CN104978467B - A kind of multidisciplinary design optimization subject decoupling method - Google Patents
A kind of multidisciplinary design optimization subject decoupling method Download PDFInfo
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Abstract
The invention discloses a kind of multidisciplinary design optimization subject decoupling method, this method to carry out system balancing analysis in multidisciplinary coupling model for there are the coupled relation that mutual variable relies between subject component, using the system coupling ring that there is positive connection and feedback link at the same time as a disposed of in its entirety, so that master mould is changed into the oriented graph data structure for having ring, initial value is set to feedback variable, solve the nonlinear equation corresponding to graph data structure, the new value of feedback variable is set according to feedback variable result of calculation and the difference of initial value, and then interative computation is until convergence.By the present invention, the operational efficiency of multidisciplinary design optimization flow is improved, improves the engineering practicability of multidisciplinary design optimization, it is easier to obtain the optimized parameter of product design.
Description
Technical field
The invention belongs to product design to optimize field, more particularly, to a kind of multidisciplinary design optimization subject decoupling side
Method.
Background technology
Modern Large tool is mostly highly complex big system, and product design is related to including structure, pneumatic, optics, heat
, electromagnetism, control, cost and some for subject specific to product object, so modern complex large-sized mechanical design
Typically one combines multiple subjects or a variety of scientific and technical system engineerings.Such as Flight Vehicle Design just needs to consider at the same time
The subject such as structure, pneumatic, stealthy, flight, electromagnetism.
Traditional Series design method ignores interdisciplinary interaction, can not only for the purpose of a certain subject is optimal
Achieve the purpose that global optimization, and its design cycle is long, of high cost.Multidisciplinary optimization is that processing complication system is excellent
The effective tool of change problem.By multidisciplinary design optimization model, Process integration and design optimization are built by computer technology
Environment, all kinds of analysis softwares of coordinated drive and correlation computations instrument, reach the multidisciplinary design optimization of product, it has also become multidisciplinary
The concrete form that design optimization is realized.
However, when specifically establishing Optimized model, since design variable is more in the design optimization problem of complication system, subject
Between relation is complicated and subject between close coupling state is presented, modeling and Optimization Solution to complication system bring difficulty.It is existing
There is multidisciplinary design optimization, the definition of subject coupling can not be carried out in process modeling environment, to the subject component of coupling
It can not realize efficient decoupling computation.Therefore, realize that subject coupling definition becomes and be badly in need of solution in existing multidisciplinary design optimization software
Certainly the problem of.
A subject or a analysis software are represented with a component, variable between component in multidisciplinary design optimization model
Transmission then represented with connecting.Since object to be dealt with is mostly complication system, the variable transferring between component often includes
There is the feedback link opposite with positive connection direction of transfer.Feedback link is prevalent in multidisciplinary design optimization model, is allowed
Overall system architecture becomes increasingly complex, becomes increasingly difficult system modelling and analysis and solution process, seriously hinders more
The specific implementation of section's design optimization.
When there is the correlated variables of coupling between subject component A and B, there is the transmission of variable from subject component A to B,
The order for solving component is just difficult to judge.Traditional method is first to calculate one of component A, and handling result is brought into another
Component B, then the handling result of component B is brought into component A and is calculated, then reruned according to such step.But this
" dragsaw " phenomenon necessarily occurs in solution procedure, causes to calculate and does not restrain.If subject quantity is more, treatment effeciency is extremely
Lowly.
Therefore, existing business multidisciplinary design optimization, positive transmission is only handled when building network analysis flow
Variable, is then generally disregarded for feedback variable；When needing to do necessary processing in a few cases, then need to be directed to specific production
Product design treatment method, so needs to do deep understanding for specific product, processing procedure easily malfunctions and inefficiency.
Moreover, when Optimizing Flow is complicated, feedback link is more, the solution speed of flow can be seriously affected by making to handle ring structure in this way
Degree and precision.Therefore, how to carry out decoupling the problem become in multidisciplinary design optimization for coupling ring.
The content of the invention
For the disadvantages described above or Improvement requirement of the prior art, the present invention provides a kind of multidisciplinary design optimization subject solution
Coupling method, its object is to which multidisciplinary coupling model is converted into graph data structure, greatly strong unicom in graph data structure
Corresponding strong unicom component is schemed as a disposed of in its entirety, thus solves coupled problem processing difficulty in multidisciplinary design optimization
Technical problem.
To achieve the above object, a kind of one side according to the invention, there is provided multidisciplinary design optimization subject decoupling
Method, comprises the following steps：
The first step：Establish multidisciplinary coupling model
According to the requirement of product design, multidisciplinary coupling model is established, then according to the transitive relation of variable in model, is built
Connection in formwork erection type between component；I.e. if the output variable of component A is the input variable of component B, component A is established to group
The connection of part B；
Second step：Create graph data structure
All component in multidisciplinary coupling model is converted into vertex, while according to the direction connected between component,
All connections between component are converted to directed edge；All vertex and directed edge collectively form graph data structure；
3rd step：Create chained list
All greatly strong unicom subgraphs are identified in the graph data structure established；It is right to all greatly strong unicom subgraph institutes
The strong unicom component answered, and the component being not belonging to corresponding to the single vertex of greatly strong unicom subgraph all create corresponding chain
Table；The chained list of corresponding strong unicom component, then store all component of the strong unicom component, the corresponding list for being not belonging to strong unicom component
The chained list on a vertex, then store the component of the vertex correspondence；Dependence is only existed between all chained lists, there is no coupling pass
System, that is, only exist positive connection, there is no feedback link；
4th step：The sequence of chained list
Dependence according to chained list is ranked up all chained lists created in the 3rd step, i.e., according to the side of forward direction connection
To sequence, and establish double linked list and all chained lists are sequentially preserved according to this；
5th step：Handle multidisciplinary coupling model
The assignment of design variable is provided, it is right successively since first chained list according to the linked list order established in the 4th step
Chained list is handled, until last chained list is disposed；
In processing procedure, when the component count of current storage of linked list is 1, then direct computing current component, obtains processing knot
Fruit, component count then carry out the computing of strong unicom component when being more than 1；
6th step：Whether verification processing result meets design requirement
Whether verification processing result meets the design object and constraints of product, meets then multidisciplinary design optimization knot
Beam, otherwise returns to the 5th step；
The calculating process of strong unicom component is as follows described in 5th step：
(1) feedback link is removed
All system coupling rings are identified in the corresponding greatly strong unicom subgraph of current chained list, and coupling ring is torn
Split, remove the directed edge that feedback link is all corresponded in all system coupling rings, very big strong unicom subgraph is changed into oriented
Acyclic figure, strong unicom component at this time only has positive connection, without feedback link；
(2) sort to component
According to the direction of positive connection between component in current strong unicom component, sort to component, and it is suitable according to the component
The corresponding vertex order of sequence is numbered original system coupling ring in directed acyclic graph；
(3) nonlinear equation is constructed
According to the function of new component priority order and component in itself, construction and above-mentioned strong unicom component are corresponding non-linear
Equation；
(4) nonlinear equation iterative solution
It is corresponding to directed edge in original system coupling ring according to the numbering of the obtained system coupling ring of step (2)
Component pointed by feedback link assigns initial input value, and the nonlinear equation established based on step (3) is iterated and asked
Solution, until nonlinear equation is restrained, obtains handling result.
Preferably, the specific method of second step is as follows：The component list is established, stores all groups of multidisciplinary coupling model
Part, while establish connection list, connection between storage assembly and the module information connected；Traverse component list, obtains
All component simultaneously generates the vertex corresponding to each component, while travels through connection list, obtains all connections and the group connected
The information of part, according to the direction of connection, generates a directed edge, to connect the vertex corresponding to each component；All vertex and have
Graph data structure is collectively formed to side.
Preferably, the step of operation of strong unicom component (4) be specially：
S1：According to the numbering of the obtained system coupling ring of step (2), to the corresponding feedback of directed edge in system coupling ring
The pointed all component of connection assigns initial input value, substitutes into the nonlinear equation that step (3) obtains and is solved, is
The output valve of the pointed all component of the corresponding positive connection of directed edge in system coupling ring；
S2：Above-mentioned input value and output valve are carried out using the instrument that iterates to calculate (such as Minpack iterates to calculate kit)
Whether calculating is handled, and judge that current iteration calculates and restrain, i.e., whether input value is approximately equal to output valve；If current iteration calculates
Convergence, then calculate and terminate, obtain handling result；If do not restrained, the input value reset using iterative calculation instrument is returned
Return S1 and carry out next round calculating.
By the contemplated above technical scheme of the present invention compared with prior art, since multidisciplinary coupling model being converted
For graph data structure, the directed cyclic graph in graph data structure is converted into directed acyclic graph, in multidisciplinary coupling model
Strong unicom component is handled, so as to solve the problems, such as that subject coupled problem treatment effeciency is low in multidisciplinary design optimization.
Brief description of the drawings
Fig. 1 is multidisciplinary design optimization subject decoupling method flow chart of the present invention；
Fig. 2 is the schematic diagram of multidisciplinary coupling model processing in multidisciplinary design optimization subject decoupling method of the present invention；
Fig. 3 is positive connection and feedback link schematic diagram in embodiment 1；
Fig. 4 is graph data structure schematic diagram in embodiment 1；
Fig. 5 is strong unicom component identification schematic diagram in embodiment 1；
Fig. 6 is that 1 double center chain of embodiment represents to be intended to；
Fig. 7 is system coupling ring schematic diagram in embodiment 1；
Fig. 8 is directed acyclic graph schematic diagram in embodiment 1.
Embodiment
In order to make the purpose , technical scheme and advantage of the present invention be clearer, with reference to the accompanying drawings and embodiments, it is right
The present invention is further elaborated.It should be appreciated that the specific embodiments described herein are merely illustrative of the present invention, and
It is not used in the restriction present invention.As long as in addition, technical characteristic involved in each embodiment of invention described below
Not forming conflict each other can be mutually combined.
Embodiment 1
The first step：Required according to product design, establish multidisciplinary coupling model, which is made of 4 subjects, it is learned
Section's expression formula is defined as follows：
Subject 1：y1=x2
Subject 2：
Subject 3：
Subject 4：y4=y3
Wherein, Y={ y1,y2,y3It is coupling variable；X={ x1,x2,x3It is design variable.
Second step：Above-mentioned all subjects are loaded into expression formula component respectively, and carry out variable mappings, are established between component
Positive connection and feedback link；
3rd step：The component list is established, the corresponding component 1-4 of subject 1-4 are stored in the component list；Establish at the same time
List is connected, by positive connection all between subject and feedback link deposit connection list, the connection stored includes learning
The output variable y of section 11To the input variable y of subject 21Corresponding positive connection, the output variable y of subject 22To subject 3
Input variable y2Corresponding positive connection, the output variable y of subject 33To the input variable y of subject 23Corresponding feedback connects
Connect, and the output variable y of subject 33To the input variable y of subject 43Corresponding positive connection, as shown in figure 3, wherein solid line
Represent positive connection, dotted line represents feedback link；
4th step：Traverse component list, obtains the corresponding component of each subject, and generates corresponding vertex, and subject 1 is right
Answer vertex 1,2 corresponding vertex 2 of subject, 3 corresponding vertex 3 of subject, 4 corresponding vertex 4 of subject；Connection list is traveled through at the same time, obtains institute
Some connections generate corresponding directed edge, and the directed edge generated has the positive directed edge on connection vertex 1 to vertex 2, even
The positive directed edge on vertex 2 to vertex 3 is connect, connects the directed edge of the negative sense on vertex 3 to vertex 2, connects vertex 3 to vertex 4
Positive directed edge；As vertex 1 to the vertex 4 corresponding to each subject, and corresponding to all positive connections and feedback link
Directed edge construct the graph data structure for corresponding to computation model jointly, as shown in Figure 4；
5th step：Strong unicom component is identified in the graph data structure that the 4th step is established, the strong continune component identified
As shown in Figure 5；Component 1 corresponding to vertex 1 is stored in chained list 1, by corresponding to the vertex 2 and vertex 3 in strong unicom component
Component 2 and component 3 are stored in chained list 2, the component 4 corresponding to vertex 4 are stored in chained list 3, as shown in Figure 6；Between chained list only at this time
There are dependence, that is, only exists positive connection, there is no feedback link；
6th step：Dependence order according to chained list is ranked up chained list, and establishes double linked list and preserve the according to the sequence
All chained lists established in five steps；
7th step：The assignment of given design variable, i.e. x1=1, x2=1, x3=1, according to the chain list sorting in the 4th step according to
Secondary acquisition chained list；
(1) chained list 1 is obtained, the component count that chained list 1 stores is 1, illustrates no strong unicom component；Then it is directed to current chained list
The component 1 of storage carries out computing, obtains output valve y1=x2=1；
(2) chained list 2 is obtained, component 2 and component 3 are obtained from chained list 2, since number of components is not 1, illustrates there is strong unicom
Component；The identifying system coupling ring in the very big strong unicom subgraph corresponding to chained list 2, a system is have identified for the chained list
Coupling ring, including vertex 2, the positive directed edge on vertex 2 to vertex 3, vertex 3, vertex 3 to vertex 2 negative sense directed edge,
As shown in Figure 7；
(3) the system coupling ring in step (2) is torn, removes the directed edge corresponding to feedback link, i.e. vertex 3
To the directed edge of the negative sense on vertex 2, by the corresponding greatly strong unicom subgraph transformation of the strong continune component identified in step (2)
For directed acyclic graph, the directed acyclic graph generated is as shown in Figure 8；
(4) directed acyclic graph generated in search step (3), only exists the positive side on vertex 2 to vertex 3 at this time,
There is no reverse side；Resequence according to the component corresponding to the direction opposite vertexes on positive side, obtaining new component priority order is
Vertex 2 to vertex 3, and system coupling ring is numbered sequentially in directed acyclic graph according to this, that is, record vertex 2 and vertex
System coupling ring where 3 is the 1st system coupling ring；
(5) according to the numbering of system coupling ring in step (4), recognize the 1st system coupling ring and contain vertex 2 and vertex
3, since the direction on the side between vertex 2 and vertex 3 is to be directed toward vertex 3 from vertex 2 at this time, therefore it may determine that the side on the side of negative sense
To being to be directed toward vertex 2 from vertex 3, therefore the input variable that iteration is used is determined as y '3With the former input y of substitution3And it is directed toward vertex 2
Corresponding component 2；
(6) construct as follows with the strong corresponding nonlinear equation of unicom component：
Wherein, y1With y '3It is the input variable of component 2, y1Value be equal to component 1 result of calculation, y2It is the defeated of component 2
Go out variable, y3It is the output variable of component 3；
(7) to the y ' in step (6)3Initial input value is assigned, in y '3Pass through first time equation solution when=1, for y1
=1, x1=1, x3=1, obtain y3=3.67；
(8) using Minpack iterative calculation kits, according to by y '3=1 and y3=3.67 are calculated y '3New tax
Value；And return to step (7), by y '3New assignment substitutes into nonlinear equation and carries out new solution；
(9) repeat step (7) (8), until nonlinear equation is restrained, i.e. y3≈y′3, obtain the knot of the solution of current chained list
Fruit is y3=3.51；
8th step：Chained list 3 is obtained, component 4 is obtained from chained list 3, due to there was only a component, illustrates no strong unicom point
Amount, then carry out the computing of component 4, obtain output valve y4=y3=3.51；
9th step：All chained lists are disposed in double linked list, and the processing of multidisciplinary coupling model terminates；
Tenth step：The output valve of each component obtained to handling the model, i.e.,：y1=1,y4=y3=3.51 are verified, it was demonstrated that meet design object and the constraint of product
Condition, multidisciplinary optimization flow terminate.
As it will be easily appreciated by one skilled in the art that the foregoing is merely illustrative of the preferred embodiments of the present invention, not to
The limitation present invention, all any modification, equivalent and improvement made within the spirit and principles of the invention etc., should all include
Within protection scope of the present invention.
Claims (3)
1. a kind of multidisciplinary design optimization subject decoupling method, it is characterised in that comprise the following steps：
The first step：According to the requirement of product design, multidisciplinary coupling model is established, is then closed according to the transmission of variable in model
System, establishes the connection between component in model；
Second step：All component in multidisciplinary coupling model is converted into vertex, while according to the direction connected between component,
All connections between component are converted to directed edge；All vertex and directed edge collectively form graph data structure；
3rd step：Greatly strong unicom subgraph is identified in the graph data structure established；To corresponding to very big strong unicom subgraph
Strong unicom component, and the component being not belonging to corresponding to the single vertex of greatly strong unicom subgraph all create corresponding chained list, point
Other all component to strong unicom component and it is not belonging to the single component of strong continune component and stores；
4th step：Dependence according to chained list is ranked up chained list；
5th step：The assignment of design variable is provided, according to the linked list order established in the 4th step, since first chained list successively
Chained list is handled, until last chained list is disposed；
In processing procedure, when the component count of current storage of linked list is 1, then direct computing current component, obtains handling result, group
Number of packages amount then carries out the computing of strong unicom component when being more than 1；
6th step：Whether verification processing result meets the design object and constraints of product, meets then multidisciplinary design optimization
Terminate, otherwise return to the 5th step；
The calculating process of strong unicom component is as follows described in 5th step：
(1) all system coupling rings are identified in the corresponding greatly strong unicom subgraph of current chained list, and is connected using feedback is removed
The mode of connecing is torn, and very big strong unicom subgraph is changed into directed acyclic graph；
(2) according to the closure between the component of current storage of linked list, sort to component, and to original in directed acyclic graph
System coupling ring be numbered；
(3) according to component priority order, construction and the corresponding nonlinear equation of above-mentioned strong unicom component；
(4) it is corresponding to directed edge in original system coupling ring anti-according to the numbering of the obtained system coupling ring of step (2)
The pointed all component of feedback connection assigns initial input value, and the nonlinear equation established based on step (3) is iterated
Solve, until nonlinear equation is restrained, obtain handling result.
2. multidisciplinary design optimization subject decoupling method as claimed in claim 1, it is characterised in that the specific method of second step
It is as follows：Establish the component list, store all component in multidisciplinary coupling model, while establish connection list, storage assembly it
Between connection and the module information that is connected；Traverse component list, obtains all component and generates the top corresponding to each component
Point, while connection list is traveled through, the information of all connections and the component connected is obtained, according to the direction of connection, generation one
Bar directed edge, to connect the vertex corresponding to each component；All vertex and directed edge collectively form graph data structure.
3. multidisciplinary design optimization subject decoupling method as claimed in claim 1, it is characterised in that the computing of strong unicom component
The step of (4) be specially：
S1：According to the numbering of the obtained system coupling ring of step (2), to the corresponding feedback link of directed edge in system coupling ring
Pointed all component assigns input value, substitutes into the nonlinear equation that step (3) obtains and is solved, obtains system coupling ring
The output valve of the pointed all component of the corresponding positive connection of middle directed edge；
S2：Whether more above-mentioned input value and output valve simultaneously judge that current iteration calculates and restrain, and calculate and terminate if convergence, obtain
Handling result；Otherwise reset input value and return to S1.
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| CN101916458A (en) * | 2010-09-10 | 2010-12-15 | 湖南大学 | Multi-scale estimation predication method of geographic model |
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| 多领域物理系统混合建模平台开发;吴义忠 等;《计算机辅助设计与图形学学报》;20060131;第18卷(第1期);第120-124页 * |
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