CN114969942B - Parameterization modeling method for string-stretching three-dimensional arch centering - Google Patents
Parameterization modeling method for string-stretching three-dimensional arch centering Download PDFInfo
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Abstract
The invention discloses a parameterization modeling method of a string three-dimensional arch frame, which comprises the following steps: 1) Acquiring an arched curved surface of a model to be built and an inclination angle thereof, and adjusting the direction angle of the curved surface so as to facilitate parameterization description of the rod piece direction; 2) Generating three chords, stay ropes and stay bars of the arch according to the input arch curved surface, the three-dimensional arch direction, the three-dimensional arch interval, the stay bar spacing and the vertical span ratio; 3) Generating each truss string arch frame model; 4) Outputting each truss in the step 3), analyzing and selecting the most reasonable sag ratio gradient value to bring into the step 2); 5) Generating a supporting truss outside an arch frame surface, and enabling the generated supporting truss outside the arch frame surface to coincide with a lap joint point of the arch frame; 6) And generating a final string arch centering parameterization model according to the original curved surface and the angle adjustment combined model. The method of the invention greatly improves the modeling speed and the rationality of the model while ensuring good adaptability of the arched curved surface, thereby improving the structural analysis working efficiency.
Description
Technical Field
The invention relates to an auxiliary design technology of a building structure, in particular to a parameterization modeling method of a string three-dimensional arch frame.
Background
Grasshopper is three-dimensional modeling software of a visual programming language based on rho, and has the biggest characteristics that a computer can automatically generate a result according to a formulated algorithm through an input instruction, the algorithm result is not limited to a model, and through programming an algorithm program, mechanical repeated operation and a large number of evolution processes with logic can be replaced by cyclic operation of the computer, so that the Grasshopper is widely applied to a modeling stage of structural design analysis.
With the continuous progress of the economic rapid development and the construction industry in China, the large-span structure has wider development prospect in China. The tension chord three-dimensional arch system has the advantages that the stress of each component is clear, the three-dimensional truss and the cable take the advantages of the complement of the short length, the hardness and softness, and the tension chord three-dimensional arch system has better applicability to the ultra-large span structure with the span of hundreds of meters compared with the conventional grid and truss system. However, the stress performance of the chord arch frame structure has close relation with geometric characteristics such as truss height, truss sagittal span ratio, cable vertical span ratio and the like, and is limited by factors such as standard construction requirements, so that a designer is required to repeatedly debug and model and select to achieve the optimal structural design. Therefore, the traditional modeling method is low in efficiency, and the overall efficiency of the structural design is reduced.
The invention adopts Grasshopper to compile an improved parametric modeling method for the string-stretching three-dimensional arch, not only can rapidly establish a string-stretching three-dimensional arch structure which accords with the appearance of a toric surface, but also can automatically and circularly screen the rod pieces according to the requirements of rod piece angles and other geometric indexes such as a manually set sag ratio and other geometric indexes and repeatedly optimize the existing model, and can output typical arch structural units under different geometric indexes in batches, thereby facilitating the rapid calculation and comparison selection by leading in structural analysis software, overcoming the two defects that part of the rod pieces are rapidly established and still need manual repeated adjustment after meeting the requirements of the specifications, and the models with different geometric indexes need repeated modeling and derivation for a plurality of times in the traditional parametric modeling method, providing a set of method with accuracy and flexibility for the modeling design of the string-stretching three-dimensional arch structure, and remarkably improving the modeling accuracy and analysis efficiency of designers.
Disclosure of Invention
The invention aims to solve the technical problem of providing a parameterization modeling method for a string three-dimensional arch frame aiming at the defects in the prior art.
The technical scheme adopted for solving the technical problems is as follows: a parameterization modeling method of a string stereo arch frame comprises the following steps:
1) Acquiring an arched curved surface of a model to be built and an inclination angle thereof, and adjusting the direction angle of the curved surface so as to facilitate parameterization description of the rod piece direction;
2) Generating three chords, guys and stay bars of the arch according to the input arch curved surface, the three-dimensional arch direction, the three-dimensional arch spacing, the stay bar spacing and the vertical span ratio, and outputting model data of corresponding indexes by Grasshopper software for judging rationality for standard indexes which do not participate in calculation; if the rationality is not satisfied, the input value is required to be adjusted to enable the overall structure size to satisfy the specification
3) On the basis of the three chords generated in the step 2), generating a diagonal web member by using a parameterized member angle optimization method:
by combining the chord length and the distance, the chord segments are iteratively optimized, nodes are reasonably numbered and connected with corresponding nodes, angles between axes of all web members and chord axes are not smaller than a standard limit value, diagonal web members with uniform and reasonable angles are generated, and the connection of the diagonal web members and the nodes among the chords is ensured to be reasonable;
generating corresponding end rod pieces at the end parts of the chords, and combining the arch curved surfaces in the step 1) to generate each truss string arch model;
if the step-up ratio parameter input in the step 2) is a step-up ratio gradient value, turning to the step 4), and if the step-up ratio parameter input in the step 2) is a single value, turning to the step 5);
4) Outputting each truss in the step 3), introducing the output truss into calculation software for analysis and calculation, comparing truss stress performance under the same working condition, and carrying out analysis and selection on the most reasonable sag ratio gradient value to step 2);
or comparing performance indexes of the typical arch frame structural units under different vertical span ratios, reducing a gradient interval, substituting a vertical span ratio gradient value with smaller interval and gradient into the step 2), and repeating the step 2) and the step 3) until the stress performance index difference of each model in the vertical span ratio gradient interval is smaller than a preset value;
5) Generating a supporting truss outside an arch frame surface by using the parameterization rod angle optimization method in the step 3) under the constraint of meeting the angles of chords and diagonal web members according to the truss string arch frame model parts generated in the step 3), so that the generated supporting truss outside the arch frame surface is overlapped with a lap joint of the arch frame;
6) And generating a final string arch centering parameterization model according to the original curved surface and the angle adjustment combined model.
The invention has the beneficial effects that:
the method provides an improved method for the chord-opening three-dimensional arch modeling of the arch curved surface, ensures good adaptability of the arch curved surface, greatly improves modeling speed and rationality of a model, and further improves structural analysis working efficiency.
The method takes the arch frame direction, each space of the arch frames and the space of the supporting rods as basic parameters, combines the standard parameters to carry out the model establishment of the main chord members, the supporting rods and the tensioning cables, and outputs model data of corresponding indexes by a program for standard indexes which do not participate in the calculation of a parameterization program, and ensures reasonable comparison with the standard indexes;
according to the invention, when the arch frame is output, one arch frame structure unit of a typical arch frame with different vertical span ratios can be output in batches for comparison and selection, even the gradient repeated comparison and selection of the vertical span ratio can be reduced, and the optimality of the model is ensured.
The limit on the rod angle is built in the arithmetic logic, the nodes at the two ends of the diagonal web member are optimized through the optimization parameters, the rod angle is ensured to meet the standard requirement, and the superposition of all force transmission nodes is ensured not to be staggered.
Drawings
The invention will be further described with reference to the accompanying drawings and examples, in which:
FIG. 1 is a flow chart of a method of an embodiment of the present invention;
fig. 2 is a GH flow diagram of an embodiment of the invention;
FIG. 3 is an arcuate curved surface view of an embodiment of the present invention;
FIG. 4 is a curved view of an arcuate curved surface according to an embodiment of the present invention after an angle adjustment;
FIG. 5 is a graph of strut, chord and tensioned cable models generated at different sag ratios for an embodiment of the present invention;
FIG. 6 is a block diagram of a specification value determination module and a result diagram according to an embodiment of the present invention;
FIG. 7 is a graph showing model differences at different vertical ratios for an embodiment of the present invention;
FIG. 8 illustrates various arch models with different vertical span ratios according to an embodiment of the present invention;
FIG. 9 is a drawing of a model of a brace, chord and tensioned cable generated at a 1/25 span ratio in accordance with an embodiment of the present invention;
FIG. 10 is a 1/25 span ratio of each truss chord arch model according to an embodiment of the invention;
FIG. 11 is a schematic view of an extrados support truss of an embodiment of the invention;
FIG. 12 is a parametric model of a fitted arch surface chord-opening stereoscopic arch (out-of-plane support is truss) according to an embodiment of the invention;
FIG. 13 is a parametric model of a fitted arch curved surface chord opening stereoscopic arch (out-of-plane support is chord) according to an embodiment of the invention;
fig. 14 is a final chordal stereoscopic arch parameterized model of an embodiment of the invention.
Detailed Description
The present invention will be described in further detail with reference to the following examples in order to make the objects, technical solutions and advantages of the present invention more apparent. It should be understood that the specific embodiments described herein are for purposes of illustration only and are not intended to limit the scope of the invention.
As shown in fig. 1, a parametric modeling method for a chord-wise stereoscopic arch includes the following steps:
1) Acquiring an arched curved surface of a model to be built and an inclination angle thereof, and adjusting the direction angle of the curved surface so as to facilitate parameterization description of the rod piece direction;
2) Generating three chords, guys and stay bars of the arch according to the input arch curved surface, the three-dimensional arch direction, the three-dimensional arch spacing, the stay bar spacing and the vertical span ratio, and outputting model data of corresponding indexes by Grasshopper software for judging rationality for standard indexes which do not participate in calculation;
3) On the basis of the three chords generated in the step 2), according to a parameterized rod angle optimization algorithm: by combining the chord length and the distance, the chord segments are iteratively optimized, nodes are reasonably numbered and connected with corresponding nodes, angles between axes of all web members and chord axes are not smaller than a standard limit value, diagonal web members with uniform and reasonable angles are generated, and the connection of the diagonal web members and the nodes among the chords is ensured to be reasonable;
generating corresponding end rod pieces at the end parts of the chords, and combining the arch curved surfaces in the step 1) to generate each truss string arch model;
if the step-up ratio parameter input in the step 2) is a step-up ratio gradient value, turning to the step 4), and if the step-up ratio parameter input in the step 2) is a single value, turning to the step 5);
4) Outputting each truss in the step 3), introducing the output truss into calculation software for analysis and calculation, comparing truss stress performance under the same working condition, and carrying out analysis and selection on the most reasonable sag ratio gradient value to step 2);
or comparing performance indexes of the typical arch frame structural units under different vertical span ratios, reducing a gradient interval, substituting a vertical span ratio gradient value with smaller interval and gradient into the step 2), and repeating the step 2) and the step 3) until the stress performance index difference of each model in the vertical span ratio gradient interval is smaller than a preset value;
5) Generating a supporting truss outside an arch frame surface according to the truss string arch frame model part generated in the step 3) under the constraint of meeting the angles of chord members and diagonal web members by a parameterization optimization algorithm, so that the generated supporting truss outside the arch frame surface is overlapped with a lap joint node of the arch frame;
6) And generating a final string arch centering parameterization model according to the original curved surface and the angle adjustment combined model.
One embodiment is:
FIG. 3 is a profile diagram of an embodiment in which the values of the angle of inclination and the arcuate surface to be modeled are input to produce an adjusted fitted surface, the inclination angle of the surface being 10 0 The adjusted fitting curved surface is shown in figure 4;
and inputting the fitted curved surface, the direction of the three-dimensional arch, the spacing of the three-dimensional arch and the spacing of the supporting rods, and inputting the vertical span ratio gradient value. The three-dimensional arch frame direction is the x-axis direction, the spacing of each three-dimensional arch frame is 12m, the spacing of the supporting rods is 15m, the vertical span ratio input gradient value is shown in figure 6, and three chord members, supporting rods and tensioning cable models with different preliminary positioning vertical span ratios are formed, as shown in figure 5; and outputting standard data which are not used in the calculation of the two groups of parameterization modules for judging rationality, wherein the judging module and the result diagram are shown in figure 6; model difference pairs under different vertical-to-horizontal ratios such as shown in fig. 7;
on the basis of the formed chord members and stay bars, according to a parameterized member angle optimization algorithm, generating diagonal web members with uniform and reasonable angles, ensuring reasonable connection of the diagonal web members and nodes among the chord members by using the algorithm, generating corresponding end member members at the end parts of the chord members, and combining the chord members and the stay bars to form various truss models with different vertical span ratios as shown in fig. 8; if the input vertical-to-horizontal ratio is a gradient value, performing a comparison step, and if the input vertical-to-horizontal ratio is a single value, skipping the comparison step;
and (3) comparing: selecting the vertical span ratio parameters meeting the specification in fig. 6, outputting the model to perform scheme comparison selection, refining the gradient value or selecting the optimal value, and repeating the previous steps; in the embodiment, the operation is directly repeated by selecting a vertical span ratio of 1/25; the generated 1/25 span ratio lower brace, chord and tensioning cable model is shown in figure 9;
on the basis of the three generated arch chord members in fig. 8, according to a parameterized member angle optimization algorithm, generating an angle-uniform and reasonable diagonal web member, and ensuring reasonable connection of the diagonal web members and nodes among the chord members by using the algorithm without checking whether the angle is in accordance with the specification; generating corresponding end rod pieces at the end parts of the chords, and combining part of the models in the step 2) to generate each truss string arch model, as shown in fig. 10;
according to the arch part of the generating model, on the basis of meeting the angles of the chord members and the diagonal web members, the superposition of the force transmission nodes of the lateral supporting trusses and the arch is ensured, and under the condition of meeting the conditions, all the components of the supporting trusses outside the arch surface are generated; as shown in fig. 11; after all parts are combined, the model is shown in figure 12, and the model is shown in figure 13 when the chord members are selected for the outer support of the arch frame;
combining the generated partial models according to the original arch curved surface and the adjustment angle value to generate a final string-stretching three-dimensional arch parameterized model, as shown in fig. 14;
it will be understood that modifications and variations will be apparent to those skilled in the art from the foregoing description, and it is intended that all such modifications and variations be included within the scope of the following claims.
Claims (1)
1. The parameterization modeling method of the string stereo arch frame is characterized by comprising the following steps of:
1) Acquiring an arched curved surface of a model to be built and an inclination angle thereof, and adjusting the direction angle of the curved surface so as to facilitate parameterization description of the rod piece direction;
2) Generating three chords, stay ropes and stay bars of the arch according to the input arch curved surface, the three-dimensional arch direction, the three-dimensional arch interval, the stay bar spacing and the vertical span ratio; for standard indexes which do not participate in calculation, the Grasshopper software outputs model data of corresponding indexes for judging rationality, and if the rationality is not met, an input value is adjusted to enable the overall structure size to meet the standard;
3) On the basis of the three chords generated in the step 2), generating a diagonal web member by using a parameterized member angle optimization method:
by combining the chord length and the distance, the chord segments are iteratively optimized, nodes are reasonably numbered and connected with corresponding nodes, angles between axes of all web members and chord axes are not smaller than a standard limit value, diagonal web members with uniform and reasonable angles are generated, and the connection of the diagonal web members and the nodes among the chords is ensured to be reasonable;
generating corresponding end rod pieces at the end parts of the chords, and combining the arch curved surfaces in the step 1) to generate each truss string arch model;
if the step-up ratio parameter input in the step 2) is a step-up ratio gradient value, turning to the step 4), and if the step-up ratio parameter input in the step 2) is a single value, turning to the step 5);
4) Outputting each truss in the step 3), introducing the output truss into calculation software for analysis and calculation, comparing truss stress performance under the same working condition, and carrying out analysis and selection on the most reasonable sag ratio gradient value to step 2);
or comparing performance indexes of the typical arch frame structural units under different vertical span ratios, reducing a gradient interval, substituting a vertical span ratio gradient value with smaller interval and gradient into the step 2), and repeating the step 2) and the step 3) until the stress performance index difference of each model in the vertical span ratio gradient interval is smaller than a preset value;
5) Generating a supporting truss outside an arch frame surface by using a parameterized rod angle optimization method under the constraint of meeting angles of chords and diagonal web members according to the truss string arch frame model parts generated in the step 3), so that the generated supporting truss outside the arch frame surface coincides with a lap joint point of the arch frame;
6) And generating a final string arch centering parameterization model according to the original curved surface and the angle adjustment combined model.
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| WO2017121315A1 (en) * | 2016-01-12 | 2017-07-20 | 广州机施建设集团有限公司 | Construction method for building truss and floor slab |
| CN111611675A (en) * | 2020-01-09 | 2020-09-01 | 中南建筑设计院股份有限公司 | Rapid modeling method based on Revit and Dynamo parameterized grid structure model |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| WO2017121315A1 (en) * | 2016-01-12 | 2017-07-20 | 广州机施建设集团有限公司 | Construction method for building truss and floor slab |
| CN111611675A (en) * | 2020-01-09 | 2020-09-01 | 中南建筑设计院股份有限公司 | Rapid modeling method based on Revit and Dynamo parameterized grid structure model |
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| 大跨度张弦立体桁架受力性能研究;王成;张毅刚;;建筑结构;20100625(第06期);全文 * |
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