CN1644826A - Lattice loading method for treating random distributed load on curved surface - Google Patents

Lattice loading method for treating random distributed load on curved surface Download PDF

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Publication number
CN1644826A
CN1644826A CN 200510023279 CN200510023279A CN1644826A CN 1644826 A CN1644826 A CN 1644826A CN 200510023279 CN200510023279 CN 200510023279 CN 200510023279 A CN200510023279 A CN 200510023279A CN 1644826 A CN1644826 A CN 1644826A
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grid
load
limit
curved surface
space
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CN 200510023279
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Chinese (zh)
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谢靖中
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Shanghai Jiaotong University
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Shanghai Jiaotong University
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Abstract

A load-bearing grid method for treating any load distributed on curved space surface includes such steps as using the 3D view developing method to convert the 3D curved space surface to a 2D view plane, using the view projection planes to form an enclosed grid of curved surface, creating the data about the grid load, and calculating for introducing the distributed load in the enclosed grid region to the peripheral units. Its advantages are simple treatment and high speed.

Description

Handle the grid loading method of any space curved surface distributed load
Technical field
The present invention relates to a kind of method of handling any space curved surface distributed load, specifically is a kind of grid loading method of handling any space curved surface distributed load.Belong to the civil construction project technical field.
Background technology
The load that acts on the civil construction project can be divided into two classes by action mode: a class is the load that directly acts on structure main member beam, post, the wall, as the infilled wall gravity load on the beam; One class is the distributed load that acts on structural maintenance or the non-main bearing member, as building roof load, structural outer surface blast load.Back one class load does not act directly on the structure main member, because in structural calculation, generally not participation structure calculating of non-main bearing member such as general floor, metope need be led these distributed loads on the main members such as calculating beam, post, wall.So simultaneously, because maintenance components such as floor are the support edge with beam, wall, even floor participation structure overall calculation also needs the floor distributed load is led on the primary structure members such as calculating beam, wall.Only at the distributed load of horizontal building roof, prior art all has more perfect processing method.
Processing for the distributed load of space pitched roof, arbitrary surface does not also have perfect method.On the one hand, operate comparatively loaded down with trivial detailsly, need select boundary node respectively single grid.On the other hand, function is comparatively single, can only handle the gravity load of building roof.The distributed load of arbitrary surface is handled problems, and is different from the problem of the surface mesh subdivision in the general finite element.Because in the surface mesh subdivision problem, there is complete geometry to describe for curved surface itself.And there is not truly curved surface in the curved surface of distributed load in the handling grid that to be the limit of planar members such as wire-like members, wall such as spatial beam-column form.And in the practical structures, the member in grid surface is arranged not only, and also have the outer member of grid surface, and these members are spatially crisscross.The geometry of the effectively curved surface at separation distributions load place, and formation curved surface is described, and is the key of handling the curved surface distributed load.
Find through literature search prior art, the paper " the building structure routine analyzer is led the skill of load " that Wang Lixin was delivered on " building structure " 1996 the 2nd phases, wherein related promptly handles at horizontal building roof distributed load.But the distributed load that can not be applicable to arbitrary surface is handled.
Summary of the invention
The objective of the invention is to deficiency at existing building roof, space curved surface distributed load processing method, a kind of grid loading method of handling any space curved surface distributed load is proposed, reach the purpose of two aspects: first, make simplified control, pitched roof, the disposable processing that can realize load of space curved surface; The second, expand the area load processing capacity, make the processing that not only can be used for the building roof gravity load, can also be used for the processing of surperficial blast, surface soil pressure, water pressure.
The present invention is achieved by the following technical solutions, and the present invention as the problem of the distributed force on the space sealing grid of broad sense, and is called the grid load, so be called the grid loading method with the Concept Extension of area load.The step of handling the grid load is as follows:
(1) utilize the view plane of projection to launch the space lattice curved surface
Though the space lattice curved surface has very big arbitrariness, uncertainty, as the computer geometrical model, always can pass through the 3-D view conversion, make space curved surface in view plane, expand into nonoverlapping curved surface.In the two dimension view plane, space curved surface is converted into two dimensional surface like this.
(2) utilize the view plane of projection to form the sealing grid of forming curved surface
According to the view plane two-dimensional coordinate of grid surface, look for and respectively seal grid in the curved surface.Treatment step is as follows:
1), handle the grid limit, reject overlapping limit, reject independent cantilever limit.
2), according to view projection two-dimensional coordinate, since 1 A, look for the limit that is connected with this point in the counterclockwise direction, finish up to getting back to the A point once more, forms one and seals grid.
3), every limit divides forward and reversely, forward is allowed on every limit, oppositely each is looked for the limit once.In once looking for the limit process, if any the equidirectional limit of having been looked for, a limit, then this time looks for the limit process to end.
4), to grid surface the institute repeat top 2 a little), 3) step, find all the sealing grids.
5), in the grid that finds, will comprise the grid that peripheral boundary is formed, judge this grid deletion according to the grid area.Judge the connectedness of curved surface,, delete each regional peripheral meshes respectively the multizone curved surface.
(3) set up the data of grid load
That the data of grid load comprise is separate, two parts are mutually related again:
1), the description of mesh shape.The unit number (or face element sides) on each limit of sealing grid is formed in journal, can describe the shape of grid.Though the formation of grid is according to view projection two-dimensional coordinate, after grid forms, the load grid that obtains according to the real space position on mesh point, limit will be three-dimensional grid.Simultaneously, the direct precedents of the inventive method is saved resource on the one hand as the grid limit, when the deleted change in unit, can in time be reacted on the grid on the other hand.
2), grid load cell.The inventive method is with a kind of special graphic element of grid load action, and this unit has following attribute:
A) pairing grid sequence number;
B) coordinate parameters of self is generally the centre of area of corresponding grid;
C) numerical value of the area load that applies, direction, affiliated operating mode, lead the load parameters such as pattern of calculating load.
(4) load is led calculate the grid peripheral unit
According to closed area, the determined space of load grid (can be similar to and think in the zonule to be the plane), with the load parameter that writes down on the grid load cell, by the pattern of setting, area load in the net region finally led calculate on the peripheral unit, as the line load that directly acts on beam, post, the wall.
The present invention utilizes the view plane of projection to form the load grid of space arbitrary surface, for the space lattice curved surface of complexity, can disposablely choose whole curved face unit to form the geometric data of grid, has significantly improved operating efficiency.
The present invention describes grid load and grid geometric parameter respectively, not only connects each other but also separate.When the grid limit was changed and is imperfect, original grid was deleted, but load cell still exists.Do not change as the mesh shape after changing, as long as form grid once more, new grid promptly is connected to load cell, does not need to import the load parameter in addition, has simplified operation.Shape as a plurality of grids is identical, parameter is identical, can duplicate existing load cell, also omits the operation of input load parameter.
The present invention as a kind of graphic element, has the coordinate parameters of itself with the grid load, makes the grid load can delete as generic graphic, duplicate, move, and makes operation easier.And with the grid load as a kind of independently graphic element, not only can handle general gravity area load, also can on the grid load, apply blast load, water pressure, soil pressure, expanded the scope of application of grid load greatly.As long as the grid load cell forms, can directly add various loads, also greatly facilitate the operating process of these special distribution loads.
Utilize the geometry of the locus of the corresponding grid of grid load cell to describe, can determine normal vector, the tangent vector of space sealing grid, thereby can apply the load relevant with curve form.As perpendicular to the load of curved surface and the load tangent, the function that has also greatly expanded the grid load with curved surface.
Description of drawings
Fig. 1 (a), the pitched roof engineering of a complexity
Fig. 1 (b), the pitched roof engineering of a complexity, launch pitched roof view plane of projection
Fig. 1 (c), the pitched roof engineering of a complexity, the grid load cell (lattice among the figure) that grid loading method of the present invention forms
Fig. 1 (d), the pitched roof engineering of a complexity, grid loading method of the present invention is led line load on the beam that obtains
Fig. 2 (a), a steel truss vaulted work
Fig. 2 (b), a steel truss vaulted work, launch the view plane of projection of imposed load curved surface
Fig. 2 (c), a steel truss vaulted work, the grid load cell (lattice among the figure) that grid loading method of the present invention forms
Fig. 2 (d), a steel truss vaulted work, grid loading method of the present invention is led line load on the beam that obtains
Fig. 3 (a), a uncovered round pool
Fig. 3 (b), a uncovered round pool, launch pond sidewall, base plate curved surface view plane of projection
Fig. 3 (c), a uncovered round pool, the grid load cell that grid loading method of the present invention forms
Fig. 3 (d), a uncovered round pool, grid loading method of the present invention lead curved surface vertical water pressure to calculate and are beam ruling load
Fig. 4, the inventive method forms the load arrow diagram in the view plane of projection
The specific embodiment
For understanding technical scheme of the present invention better, be further described below in conjunction with drawings and Examples.
In conjunction with Fig. 4, can finely understand the inventive method and utilize the view plane of projection to form the detailed process of curved surface sealing grid.
This figure is the part of a space lattice curved surface, by the 3-D view conversion, becomes that launch fully, mutual nonoverlapping projection plane in the two dimension view plane.
According to view projection two-dimensional coordinate, from the A point, look for the limit in the counterclockwise direction, finish up to getting back to the A point once more, form a sealing grid ABCD, as shown in Figure 4.
For the AB limit, link to each other with two sealing grid ABCD, AFEB respectively.If from an A to B is the positive direction on this limit.For the process that forms ABCD sealing grid, the AB limit is the reverse limit process of looking for.For the process that forms AFEB sealing grid, the AB limit is that forward is to looking for the limit process.
Forward is allowed on every limit, oppositely each is looked for the limit once.In once looking for the limit process, as a limit of finding looked on this direction, and then this time looks for the limit process to end.
The limit is looked for counterclockwise by positive direction, opposite direction respectively in all limits to grid surface, with all sealing grids that form in the space lattice curved surface.
Embodiment 1
Complicated pitched roof engineering shown in Fig. 1 (a), its pitched roof be respectively at 3 layers, 4 layers, and do not connect mutually.Pitched roof is a cast-in-place concrete floor, and people's load, snow load etc. need be led and calculate on the roof girder as area load on floor deadweight, other material deadweight of roofing, the roofing.
Close the beam column of following each layer of pitched roof, only keep the pitched roof beam column, and do the 3-D view conversion, pitched roof is unfolded, in the view plane of projection shown in accompanying drawing 1 (b).Utilize software, disposablely choose whole pitched roof beam columns.A post conduct only end has the cantilever limit of connection disallowable.
Utilize the inventive method,, form space three-dimensional load grid according to the 2-d plane graph on the view plane of projection, and corresponding grid load cell.For space connected domain not, the inventive method can detect automatically, and rejects each connected domain outermost grid respectively.On the grid load cell, add corresponding roofing load numerical value, direction, lead parameters such as calculating load mode.Shown in Fig. 1 (c), lattice is the diagram of grid load cell among the figure.
Line load is shown in Fig. 1 (d) on the beam that present embodiment finally obtains.
Embodiment 2
Dome structure shown in Fig. 2 (a) for observatory's building, adopts the circular arc trussed construction.Dome surface effect panel deadweight, go up the people and overhaul face distributed loads such as load, wind load, need lead calculate the circular arc pricncipal rafter, and truss between inter-tie as line load.
Close circular arc truss lower edge, web member, and do 3-D view conversion (vertical top view), the dome external surface is unfolded, in the view plane of projection shown in Fig. 2 (b).
Utilize the inventive method, disposablely choose whole dome surface members,, form space three-dimensional load grid according to the 2-d plane graph on the view plane of projection, and corresponding grid load cell.And on the grid load cell, add corresponding area load numerical value, direction, lead parameters such as calculating load mode.Shown in Fig. 2 (c).
Line load is shown in Fig. 2 (d) on the dome surface member that present embodiment finally obtains.
Embodiment 3
Uncovered round pool shown in Fig. 3 (a) adopts the structure types of establishing plate among the beam lattice.The surperficial vertical water pressure of inside, pond need be led and calculated the Liang Geshang that forms pool construction.
Do the 3-D view conversion, inner surface, pond is unfolded in the view plane of projection, shown in Fig. 3 (b).Utilize the inventive method, disposablely choose whole members,, form space three-dimensional load grid according to the 2-d plane graph on the view plane of projection, and corresponding grid load cell.Utilize software disposable to applying along height change, vertical surface water pressure on all grid load cell with grid surface.Shown in Fig. 3 (c).
Line load on the pond beam lattice that present embodiment finally obtains is shown in Fig. 3 (d) (part).
Situation by above embodiment can find out that the inventive method has reached the purpose of invention: 1, to pitched roof, space curved surface, the complex combination curved surface of complexity, reached the requirement that once-through operation can all load; 2, expanded the function of grid load, not only be used for building roof the distributed weight load lead calculation, can also lead the special load of calculating surperficial pressure at right angle.

Claims (2)

1, a kind of grid loading method of handling any space curved surface distributed load is characterized in that, with the Concept Extension of area load, as the problem of the distributed force on the space sealing grid of broad sense, and is called the grid load, and the step of handling the grid load is as follows:
(1) utilize the view plane of projection to launch the space lattice curved surface: the space lattice curved surface launches space curved surface by the 3-D view conversion in view plane, in the two dimension view plane, space curved surface is converted into two dimensional surface;
(2) utilize the view plane of projection form to form the sealing grid of curved surface:, to look for and respectively seal grid in the curved surface according to the view plane two-dimensional coordinate;
(3) set up the data of grid load:
1. the description of mesh shape: the unit number or the face element sides on each limit of sealing grid formed in journal, can describe the shape of grid;
2. grid load cell: as a kind of independently graphic element, this unit has following attribute with the grid load: A) pairing grid sequence number; B) coordinate parameters of self is the centre of area of corresponding grid; C) numerical value of the area load that applies, direction, affiliated operating mode, lead the pattern of calculating load;
(4) load is led calculate the grid peripheral unit: according to closed area, the determined space of load grid, with the load parameter that writes down on the grid load cell, by the pattern of setting, area load in the net region finally led calculate on the peripheral unit, as the line load that directly acts on beam, post, the wall.
2, the grid loading method of any space curved surface distributed load of processing according to claim 1 is characterized in that, described step (2), and treatment step is as follows:
1. handle the grid limit, reject overlapping limit, reject independent cantilever limit;
2. according to view projection two-dimensional coordinate,, look for the limit that is connected with this point in the counterclockwise direction, finish, form a sealing grid up to getting back to the A point once more since 1 A;
3. every limit is divided forward and reverse, and forward is allowed on every limit, oppositely each is looked for the limit once, and in once looking for the limit process, if any the equidirectional limit of having been looked for, a limit, then this time looks for the limit process to end;
4. above the institute of grid surface being repeated a little 2., 3. step, find all sealing grids;
5. in the grid that finds, will comprise the grid that peripheral boundary is formed, judge this grid deletion,, delete each regional peripheral meshes respectively the multizone curved surface according to the grid area.
CN 200510023279 2005-01-13 2005-01-13 Lattice loading method for treating random distributed load on curved surface Pending CN1644826A (en)

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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108021760A (en) * 2017-12-08 2018-05-11 中国电建集团中南勘测设计研究院有限公司 A kind of fluid mean camber distribution of force computational methods based on numerical simulation
US20190178443A1 (en) * 2017-12-13 2019-06-13 China National Offshore Oil Corp. Three-dimensional layoutlayout method for splicing vault plates of large lng storage tank

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108021760A (en) * 2017-12-08 2018-05-11 中国电建集团中南勘测设计研究院有限公司 A kind of fluid mean camber distribution of force computational methods based on numerical simulation
US20190178443A1 (en) * 2017-12-13 2019-06-13 China National Offshore Oil Corp. Three-dimensional layoutlayout method for splicing vault plates of large lng storage tank
US11118733B2 (en) * 2017-12-13 2021-09-14 China National Offshore Oil Corp. Three-dimensional layoutlayout method for splicing vault plates of large LNG storage tank

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