CN110059360A - A kind of designing system and design method of novel planar structure - Google Patents
A kind of designing system and design method of novel planar structure Download PDFInfo
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Abstract
The invention proposes a kind of designing systems of novel planar structure, comprising: modeling module, analysis module, optimization module, refinement module and display module；Modeling module is for generating initial model；Analysis module is used to solve stiffness matrix and the displacement of the initial model, and calculates the value of design variable；Optimization module is used to solve the result of objective function；Later to the result iteration optimization of the objective function, the corresponding optimal design variate-value of initial control point is obtained；Refinement module is for obtaining the corresponding optimization display control point of initial control point；Display module is used to obtain the cloud atlas of optimal model.System decomposition at five modules, is kept calling program more succinct by the present invention, while reducing control point when modeling, so that the workload calculated is reduced, the speed of program operation increases substantially, and by fragment to model and splicing, simplifies the complexity of modeling.The invention also provides a kind of design methods of novel planar structure.
Description
Technical field
Technical field of mechanical design of the present invention more particularly to a kind of designing system and design method of novel planar structure.
Background technique
Machine Design is most important link in mechanical industry, be exactly under conditions of various restrictions (such as material, processing,
Theoretical knowledge and calculating means etc.) under design optimal case, that is, make optimization design.The optimization designed in the past, which relies primarily on, to be set
The knowledge of meter person, experience and foresight.With the application of mechanical engineering theoretical developments and design software, make Machine Design more
Increase effect, precisely.The development of equal geometric theories later, so that Machine Design optimization is more simple.Using NURBS as basic function
Body parameterized model entity expression, NURBS high-order continuity ensure that there are it is many effectively and numerical stability algorithms
Generate and optimize body parameter model, and based on this model etc. geometric analysis methods there is powerful flexibility, excellent
The advantages such as accuracy and convergence, therefore applied and promoted in each field once proposition.The control of body parameterized model
The geometry of point Controlling model, the building of body parameterized model is realized by NURBS basic function, realizes the continuity table of material
It reaches.In the geometrical analysis optimum design method such as tradition, using nurbs curve expression model, so need to be provided when establishing model
Whole control points of model, calculating target function optimize iteration to design variable, obtain optimal solution.
But above method have the shortcomings that it is very serious, when model belongs in more complex model or model with more
A hole, the method for providing whole control points just seem very complicated.Because a circle is constituted, according to nurbs curve
Theory not only needs to provide all coordinates at control point, it is also necessary to provide the weight at control point.The control of one complicated model
The quantity of point even can achieve several hundred thousands of.Even if whole control points can be provided, objective function is being solved to design
When the derivative of variable, it can also become abnormal cumbersome.For example, when the flexibility of Optimized model, that is, calculating target function pair
The derivative of design variable can be equivalent to the derivative for calculating dominating pair of vertices design variable, the number at control point after the derivation of equation
It measures huge, results in derivative and be difficult to solve.After solving the derivative of all dominating pair of vertices design variables, the calculating speed of program
Degree just will be greatly reduced.Therefore, a kind of novel planar structure design system and method are needed, to solve the above problems.
Summary of the invention
The purpose of the present invention is to provide the designing systems and design method of a kind of novel planar structure, to solve existing skill
The above problem present in art.To achieve the above object, the technical scheme adopted by the invention is as follows:
The invention proposes a kind of designing systems of novel planar structure, comprising:
Modeling module is input parameter with initial control point, for generating initial model；
Analysis module for solving stiffness matrix and the displacement of the initial model, and calculates the value of design variable；
Optimization module is input parameter with initial control point, the value of design variable, for solving the knot of objective function
Fruit；Later to the result iteration optimization of the objective function, the corresponding optimal design variate-value of initial control point is obtained；
Refinement module is shown for refining optimal design variate-value with obtaining corresponding optimize of initial control point
Show control point；
Display module optimizes display control point for importing, to obtain the cloud atlas of optimal model.
Preferably, the modeling module includes control point sub-module stored, model generation submodule and objective function derivative
Computational submodule；
The control point sub-module stored is to store the initial control point；
The model generates submodule for generating the initial model；
The objective function derivative calculations submodule is for calculating target function to the derivative of the design variable.
Preferably, the analysis module includes that stiffness matrix calculates assembling submodule and displacement computational submodule；
After the stiffness matrix calculates stiffness matrix, assembling unit and solution assembling of the assembling submodule to solve unit
Stiffness matrix；
The displacement computational submodule solves the displacement of each node according to the stiffness matrix after assembling.
Preferably, the optimization module includes that objective function result solves submodule and result iteration submodule；
The objective function result solves submodule to solve the result of objective function, judge whether the result is optimal
Solution；
The result iteration submodule goes out optimal design variate-value to iteration.
Preferably, the refinement module includes multiple refinement submodules.
Preferably, the display module includes displacement submodule and stress submodule.
Preferably, the objective function are as follows: foval=uKu.
Also a kind of design method of novel planar structure of the present invention, comprising the following steps:
Step S1: initial control point is input to the modeling module to generate initial model；
Step S2: by analysis module, stiffness matrix and the displacement of the initial model is analyzed, design variable is calculated
Value；
Step S3: initial control point is imported into optimization module, solves the result of objective function；
Step S4: judging whether objective function result is optimal design variate-value, if step S5 is carried out, if it is not, returning
Step S3 is returned, the result for solving objective function is continued；
Step S5: carrying out numerical value refinement to the optimal design variate-value, optimizes display control point to obtain；
Step S6: display control will be optimized and click through line position shifting or the display of Stress Map.
Compared with prior art, advantages of the present invention are as follows:
1) keep calling program more succinct at five modules analysis optimization broken down into program, be more favorable for operating, be also beneficial to
Later multi-functional exploitation.
2) largely reduce control point when modeling, so that the workload calculated is greatly reduced, program operation
Speed is greatly improved, and by fragment to model and splicing, simplifies the complexity of modeling.
3) calculating for realizing monolithic stiffness matrix is realized that stiffness matrix assembles between monolithic by program, is merged into total rigid
Spend matrix, the multi-disc analysis of implementation model.
Detailed description of the invention
Fig. 1 is the frame diagram of the designing system of the novel planar structure of one embodiment of the invention；
Fig. 2 is the flow chart of the design method of the novel planar structure of one embodiment of the invention；
Fig. 3 is the illustraton of model for needing to be designed in one embodiment of the invention；
Fig. 4 is the fragment figure of model in Fig. 3；
Fig. 5 is that figure is numbered at the control point in Fig. 4 between two panels；
Fig. 6 is initial control point figure in Fig. 5；
Fig. 7 is the initial model figure generated by Fig. 6；
Fig. 8 is the optimized control point diagram after optimization；
Fig. 9 is the optimal model figure generated；
Figure 10 is the optimization display control point diagram after refinement；
Figure 11 is the displacement cloud atlas of optimal model；
Figure 12 is the initial control point figure after refinement；
Figure 13 is the displacement cloud atlas of initial model.
Wherein, 1- modeling module, the control point 11- sub-module stored, 12- model generate submodule, 13- objective function derivative
Computational submodule, 2- analysis module, 21- stiffness matrix, which calculates, assembles submodule, 22- displacement computational submodule, 3- optimization module,
31- objective function result solves submodule, 32- result iteration submodule；4- refinement module, 41-h refine submodule, and 42-k is thin
Beggar's module, 43- refine multiple and select submodule, 5- display module, and 51- is displaced submodule, 52- stress submodule.
Specific embodiment
It is carried out below in conjunction with designing system and design method of the schematic diagram to novel planar structure of the invention more detailed
Description, which show the preferred embodiment of the present invention, it should be appreciated that those skilled in the art can modify described herein
The present invention, and still realize advantageous effects of the invention.Therefore, following description should be understood as those skilled in the art
It is widely known, and be not intended as limitation of the present invention.
As shown in Figure 1, the present embodiment proposes a kind of designing system of novel planar structure, comprising: modeling module 1 is divided
Analyse module 2,5 five optimization module 3, refinement module 4 and display module modules.The designing system is resolved into five modules, is made
Calling program is more succinct, is more favorable for operating, multi-functional exploitation after being also beneficial to.Wherein, the concrete function of 5 modules and
Structure is specific as follows:
Modeling module 1 is input parameter with initial control point, for generating initial model；Modeling module 1 is largely reduced
Control point when modeling, so that the workload calculated is greatly reduced, the speed of program operation is greatly improved, and leads to
The fragment to model and splicing are crossed, the complexity of modeling is simplified.
Analysis module 2 for solving stiffness matrix and the displacement of initial model, and calculates the value of design variable；It realizes
The calculating of monolithic stiffness matrix realizes that stiffness matrix assembles between monolithic, is merged into global stiffness matrix, implementation model by program
Multi-disc analysis.
Optimization module 3 is input parameter with initial control point, the value of design variable, for solving the knot of objective function
Fruit；Later to the result iteration optimization of objective function, the corresponding optimal design variate-value of initial control point is obtained；Optimization module 3
The execution step entirely optimized is had changed, the speed of model optimization is improved, improves the quality of model optimization.
Refinement module 4 is shown for refining optimal design variate-value with obtaining corresponding optimize of initial control point
Show control point (as shown in figure 12)；Elaborator is added in refinement module 4, so that the accuracy of model improves, the multiple of refinement
Oneself adjustment can be selected, the applicable situation of model is more.The effect of refinement module 4 is: calculating the position of initial model in next step
It moves, then calculates the flexibility of initial model, finally compared with the flexibility of optimal model, embody the superiority of algorithm.
Display module 5 optimizes display control point for importing, to obtain the cloud atlas of optimal model.Display module 5 solves
The multi-disc of model of having determined shows, and can be according to the selection of refinement multiple, the fineness of display model cloud atlas, so that model becomes
Change more intuitively to observe.It can also carry out variety classes cloud atlas according to the demand of practical matter and show, for example, displacement, is answered
Power etc..
In the present embodiment, modeling module 1 includes control point sub-module stored 11, model generation submodule 12 and target letter
Number derivative calculations submodule 13；Control point sub-module stored 11 is to storing initial control point；Model generates submodule 12 and is used for
Generate initial model；Objective function derivative calculations submodule 13 is for calculating target function to the derivative of design variable.
In the present embodiment, analysis module 2 includes that stiffness matrix calculates assembling submodule 21 and displacement computational submodule 22；
Stiffness matrix calculates the rigidity square after stiffness matrix, assembling unit and solution assembling of the assembling submodule 21 to solve unit
Battle array；It is displaced computational submodule 22 and the displacement of each node is solved according to the stiffness matrix after assembling.
In the present embodiment, optimization module 3 includes that objective function result solves submodule 31 and result iteration submodule 32；
Objective function result solves submodule 31 to solve the result of objective function, judge whether the result is optimal solution；As a result it changes
For submodule 32, go out optimal design variate-value to iteration.
In the present embodiment, refinement module 4 includes multiple refinement submodules, as h refines submodule 41 and k refinement submodule
42.The effect of h refinement module 41 is node insertion, increases the thinning method at the control point of model.K refinement submodule 42 is to combine
Improve the order of basic function and the thinning method of node insertion.Refinement module 4 further includes times for selecting to be suitable for carrying out example
Several refinement multiples selects submodule 43.
In this example it is shown that module 5 includes displacement submodule 51 and stress submodule 52, it is respectively used to display model
Displacement cloud atlas and Stress Map, can be chosen according to engineering objective.
In the present embodiment, objective function are as follows: foval=uKu, the above are flexibility expression formula, u is displacement array；, f=
Ku is discrete；The optimization aim of this objective function is that the area of structure is minimum, and the flexibility of structure is minimum.
As shown in Fig. 2, the invention also provides a kind of design methods of novel planar structure, with the stent model of rain shade
(such as Fig. 3) show experimental subjects, is specifically described the design method:
Step S1: initial control point is input to modeling module 1 to generate initial model (as shown in Figure 7).Wherein, Fig. 7
In abscissa and ordinate represent the size of the initial model.By providing the initial control point of initial model, program will be first
Beginning control point is deposited into control point sub-module stored 11, then is imported into model and generated in submodule 12, and initial model is generated.It connects
Objective function derivative calculations submodule 13 run, derivative of the calculating target function to design variable.Concrete operations are as follows:
For the physical model of plurigenus or labyrinth, physics is not only difficult to realize by the expression that monolithic body parameterizes
The expression of domain model and the flexibility for losing the building of body parameterized model.Therefore a kind of general and standard method is used,
By creating monolithic body parameterized model, will be bonded together between piece and piece, and then realize the expression of its complicated shape structure.
There are the more complicated physics domain models of a structure in (x, y) coordinate system as shown in Figures 4 and 5, by the bracket mould of rain shade
Type is divided into 20 Patch1, Patch2......Patch20, has an identical parameters domain empty every physics domain model
Between with consist of the relationship mapped one by one.Expression formula is as follows, and r represents the piece number of body parameterized model in formula.
As shown in figure 5, fragment and fragment are bonded together, need that processing, two panels is numbered to the control point of monolithic
Between bonding when by number reach unified, only the number of two sheet borders is arranged to it is identical, in calculating later and aobvious
Show, is just able to maintain the continuity of model.Bonding is completed to obtain initial control point figure as shown in FIG. 6.
Step S2: by analysis module 2, stiffness matrix and the displacement of the initial model is analyzed, design variable is calculated
Value；Specifically, calculating assembling submodule 21 by stiffness matrix, element stiffness matrix is calculated, and number according to cell node
It is assembled, the stiffness matrix after the assembling solved；The displacement of each node is solved by stiffness matrix again；The step institute
The theoretical basis of foundation is as follows:
1. the discretization of non-individual body
By the discrete computation model to be made of various units in continuum, this process is known as FEM meshing.From
Be connected with each other between unit and unit using node after dissipating, the structure analyzed in FInite Element be not original object or
Works, but the model being formed by connecting in a certain way by plurality of cells.In this way, with finite element analysis computation knot obtained
Fruit is approximate.If division unit type is rationally and number is very more, then result obtained is just closer to actual conditions.
2. element characteristics is analyzed
(1) displacement model is selected
In FInite Element, modal displacement is typically selected to be solved as so-called " displacement method " of unknown quantity.When
When using displacement method, some physical quantitys in unit can be such as displaced, strain and stress is indicated by modal displacement.It is right at this time
The distribution being displaced in unit is described by using some approximate functions that can approach original function.Usually, it will displacement in FInite Element
It is expressed as the simple function of unit coordinate variable.This function is known as displacement model or displacement function.Often assume that displacement function
For multinomial.
(2) mechanical characteristic of analytical unit
According to the material properties of unit, shape, size, interstitial content, position and its meaning etc., find out cell node power and
The relational expression of modal displacement, this is the key that a step in unit analysis.Need at this time geometric equation in applied elasticity and
Physical equation establishes the equation of power and displacement, thus lead-out unit stiffness matrix, this be FInite Element basic step it
One.If panel load array FeIt indicates, modal displacement array qeIndicate: then the power of unit and the equation of displacement are
Fe=Keqe
K in formula --- element stiffness matrix.
3. unit assembles
The knot for indicating total is assembled by the element stiffness matrix and unit equivalent node load column of above-mentioned acquisition
Structure stiffness matrix and structural loads array, to set up total known quantity (total panel load) and whole object unknown quantity
The relational expression of (total modal displacement).If global stiffness matrix is K, full payload array is F, the modal displacement of entire non-individual body is q,
Whole machine balancing equation is constituted between three, i.e.,
F=Kq
4. solving equilibrium equation
Consider boundary condition and primary condition, solves above-mentioned Simultaneous Equations, obtain the shift value of node.It can be according to equation
Specific feature select suitable calculation method.
Step S3: initial control point is imported into optimization module 3, solves the result of objective function；Pass through target letter
Number result solves submodule 31, can solve a solution of objective function；One result (solution) of objective function is one
Design variable value.
For optimization, it is first determined the model boundary curve or boundary surface for needing to optimize, by control disposed thereon
System point coordinate indicates that the parameter is optimization design variable with parameter, this interpolation method of through hole generates model cootrol point parameter
Change coordinates matrix.For the matrix, its Jacobian matrix to each design variable is gradually acquired.It is acquired by equal geometrical analysis program
The sensitivity of target function value and constraint function value and objective function and constraint function to design variable.
Optimization aim of the invention is that the area of structure is minimum, and the flexibility of structure is minimum, and constraint is that structure equivalent stress is small
It is less than given value in given value or maximum displacement.Optimization method is as follows:
min C([αi])=fTu
s.t.V≤V*
[αi]min≤[αi]≤[αi]max
Ku=f
Wherein, C is optimization aim flexibility；[αi] it is optimization design Variables Sequence, it is in the text optimised shape boundary Control
Point coordinate；V is model volume in Optimized Iterative；V*For model volume upper limit value；[αi]min、[αi]maxRespectively design variable
Lower limit value and upper limit value, f=Ku are discrete；K is stiffness matrix；U is displacement array；F is load column.
Flexibility expression formula:
Foval=uKu
Sensitivity of the structural compliance to design variable:
Bulk stiffness matrix K is therefore to be converted into from element stiffness matrix assembling and ask Ke pairs of element stiffness matrix
Design variable derivative problem.Design variable derivation is obtained:
Step S4: according to a circulation in optimization module, judging whether objective function result is optimal design variate-value,
If carrying out step S5, if it is not, return step S3, continues the result for solving objective function；By above-mentioned objective function result generation
Enter the update that the optimization method in step S3 is designed variable, to obtain new design variable value, then optimizes end
Only condition judges, the condition that meets then terminates optimization (convergence of optimization termination condition feeling the pulse with the finger-tip scalar functions result), is otherwise set with new
Count variable and return to step S3, continue to solve objective function as a result, the design variable updated again, until obtaining optimal
Design variable.Optimal design variable value is optimal solution, is optimized control point (as shown in Figure 8).Objective function
As a result ceaselessly iteration, when convergent to the end, as at the end of program circulation,
Step S5: carrying out numerical value refinement to optimal design variate-value, optimizes display control point (such as Figure 10 institute to obtain
Show)；Different refinement submodules can be selected according to the difference of target in engineering.For example, h refinement submodule 41 and k refinement
Module 42, and submodule 43 can be selected by refinement multiple, selection is suitable for carrying out the multiple of example, ultimately produces optimization mould
Type, as shown in Figure 9.Abscissa, ordinate in Fig. 9 indicate the size of optimal model.
Step S6: will optimize display control and click through the display that line position is moved, as shown in figure 11, abscissa in Figure 11, vertical
The size of coordinate representation optimal model, the right side Figure 11 are shift scale.
Initial display control is clicked through into the display that line position is moved, shown in Figure 13, abscissa, ordinate indicate the ruler of initial model
Very little size, the right side Figure 13 are shift scale.
Using the designing system and design method of the present embodiment, the flexibility of the stent model optimization front and back of rain shade, area
Correlation data is measured by experiment, as shown in table 1:
The optimization of table 1 front and back flexibility area result compares chart
| Flexibility | Area | |
| Before optimization | 2296 | 304 |
| After optimization | 1760 | 287 |
| Optimize percentage | Reduce 23.34% | Reduce 5% |
The above is only a preferred embodiment of the present invention, does not play the role of any restrictions to the present invention.Belonging to any
Those skilled in the art, in the range of not departing from technical solution of the present invention, to the invention discloses technical solution and
Technology contents make the variation such as any type of equivalent replacement or modification, belong to the content without departing from technical solution of the present invention, still
Within belonging to the scope of protection of the present invention.
Claims (8)
1. a kind of designing system of novel planar structure characterized by comprising
Modeling module is input parameter with initial control point, for generating initial model；
Analysis module for solving stiffness matrix and the displacement of the initial model, and calculates the value of design variable；
Optimization module is input parameter with initial control point, the value of design variable, for solving the result of objective function；It
Afterwards to the result iteration optimization of the objective function, the corresponding optimal design variate-value of initial control point is obtained；
Refinement module, for refining optimal design variate-value, to obtain the corresponding optimization display control of initial control point
Point processed；
Display module optimizes display control point for importing, to obtain the cloud atlas of optimal model.
2. the designing system of novel planar structure according to claim 1, which is characterized in that the modeling module includes control
System point sub-module stored, model generate submodule and objective function derivative calculations submodule；
The control point sub-module stored is to store the initial control point；
The model generates submodule for generating the initial model；
The objective function derivative calculations submodule is for calculating target function to the derivative of the design variable.
3. the designing system of novel planar structure according to claim 1, which is characterized in that the analysis module includes rigid
It spends matrix and calculates assembling submodule and displacement computational submodule；
It is rigid after the stiffness matrix, assembling unit and solution of unit assemble to solve that the stiffness matrix calculates assembling submodule
Spend matrix；
The displacement computational submodule solves the displacement of each node according to the stiffness matrix after assembling.
4. the designing system of novel planar structure according to claim 1, which is characterized in that the optimization module includes mesh
Scalar functions result solves submodule and result iteration submodule；
The objective function result solves submodule to solve the result of objective function, judge whether the result is optimal solution；
The result iteration submodule goes out optimal design variate-value to iteration.
5. the designing system of novel planar structure according to claim 1, which is characterized in that the refinement module includes more
A refinement submodule.
6. the designing system of novel planar structure according to claim 1, which is characterized in that the display module includes position
Move submodule and stress submodule.
7. the designing system of novel planar structure according to claims 1 to 6, which is characterized in that the objective function are as follows:
Foval=uKu.
8. a kind of design method of novel planar structure, which comprises the following steps:
Step S1: initial control point is input to the modeling module to generate initial model；
Step S2: by analysis module, stiffness matrix and the displacement of the initial model is analyzed, the value of design variable is calculated；
Step S3: initial control point is imported into optimization module, solves the result of objective function；
Step S4: judging whether objective function result is optimal design variate-value, if carrying out step S5, if it is not, returning to step
Rapid S3 continues the result for solving objective function；
Step S5: carrying out numerical value refinement to the optimal design variate-value, optimizes display control point to obtain；
Step S6: display control will be optimized and click through line position shifting or the display of Stress Map.
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