CN109086492A - A kind of wire frame representation of body structure threedimensional model and deformation method and system - Google Patents
A kind of wire frame representation of body structure threedimensional model and deformation method and system Download PDFInfo
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Abstract
The present invention provides the wire frame representation and deformation method and system of a kind of body structure threedimensional model.The method of the present invention, comprising: extract the subgraph model of beam in vehicle body threedimensional model to be analyzed, board member；According to the connection relationship of beam, board member in body structure, extracted each subgraph model is assembled, initial graph model corresponding with body structure is obtained；Initial graph model is reduced to wire-frame model；Based on the grid deforming method of Laplce's coordinate, the deformation of the wire-frame model is completed；Deformation method based on radial basis function completes the deformation of body structure threedimensional model.The present invention can rapidly obtain finite element model adjusted during Body structure optimization designs, and avoid professional technician and model the behavior taken time and effort again by hand, the present invention can be widely popularized in body structure design field based on the above reasons.
Description
Technical field
The present invention relates to body structure design field more particularly to a kind of wire frame representations and change of body structure threedimensional model
Shape method and system.
Background technique
With the continuous improvement of lightweight and security requirement, the structural behaviour for how improving designed body structure refers to
Mark becomes the critical issue of vehicle body design.The above problem can be efficiently solved using design optimizing.Carrying out structure
It is general to require to provide sensitivity or shape update mode of the multiple groups model to calculate structure when optimization design.
Body structure generally uses finite element analysis model or geometrical analysis models is waited to carry out structural mechanics simulation analysis.For
Realize the update of analysis model, the change in shape that complete vehicle structure analysis model is obtained by modeling by hand main at this stage.Due to
These two types of models all have complicated geometry, therefore modeling not only requires a great deal of time by hand, while requiring skill
Art personnel have modeling experience abundant.
Another kind of method realizes the change of vehicle geometry using the CAD model parameterized in advance, then according to automatic
Grid generation method obtains the finite element grid for being suitable for structural analysis.However, automatically generating grid from the CAD model of geometry complexity
There are robustness problems for model.
Summary of the invention
According to technical problem set forth above, and provide a kind of body structure of quick obtaining finite element model adjusted
The wire frame representation of threedimensional model and deformation method.The technological means that the present invention uses is as follows:
A kind of wire frame representation of body structure threedimensional model and deformation method, include the following steps:
S1, the subgraph model for extracting beam in vehicle body threedimensional model to be analyzed, board member；
S2, extracted each subgraph model assembling is obtained according to the connection relationship of beam, board member in body structure
Initial graph model corresponding with body structure；
S3, initial graph model is reduced to wire-frame model, the wire-frame model by initial graph model vertex set
And indicate that the straightway collection of vertex connection relationship is combined into；
S4, by the grid deforming method based on Laplce's coordinate, complete the deformation of the wire-frame model；
S5, pass through the deformation method based on radial basis function, the wire-frame model of input deformation front and back, completion vehicle body knot
The deformation of structure threedimensional model.
Further, in step S1, the subgraph model of beam is extracted by automatic or manual mode, wherein is extracted
The center line of beam meets following relationship:
Each beam has a center line to be corresponding to it, and the center line should be through beam and each by component
Cross-section center point；
The link position of multiple beams is made of the intersection point of a plurality of center line corresponding with beam；
Above-mentioned center line is indicated using broken line, obtain one group of vertex set and connects the straight flange set on vertex.
Further, in step S1, the subgraph model for extracting board member includes:
S101, the boundary curve for extracting board member model；
S102, data point is up-sampled in boundary curve, and the sampling inside board member is calculated by K-MEANS algorithm
Point；
S103, using the sampling data point on boundary curve and inside board member as the input of Voronoi subdivision method, cut open
Scoreboard component region, obtains multiple subregions；
S104, according to the syntople of the resulting subregion of subdivision, using the corresponding sampling in straight flange connection adjacent subarea domain
Data point constitutes the subgraph of corresponding board member.
Further, wire-frame model step S2, is constructed in the following way in S3:
S21, it is established in the subgraph and board member subgraph adjacent thereto of beam and is pushed up according to the syntople of beam, board member
The connection relationship of point, assembles the subgraph and board member subgraph adjacent thereto of beam；
S22, all subgraphs are assembled, obtains initial graph model；
S31, respectively by the vertex classification in initial graph model, wherein three or three using the intersection point of upper member as second level
Vertex, the vertex for constituting initial wire-frame model convex closure is level-one vertex, remaining vertex is zero level vertex；
S32, setting length threshold values, while guaranteeing that any straight flange at most contains a second level vertex, by the following method, simplify
Initial graph model:
If the length of S321, a certain straight flange is greater than the threshold value, do not operate；
If the length of a certain straight flange is not more than the threshold value, make the following judgment:
When two vertex grades that straight flange is connected are identical, then the straight flange is deleted, a new summit is introduced and changes wire frame
The connection relationship of model, wherein introduced new summit coordinate position is the average value on two vertex that straight flange is connected,
When two vertex grades differences that straight flange is connected, then the straight flange is deleted, a new summit is introduced and changes wire frame
The connection relationship of model, wherein introduced new summit coordinate position is identical as the position on the higher vertex of straight flange middle grade；
S322, the adjacent vertex on two vertex of straight flange is connected with the new summit of introducing；
S323, iterate step S321, S322, until the length of no straight flange is less than the threshold value, is simplified
Initial graph model, i.e. wire-frame model.
Further, in the step S4, the wire-frame model of deformation is obtained by the following method:
S41, body structural member and affiliated flow structure according to each vertex correspondence in driven subgraph, by driven subgraph
It is divided into multiple flow pattern subgraphs,
Wherein, the driven subgraph is other regions in wire-frame model in addition to deformed region and fixed area,
The flow structure includes the beam subgraph as single order flow pattern and the board member subgraph as second order flow pattern；
S42, the deformation for forming each flow pattern subgraph of driven subgraph is calculated by the grid deforming method of Laplce's coordinate,
Wherein, LkFor the Laplace operator of k rank flow pattern, δ=LkV is that the Laplce of each vertex v in k rank flow pattern subgraph sits
Mark, (i, j) indicate vertex viAnd vjFor the shared vertex of different flow pattern subgraphs, set C be in driven subgraph with deformation subgraph, solid
The shared vertex set of stator figure；
S43, deformed deformation subgraph, driven subgraph and fixed subgraph are assembled according to shared vertex, after being deformed
Wire-frame model.
Further, the deformation method of the step S5 body structure threedimensional model is as follows:
S51, by the wire-frame model before deformation, i.e. all vertex { v in wire-frame model in step S3iAs radial base letter
The basic point of number deformation method calculates the deformation vector on deformation front and back each vertex of wire-frame model:
di=vi′-vi；
S52, the deformation vector that any spatial point x is calculated by following formula:
Wherein, | x-vi| it is spatial point x to RBF basic point viEuclidean distance, φ is radial basis function, wiFor RBF basic point vi
Locate the weight coefficient of radial basis function,
Calculate the weight coefficient:
Enable x=vj, obtain dj=∑iwiφ(|vj-vi|)=∑iwiφji
Wherein, vjFor a certain RBF basic point.Therefore the weight coefficient w at each RBF basic point can be solved according to above formulai；
S53, the grid vertex of threedimensional model is brought to the deformation vector calculation formula in S52 into, calculates threedimensional model vertex
Deformation vector, the deformation vector is added into grid vertex, obtains the deformation result of threedimensional model.
The present invention also provides the wire frame representations and anamorphotic system of a kind of body structure threedimensional model, comprising:
Spirte model construction unit, for extracting the subgraph of the beam in vehicle body threedimensional model to be analyzed, board member
Model；
Initial graph model construction unit constructs initial graph model for assembling extracted each subgraph model；
Wire-frame model construction unit simplifies recombination, structure for carrying out the vertex set of initial graph model, straightway set
Build wire-frame model；
Wire-frame model deformation unit, for carrying out deformation process to the wire-frame model；
Body structure three-dimensional model deformation unit.
The present invention is reduced to wire-frame model by carrying out recombination to beam, the board member in graph model, passes through line mask
Type drives the threedimensional model of body structure, realizes that the process of finite element model deformation, the present invention can be set in Body structure optimization
During meter, finite element model adjusted is rapidly obtained, avoiding professional technician, modeling time-consuming consumes again by hand
The behavior of power, the present invention can be widely popularized in body structure design field based on the above reasons.
Detailed description of the invention
In order to more clearly explain the embodiment of the invention or the technical proposal in the existing technology, to embodiment or will show below
There is attached drawing needed in technical description to do simply to introduce, it should be apparent that, the accompanying drawings in the following description is this hair
Bright some embodiments for those of ordinary skill in the art without any creative labor, can be with
It obtains other drawings based on these drawings.
Fig. 1 is wire frame representation and the deformation method flow chart of body structure threedimensional model of the present invention.
Fig. 2 is the wire frame representation and anamorphotic system module map of body structure threedimensional model of the present invention.
Specific embodiment
In order to make the object, technical scheme and advantages of the embodiment of the invention clearer, below in conjunction with the embodiment of the present invention
In attached drawing, technical scheme in the embodiment of the invention is clearly and completely described, it is clear that described embodiment is
A part of the embodiment of the present invention, instead of all the embodiments.Based on the embodiments of the present invention, those of ordinary skill in the art
Every other embodiment obtained without making creative work, shall fall within the protection scope of the present invention.
As shown in Figure 1, wire frame representation and the deformation method of a kind of body structure threedimensional model, include the following steps:
S1, the subgraph model for extracting beam in vehicle body threedimensional model to be analyzed, board member；
S2, extracted each subgraph model assembling is obtained according to the connection relationship of beam, board member in body structure
Initial graph model corresponding with body structure；
S3, initial graph model is reduced to wire-frame model, the wire-frame model by initial graph model vertex set
And indicate that the straightway collection of vertex connection relationship is combined into；
S4, by the grid deforming method based on Laplce's coordinate, complete the deformation of the wire-frame model；
S5, pass through the deformation method based on radial basis function, the wire-frame model of input deformation front and back, completion vehicle body knot
The deformation of structure threedimensional model.
Wire-frame model is indicated by graph model, is denoted as G={ V, E }, wherein V indicates each in V for vertex set, the E of graph model
The connection relationship on vertex connects two adjacent vertexs using straightway.
Body structure is generally made of beam, board member.For this feature, it is corresponding to extract beam, board member respectively first
Extracted subgraph model is assembled, is obtained corresponding with body structure then according to the connection relationship of each component by subgraph model
Graph model.
In step S1, the subgraph model of beam is extracted by automatic or manual mode, wherein in extracted beam
Heart line meets following relationship:
Each beam has a center line to be corresponding to it, and the center line through beam and should pass through as far as possible
Each cross-section center point of component；
The link position of multiple beams, i.e. junction portion are indicated by the intersection point of a plurality of center line corresponding with beam；
Above-mentioned center line is indicated using broken line, obtain one group of vertex set and connects the straight flange set on vertex.
Broken line indicates to include but is not limited to directly to sample broken line, the parameter for approximated centerlines that center line obtains
The controlling polygon of curve.User can be inserted into new summit further according to design requirement for broken line.
Obtain one group of vertex set V={ viAnd connection vertex straight flange set E={ eij, constitute corresponding beam
Subgraph.
A certain beam subgraph should be single order flow pattern, i.e., in addition to boundary point, in subgraph any vertex must there are two consecutive points,
And above-mentioned two consecutive points do not adjoin each other.
Extract board member subgraph model include:
S101, the boundary curve for extracting board member model；
S102, M data point is up-sampled in boundary curve, and the N inside board member is calculated by K-MEANS algorithm
A sampled point；
S103, a using M on boundary curve and the N number of sampling data point in board member inside is as the defeated of Voronoi subdivision method
Enter, subdivision board member region obtains multiple subregion Si；
Si={x|d(x,vi) < d (x, vj),i≠j} (1)
In formula,d(x,vi) be x and v point-to-point transmission Euclidean distance, viAnd vjData point is sampled for any two
S104, according to the syntople of the resulting subregion of subdivision, using the corresponding sampling in straight flange connection adjacent subarea domain
Data point constitutes the subgraph of corresponding board member.
Suitable M and N value is selected, guarantees that the subgraph model of board member model is second order flow pattern.
Step S2, in S3, wire-frame model is constructed in the following way:
S21, the subgraph of certain beam is set as Gb, board member subgraph adjacent thereto is Gp.According to the adjoining of beam, board member
Relationship establishes the connection relationship of subgraph Gb and Gp inner vertex, assembles Gb and Gp.
S22, all subgraphs are assembled, obtains initial graph model G, which can effectively indicate each structure in body structure
The connection relationship of part.
It need to be further simplified resulting graph model G, and gained graph model will be simplified and be known as wire frame representation, so as to subsequent meter
It calculates.
Firstly, by vertex classification each in graph model, wherein the intersection point of multiple (three or three or more) components is second level top
Point, the vertex for constituting initial wire-frame model convex closure are known as level-one vertex, remaining vertex is known as zero level vertex.It should ensure that any straight flange
At most contain only a second level vertex.
Secondly, pressing following rules, simplify graph model G
1) user specifies a length threshold T, if the length of a certain straight flange is greater than threshold value T, does not operate；
2) otherwise:
If two vertex grades that 2a) straight flange is connected are identical, the straight flange is deleted, a new summit is introduced and changes line
The connection relationship of frame model, wherein introduced new summit coordinate position is the average value on two vertex that straight flange is connected；
2b) otherwise, then the straight flange is deleted, a new summit is introduced and changes the connection relationship of wire-frame model, wherein is drawn
The new summit coordinate position entered is identical as the position on the higher vertex of straight flange middle grade；
2c) wherein, it introduces a new summit and changes the connection relationship of wire-frame model and handled by following processes: by straight flange two
The adjacent vertex on vertex is connected with the new summit of introducing.
3) iterate above-mentioned steps, until the length of no straight flange is less than T.
Finally, simplified graph model G is simplified as the wire frame of threedimensional model indicates.
In the step S4, the wire-frame model of deformation is obtained by the following method:
User need to interact deformed region and fixed area in specified wire-frame model, then remaining region is driven region,
Change in shape occurs according to deformed region and fixed area.The deformation in wire-frame model, fixed area are referred to as deformation, fix respectively
Subgraph, because the graph model that these regions are made of vertex and straight flange indicates；Driven region is referred to as driven subgraph.
The deformation of driven subgraph is solved, according to deformation subgraph and fixed subgraph to obtain the overall deformation of wire-frame model.It presses
Following step calculates the deformation of driven subgraph:
1) according to the body structural member of each vertex correspondence in driven subgraph and affiliated flow structure, (beam is single order
Flow pattern, board member are second order flow pattern), driven subgraph is divided into multiple flow pattern subgraphs.
2) grid deforming method based on Laplce's coordinate is used, the change for forming each flow pattern subgraph of driven subgraph is calculated
Shape, as described in following formula:
Wherein, LkFor the Laplace operator of k rank flow pattern, δ=LkV is that the Laplce of each vertex v in k rank flow pattern subgraph sits
Mark.The incidence relation on graph model vertex is established using Laplace operator and transmits deformation.(i, j) indicates vertex viAnd vjFor not
With the shared vertex of flow pattern subgraph, it is desirable that the position indifference on shared vertex.This is because adjacent flow pattern subgraph must have it is shared
Vertex connect, should require to deform in driven subgraph and keep the consistency of shared vertex position in solution procedure.Set C is
The vertex set shared with deformation subgraph, fixed subgraph in driven subgraph, thus by driven subgraph with deformation subgraph, stator
The shared vertex of figure guarantees that deformation result meets the design requirement of body structure deformation as deformation constraint condition.
3) deformed deformation subgraph, driven subgraph and fixed subgraph are assembled according to shared vertex, is obtained deformed
Wire-frame model.
The deformation method of the step S5 body structure threedimensional model is as follows:
S51, by vertex { v all in the wire-frame model G before deformationiBasic point as RBF deformation method, and calculate deformation
The deformation vector d on each vertex of front and back wire-frame modeli=vi′-vi。
S52, any spatial point x deformation vector can be calculated as follows according to RBF method:
In formula, | x-vi| it is spatial point x to RBF basic point viEuclidean distance, φ is radial basis function, wiFor RBF basic point vi
Locate the weight coefficient of radial basis function.Optional RBF basic function is common knowledge, can pass through literature search.
dland,2006)。
3) it due to above-mentioned weight without information, need to be calculated according to the interpolation of RBF method.Enable x=vj, there is following formula establishment,
Wherein, vjFor a certain RBF basic point.Therefore the weight coefficient w at each RBF basic point can be solved according to above formulai。
It brings the grid vertex of threedimensional model into formula, the deformation vector on threedimensional model vertex can be calculated.These are become
Shape vector adds to grid vertex, then can get the deformation result of threedimensional model.
A kind of wire frame representation and anamorphotic system of body structure threedimensional model, comprising:
Spirte model construction unit, for extracting the subgraph of the beam in vehicle body threedimensional model to be analyzed, board member
Model；
Initial graph model construction unit constructs initial graph model for assembling extracted each subgraph model；
Wire-frame model construction unit simplifies recombination, structure for carrying out the vertex set of initial graph model, straightway set
Build wire-frame model；
Wire-frame model deformation unit, for carrying out deformation process to the wire-frame model；
Body structure three-dimensional model deformation unit.
Finally, it should be noted that the above embodiments are only used to illustrate the technical solution of the present invention., rather than its limitations；To the greatest extent
Pipe present invention has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that: its according to
So be possible to modify the technical solutions described in the foregoing embodiments, or to some or all of the technical features into
Row equivalent replacement；And these are modified or replaceed, various embodiments of the present invention technology that it does not separate the essence of the corresponding technical solution
The range of scheme.
Claims (7)
1. wire frame representation and the deformation method of a kind of body structure threedimensional model characterized by comprising following steps:
S1, the subgraph model for extracting beam in vehicle body threedimensional model to be analyzed, board member；
S2, according to the connection relationship of beam, board member in body structure, extracted each subgraph model is assembled, is obtained and vehicle
The corresponding initial graph model of body structure；
S3, initial graph model is reduced to wire-frame model, the wire-frame model by initial graph model vertex set and
Indicate that the straightway collection of vertex connection relationship is combined into；
S4, by the grid deforming method based on Laplce's coordinate, complete the deformation of the wire-frame model；
S5, pass through the deformation method based on radial basis function, the wire-frame model of input deformation front and back, completion body structure three
The deformation of dimension module.
2. wire frame representation and the deformation method of body structure threedimensional model according to claim 1, which is characterized in that step
In S1, the subgraph model of beam is extracted by automatic or manual mode, wherein the center line of extracted beam meets as follows
Relationship:
Each beam has a center line to be corresponding to it, and the center line should be through beam and each transversal by component
Face central point；
The link position of multiple beams is made of the intersection point of a plurality of center line corresponding with beam；
Above-mentioned center line is indicated using broken line, obtain one group of vertex set and connects the straight flange set on vertex.
3. wire frame representation and the deformation method of body structure threedimensional model according to claim 1, which is characterized in that step
In S1, the subgraph model for extracting board member includes:
S101, the boundary curve for extracting board member model；
S102, data point is up-sampled in boundary curve, and the sampling offset inside board member is calculated by K-MEANS algorithm
Point；
S103, using the sampling data point on boundary curve and inside board member as the input of Voronoi subdivision method, subdivision plate
Component region obtains multiple subregions；
S104, according to the syntople of the resulting subregion of subdivision, using the corresponding sampling offset in straight flange connection adjacent subarea domain
Point constitutes the subgraph of corresponding board member.
4. wire frame representation and the deformation method of body structure threedimensional model according to claim 1, which is characterized in that step
In S2, S3, wire-frame model is constructed in the following way:
S21, the subgraph that beam is established according to the syntople of beam, board member and board member subgraph inner vertex adjacent thereto
Connection relationship assembles the subgraph and board member subgraph adjacent thereto of beam；
S22, all subgraphs are assembled, obtains initial graph model；
S31, respectively by the vertex classification in initial graph model, wherein three or three using the intersection point of upper member as second level vertex,
The vertex for constituting initial wire-frame model convex closure is level-one vertex, remaining vertex is zero level vertex；
S32, setting length threshold values, while guaranteeing that any straight flange at most contains a second level vertex, by the following method, simplify initial
Graph model:
If the length of S321, a certain straight flange is greater than the threshold value, do not operate；
If the length of a certain straight flange is not more than the threshold value, make the following judgment:
When two vertex grades that straight flange is connected are identical, then the straight flange is deleted, a new summit is introduced and changes wire-frame model
Connection relationship, wherein introduced new summit coordinate position is the average value on two vertex that straight flange is connected,
When two vertex grades differences that straight flange is connected, then the straight flange is deleted, a new summit is introduced and changes wire-frame model
Connection relationship, wherein introduced new summit coordinate position is identical as the position on the higher vertex of straight flange middle grade；
S322, the adjacent vertex on two vertex of straight flange is connected with the new summit of introducing；
S323, iterate step S321, S322, and until the length of no straight flange is less than the threshold value, what is be simplified is initial
Graph model, i.e. wire-frame model.
5. wire frame representation and the deformation method of body structure threedimensional model according to claim 1, which is characterized in that
In the step S4, the wire-frame model of deformation is obtained by the following method:
S41, body structural member and affiliated flow structure according to each vertex correspondence in driven subgraph, driven subgraph is divided into
Multiple flow pattern subgraphs,
Wherein, the driven subgraph is other regions in wire-frame model in addition to deformed region and fixed area,
The flow structure includes the beam subgraph as single order flow pattern and the board member subgraph as second order flow pattern；
S42, the deformation for forming each flow pattern subgraph of driven subgraph is calculated by the grid deforming method of Laplce's coordinate,
Wherein, LkFor the Laplace operator of k rank flow pattern, δ=LkV is Laplce's coordinate of each vertex v in k rank flow pattern subgraph,
(i, j) indicates vertex viAnd vjFor the shared vertex of different flow pattern subgraphs, set C be in driven subgraph with deformation subgraph, stator
The shared vertex set of figure；
S43, deformed deformation subgraph, driven subgraph and fixed subgraph are assembled according to shared vertex, obtains deformed line
Frame model.
6. wire frame representation and the deformation method of body structure threedimensional model according to claim 1, which is characterized in that described
The deformation method of step S5 body structure threedimensional model is as follows:
S51, by the wire-frame model before deformation, i.e. all vertex { v in wire-frame model in step S3iBecome as radial basis function
The basic point of shape method calculates the deformation vector on deformation front and back each vertex of wire-frame model:
di=vi′-vi；
S52, the deformation vector that any spatial point x is calculated by following formula:
Wherein, | x-vi| it is spatial point x to RBF basic point viEuclidean distance, φ is radial basis function, wiFor RBF basic point viLocate diameter
To the weight coefficient of basic function,
Calculate the weight coefficient:
Enable x=vj, obtain dj=∑iwiφ(|vj-vi|)=∑iwiφji
Wherein, vjFor a certain RBF basic point.Therefore the weight coefficient w at each RBF basic point can be solved according to above formulai；
S53, the grid vertex of threedimensional model is brought to the deformation vector calculation formula in S52 into, calculates the change on threedimensional model vertex
The deformation vector is added to grid vertex, obtains the deformation result of threedimensional model by shape vector.
7. a kind of wire frame representation and anamorphotic system of body structure threedimensional model characterized by comprising
Spirte model construction unit, for extracting the subgraph model of the beam in vehicle body threedimensional model to be analyzed, board member；
Initial graph model construction unit constructs initial graph model for assembling extracted each subgraph model；
Wire-frame model construction unit simplifies recombination for carrying out the vertex set of initial graph model, straightway set, constructs line
Frame model；
Wire-frame model deformation unit, for carrying out deformation process to the wire-frame model；
Body structure three-dimensional model deformation unit.
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