CN114912174A - Double-layer grid structure parametric modeling method, equipment and readable storage medium - Google Patents
Double-layer grid structure parametric modeling method, equipment and readable storage medium Download PDFInfo
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- CN114912174A CN114912174A CN202210485465.5A CN202210485465A CN114912174A CN 114912174 A CN114912174 A CN 114912174A CN 202210485465 A CN202210485465 A CN 202210485465A CN 114912174 A CN114912174 A CN 114912174A
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- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/13—Architectural design, e.g. computer-aided architectural design [CAAD] related to design of buildings, bridges, landscapes, production plants or roads
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- G06T17/00—Three dimensional [3D] modelling, e.g. data description of 3D objects
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- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T17/00—Three dimensional [3D] modelling, e.g. data description of 3D objects
- G06T17/20—Finite element generation, e.g. wire-frame surface description, tesselation
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Abstract
The invention discloses a parameterized modeling method, equipment and a readable storage medium for a double-layer grid structure, wherein the modeling method comprises the following steps: t1: picking up a geometric model of the building and setting grid parameters; t2: optimizing the approximate expansion of the curved surface and mesh division; t3: performing multi-condition grid optimization by using a KG arithmetic unit; mapping the optimized mesh back to the original curved surface; and generating a double-layer grid structure by using a gravity center method. The parameterized modeling method for the double-layer grid structure is suitable for free-form surfaces with complex forms and boundaries, ensures uniform rod lengths as much as possible in the automatic generation process of the grid, considers the actual supporting conditions of the grid structure, and has high universality.
Description
Technical Field
The invention relates to a structural modeling technology, in particular to a parameterized modeling method and equipment for a double-layer grid structure and a readable storage medium.
Background
The double-layer grid structure is a common long-span space structure form, has concise force transmission path, good structural rigidity, superior anti-seismic performance, mature and simple construction and installation, flexible arrangement and is suitable for buildings with different spans and different shapes.
On the one hand, the structure designer has much research on the conventional shape of the double-layer lattice structure, and the preliminary selection of the structure can be usually completed by setting one or more key parameters. However, for the free-form surface space structure, it is often difficult to describe and judge the structure performance by using a uniform geometric parameter. Therefore, the free-form surface needs to be subjected to multi-scheme modeling selection within the allowable range provided by architects.
On the other hand, in the building field nowadays, building design and creation are mainly performed through three-dimensional modeling software rhinono (rhinoceros), and a parametric modeling method is generally used in the building creation process. The trend of building parametric modeling is not only based on the consideration of owner requirements, but also is the development trend of building design. The building parametric design also needs to be linked with the structural design, and the structural speciality is required to quickly calculate the building parametric model. The traditional structural modeling calculation is a certain primary scheme model based on a building, then a structural engineer performs structural arrangement and calculation in a manual modeling mode, the manual modeling is usually based on a point-line relation, nodes are connected manually to form a grid structure, and if the building scheme is adjusted in a parameterization mode, the architect can only repeat the calculation process of the manual modeling, so that the structural designer cannot respond to the adjustment of the building scheme quickly, the design efficiency is low, and the design period is long.
The existing modeling program for programming a double-layer grid structure based on GH is only used for curved surfaces with obvious UV directions, and when the grids are divided, the curved surfaces are manually divided into a vertical surface area and a top plane area, so that the division lines of the circumferential corners of the curved surfaces are not intersected on the same node easily, and the defects of manual adjustment and the like are caused.
Disclosure of Invention
The invention provides a parametric modeling method, equipment and a readable storage medium for a double-layer grid structure, which are suitable for modeling a free-form surface double-layer grid structure with complex forms and boundaries, ensure uniform rod piece lengths as much as possible in the automatic generation process of a grid, consider the actual supporting conditions of the grid structure and have high universality.
In one aspect, the present application provides a parameterized modeling method for a double-layer grid structure, including the following steps:
t1: picking up a geometric model of the building and setting grid parameters;
t2: optimizing the approximate expansion of the curved surface and mesh division;
t3: and generating a double-layer grid structure by using the optimized grid.
On the basis of the above scheme, further grid division and optimization, step T1 specifically includes: picking up a building target curved surface and a supporting column of a grid structure from a rhinoceros model, wherein the curved surface is the curved surface where a chord member of the grid structure is located; generally, the building scheme often provides a curved surface for the upper chord. And setting geometrical parameters and optimization parameters generated by the grid structure, wherein the supporting column is one of the basis of subsequent grid division, and grid nodes are ensured to be arranged at the positions of the supporting columns during grid division.
On the basis of the above scheme, further, the grid geometry parameters include: the method comprises the following steps of (1) determining the side length L of a grid, the included angle alpha between the grid and a world coordinate system, the thickness h of a grid structure and the form of the grid (including a triangular pyramid net rack and a quadrangular pyramid net rack);
the mesh optimization parameters include: a grid side length combination threshold beta, a grid area combination threshold gamma and a grid iteration optimization convergence condition epsilon.
The meaning of each parameter is as follows:
the side length L of the grid is the side length of the chord member of the grid structure.
The included angle alpha between the grid and the world coordinate system is the included angle between the grid chord and the world coordinate system. By introducing the parameters, engineers can conveniently and artificially set the direction of the grid according to the positions of the supporting columns, the effect of the building, the included angle of the axis network in a world coordinate system and other factors. The device is particularly suitable for the condition that the device has a unidirectional force transmission characteristic and needs to arrange the chord in the short direction of force transmission.
The thickness h of the grid structure is the thickness of the double-layer grid structure. The program supports the realization of the thicknesses of two net racks, one is a net rack with equal thickness, and at the moment, the curved surface of the unknown chord member with the grid structure can be obtained through curved surface deviation by a single parameter h; a variable thickness net rack can be used for randomly establishing a curved surface where chords with the thickness are located in a rhinoceros at the moment and then picking the curved surface into a GH platform.
The grid form, i.e. the engineer selects a trilateral grid or a quadrilateral grid as required.
The grid side length merging threshold β is that in the process of grid optimization, when the side length of a certain grid is smaller than the threshold, the program automatically deletes the grid, and merges nodes on both sides of the grid.
The grid area merging threshold γ is that in the process of grid optimization, when the side length of each edge of the grid is greater than the threshold β, but a possibly existing abnormal grid with a smaller grid included angle results in the existence of a smaller enclosed area, and at this time, when the grid area is smaller than the threshold γ, the program automatically deletes the grid, and merges the grid end points.
And (3) optimizing a convergence condition epsilon by the grid iteration, namely stopping the grid optimization when the current iteration and the later iteration are smaller than the convergence condition in the grid optimization process.
The included angle parameter of the web member is not set in the grid geometric parameters, because the included angle of the web member is determined after the upper chord curved surface, the lower chord curved surface, the size of the upper chord grid or the size of the lower chord grid of the grid structure is determined, the included angle parameter of the web member is not set any more.
On the basis of the above scheme, further, step T2 specifically includes:
performing mathematical approximation expansion on the chord curved surface by using a ShapeMap plug-in; the curved surface at this stage is approximately unfolded, and the engineering precision is met. Carrying out standard mesh division on the approximately unfolded curved surface; and after the primary grid division is finished, carrying out plane grid optimization by using a kangaroo plug-in.
On the basis of the above scheme, further, the parameters of the standard grid division include grid length, grid angle and grid form.
On the basis of the above scheme, further, the specific way of grid optimization is as follows: the method comprises the steps of taking a plane grid point as an optimization object, using a plurality of physical and mechanical balance battery packs such as attractive force, repulsive force, spring force and the like as tools, optimizing the uniformity of the grid point, ensuring that the grid point is overlapped with a support unfolding point in the optimization process, ensuring that a node is overlapped with a grid structure supporting point after the grid optimization is completed, and judging that the grid point reaches a homogeneous state when the grid points are mutually balanced under the action of natural force.
On the basis of the above scheme, further, the step T3 includes the sub-steps of:
t31: performing multi-condition grid optimization by using a KG arithmetic unit;
t32: mapping the optimized mesh back to the original curved surface;
t33: and generating a double-layer grid structure by using a gravity center method.
On the basis of the above scheme, further, step T3 specifically includes:
attaching the optimized grids on the unfolding plane to the curved surface where the original space chord member is positioned in a mapping mode; respectively generating gravity center points of the curved surface meshes; projecting the gravity center Point to the plane of the lower chord according to the normal direction by using a Surface closed Point cell, and mutually connecting the projection points to form the lower chord of the grid structure; and finally, searching the corresponding relation between the upper chord node and the lower chord node by using a Closest Points battery, and connecting the upper chord node and the lower chord node to form the web member of the grid structure. This completes the parametric modeling of the mesh structure.
In a second aspect, the present application provides a two-layer mesh structure parametric modeling apparatus comprising a memory, a processor, and a computer program stored in the memory and executable on the processor;
the memory is used for storing programs;
the processor is configured to execute the computer program to implement the steps of the above-mentioned parametric modeling method for a two-layer grid structure.
In a third aspect, the present application provides a computer-readable storage medium storing a computer program, which when executed by a processor, implements the steps of the above-mentioned parametric modeling method for a two-layer mesh structure.
Compared with the prior art, the invention has the following advantages and beneficial effects:
the double-layer grid structure parametric modeling method is suitable for free-form surfaces with complex shapes and boundaries, ensures the uniform length of the rod pieces as much as possible in the automatic grid generation process, considers the actual supporting conditions of the grid structure and has high universality.
Drawings
In order to more clearly illustrate the technical solutions of the exemplary embodiments of the present invention, the drawings that are required in the embodiments will be briefly described below, it should be understood that the following drawings only illustrate some embodiments of the present invention and therefore should not be considered as limiting the scope, and that those skilled in the art may also derive other related drawings based on these drawings without inventive effort. In the drawings:
FIG. 1 is a flow chart of a method of the present invention;
FIG. 2 is an interface diagram for picking up a geometric model of a building and setting grid parameters;
FIG. 3 is an interface diagram of approximate expansion of a curved surface and mesh division;
FIG. 4 is an interface diagram of a multi-conditional mesh optimization using a KG operator;
FIG. 5 is an interface diagram of the optimized mesh mapped back to the original surface;
fig. 6 is an interface diagram of a two-layer mesh structure generated by the centroid method.
The implementation, functional features and advantages of the objects of the present invention will be further explained with reference to the accompanying drawings.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is further described in detail below with reference to examples and accompanying drawings, and the exemplary embodiments and descriptions thereof are only used for explaining the present invention and are not meant to limit the present invention.
As will be appreciated by one skilled in the art, embodiments of the present application may be provided as a method, system, or computer program product. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein.
The present application is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the application. It will be understood that each flow and/or block of the flowchart illustrations and/or block diagrams, and combinations of flows and/or blocks in the flowchart illustrations and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
It will be understood by those skilled in the art that all or part of the steps of the above facts and methods can be implemented by hardware related to instructions of a program, and the related program or the program can be stored in a computer readable storage medium, and when executed, the program includes the following steps: corresponding method steps are introduced, and the storage medium can be ROM/RAM, magnetic disk, optical disk, etc.
Example (b):
as shown in fig. 1, in the present embodiment, in one aspect, the present application provides a two-layer mesh structure parameterized modeling method, including the following steps:
t1: picking up a geometric model of the building and setting grid parameters;
t2: optimizing the approximate expansion of the curved surface and mesh division;
t3: and generating a double-layer grid structure by using the optimized grid.
Preferably, step T1 specifically includes: picking up a building target curved surface and a supporting column of a grid structure from a rhinoceros model, wherein the curved surface is the curved surface where a chord member of the grid structure is located; generally, the building scheme often provides a curved surface for the upper chord. And setting geometrical parameters and optimization parameters generated by the grid structure, wherein the supporting column is one of the basis of subsequent grid division, and when the grid is divided, ensuring that grid nodes are arranged at the positions of the supporting columns to obtain an interface shown in figure 2.
On the basis of the above scheme, further, the grid geometry parameters include: the method comprises the following steps of (1) obtaining a grid side length L, an included angle alpha between a grid and a world coordinate system, a grid structure thickness h and a grid form (including a triangular pyramid net rack and a quadrangular pyramid net rack);
the mesh optimization parameters include: a grid side length combination threshold value beta, a grid area combination threshold value gamma and a grid iteration optimization convergence condition epsilon.
The meaning of each parameter is as follows:
the side length L of the grid is the side length of the chord member of the grid structure.
The included angle alpha between the grid and the world coordinate system is the included angle between the grid chord member and the world coordinate system. By introducing the parameters, engineers can conveniently and artificially set the direction of the grid according to the positions of the supporting columns, the effect of the building, the included angle of the axis network in a world coordinate system and other factors. The device is particularly suitable for the condition that the device has a unidirectional force transmission characteristic and needs to arrange the chord in the short direction of force transmission.
The thickness h of the grid structure is the thickness of the double-layer grid structure. The program supports the realization of the thicknesses of two net racks, one is a net rack with equal thickness, and at the moment, the curved surface of the unknown chord member with the grid structure can be obtained through curved surface deviation by a single parameter h; a variable thickness net rack can be used for randomly establishing a curved surface where chords with the thickness are located in a rhinoceros at the moment and then picking the curved surface into a GH platform.
The grid form, i.e. the engineer selects a trilateral grid or a quadrilateral grid as required.
The grid side length merging threshold β is that in the process of grid optimization, when the side length of a certain grid is smaller than the threshold, the program automatically deletes the grid, and merges nodes on both sides of the grid.
The grid area merging threshold γ is that in the process of grid optimization, when the side length of each edge of the grid is greater than the threshold β, but a possibly existing abnormal grid with a smaller grid included angle results in the existence of a smaller enclosed area, and at this time, when the grid area is smaller than the threshold, the program automatically deletes the grid, and merges the grid end points.
And (3) optimizing a convergence condition epsilon by the grid iteration, namely stopping the grid optimization when the current iteration and the later iteration are smaller than the convergence condition in the grid optimization process.
The included angle parameter of the web member is not set in the grid geometric parameters, because the included angle of the web member is determined after the upper chord curved surface, the lower chord curved surface, the size of the upper chord grid or the size of the lower chord grid of the grid structure is determined, the included angle parameter of the web member is not set any more.
Preferably, step T2 specifically includes:
performing mathematical approximation expansion on the chord curved surface by using a ShapeMap plug-in; the curved surface at this stage is approximately unfolded, and the engineering precision is met. Performing standard mesh division on the approximately expanded curved surface to obtain an interface shown in fig. 3; after the preliminary grid division is completed, plane grid optimization is performed by using kangaroo plug-in units, and an interface shown in fig. 4 is obtained. .
Preferably, the parameters of the standard mesh partition include mesh length, mesh angle and mesh form.
Preferably, the specific grid optimization method is as follows: the method comprises the steps of taking a plane grid point as an optimization object, using a plurality of physical and mechanical balance battery packs such as attractive force, repulsive force, spring force and the like as tools, optimizing the uniformity of the grid point, ensuring that the grid point is overlapped with a support unfolding point in the optimization process, ensuring that a node is overlapped with a grid structure supporting point after the grid optimization is completed, and judging that the grid point reaches a homogeneous state when the grid points are mutually balanced under the action of natural force.
Preferably, step T3 includes the sub-steps of:
t31: performing multi-condition grid optimization by using a KG arithmetic unit;
t32: mapping the optimized mesh back to the original curved surface;
t33: and generating a double-layer grid structure by using a gravity center method.
Preferably, step T3 specifically includes:
attaching the optimized grid on the unfolding plane to the curved surface where the chord member in the original space is located in a mapping mode to obtain an interface shown in fig. 5; respectively generating gravity center points of the curved surface meshes; projecting the gravity center Point to the plane of the lower chord according to the normal direction by using a Surface closed Point cell, and mutually connecting the projection points to form the lower chord of the grid structure; and finally, searching the corresponding relation between the upper chord node and the lower chord node by using a Closest Points battery, and connecting the upper chord node and the lower chord node to form a web member of a grid structure to obtain an interface shown in fig. 6. This completes the parametric modeling of the mesh structure.
The above-mentioned embodiments, objects, technical solutions and advantages of the present invention are further described in detail, it should be understood that the above-mentioned embodiments are only examples of the present invention, and are not intended to limit the scope of the present invention, and all equivalent structures or equivalent processes, which are directly or indirectly applied to other related technical fields, which are not described in the present specification and the accompanying drawings, are all included in the scope of the present invention.
Claims (10)
1. A parametric modeling method for a double-layer grid structure is characterized by comprising the following steps:
t1: picking up a geometric model of the building and setting grid parameters;
t2: optimizing the approximate expansion of the curved surface and mesh division;
t3: and generating a double-layer grid structure by using the optimized grid.
2. The parametric modeling method for a two-layer grid structure according to claim 1, wherein step T1 specifically includes: picking up a building target curved surface and a supporting column of a grid structure from a rhinoceros model, wherein the curved surface is the curved surface where a chord member of the grid structure is located; and setting the geometric parameters and the optimization parameters generated by the grid structure to ensure that grid nodes are arranged at the positions of the support columns.
3. The parametric modeling method for a two-layer mesh structure according to claim 2, wherein the mesh geometry parameters comprise: the method comprises the following steps of (1) enabling the side length size L of a grid, the included angle alpha between the grid and a world coordinate system, the thickness h of a grid structure and the form of the grid;
the mesh optimization parameters include: a grid side length combination threshold value beta, a grid area combination threshold value gamma and a grid iteration optimization convergence condition epsilon.
4. The parametric modeling method for a two-layer grid structure according to claim 1, wherein step T2 specifically includes:
performing mathematical approximation expansion on the chord curved surface by using a ShapeMap plug-in; carrying out standard mesh division on the approximately unfolded curved surface; and after the primary grid division is finished, carrying out plane grid optimization by using a kangaroo plug-in.
5. The parametric modeling method for two-layer mesh structure as recited in claim 1, wherein the parameters of the standard mesh partition include mesh length, mesh angle and mesh form.
6. The parametric modeling method for the double-layer grid structure according to claim 4, wherein the grid optimization is specifically performed by: the method comprises the steps of taking a plane grid point as an optimization object, using a plurality of physical and mechanical balance battery packs such as attractive force, repulsive force, spring force and the like as tools, optimizing the uniformity of the grid point, ensuring that the grid point is overlapped with a support unfolding point in the optimization process, ensuring that a node is overlapped with a grid structure supporting point after the grid optimization is completed, and judging that the grid point reaches a homogeneous state when the grid points are mutually balanced under the action of natural force.
7. The parametric modeling method for two-layer grid structure according to claim 1, wherein step T3 comprises the sub-steps of:
t31: performing multi-condition grid optimization by using a KG arithmetic unit;
t32: mapping the optimized mesh back to the original curved surface;
t33: and generating a double-layer grid structure by using a gravity center method.
8. The method for parameterizing the two-layer grid structure according to claim 1, wherein step T3 specifically comprises:
attaching the optimized grids on the unfolding plane to the curved surface where the original space chord member is positioned in a mapping mode; respectively generating gravity center points of the curved surface meshes; projecting the gravity center Point to the plane of the lower chord according to the normal direction by using a Surface closed Point cell, and mutually connecting the projection points to form the lower chord of the grid structure; and finally, searching the corresponding relation between the upper chord node and the lower chord node by using a Closest Points battery, and connecting the upper chord node and the lower chord node to form the web member of the grid structure.
9. A two-layer mesh structure parametric modeling apparatus comprising a memory, a processor, and a computer program stored in the memory and executable on the processor,
the memory is used for storing programs;
the processor, configured to execute the computer program, implementing the steps of a method for parametric modeling of a two-layer mesh structure according to any of claims 1-8.
10. A computer-readable storage medium, in which a computer program is stored which, when being executed by a processor, carries out the steps of a method for parametric modeling of a two-layer mesh structure according to any of claims 1 to 8.
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| CN117592173A (en) * | 2024-01-19 | 2024-02-23 | 中国建筑西南设计研究院有限公司 | Special-shaped bifurcation column arrangement method and system |
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| CN117592173A (en) * | 2024-01-19 | 2024-02-23 | 中国建筑西南设计研究院有限公司 | Special-shaped bifurcation column arrangement method and system |
| CN117592173B (en) * | 2024-01-19 | 2024-04-19 | 中国建筑西南设计研究院有限公司 | Special-shaped bifurcation column arrangement method and system |
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