CN105302927A - Method for building spatial grid structure by any curved surface - Google Patents
Method for building spatial grid structure by any curved surface Download PDFInfo
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- CN105302927A CN105302927A CN201410252805.5A CN201410252805A CN105302927A CN 105302927 A CN105302927 A CN 105302927A CN 201410252805 A CN201410252805 A CN 201410252805A CN 105302927 A CN105302927 A CN 105302927A
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Abstract
A method for building a spatial grid structure by any curved surface is provided. The method comprises the steps of: receiving a three-dimensional curved surface imported by a user and a spatial grid model parameter set by the user, wherein the three-dimensional curved surface comprises a plane, a regular curved surface (a ruled surface and a curved surface), and a RURBS curved surface, and the grid model parameter comprises numbers Nu and Nv of divisions in directions of U and N and a grid thickness h; subdividing the three-dimensional surface into Nu*Nv small curved surfaces, organizing intersection point coordinates of U and V lines according to tree-shaped data, and connecting every two to acquire a first wire layer; obtaining a point that is on the three-dimension surface and is closest to a geometric center point of the small surfaces, moving the point by h in a normal direction of the three-dimension surface, and forming a pyramid by using the moved point as a vertex, to obtain a grid web layer; and organizing the vertex of the pyramid according to the tree-shaped data, and connecting every two to form a second wire layer. According to the method for building a spatial grid structure by any curved surface, a spatial grid structure can be built according to any curved surface, which helps modeling of a spatial grid (net, mesh shell) structural design.
Description
Technical field
The present invention relates to a kind of modeling method, especially for a kind of arbitrary surface sets up the method for spatial mesh structure.
Background technology
In steel building, along with people are to the continuous pursuit of construction aesthetic perception, graceful architectural image continues to bring out, wherein is no lack of the building of various surface modeling, in these buildings, have and adopt spatial mesh structure greatly, it is a kind of structure coupled together by node according to certain regular geometric figure by many rod members, and spatial mesh structure comprises grid structure and latticed shell structure.The computation model of space structure must be the line model connected by straight-line pass node, the curved surface provided in the face of architect or the curved surface set up according to building control point, what structural engineer's first step will complete is exactly set up the line model meeting curved surface and require, current modeling does not have good method, cause workload large, the line model of foundation is undesirable.
Summary of the invention
In view of above content, a kind of arbitrary surface must be found to set up the method for spatial mesh structure.
Arbitrary surface sets up a method for spatial mesh structure, and can set up spatial mesh structure according to arbitrary surface, the method comprises the following steps:
A () receives the three-dimension curved surface of user's importing and the space lattice model parameter of user's setting, described three-dimension curved surface comprises plane (special curved surface), ruled surface (ruled surface and bent line curved surface), RURBS curved surface, and described wire frame model parameter comprises U, V direction lattice number (Nu, Nv), rack thickness.B (), according to U, V direction grid number Nu, Nv, carried out by importing curved surface being subdivided into Nu*Nv little curved surface, U, V line intersecting point coordinate data press tree data tissue, and straight line connects the point that adjacent sets weaves between two, form first string layer.C () tries to achieve the geometric center point of Nu*Nv little curved surface respectively, try to achieve the closest approach with geometric center point on former importing curved surface.D () receives space lattice thickness data h, closest approach is moved h along the normal direction importing three-dimension curved surface, obtains new summit.E (), with new summit for pyramid summit, corresponding little curved surface angle point is that bottom surface point forms pyramid, and the limit be connected with summit is rack stern layer.F tree data tissue is pressed in pyramid summit by (), straight line connects the point that adjacent sets weaves between two, forms the second string layer.
The method that curved surface of the present invention sets up spatial mesh structure can set up spatial mesh structure according to arbitrary surface, brings facility to building line model in steel construction space lattice (rack, net shell) design process.
Accompanying drawing explanation
Fig. 1 is Arbitrary 3 D curved surface;
Fig. 2 is the applied environment figure that arbitrary surface of the present invention sets up the method preferred embodiment of spatial mesh structure;
Fig. 3 is the main flow chart that arbitrary surface of the present invention sets up the method preferred embodiment of spatial mesh structure;
Fig. 4 is the method first string layer schematic diagram that arbitrary surface of the present invention sets up spatial mesh structure;
Fig. 5 is the method stern layer schematic diagram that arbitrary surface of the present invention sets up spatial mesh structure;
Fig. 6 is the method second string layer schematic diagram that arbitrary surface of the present invention sets up spatial mesh structure;
Fig. 7 is the detailed step figure of step S302 in Fig. 3;
Fig. 8 is the tree data schematic diagram of step S704 in Fig. 7;
Fig. 9 is the tree data schematic diagram of step S705 in Fig. 7;
Figure 10 is the spatial mesh structure schematic diagram after setting up;
Embodiment
Consulting shown in Fig. 2, is the applied environment signal that a kind of arbitrary surface of the present invention sets up the method preferred embodiment of spatial mesh structure.The database 4 that this running environment mainly comprises database 1, the main frame 2 be connected with database 1, the display device 3 be connected with main frame 2 and is connected with display device 3.Database 1 is for storing three-dimension curved surface.Main frame 2 sets up spatial mesh structure program 20 for running arbitrary surface, this arbitrary surface is set up spatial mesh structure program 20 and is received three-dimension curved surface that user imports from database 1 and the spatial mesh structure parameter (U and V direction lattice number Nu and Nv, space lattice thickness) that user is arranged, U and V direction lattice number Nu and Nv arranged according to user and space lattice thickness carry out the modeling of space lattice, obtain the line model meeting curved surface requirement.Display device 3 provides a display interface, for the spatial mesh structure line model of the three-dimension curved surface and foundation that show importing.Database 4 for storing the spatial mesh structure line model interface data of derivation, for follow-up spatial mesh structure analytical calculation.
As shown in Figure 3, be the main flow chart that a kind of arbitrary surface of the present invention sets up the method preferred embodiment of spatial mesh structure.
Step S301 receives three-dimension curved surface that user imports from database 1 and is presented at display device 3, this three-dimension curved surface comprises plane (special curved surface), ruled surface (ruled surface and bent line curved surface), RURBS curved surface, as shown in Figure 1, three-dimension curved surface can pass through the three-dimensional softwares such as rhinoceros (Rhino), AutoCAD or 3DMAX and set up, and repeats no more here.
Step S302 receives the space lattice model parameter that user is arranged, and described space lattice model parameter comprises U, V direction lattice number (Nu, Nv) and space lattice thickness.According to U, V direction grid number Nu, Nv, importing curved surface is carried out be subdivided into Nu*Nv little curved surface, in infinitesimal geometry, the representation of a surface is become the vector function of two-parameter u and v
p＝p(u，v)
Correspondingly, curved surface mostly adopts the special vector function form of the one of basis representation
Wherein,
(i=0,1 ..., m) being take u as one group of basis function of variable,
(j=0,1 ..., n) being take v as one group of basis function of variable.Both for defining curve, respectively get the product of one composition, just obtaining for what define curved surface is bivariant one group of basis function with u and v, α
ijfor coefficient vector.Visible, U, V line of curved surface is necessary being, can be obtained U, V line of curved surface, repeat no more here by softwares such as rhinoceros (Rhino) or AutoCAD.
U, V line intersecting point coordinate data press tree data tissue, and straight line connects the point that adjacent sets weaves, and form first string layer line model, if Fig. 4, a are first string layer straight line.
Step S303, tries to achieve the geometric center point of Nu*Nv little curved surface respectively, tries to achieve the closest approach with geometric center point on former importing curved surface, and all closest approaches form array.
Step S304, receive space lattice thickness data h, closest approach is moved h along the normal direction importing three-dimension curved surface, obtains new summit, all summits form array.
Step S305, with new summit for pyramid summit, corresponding little curved surface angle point is that bottom surface point forms pyramid, and the pyramid limit be connected with summit is space lattice stern layer, if Fig. 5, b are stern layer straight line.
Step S306, by pyramid summit with Nv value for section, carry out tree data tissue, a total Nu array, there is Nv point in each array, keep data structure constant, data are passed one backward, form new some group, distinguish line between two, form the line mould in V direction; Repeat to pass and line between two after U, V conversion, form the line mould in V direction, specifically to implement with reference to step S302.Form the second string layer line mould, if Fig. 5, c are the second string layer straight line.
As shown in Figure 7, be the detailed step figure of Fig. 3 step S302.
Step S701, receive U, V direction grid number Nu, Nv, such as Nu=4, Nv=3, namely U direction grid number is 4, V direction grid number is 3.
Step S702, is subdivided into Nu*Nv little curved surface, is namely divided into 12 little curved surfaces by the three-dimension curved surface of reception.
Step S703, tries to achieve the intersection point of U, V line, u and V direction grid number is 4 and 3 respectively, then the number of the point in U and V direction is respectively 5 and 4, and intersection point is altogether 20.
Step S704, carries out tree data tissue by intersection point, and Organization of Data as shown in Figure 8,801 is " trunk " data, and data amount check is that 5 (Nu+1) are individual, and 802 is " leaf " data, each " trunk " has 4 (Nv+1) sheet " leaf ", point is respectively PointV
(0 ~ 3).
Step S705, intersection point tree data is carried out U, V conversion, Organization of Data is as shown in Figure 9,901 is " trunk " data, and data amount check is that 4 (Nv+1) are individual, and 902 is " leaf " data, each " trunk " has 5 (Nu+1) sheet " leaf ", point is respectively PointU
(0 ~ 4).
Step S706, keeps data structure constant, data is passed one backward, forms new some group, be respectively PointV
(1 ~ 3)and PointU
(1 ~ 4).
Step S707, between two line, i.e. PointV
(0 ~ 3)with PointV
(1 ~ 3)distinguish line between two, form the line model in V direction; PointU
(0 ~ 4)with PointU
(1 ~ 4)distinguish line between two, form the line mould in U direction, final graphics is as Fig. 4.
Figure 10 is the schematic diagram after three-dimension curved surface sets up spatial mesh structure, and in figure, a is first string layer straight line, and b is stern layer straight line, and c is the second string layer straight line.
It should be noted last that, above embodiment is only in order to illustrate technical scheme of the present invention and unrestricted, although with reference to preferred embodiment, the present invention is described in detail, those of ordinary skill in the art is to be understood that, can modify to technical scheme of the present invention or equivalent replacement, and not depart from the spirit and scope of technical solution of the present invention.
Claims (4)
1. arbitrary surface sets up a method for spatial mesh structure, curved surface can be split by designing requirement, sets up the line model of spatial mesh structure, and for Structure Calculation, it is characterized in that, the method comprises the following steps:
A () receives the three-dimension curved surface of user's importing and the space lattice model parameter of user's setting, described three-dimension curved surface comprises plane (special curved surface), ruled surface (ruled surface and bent line curved surface), RURBS curved surface, and described space lattice model parameter comprises U, V direction lattice number (Nu, Nv), space lattice thickness.
B (), according to U, V direction grid number Nu, Nv, carried out by importing curved surface being subdivided into Nu*Nv little curved surface, U, V line intersecting point coordinate data press tree data tissue, and straight line connects the point that adjacent sets weaves, and form first string layer.
C () tries to achieve the geometric center point of Nu*Nv little curved surface respectively, try to achieve the closest approach with geometric center point on former importing curved surface.
D () receives space lattice thickness data h, closest approach is moved h along the normal direction importing three-dimension curved surface, obtains new summit.
E (), with new summit for pyramid summit, corresponding little curved surface angle point is that bottom surface point forms pyramid, and the pyramid limit be connected with summit is space lattice stern layer.
F tree data tissue is pressed in pyramid summit by (), straight line connects the point that adjacent sets weaves, and forms the second string layer.
2. a kind of arbitrary surface as described in 1 sets up the method for spatial mesh structure, it is characterized in that, described step (b) comprises the following steps:
(b1) Nu*Nv is integer, and U, V line of curved surface is necessary being, can be obtained U, V line of curved surface by softwares such as rhinoceros (Rhino) or AutoCAD.
(b2) U, V line intersecting point coordinate is organized with tree data, namely has Nu+1 array, has Nv+1 point in each array.
(b3) by Nv+1 some PointV
(0 ~ n)the array formed passes one backward, and forming new array is PointV
(1 ~ n), with PointV
(0 ~ n)for starting point, PointV
(0 ~ n)as terminating point, pairing connects straight line respectively, forms the line segment model in V direction.
(b4) in step (b), angle point tree data U, V fall on top, repeat the line segment model that step (b3) obtains U direction.
(b5), after step b3, b4 complete, first string layer line model has just been built up.
3. a kind of arbitrary surface as described in 1 sets up the method for spatial mesh structure, it is characterized in that, in described step (c), try to achieve the space lattice thickness h former importing curved surface being with the object of geometric center point closest approach the height of the pyramid that step (e) is formed equals step (d) and receives.
4. a kind of arbitrary surface as described in 1 sets up the method for spatial mesh structure, it is characterized in that, described step (f) comprises the following steps:
(f1) pyramid summit is with Nv value for section, carries out tree data tissue, and a total Nu array, has Nv pyramid summit in each array.
(f2) the second string layer line model is obtained with reference to b3, b4.
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Cited By (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105975655A (en) * | 2016-04-26 | 2016-09-28 | 中铁四局集团第三建设有限公司 | BIM-based parametric modeling method for imitated Tang and Song dynasty ancient building special-shaped roof tiles |
| CN106599463A (en) * | 2016-12-14 | 2017-04-26 | 浙江精工钢结构集团有限公司 | Free-form surface-based parametric modeling method of space grid structure |
| CN109165445A (en) * | 2018-08-24 | 2019-01-08 | 中建中原建筑设计院有限公司 | Space net shell parametric modeling method based on grasshopper |
| CN109446611A (en) * | 2018-10-17 | 2019-03-08 | 辽宁工程技术大学 | A kind of close coupling tree looks for shape optimum design method |
| CN111070721A (en) * | 2019-12-12 | 2020-04-28 | 航天特种材料及工艺技术研究所 | Flexible curved surface foam structure and paving method thereof |
| CN111395532A (en) * | 2020-03-30 | 2020-07-10 | 中铁二局第一工程有限公司 | Installation and construction method for large-span half-opening elliptical spherical reticulated shell |
Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101383047A (en) * | 2007-09-03 | 2009-03-11 | 鸿富锦精密工业（深圳）有限公司 | Curved surface meshing method |
| CN101739723A (en) * | 2010-01-19 | 2010-06-16 | 上海现代建筑设计(集团)有限公司 | Intelligent layout method for free curved surface network |
| EP2339487A2 (en) * | 2008-09-03 | 2011-06-29 | Airbus Operations S.L. | Method and system for adapting a multi-block structured mesh of an object to a modification in its geometry |
| CN102306396A (en) * | 2011-09-15 | 2012-01-04 | 山东大学 | Three-dimensional entity model surface finite element mesh automatic generation method |
| CN103559740A (en) * | 2013-08-26 | 2014-02-05 | 空气动力学国家重点实验室 | Prismatic grid generation method with realization of interactive operation |
-
2014
- 2014-05-28 CN CN201410252805.5A patent/CN105302927A/en active Pending
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101383047A (en) * | 2007-09-03 | 2009-03-11 | 鸿富锦精密工业（深圳）有限公司 | Curved surface meshing method |
| EP2339487A2 (en) * | 2008-09-03 | 2011-06-29 | Airbus Operations S.L. | Method and system for adapting a multi-block structured mesh of an object to a modification in its geometry |
| CN101739723A (en) * | 2010-01-19 | 2010-06-16 | 上海现代建筑设计(集团)有限公司 | Intelligent layout method for free curved surface network |
| CN102306396A (en) * | 2011-09-15 | 2012-01-04 | 山东大学 | Three-dimensional entity model surface finite element mesh automatic generation method |
| CN103559740A (en) * | 2013-08-26 | 2014-02-05 | 空气动力学国家重点实验室 | Prismatic grid generation method with realization of interactive operation |
Cited By (10)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105975655A (en) * | 2016-04-26 | 2016-09-28 | 中铁四局集团第三建设有限公司 | BIM-based parametric modeling method for imitated Tang and Song dynasty ancient building special-shaped roof tiles |
| CN105975655B (en) * | 2016-04-26 | 2018-12-28 | 中铁四局集团第三建设有限公司 | A kind of imitative Tang and Song Dynasty ancient architecture abnormity roofing tile parametric modeling method based on BIM |
| CN106599463A (en) * | 2016-12-14 | 2017-04-26 | 浙江精工钢结构集团有限公司 | Free-form surface-based parametric modeling method of space grid structure |
| CN109165445A (en) * | 2018-08-24 | 2019-01-08 | 中建中原建筑设计院有限公司 | Space net shell parametric modeling method based on grasshopper |
| CN109446611A (en) * | 2018-10-17 | 2019-03-08 | 辽宁工程技术大学 | A kind of close coupling tree looks for shape optimum design method |
| CN109446611B (en) * | 2018-10-17 | 2022-09-27 | 辽宁工程技术大学 | Shape finding optimization design method for strong coupling tree-shaped structure |
| CN111070721A (en) * | 2019-12-12 | 2020-04-28 | 航天特种材料及工艺技术研究所 | Flexible curved surface foam structure and paving method thereof |
| CN111070721B (en) * | 2019-12-12 | 2022-03-15 | 航天特种材料及工艺技术研究所 | Flexible curved surface foam structure and paving method thereof |
| CN111395532A (en) * | 2020-03-30 | 2020-07-10 | 中铁二局第一工程有限公司 | Installation and construction method for large-span half-opening elliptical spherical reticulated shell |
| CN111395532B (en) * | 2020-03-30 | 2021-09-03 | 中铁二局第一工程有限公司 | Installation and construction method for large-span half-opening elliptical spherical reticulated shell |
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