CN107133727A - Dimensionality optimization method is assessed based on the failure effect for differentiating force coefficient - Google Patents

Dimensionality optimization method is assessed based on the failure effect for differentiating force coefficient Download PDF

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CN107133727A
CN107133727A CN201710267849.9A CN201710267849A CN107133727A CN 107133727 A CN107133727 A CN 107133727A CN 201710267849 A CN201710267849 A CN 201710267849A CN 107133727 A CN107133727 A CN 107133727A
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dimension
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聂文滨
刘卫东
揭丽琳
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Nanchang Hangkong University
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Abstract

The invention discloses a kind of based on the failure effect assessment Dimensionality optimization method for differentiating force coefficient, aspect according to involved by influenceing process failure and the corresponding relation between the type of business accountability, according to Boundary of Property Rights is theoretical, Perceived Risk is theoretical and manufactures maturity theory, the manufacturing process failure severity assessment dimension system with systemic theoretical foundation and completeness is built.Then, the taste coefficient formulas available for fuzzy risk evaluating is created.Finally, minimized with dimension number and system information content maximum turns to target, using requirement of the PCA to system completeness as constraints, establish the multiple target mathematic optimal model that data are assessed based on each dimension weight and each dimension, dimension is chosen and optimized, the equalization point for seeking most preferably between the completeness and terseness of dimension system.

Description

Dimensionality optimization method is assessed based on the failure effect for differentiating force coefficient
Technical field
The present invention relates to technological evaluation optimisation technique, concretely relate to assess based on the failure effect for differentiating force coefficient Dimensionality optimization method.
Background technology
PFMEA (Process Failure Mode and Effects Analysis, process failure pattern and influence point Analysis) it is a kind of it is main used by manufacture and Assembly Engineers, it has systematization and perspective technical Analysis method, causes Power is likely to occur potential PFM (Process Failure Mode, process failure pattern) in being identified in the product manufacturing stage, Assess the influence degree caused by failure mode.And according to the risk class order of each pattern, rational allocation limited resources are taken Corresponding process modification and precautionary measures, to avoid and reduce failure risk, minimize business accountability and fault, avoid as far as possible Reparation is lost with reducing.PFMEA originates from U.S. spaceflight Aerobiz, and is gradually opened up to industries such as machinery, automobile, Medical Devices Exhibition so that the reliability of these industry products is greatly improved.
In actual PFMEA projects, generally from severity, occurrence frequency, detection difficulty in terms of these three to multiple works Skill failure mode carries out risk assessment, to determine the order of priority of risk.Wherein, the assessment of severity is mostly important.Work as technique When the severity of failure mode is cited as 9,10 grade, then it need not pay close attention to and situation is assessed of both other, directly by the pattern It is classified as critical process failure pattern.However, the assessment of severity needs the dimension considered a lot.Geng Xiuli[1]From safety Property, reliability, economy this three aspect go assess severity;Braglia M[2]From safety, quality, maintenance cost, average repairing This four aspects of time go to assess;Wang Shaoyin[3]Then from product function realization, Product Usability, the personal safety of user, repair Scrapping after the expense that fails again, the operation ease of user, the difficulty for repairing failure, ambient influnence, public safety, failure This nine aspects of cost go to assess;The studies above personnel are being established when severity assesses dimension system with certain incompleteness And repeatability, dimension, which is chosen, lacks the scientific theory foundation of systematization.In addition, dimension is excessive, although ensure that the complete of system, But the workload of assessment experts can be caused to increase, PFMEA execution efficiencys decline;Dimension is very few, although expert can be made to concentrate one's energy It is estimated in limited dimension, the problem of but triggering inconsiderate, final result is occurred deviation.Therefore, how section Ground builds severity and assesses dimension system, how to be found most between the terseness of the completeness of dimension and assessment dimension is assessed Good equalization point, is current urgent problem to be solved, is also the follow-up basis for carrying out severity evaluation studies.
The content of the invention
To solve above-mentioned problem, Dimensionality optimization method is assessed it is an object of the invention to provide a kind of failure effect, is built Manufacturing process failure severity with systemic theoretical foundation and completeness assesses dimension system, creates and can be used for fuzzy risk The taste coefficient formulas of assessment, is minimized with dimension number and system information content maximum turns to target, with principal component Requirement of the analytic approach to system completeness is constraints, sets up the multiple target that data are assessed based on each dimension weight and each dimension Mathematic optimal model, chooses to dimension and optimizes, the balance for seeking most preferably between the completeness and terseness of dimension system Point.
The present invention realizes above-mentioned purpose using following technical scheme.Dimension is assessed based on the failure effect for differentiating force coefficient Optimization method, it is characterised in that its step is as follows:
1) corresponding relation between aspect and the type of business accountability according to involved by influenceing process failure, according to property right Bounding theory, Perceived Risk are theoretical and manufacture maturity theory, build the manufacture work with systemic theoretical foundation and completeness Skill failure severity assesses dimension system;
2) each information content for differentiating force coefficient and dimension system for assessing dimension is calculated;
1 is defined, if expert is assessed under dimension at m-th, to PFM1,…,PFMi,…,PFMNCommon N number of process failure mould Formula carries out severity assessment, obtains Am1,…,Ami,…,AmNN number of assessment data, then N number of to assess the distance between data number altogether ForThe discriminating force coefficient of m-th of assessment dimension may be defined as the average value of normalized cumulant, specific as follows:
In formula:νmIt is the discriminating force coefficient of m-th of assessment dimension;HE(Ami,Amj) it is assessment number under m-th of assessment dimension According to AmiWith AmjBetween broad sense Hausdorff distance;
2 are defined, the information content of dimension system characterizes discrimination of the system to each process failure pattern severity, Show the difference degree of each process failure pattern severity, the calculation formula of the information content of dimension system is as follows:
3) each weight for assessing dimension is calculated using analytic hierarchy process (AHP);
4) the complete rate of counting system, specific as follows:
In formula:wmIt is the weight of m-th of assessment dimension;M is the dimension total number for assessing dimension system;
5) minimized with dimension number and system information content maximum turns to target, it is complete to system with PCA Property requirement be constraints, set up the multiple target mathematic optimal model that data are assessed based on each dimension weight and each dimension, tool Body is as follows:
In formula:vmIt is the discriminating force coefficient of m-th of assessment dimension, can be calculated and obtained by assessment data;wmIt is by level point The weight for m-th of assessment dimension that analysis method is determined;M is the dimension total number of primary election system;dmIt is 0-1 variables, when value is 0, Represent to delete m-th of assessment dimension, when value is 1, represent to retain m-th of assessment dimension.
First, influenceed according to process failure between involved aspect and the type of business accountability corresponding closes the present invention System, according to Boundary of Property Rights is theoretical, Perceived Risk is theoretical and manufactures maturity theory, constructing has systemic theoretical foundation and complete The manufacturing process failure severity of standby property assesses dimension system.Then, the taste system available for fuzzy risk evaluating is created Number calculation formula.Finally, minimized with dimension number and system information content maximum turns to target, with PCA to body The requirement for being completeness is constraints, establishes the multiple target mathematical optimization that data are assessed based on each dimension weight and each dimension Model, chooses to dimension and optimizes, the equalization point for seeking most preferably between the completeness and terseness of dimension system.
Existing problems are chosen instant invention overcomes Traditional measurements dimension, with advantages below:
1) the assessment dimension system construction based on business accountability type, not only theoretically ensure that and assesses dimension system Completeness, and PFMEA current demand and significance are highlighted, help to lift the responsibility consciousness of appraiser.
2) brand-new taste coefficient formulas is constructed.The discriminating force coefficient proposed can not only be applied to traditional Real-valued assesses data, also can be suitably used for assessing data in the widely used fuzzy type of assessment and decision domain.
3) to realize that dimension number is minimized and system information content is maximized, the mathematical optimization mould of multiple target is constructed Type.The Optimized model synthetically considers that each dimension weighted data assesses data with each dimension, using mathematic optimal model in dimension The screening strategy for seeking most preferably between the completeness and terseness of system.
Dimension chooses the theoretical foundation with systematization, so that the completeness of dimension system is ensure that, meanwhile, for fuzzy Risk assessment, creatively constructs brand-new taste coefficient formulas, to calculate the information content of dimension system.
Brief description of the drawings
Fig. 1 is the structure principle of manufacturing process failure severity assessment dimension system in the present invention.
Embodiment
Below in conjunction with drawings and examples, the invention will be further described.Referring to Fig. 1, based on the failure for differentiating force coefficient Impact evaluation Dimensionality optimization method, implementation step is:
(1) corresponding relation between aspect and the type of business accountability according to involved by influenceing process failure, according to production Bounding theory, Perceived Risk theory and manufacture maturity theory are weighed, the system with systemic theoretical foundation and completeness is constructed Make process failure severity and assess dimension system, be specifically shown in Fig. 1, table 1, table 2 and table 3;
Table 1 assesses dimension X towards the severity of end user1
The severity of table 2 towards product manufacturing management activity assesses dimension X2
The severity of the Government decree regulation of table 3 assesses dimension X3
Assess dimension Definition
The safe X of end user3,1 Purchased product is to the actual bodily harm degree caused by user or neighbour
The safe X of manufacturer3,2 Process failure causes the extent of injury to manufacturer
Environment X3,3 Process failure causes the extent of injury to environment
According to repeated dimension combination principle, using artificial scalping mode, 18 dimensions are down to 15 dimensions.Above-mentioned dimension Degree system is applied to all manufacturing process.It can be minimized with dimension number according to some typical technique cases and information contain Amount maximum turns to target, and the requirement of system completeness is implemented into one for constraints to this 15 dimensions with PCA The sieve of step subtracts.
(2) each discriminating force coefficient for assessing dimension is calculated.Now using aircraft combined heat radiator and turbine mounting process as Example, the further sieve for carrying out data analysis and dimension subtracts, and last optimum results can be applied to other other similar technique shadows Ring in analysis.The process failure pattern that aircraft combined heat radiator and turbine flow of installation are included is shown in Table 4, Zhuan Jiaping The form of filling in for estimating opinion is shown in Table 5, and expert assesses data and is shown in Table 6 and table 7.
The aircraft of table 4 combines the process failure pattern of air radiator and turbine flow of installation
The general of the expert's comments of table 5 fills in form
The expert's comments and discriminating force coefficient (assessing dimension D1~D8) of each dimension of table 6
The expert's comments and discriminating force coefficient (assessing dimension D9~D15) of each dimension of table 7
(3) application level analytic approach calculates each dimension weight, concrete outcome such as table 8;
Table 8 respectively assesses the weight of dimension
(4) minimized with dimension number and system information content maximum turns to target, it is complete to system with PCA The requirement of standby property is constraints, establishes the multiple target mathematical optimization mould that data are assessed based on each dimension weight and each dimension The complete rate and information content of system after type, and calculation optimization, concrete outcome are as shown in table 9:
The optimum results of the dimension system of table 9
Bibliography:
[1] fault modes and effect analysis methods of risk assessment [J] meters of the peaceful of Geng Xiuli, Chu Xue based on the failure chain of causation Calculation machine integrated manufacturing system, 2009,15 (12):2473-2480.
[2]Braglia M,Fantoni G,Frosolini M.The house of reliability[J] .International Journal of Quality&Reliability Management,2007,24(4):420-440.
[3] Wang Shao prints publishing house of failure mode and effect analysis (FMEA)s (FMEA) [M] Zhongshan University, 2003.

Claims (1)

1. Dimensionality optimization method is assessed based on the failure effect for differentiating force coefficient, it is characterised in that its step is as follows:
1) corresponding relation between aspect and the type of business accountability according to involved by influenceing process failure, according to Boundary of Property Rights Theoretical, Perceived Risk is theoretical and manufactures maturity theory, builds the manufacturing process with systemic theoretical foundation and completeness and loses Imitate severity and assess dimension system;
2) each information content for differentiating force coefficient and dimension system for assessing dimension is calculated;
1 is defined, if expert is assessed under dimension at m-th, to PFM1,…,PFMi,…,PFMNN number of process failure pattern is entered altogether Row severity is assessed, and obtains Am1,…,Ami,…,AmNN number of assessment data are total to, then the distance between N number of assessment data number isThe discriminating force coefficient of m-th of assessment dimension may be defined as the average value of normalized cumulant, specific as follows:
<mrow> <msub> <mi>v</mi> <mi>m</mi> </msub> <mo>=</mo> <mfrac> <mn>2</mn> <mrow> <mi>N</mi> <mrow> <mo>(</mo> <mi>N</mi> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow> </mfrac> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>N</mi> </munderover> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>j</mi> <mo>=</mo> <mi>i</mi> <mo>+</mo> <mn>1</mn> </mrow> <mi>N</mi> </munderover> <mfrac> <mrow> <msub> <mi>H</mi> <mi>E</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>A</mi> <mrow> <mi>m</mi> <mi>i</mi> </mrow> </msub> <mo>,</mo> <msub> <mi>A</mi> <mrow> <mi>m</mi> <mi>j</mi> </mrow> </msub> <mo>)</mo> </mrow> <mo>-</mo> <mi>m</mi> <mi>i</mi> <mi>n</mi> <mo>{</mo> <msub> <mi>H</mi> <mi>E</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>A</mi> <mrow> <mi>m</mi> <mi>i</mi> </mrow> </msub> <mo>,</mo> <msub> <mi>A</mi> <mrow> <mi>m</mi> <mi>j</mi> </mrow> </msub> <mo>)</mo> </mrow> <mo>}</mo> </mrow> <mrow> <mi>max</mi> <mo>{</mo> <msub> <mi>H</mi> <mi>E</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>A</mi> <mrow> <mi>m</mi> <mi>i</mi> </mrow> </msub> <mo>,</mo> <msub> <mi>A</mi> <mrow> <mi>m</mi> <mi>j</mi> </mrow> </msub> <mo>)</mo> </mrow> <mo>}</mo> <mo>-</mo> <mi>m</mi> <mi>i</mi> <mi>n</mi> <mo>{</mo> <msub> <mi>H</mi> <mi>E</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>A</mi> <mrow> <mi>m</mi> <mi>i</mi> </mrow> </msub> <mo>,</mo> <msub> <mi>A</mi> <mrow> <mi>m</mi> <mi>j</mi> </mrow> </msub> <mo>)</mo> </mrow> <mo>}</mo> </mrow> </mfrac> <mo>;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow>
In formula:νmIt is the discriminating force coefficient of m-th of assessment dimension;HE(Ami,Amj) it is assessment data A under m-th of assessment dimensionmi With AmjBetween broad sense Hausdorff distance;
2 are defined, the information content of dimension system characterizes discrimination of the system to each process failure pattern severity, shows The difference degree of each process failure pattern severity, the calculation formula of the information content of dimension system is as follows:
<mrow> <mi>I</mi> <mi>n</mi> <mi>f</mi> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>m</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>Q</mi> </munderover> <msub> <mi>v</mi> <mi>m</mi> </msub> <mo>;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>2</mn> <mo>)</mo> </mrow> </mrow>
3) each weight for assessing dimension is calculated using analytic hierarchy process (AHP);
4) the complete rate of counting system, specific as follows:
<mrow> <mi>p</mi> <mi>e</mi> <mi>r</mi> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>m</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>M</mi> </munderover> <msub> <mi>w</mi> <mi>m</mi> </msub> <mo>;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </mrow>
In formula:wmIt is the weight of m-th of assessment dimension;M is the dimension total number for assessing dimension system;
5) minimized with dimension number and system information content maximum turns to target, with PCA to system completeness It is required that being constraints, the multiple target mathematic optimal model that data are assessed based on each dimension weight and each dimension is set up, specifically such as Under:
<mrow> <mtable> <mtr> <mtd> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mi>min</mi> </mtd> <mtd> <mrow> <msub> <mi>y</mi> <mn>1</mn> </msub> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>m</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>M</mi> </munderover> <msub> <mi>d</mi> <mi>m</mi> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mi>max</mi> </mtd> <mtd> <mrow> <msub> <mi>y</mi> <mn>2</mn> </msub> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>m</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>M</mi> </munderover> <msub> <mi>d</mi> <mi>m</mi> </msub> <mo>&amp;CenterDot;</mo> <msub> <mi>v</mi> <mi>m</mi> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced> </mtd> </mtr> <mtr> <mtd> <mtable> <mtr> <mtd> <mrow> <mi>s</mi> <mo>.</mo> <mi>t</mi> <mo>.</mo> </mrow> </mtd> <mtd> <mrow> <msub> <mi>d</mi> <mi>m</mi> </msub> <mo>=</mo> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo>;</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>m</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>M</mi> </munderover> <msub> <mi>d</mi> <mi>m</mi> </msub> <mo>&amp;CenterDot;</mo> <msub> <mi>w</mi> <mi>m</mi> </msub> <mo>&amp;GreaterEqual;</mo> <mn>0.85.</mn> </mrow> </mtd> </mtr> </mtable> </mtd> </mtr> </mtable> <mo>;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>4</mn> <mo>)</mo> </mrow> </mrow>
In formula:vmIt is the discriminating force coefficient of m-th of assessment dimension, can be calculated and obtained by assessment data;wmIt is by analytic hierarchy process (AHP) The weight of m-th of the assessment dimension determined;M is the dimension total number of primary election system;dmIt is 0-1 variables, when value is 0, represents M-th of assessment dimension is deleted, when value is 1, represents to retain m-th of assessment dimension.
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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108305014A (en) * 2018-02-23 2018-07-20 国家电网公司 A kind of failure model and effect analysis method based on reliability room and Rough Ideals point method
CN113449024A (en) * 2021-06-23 2021-09-28 平安普惠企业管理有限公司 Insurance data analysis method, device, equipment and medium based on big data

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108305014A (en) * 2018-02-23 2018-07-20 国家电网公司 A kind of failure model and effect analysis method based on reliability room and Rough Ideals point method
CN108305014B (en) * 2018-02-23 2021-12-03 国家电网公司 Failure mode and influence analysis method based on reliability room and rough ideal point method
CN113449024A (en) * 2021-06-23 2021-09-28 平安普惠企业管理有限公司 Insurance data analysis method, device, equipment and medium based on big data

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