive evaluation interval matrix; fifthly, dividing the comprehensive evaluation interval matrix into a coarse lower limit matrix and a coarse upper limit matrix, respectively solving the equivalent matrices, and respectively solving the dynamic cluster map by using matlab software; and sixthly, obtaining clustering results of a coarse upper limit and a coarse lower limit according to a principle of moderate granularity and combining a dynamic clustering graph, and selecting a condition that the number of modules in the two results is consistent as an initial partitioning scheme.
The evaluation of the division scheme mainly comprises the following four steps: firstly, establishing a dividing scheme evaluation two-stage index on the basis of fuzzy comprehensive evaluation; secondly, establishing a membership function of a second-level index; thirdly, solving a weight vector by using an analytic hierarchy process; and fourthly, solving a fuzzy comprehensive evaluation matrix layer by layer to finally obtain an evaluation vector of the scheme, wherein the scheme corresponding to the maximum value is the optimal scheme.
The beneficial effects are that: the invention introduces the thought of modular product design into the design process of the filling system, and can effectively solve the problems of repeated design, investment and the like of products.
Drawings
FIG. 1 is a diagram of a transition reconstruction modular design hierarchy model
FIG. 2 is a flow chart of the analytic hierarchy process
FIG. 3 filling system module division scheme evaluation index system
Detailed Description
The following describes the invention in more detail with reference to the summary of the invention and the attached drawings.
(1) Module dividing step
The first step: and analyzing the filling system to obtain key parts of the system and numbering the key parts. And then scoring every two parts according to a disassembly criterion, a functional structure correlation criterion, a reconfigurability criterion and a transportability criterion to obtain a correlation evaluation table.
And a second step of: each scored coarse interval is calculated according to equation (1).
Wherein:
wherein: k is a design criterion sequence number; l is the evaluation group number;
in order to determine the result of the evaluation criterion k between the components i and j in the paste filling station, evaluation group sequence (E) =1, 2,3. C) a.e.).
And a third step of: determining weights ω for criteria based on Analytic Hierarchy Process (AHP) k . Firstly, a transition reconstruction modularized design hierarchical structure model is constructed, as shown in fig. 1, a target layer 0 of the model is a transition reconstruction modularized design of a paste filling station, a criterion layer C is three of design C1, manufacture C2 and assembly C3, and a scheme layer is four criteria of the transition reconstruction modularized design. And then comparing the elements in each layer by pairs by using a fixed comparison scale shown in the table 1 so as to construct a hierarchical structure matrix, and finally obtaining the relative weight of each element of the scheme layer relative to the highest target through layer ordering and consistency test, wherein the basic flow is shown in the figure 2.
Table 1 analytic hierarchy process comparative scale
Defining a consistency index according to an AHP basic theory: ci= (λ -n)/(n-1), where λ is the maximum eigenvalue of the hierarchical comparison matrix and n is the matrix order.
The random uniformity index RI is determined according to table 2:
table 2 random consistency index value table
And when the consistency ratio cr=ci/RI < 0.1, then the matrix is considered to pass the consistency check, otherwise the hierarchical comparison matrix needs to be reconstructed.
The criterion layer comparison matrix is 0, and the characteristic vector is omega o The method comprises the steps of carrying out a first treatment on the surface of the Design, fabrication, and assembly ratios in solution layersThe comparative matrix is C1, C2 and C3 respectively, and the characteristic vector is omega C1 、ω C2 、ω C3 Let the final weight of the scheme layer be ω C =(ω C1 ,ω C2 ,ω C3 ) The method comprises the steps of carrying out a first treatment on the surface of the Then weight omega k =ω C ×ω o
Fourth step: weighting omega of four criteria of modular design evaluation system of coal mine paste filling station based on transition reconstruction according to (2) - (3) and obtained by AHP k And calculating an average coarse interval and a comprehensive evaluation value. And finally obtaining the comprehensive evaluation coarse interval matrix.
Wherein: sigma omega for each evaluation criterion weight k =1。
Fifth step: dividing the comprehensive evaluation coarse interval into an interval lower limit matrix T Lower part(s) Interval upper limit matrix T Upper part Solving the transitive closure T (T) according to the quadratic method of formula (4) by using MATLAB Lower part(s) ) T (T) Upper part )。
T→T 2 →T 4 →...→T 2i (4)
When first occurringWhen T is k Having transmissibility, in this case, T (T) =t k Is a transitive closure that obscures the similarity matrix T.
Lambda truncated matrix: let the fuzzy matrix a= (a) ij )∈μ m×n For any lambda E [0,1 ]]Is called asIs the lambda cut matrix of the fuzzy matrix a. Wherein:
from the lambda cut matrix defined above, each value in the transitive closure is taken out by lambda, thereby deriving the transitive closure T (T Lower part(s) ) T (T) Upper part ) All truncated matrices of (a)And obtaining a dynamic cluster map.
Sixth step: and analyzing the dynamic clustering result according to the principle that the module division granularity is moderate, finding out the module number when the division results of the coarse upper limit and the coarse lower limit are the same, and further obtaining an initial module division scheme.
(2) Division scheme evaluation step
The first step: fig. 3 is a schematic diagram of a filling system module division scheme evaluation index system, wherein the detachability comprises the detachability of the module and the cost of detaching the module, the manufacturability comprises the functional continuity of the module and the structural correlation in the module, and the modularity comprises the polymerizability in the module and the coupling between the modules, thereby forming the filling system module division scheme evaluation index system.
And a second step of: and establishing a second-level index membership function.
(1) The reachability membership function U11 is calculated from equation (5):
wherein: u (U) ki For each module's reachability value, i=1, 2, k, n;
(2) the disassembly cost Uc is calculated from equation (6):
wherein: u (U) c For disassembly cost; u (U) ci Cost for disassembling the ith module; m is the constraint number of the ith module; u (U) cij Cost of completing the j-th process for removing the i-th module.
The transportation and installation cost budget of each scheme module is completed by adopting the widely-connected (Hebei) budget pricing software, and the transportation and installation cost U of the module is obtained yz
The total cost of the scheme is as follows: : u's' 12 =U c +U yz The product is standardized to obtain U 12 And taking the final cost index to evaluate membership functions as follows: u (U) 12 =1-U″ 12
(3) The functional index evaluation membership function of the scheme is as follows:m is the number of functional modules, and n is the total number of modules.
(4) The design comprises n modules, wherein the number of parts contained in the modules is i, the number of parts in the minimum module is g, the number of parts in the maximum module is h, the parts are classified according to the number of parts contained in the modules, and the number taking interval is [ a, b ]]:Defining membership functions U for each module Ji The method comprises the following steps:
(5) the average aggregate of the solution is the average value of aggregate of all modules in the solution, and represents the ratio of the actual association of the components in all modules in the solution to the sum of possible association relations:
wherein: m is m i The number of parts in the module; t (k, j) is the inertia intensity value of two parts, for U' 31 And (5) carrying out data standardization processing to finally obtain the scheme polymerizability.
(6) The coupling of a scheme represents the ratio of the actual association between modules to the possible association in the same scheme:
wherein: m is m i The number of parts in the ith module; m is m j The number of parts in the j-th module; t (h, k) is the correlation strength value of the two parts, and the final scheme coupling is as follows: u (U) 32 =1-U′ 32
And a third step of: and establishing a hierarchical comparison matrix layer by layer according to a hierarchical analysis method and carrying out consistency test. Obtaining the characteristic vector omega of the first-level index comparison matrix o The eigenvector of the secondary index comparison matrix is omega i1 、ω i2 (i=1,2,3)。
Fourth step: assuming that L division schemes are provided, membership of each division scheme of the paste filling system under each secondary index: w (W) Li =(U i1 U i2 ) T (i=1, 2, 3), the first-level index membership of each scheme and the first-level evaluation matrix of all schemes are respectively:
the final evaluation vectors for all protocols were:the scheme corresponding to the maximum value in V is the optimal module division scheme of the paste filling station.

Claims (4)

1. A modular design method of a paste filling system is characterized in that the method is divided into two parts, namely module division and division scheme evaluation; the module division generates a plurality of initial division schemes, and the division scheme evaluation can select an optimal scheme from a plurality of division schemes as a final result;
the module dividing part mainly comprises the following six steps: firstly, analyzing a filling system to obtain key parts of the system, numbering the key parts, and evaluating every two parts according to a disassembly criterion, a functional structure correlation criterion, a reconfigurability criterion and a transportability criterion; secondly, calculating a rough interval of each evaluation value according to a rough set theory; thirdly, determining the weight of each criterion by using an analytic hierarchy process; fourth, carrying out arithmetic average on the rough intervals under each criterion to obtain average rough intervals, and then merging the average rough intervals based on four criteria by using a hierarchical analysis method to obtain a comprehensive evaluation interval matrix; fifthly, dividing the comprehensive evaluation interval matrix into a coarse lower limit matrix and a coarse upper limit matrix, respectively solving the equivalent matrices, and respectively solving the dynamic cluster map by using matlab software; sixthly, obtaining clustering results of a coarse upper limit and a coarse lower limit according to a principle of moderate granularity and combining a dynamic clustering graph, and selecting a condition that the quantity of modules in the two results is consistent as an initial partitioning scheme;
the evaluation of the division scheme mainly comprises the following four steps: firstly, establishing a dividing scheme evaluation two-stage index on the basis of fuzzy comprehensive evaluation; secondly, establishing a membership function of a second-level index; thirdly, solving the weight vector by using a analytic hierarchy process, establishing a hierarchical comparison matrix layer by layer according to the analytic hierarchy process, and carrying out consistency test to obtain the characteristic vector omega of the first-level index comparison matrix o The eigenvector of the secondary index comparison matrix is omega i1 、ω i2 ,i=1,2,3;
And fourthly, solving a fuzzy comprehensive evaluation matrix layer by layer to finally obtain an evaluation vector of the scheme, wherein the scheme corresponding to the maximum value is the optimal scheme.
2. The modular design method of paste filling system according to claim 1, wherein the roughness interval of each evaluation value is calculated according to formula (1),
wherein:
wherein: k is a design criterion sequence number; l is the evaluation group number;
for the determination of the evaluation criterion k between the components i and j in the paste filling station, the evaluation group sequence e=1, 2,3.
3. A modular design method for paste filling system according to claim 2, wherein the weights ω of the respective criteria are determined based on a hierarchical analysis method k
4. A modular design method of paste filling system according to claim 3, wherein the weights ω of four criteria of modular design evaluation system of coal mine paste filling station based on transition reconstruction are calculated according to formulas (2) to (3) and by analytic hierarchy process k Calculating an average coarse interval and a comprehensive evaluation value, finally obtaining a comprehensive evaluation coarse interval matrix,
wherein: omega k Sigma omega for each evaluation criterion weight k =1。
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CN102117369A (en) * 2011-03-17 2011-07-06 清华大学 Method and system for combined optimization of pipe diameter and pipe material of water supply network
CN105205552A (en) * 2015-09-11 2015-12-30 东南大学 Optimal planning method for independent new energy hybrid power generation system

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JP4629594B2 (en) * 2006-02-20 2011-02-09 株式会社日立製作所 Module evaluation method and apparatus

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CN102117369A (en) * 2011-03-17 2011-07-06 清华大学 Method and system for combined optimization of pipe diameter and pipe material of water supply network
CN105205552A (en) * 2015-09-11 2015-12-30 东南大学 Optimal planning method for independent new energy hybrid power generation system

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