CN107239650A - Mixed flow is welded system complexity computational algorithm and complexity identifing source diagnostic method - Google Patents
Mixed flow is welded system complexity computational algorithm and complexity identifing source diagnostic method Download PDFInfo
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- CN107239650A CN107239650A CN201710235473.3A CN201710235473A CN107239650A CN 107239650 A CN107239650 A CN 107239650A CN 201710235473 A CN201710235473 A CN 201710235473A CN 107239650 A CN107239650 A CN 107239650A
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Abstract
It is welded system complexity computational algorithm and complexity identifing source diagnostic method the invention discloses a kind of mixed flow triggered by vehicle body personalization of product, the main complicated dynamic behaviour algorithm by invention, station level compositive complexity is calculated, product component modification complexity, pattern welding equipment complexity, material conveyance equipment complexity, buffer area equipment complexity is included.Equivalent-simplification is carried out to the mixed flow series-parallel connection welding line of different structure, the system that is welded of equivalent series station composition is formed, application state Space Theory represents the system-level complexity flow model of the information containing personalization component.Complexity source sensitivity index is proposed, to determine where the larger crucial station of complexity contribution and key equipment (i.e. crucial complexity source place).Carried invention can as automobile welding lines process planning decision assistant instrument, improve planning instantly, save cost and time, improve productivity ratio, enhancing manufacturer competitiveness.
Description
Technical field
The invention belongs to mechanical manufacturing field, being welded mainly for the vehicle body mixed flow triggered by vehicle body personalization of product is
System, designing a kind of complicated dynamic behaviour algorithm is used to estimate station level complexity and system-level complexity, and the complexity proposed
Source sensitivity index, to determine (i.e. crucial complexity source institute where the larger crucial station of complexity contribution and key equipment
).
Background technology
Under the conditions of personalization, product category extreme enrichment, in the car with product family, product platform and modularization feature
In body product, the number of its module is also increased, and causes combined number to increase severely.This also brings welding equipment, frock clamp
The problems such as complication, the change of process, cause production efficiency reduction, product quality to deteriorate.On the mixed flow welding line of vehicle body,
Influence of the complexity caused by product category to system is particularly huge.Although defining and answering for the complexity on mixed-model assembly line
It has been used as certain research, still, has been still limited to, from the related angle of product category, from the global angle of welding line not enter
Row considers, is also not introduced into the personalized factor of vehicle body product, vehicle body product mixed flow, which is not welded in system, may influence system
The complexity source of performance is identified, diagnosed.
The content of the invention
The technical problems to be solved by the invention are to go out in view of the shortcomings of the prior art there is provided one kind from the system overall situation of being welded
Hair, introduces vehicle body personalization of product factor, the computational algorithm for estimating be welded system station level and system-level complexity, simultaneously
The complexity source sensitivity index of proposition, to determine the larger crucial station of complexity contribution and key equipment place.The present invention
Can improve planning instantly as automobile welding lines and the decision assistant instrument of process planning, will also effectively save cost and
Time, improve productivity ratio, enhancing manufacturer competitiveness.
The technical scheme that the present invention solves technical problem is as follows：
The present invention is under the conditions of mixed flow series-parallel connection welding line, for personalized vehicle body product, proposes station level compositive complexity,
It is wherein complicated comprising product component modification complexity, pattern welding equipment complexity, material conveyance equipment complexity, buffer area equipment
Degree.Then the mixed flow series-parallel connection to different structure carries out equivalent-simplification, forms being welded for the composition of the equivalent series station used in analysis
System, application state Space Theory represents to include the system-level complexity flow model of personalization component information.
Various sensivity indexes are set up, complexity source are represented to the influence finally evaluated or contribution, and propose
The flow in identification and diagnosis of complex degree source in Process Plans, obtains the crucial station and key equipment where complexity source, so as to
In quickly progress process planning revision.
The complicated dynamic behaviour algorithm that the present invention is designed, can calculate station level compositive complexity, wherein becoming comprising product component
Type (is obtained) complexity, pattern welding equipment complexity, material conveyance equipment complexity, buffer area equipment by module, part modification and answered
Miscellaneous degree.And equivalent-simplification is carried out to the mixed flow series-parallel connection welding line of different structure, form the equivalent series station composition used in analysis
The system that is welded, application state Space Theory represents to include the system-level complexity flow model of personalization component information, to seek
Where the complexity source of vehicle body soldering system.
The present invention also proposes complexity source sensitivity index, to determine that the larger crucial station of complexity contribution and key are set
Standby place (where i.e. crucial complexity source).
The present invention can improve planning instantly as automobile welding lines and the decision assistant instrument of process planning, will also
Cost and time are effectively saved, productivity ratio, enhancing manufacturer competitiveness is improved.
Brief description of the drawings
Fig. 1 mixed flows are welded system equivalency transform schematic diagram
Fig. 2 key complexities identifing source, diagnostic process (note：)
Embodiment
Technical scheme is described in detail below in conjunction with drawings and Examples.Example is only used
In explaining the present invention, the scope of the present invention is not intended to limit.
First, station level assembly complexity modeling
(1) position equipment complexity
Static structure complexity is made up of three some factors：Information content size, Diversity of information index and the information content contain
Amount.On welding line station, the information of respective specific particular device available complexity exponential representation complexity in three kind equipments
Content content, to information content size and diversified understanding, is carried out by the assurance of information content content.
For pattern welding equipment complexity, material conveyance equipment complexity, the buffer area equipment complexity of specific a certain station,
It is expressed as：
Ce=(ne/Ne+Ie)[log2(Ne] ,+1) e=M, MHS, B
In formula, M, MHS, B represents pattern welding equipment, material conveyance equipment, buffer area equipment respectively.ne/NeRepresent that information is various
Change index, wherein neFor the station class unique apparatus number, NeFor the station kind equipment overall number；log2(Ne+ 1) then
Represent information content size, IeFor the average complexity index that the station kind equipment is overall, characterization information content content.It is specific to compile
Code is shown in brief description of the drawings table 1, table 2, table 3.
Table 1 is welded and auxiliary equipment coding
The material conveyance equipment of table 2 is encoded
The buffer area device coding of table 3
(2) product component selection complexity
For personalized vehicle body product family, orderThe module collection that station k is assembled on welding line is represented, for module r,
With VrIndividual different Product Variant, assembling formed component count by these block combiners isThen it is to every
The demand percentage of one vehicle body Product Variant constitutes requirement vector
If these module collections are welded in series connection station k, station manipulation personnel or planning personnel face selection
Component modification number isNow, to component modification vlDemand percentage, exist：
If these module collections are welded on station in parallel, operating personnel or planning as one of station k
The component modification number that personnel face selection is stillBut, to component modification vlDemand percentage due to simultaneously
Connection shunting, now, to component modification vlDemand percentage, exist：
Wherein, θklRepresent component modification vlDistribute to one of station in parallel k ratio.OrderRepresent
In nkUnder individual station situation in parallel, distribute to station k all component modification proportion of production.
In the present invention, the uncertainty of output result is measured with comentropy.
It is welded station k for series connection, then
In formula,Comentropy H1Subscript 1 represents that the station is that series connection is welded station.
In nkParallel connection is welded on station and is welded, then
In formula, comentropy H2Subscript 2 represents that the station is that parallel connection is welded station.
2nd, system-level complexity transmission modeling
(1) welding line hybrid connected structure equivalent operation
For ease of further carrying out the analysis of complexity, accordingly, it would be desirable to the information flow hybrid connected structure of welding line is carried out etc.
Yojan is imitated, parallel-connection structure contained therein is removed, draws complete cascaded structure.As shown in figure 1, equivalent-simplification is represented by：
Series equivalent operation is carried out to the series connection station on each branch road in the parallel connection part in hybrid connected structure first, i.e.,Behaviour
Make, form single equivalent station.The parallel-connection structure completed for above-mentioned steps, carries out parallel equivalent operation, i.e.,Operation, is formed
Single equivalent station.Until cascaded structure is that vehicle body product is welded main line, then equivalent operation terminates.
(2) system-level complexity flow model
It is located on the series connection station i (i=1,2...M) after equivalent operation, the module collection being welded isThis
Component modification (between the module and final products) number obtained after a little block combiners assemblings isComponent
ModificationThen its requirement vector, i.e. demand percentage are represented by
It is final personalized vehicle body product family to make P.
In formula, l=1,2 ..., Ni。Characterize component modification vilWhether as personalization component turn into vehicle body product family P
A part, if the selection of equipment on following station i+1 can be influenceed.
According to the classification to equipment on welding line, in certain station to pattern welding equipment (containing fixture), material conveyance equipment, caching
Area's equipment, which carries out selection, is used for the ensuing operation that is welded, and this housing choice behavior number consecutively is 1 (M), 2 (MHS), 3 (B).For
Represent the influence that component modification is selected equipment on station i+1 on station i, the relation square that definitions component modification is selected with equipment
Battle array：
In formula,
When there is personality module, the component that personality module is assembled would be possible to cause in follow-up downstream process
Equipment produce considerable degree of change, accordingly, it would be desirable to study influence of the personalization component for downstream process.
The requirement vector of component on station iAnd
It can obtain：
The personalization component modification requirement vector on station i is represented, thus probability, the definition of application message entropy can also be obtained
Because the complexity that personalization component is produced is on station i：
Wherein operator The complexity is represented, subscript 1 represents that this station is defined as string
Join station.The W operator representations introduce personalized factor, the information entropy obtained by the component vector on station are calculated individual
Property component produce complexity.
When adding personalization component on station i, the probability that equipment is in alternative state f on station i+1 is
Now, it is as the comentropy obtained by these probability calculations：
Represent that upper station personalization component is assembled the caused uncertainty of the equipment selection to next station, i.e.,
The equipment selection complexity transmitted.Also definable
Wherein e ∈ { 1,2,3 } and 1=M, 2=MHS, 3=B.Herein,Also operator is may be regarded as, conversion letter is also can be considered
Number form formula, it considers the complexity that personalization component is produced on station i, and the equipment selection comentropy to next station i+1 is entered
Row is calculated, and obtains the equipment selection complexity of personalization component initiation. The compositive relation of transfer function is represented,Component modification complexity on referred to as series connection station i.
According to state space theory, complexity flow model is set up：
BecauseSo, have：
In formula, i=1,2 ..., n are welded station for n after equivalent series connection,For answering for basic module
Miscellaneous degree,
In formula, exist：
Wherein, Ψi,h=Ai-1Ai-2…AhIt is state-transition matrix, yiRepresent have the crucial spy of product to station i component
Levy, assessed by examining, measuring the expert carried out, in welding line end, then carry out the expert of final personalization vehicle body product family
Assess.During i=M, designer also may be regarded as not true to final personalized product quality according to above-mentioned technique and assembly system planning
Qualitatively predict, that is, the expert of obtained product quality assesses.
In formula, ΓM=[[DMΨM,1][DMΨM,2]…[DMΨM,M]], Γ0=DMΨM,0,
In formula,
3rd, complexity source sensitivity analysis in vehicle body soldering system process and systems organization
In system-level complexity flow model, sensitivity analysis is produced for assessing each complexity source for personalized vehicle body
The influence of product race quality (expert's assessment), can be used as decision support tool, to instruct the revision of technique and systems organization and perfect.
The process of sensitivity analysis is divided into following steps：
STEP 1：Compare device sensitivity index (i.e. equipment selection uncertainty is to vehicle body product family quality influence degree)
With component modification sensivity index (i.e. component modification uncertainty is for vehicle body product family quality influence degree), Process Planning is determined
Draw interior main complexity source；
STEP 2：If main complexity source is to come from equipment, compare equipment for each product quality key feature
Sensivity index and equipment are for vehicle body product sensivity index (i.e. device sensitivity index in STEP 1), it is determined that key
Product key feature；If main complexity source comes from component modification, comparing component modification is crucial special for each product quality
The sensivity index levied and component modification are for vehicle body product sensivity index, it is determined that crucial product key feature；
STEP 3：Determine on the basis of product key feature, determine the crucial station where complexity source, confirm crucial complicated
Degree source, is revised for it, to improve technique and systems organization, strengthens its robustness.
Assuming that welding line has on M station, each station, there is Product Variant complexity, pattern welding equipment complexity, remove
Equipment complexity, buffer area equipment complexity are transported, welding line final products are personalized vehicle body product families, closed with I product
Key feature, then some row sensivity indexes can be calculated as follows：
(1) pattern welding equipment sensivity index on station k
Represent that pattern welding equipment complexity, for the influence of single product key feature and product family, is expressed as follows on station k,
Firstly, for vehicle body product key feature：
In formula, Γi,jFor matrix ΓMThe i-th row jth column element,With Δ yiPattern welding equipment is answered respectively on k stations
The allowable deviation and product key feature y in miscellaneous degree sourceiAllowable deviation.The formula represents pattern welding equipment j to critical product feature yi's
Influence degree.For product family：
In formula,Represent average influence of the pattern welding equipment j complexities to product family's key feature.Then the station, which is welded, sets
Standby complexity is to product key feature yiInfluence be：
In formula,Represent the pattern welding equipment numbering number on station k.To the average influence of product family's critical product feature
For：
(2) similarly, material conveyance equipment sensivity index, buffer area device sensitivity index are represented by station k：
(3) complexity that component modification is produced on station k can also be obtained for the influence of final products using the above method
Obtain a series of sensivity indexes：
(4) technique sensitiveness index
This group of sensivity index represents complexity that equipment on welding line and component modification produce to single critical product
Feature and the influence of vehicle body product family.
Similarly, it can obtainAnd
According to the definition of above-mentioned sensivity index, the flow for set up crucial complexity identifing source, diagnosing is as shown in Figure 2.
Claims (6)
- The computational algorithm of system complexity 1. a kind of mixed flow is welded, it is characterised in that：Under the conditions of mixed flow series-parallel connection welding line, for Personalized vehicle body product, comprises the following steps：(1) station level complexity is proposed：It is complicated that product component modification (is obtained) complexity, pattern welding equipment by module, part modification Degree, material conveyance equipment complexity, buffer area equipment complexity；(2) system-level complexity：The mixed flow series-parallel connection welding line of equivalent-simplification different structure, forms the equivalent series work used in analysis The system that is welded of position composition, application state Space Theory represents to include the system-level complexity flow model of personalization component information.(3) complexity source sensitivity index：Determine where the larger crucial station of complexity contribution and key equipment, i.e., key is multiple Where miscellaneous degree source.
- 2. complicated dynamic behaviour algorithm according to claim 1, it is characterised in that：Step (1) the station level complexity Calculate, respectively to pattern welding equipment, material conveyance equipment and buffering area equipment are entered with species, structure, control mode and mode of operation Row sorting code number.Encoding operation defines the information content of each equipment of automobile welding lines, the essence knot of description station plurality of devices Structure static state complexity.
- 3. complicated dynamic behaviour algorithm according to claim 1, it is characterised in that：Step (1) the station level complexity Calculate, station and the uncertainty of the station component selection in parallel that is welded of being welded of connecting are respectively described by information entropy theory, i.e., Product component modification complexity.
- 4. complicated dynamic behaviour algorithm according to claim 1, it is characterised in that：The calculating of step (2) system-level complexity, Equivalent yojan is carried out by the information flow hybrid connected structure to welding line first, forms what the equivalent series station used in analysis was constituted Be welded system, then studies influence of the upstream station component selection change to downstream process complexity, i.e. DYNAMIC COMPLEX degree.Using State space theory represents to include the system-level complexity flow model of personalization component information.
- 5. utilize claim 1 complicated dynamic behaviour algorithm implementation complexity identifing source diagnostic method, it is characterised in that：It is determined that complicated Degree source sensitivity index, for determining the larger crucial station of complexity contribution and key equipment place, i.e., crucial complexity Where source.
- 6. complexity identifing source diagnostic method according to claim 5, it is characterised in that：It is sensitive especially by equipment is set up Spend index (i.e. equipment selection uncertain to vehicle body product family quality influence degree) and component modification sensivity index (i.e. component Modification uncertainty is for vehicle body product family quality influence degree), and crucial complexity identifing source and diagnostic process are set up, really Where fixed key complexity source.
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| CN115311592A (en) * | 2022-04-02 | 2022-11-08 | 清华大学 | Job site material safety evaluation system based on computer vision technology |
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Application publication date: 20171010 |