CN104331932B - Freeform surface building grid division method based on self-defined element method - Google Patents
Freeform surface building grid division method based on self-defined element method Download PDFInfo
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Abstract
The invention discloses a freeform surface building grid division method based on a self-defined element method. According to the grid division method, grid nodes serve as objects to advance. The method comprises steps of determining a node advancing parameter direction, defining, selecting and assembling grid units and mapping parameter grids. As for determining of the node advancing parameter direction, the parameter direction with obvious surface shape feature changes is selected to serve as the node advancing direction. As for defining, selecting and assembling of the grid units, self definition of grid units are carried out in a parameter domain, unit selection and assembly are carried out according to the surface features, and node parameter coordinates and topology information are determined. The parameter grids are mapped to the freeform surface to form a space grid. According to the method of the invention, the building grids of any complicated freeform surfaces can be automatically divided, the generated grids have various forms and uniform size, aesthetic demands and visual effects of the building can be met, the method is flexible and controllable, and universality is strong.
Description
Technical field
The invention belongs to stress and strain model field, more particularly to a kind of building grid of free form surface NURBS model is automatic
Change division methods.
Background technology
In recent years, the raising of the development with building design and construction level and people's esthetic requirement, regular, traditional curved surface
Form cannot meet the requirement to architectural image for the people, and the free form surface network that construction is novel, the lines flow smoothly is increasingly subject to
To architect's favor.Due to this class formation curved surface freely, complicated and changeable, traditional rod member method for arranging is in the face of this class formation
Have too many difficulties to cope with.Therefore, how to carry out rational stress and strain model is that can this class formation be realized and whether architectural image is attractive in appearance, ties
The whether excellent key of structure performance.
At present, free form surface building Meshing Method is roughly divided into manual methods and divides and Finite Element Method division two
Kind.Manual division methods refer to that engineer, by geometric modeling software, for specific engineering, is divided using manual type,
Its efficiency is low, poor universality, relies on engineering staff's design experiences it is difficult to as current techique method large-scale promotion.Finite element
Method by traditional Fintie Element Mesh Generation Technology, stress and strain model that building curved surface is automated, but due to building
Grid and the otherness of FEM meshing requirement, carry out building stress and strain model with Finite Element Method merely and often result in section
The problems such as point is unordered, grid is uneven is it is impossible to the aesthetics of architecture meeting grid uniformly smooth requires.
Content of the invention
The deficiency existing for above-mentioned existing method, present invention offer is a kind of to be built based on the free form surface of self-defined elements method
Build grid automation division methods.
Free form surface building Meshing Method based on self-defined elements method comprises the following steps：
1）Node propulsive parameter direction is determined according to free-form surface designing, selects curved surface features to change obvious parametric direction
As node direction of propulsion, unconspicuous free form surface is changed to curved surface features, node direction of propulsion can edgeuTo,vTo or parameter
The either direction of domain diagonal is carried out；
2）According to carrying out parameter field building grid cell definition for node Evolution up and down, define " mitogenetic " respectively " altogether
Raw " parameter field building grid cell, determine parameter field building network topology type, abundant parameter field builds grid configuration；
3）Determine with for node place parameter line, nstep is counted according to node propulsion step by step, takes nstep+1 datum mark edge
Step 1）Node direction of propulsion place parameter line is layouted, and circulates point coordinates in the middle of adjustment datum mark using dichotomy, makes each adjacent
Distance of curved surface under Riemann metric for the datum mark is equal, determines datum mark parameter coordinate, with step 1 at each datum mark place）Section
The Orthogonal Parameter line of point direction of propulsion is each with for node place parameter line；
4）Start node quantity is self-defined as parameter field building grid scale parameter, and start node is along step 3）Determine
Arrange with for node place parameter line, and adopt step 3）Same way adjustment node parameter coordinate, makes start node adjacent segments
Between point, distance of curved surface is equal；
5）Parameter field building grid cell node propulsion, forms parameter field building grid；
6）Mapping has topological invariance, step 5）In parameter field building mesh mapping before and after topological novariable, by parameter
Domain building mesh point coordinate substitutes into NURBS model, obtains free form surface building grid.
Described step 1）For：By the way of mapping after the first parameter field stress and strain model, determine node in parameter field first
Direction of propulsion, for ensureing the uniformity of free form surface building stress and strain model, to curved surface features change, obvious free form surface selects
Curved surface features change obvious parametric direction as node direction of propulsion, and curved surface features are changed with unconspicuous free form surface, section
Point direction of propulsion can edgeuTo,vTo or the either direction of parameter field diagonal carry out；
Described step 5）For：Node advances along step 1）The node direction of propulsion determining is carried out, and advances step in each node
In, automatically select step 2 according to curved surface features）Defined parameter field builds grid cell form：Free form surface " extends "
When, select " mitogenetic " unit, during free form surface " contraction ", select " symbiosis " unit.Build the choosing of grid cell by parameter field
Select, increased and decreased for interstitial content up and down, thus realizing parameter field building Mesh expansion and contraction.Node and rod member order are compiled
Number, grid cell topology information is built using scolus matrix recording parameters domain；With for inserting knot in step 3）Determine is same
For on the parameter line of node place, and using and step 4）Same way determines with for node coordinate, the ginseng of each node propulsion step
Number field building grid cell topological matrix is integrated, forms parameter field building network topology matrix, respectively determines for node parameter coordinate,
Finally give parameter field building grid；
Present invention achieves the building grid automation to arbitrarily complicated free form surface divides, generation grid configuration is various,
Uniform in size, meet aesthetic requirement and the visual effect of building, method is flexibly controlled, highly versatile.
Brief description
Fig. 1 is FREEFORM SURFACE MODEL figure；
Fig. 2 is self-defined cell type schematic diagram；
Fig. 3 is unit scolus matrix schematic diagram；
Fig. 4 is Surface Parameters stress and strain model result figure；
Fig. 5 is curved space stress and strain model result figure.
Specific embodiment
Free form surface building Meshing Method based on self-defined elements method comprises the following steps：
1）Node propulsive parameter direction is determined according to free-form surface designing, selects curved surface features to change obvious parametric direction
As node direction of propulsion, unconspicuous free form surface is changed to curved surface features, node direction of propulsion can edgeuTo,vTo or parameter
The either direction of domain diagonal is carried out；
2）According to carrying out parameter field building grid cell definition for node Evolution up and down, define " mitogenetic " respectively " altogether
Raw " parameter field building grid cell, determine parameter field building network topology type, abundant parameter field builds grid configuration；
3）Determine with for node place parameter line, nstep is counted according to node propulsion step by step, takes nstep+1 datum mark edge
Step 1）Node direction of propulsion place parameter line is layouted, and circulates point coordinates in the middle of adjustment datum mark using dichotomy, makes each adjacent
Distance of curved surface under Riemann metric for the datum mark is equal, determines datum mark parameter coordinate, with step 1 at each datum mark place）Section
The Orthogonal Parameter line of point direction of propulsion is each with for node place parameter line；
4）Start node quantity is self-defined as parameter field building grid scale parameter, and start node is along step 3）Determine
Arrange with for node place parameter line, and adopt step 3）Same way adjustment node parameter coordinate, makes start node adjacent segments
Between point, distance of curved surface is equal；
5）Parameter field building grid cell node propulsion, forms parameter field building grid；
6）Mapping has topological invariance, step 5）In parameter field building mesh mapping before and after topological novariable, by parameter
Domain building mesh point coordinate substitutes into NURBS model, obtains free form surface building grid.
Described step 1）For：By the way of mapping after the first parameter field stress and strain model, determine node in parameter field first
Direction of propulsion, for ensureing the uniformity of free form surface building stress and strain model, to curved surface features change, obvious free form surface selects
Curved surface features change obvious parametric direction as node direction of propulsion, and curved surface features are changed with unconspicuous free form surface, section
Point direction of propulsion can edgeuTo,vTo or the either direction of parameter field diagonal carry out；
Described step 5）For：Node advances along step 1）The node direction of propulsion determining is carried out, and advances step in each node
In, automatically select step 2 according to curved surface features）Defined parameter field builds grid cell form：Free form surface " extends "
When, select " mitogenetic " unit, during free form surface " contraction ", select " symbiosis " unit.Build the choosing of grid cell by parameter field
Select, increased and decreased for interstitial content up and down, thus realizing parameter field building Mesh expansion and contraction.Node and rod member order are compiled
Number, grid cell topology information is built using scolus matrix recording parameters domain；With for inserting knot in step 3）Determine is same
For on the parameter line of node place, and using and step 4）Same way determines with for node coordinate, the ginseng of each node propulsion step
Number field building grid cell topological matrix is integrated, forms parameter field building network topology matrix, respectively determines for node parameter coordinate,
Finally give parameter field building grid；
Embodiment 1
Certain free form surface BUILDINGS MODELS, curved surface is as shown in Figure 1.Curved surface size is along parameter fielduDirection rule change, self-defined
Cell type is as shown in Figure 2.
According to curved surface size characteristic, selection parameter domainuDirection is as node direction of propulsion.
Propulsion step number mesh takes 27 steps, obtains each Dai Tongdai node place parameter line.Start node number is defined as 10, edgeu=0 parameter line arrangement, dichotomy circulates adjustment node parameter coordinate, makes the distance of curved surface under start node Riemann metric equal.
The curved surface features select unit type of parameter line position according to residing for up and down for node.During curved surface expansion, automatically select
Select mitogenetic unit and realize the increase of interstitial content of lower generation；When curved surface shrinks, automatically select symbiotic units and realize the contracting of interstitial content of lower generation
Subtract.Each propulsion step selects corresponding units, scolus matrix record node topology information successively, and Riemann metric determines node parameter
Domain geological information, finally gives parametric grid Fig. 4.
Fig. 4 parametric grid is mapped to Fig. 1 free form surface, obtains space lattice Fig. 5, and free form surface building stress and strain model is complete
Become.
The present invention carries out node propulsion with grid node for object, and by start node quantity, node advance step number,
The isoparametric definition of grid cell form, realizes free form surface is built with the quantified controlling of grid scale and form, completes to certainly
Divided by the automation of curved-surface building grid.
Claims (2)
1. a kind of free form surface building Meshing Method based on self-defined elements method is it is characterised in that comprise the following steps：
1）Node propulsive parameter direction is determined according to free-form surface designing, selects curved surface features to change obvious parametric direction conduct
Curved surface features are changed unconspicuous free form surface, node direction of propulsion edge by node direction of propulsionuTo,vTo or parameter field diagonal
The either direction in line direction is carried out；
2）According to carrying out parameter field building grid cell definition for node Evolution up and down, define " mitogenetic ", " symbiosis " respectively
Parameter field builds grid cell, determines parameter field building network topology type, and abundant parameter field builds grid configuration；Wherein：" point
Raw " parameter field building grid cell increase interstitial content of lower generation, " symbiosis " parameter field building grid cell reduction nodes of lower generation
Mesh；
3）Determine with for node place parameter line, nstep is counted according to node propulsion step by step, takes nstep+1 datum mark along step
1）Node direction of propulsion place parameter line is layouted, and circulates point coordinates in the middle of adjustment datum mark using dichotomy, makes each adjacent reference
Distance of curved surface under Riemann metric for the point is equal, determines datum mark parameter coordinate, with step 1 at each datum mark place）Node pushes away
The Orthogonal Parameter line entering direction is each with for node place parameter line；
4）Start node quantity is self-defined as parameter field building grid scale parameter, and start node is along step 3）The same generation determining
Node place parameter line arrangement, and adopt step 3）Same way adjustment node parameter coordinate, makes between start node adjacent node
Distance of curved surface is equal；
5）Parameter field building grid cell node propulsion, forms parameter field building grid；This step is specially：Node propulsion is along step
Rapid 1）The node direction of propulsion determining is carried out, and in each node propulsion step, automatically selects step 2 according to curved surface features）Defined
Parameter field building grid cell form：During free form surface " extension ", select " mitogenetic " unit, during free form surface " contraction ", choosing
Select " symbiosis " unit, building the selection of grid cell by parameter field, being increased and decreased for interstitial content up and down, thus realizing parameter
Domain building Mesh expansion and contraction, node and rod member serial number, build grid cell using scolus matrix recording parameters domain
Topology information；With for inserting knot in step 3）On the same generation node place parameter line determining, and adopt and step 4）Phase Tongfang
Formula determines that the parameter field building grid cell topological matrix of each node propulsion step is integrated, forms parameter field with for node coordinate
Building network topology matrix, respectively determines for node parameter coordinate, finally gives parameter field building grid；
6）Mapping has topological invariance, step 5）In parameter field building mesh mapping before and after topological novariable, parameter field is built
Build mesh point coordinate and substitute into NURBS model, obtain free form surface building grid.
2. a kind of free form surface building Meshing Method based on self-defined elements method according to claim 1, it is special
Levy and be, described step 1）For：By the way of mapping after the first parameter field stress and strain model, determine that node pushes away in parameter field first
Enter direction, for ensureing the uniformity of free form surface building stress and strain model, obvious free form surface selects song to curved surface features change
Region feature changes obvious parametric direction as node direction of propulsion, changes unconspicuous free form surface, node to curved surface features
Direction of propulsion edgeuTo,vTo or the either direction of parameter field diagonal carry out.
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Families Citing this family (5)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN105374068B (en) * | 2015-11-13 | 2018-05-01 | 浙江大学 | The Meshing Method of free form surface network |
| CN107274489A (en) * | 2017-05-09 | 2017-10-20 | 浙江大学 | A kind of guiding collimation method free form surface Meshing Method based on Doubly curved surfaces |
| CN110246573B (en) * | 2019-05-15 | 2021-07-23 | 赛尔科创(深圳)科技有限公司 | Automation method and device for hospital function planning and area calculation and terminal equipment |
| CN112464349B (en) * | 2020-12-08 | 2023-03-10 | 中南建筑设计院股份有限公司 | Single-layer free-form surface space grid optimization method |
| CN117253012B (en) * | 2023-09-18 | 2024-03-19 | 东南大学 | Method for restoring plane building free-form surface grid structure to three-dimensional space |
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| CN102254066A (en) * | 2011-06-30 | 2011-11-23 | 西北工业大学 | Collaborative optimization design method for curved surface shape and pore shape in pored thin-wall curved shell structure |
| CN103678820A (en) * | 2013-12-24 | 2014-03-26 | 中国建筑股份有限公司 | Grid partitioning method used for building structure geometrical information model |
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