Prefabricated floor slab shape design method and system, storage medium and electronic equipment

By applying fractal geometric box dimension measurement in architectural structure design and calculating similarity factors in basic unit area, the problem of inefficiency of traditional design methods is solved, the accuracy of basic unit similarity judgment is improved, and it is suitable for the efficient design needs of modern construction industry.

CN119989491AActive Publication Date: 2025-05-13CHENGDU BENCHMARK FANGZHONG ARCHITECTURAL DESIGN CO LTD
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Patent Information

Application Number
CN202510127743.3
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-02-05
Publication Date
2025-05-13
Estimated Expiration
2045-02-05

AI Technical Summary

Technical Problem

The traditional architectural structure panel design method is inefficient and difficult to adapt to the high requirements of modern construction industry for accuracy and efficiency. The existing test and analysis methods cannot fully reflect the degree of mutual connection and influence between basic units, resulting in the inability to guarantee the accuracy of similarity judgment.

Method used

The prefabricated assembled floor slab design method based on fractal geometric box dimension measurement is adopted. By calculating the difference between the box dimension of the basic unit and the box dimension of the overall figure, the influence of the basic unit on the regularity is measured, and the similarity factor is calculated in combination with the basic unit area, the accuracy of the judgment of similarity of the basic unit is improved.

Benefits of technology

The full range test of prefabricated floor plan is realized, the accuracy of the judgment of similarity of basic units is improved, and the similarity weight order of various irregular basic units can be accurately evaluated, which is suitable for the efficient design needs of the modern construction industry.

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Abstract

The invention discloses a prefabricated assembly floor slab shape design method and system, a storage medium and electronic equipment, belongs to the technical field of electric data processing, and relates to an assembly type building prefabricated floor slab arrangement design technology through building data. The method comprises the following steps: S1, calculating box dimension influence factor vectors of all basic units based on box dimensions; s2, calculating the similarity factor of each basic unit according to the box dimension influence factor vector and the basic unit area vector; and S3, sorting according to the similarity factors to determine the influence sequence of the similarity of each basic unit. According to the method, the geometrical characteristics influenced by the similarity of the basic units can be obtained, the similarity weight sequence of various irregular basic units can be accurately evaluated, and the similarity judgment precision of the basic units is improved; and the full-range test of the prefabricated floor slab plane can be realized, and the test efficiency is high.
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Description

Technical Field

[0001] The present invention belongs to the technical field of electrical data processing, and relates to a technology for designing the layout of prefabricated floor slabs of assembled buildings using building data, and in particular to a method, system, storage medium and electronic equipment for designing a prefabricated assembled floor slab type. Background Art

[0002] In order to adapt to the functional and process requirements, the shapes of building structure design schemes are diversified, such as rectangles, trapezoids, etc. Designers can only rely on experience and intuition to determine the specifications of building structure plate design, and lack quantitative standards and methods when dividing structural units. Traditional building structure plate design methods are inefficient and difficult to adapt to the high requirements of modern construction industry for accuracy and efficiency. In response to this problem, the present invention establishes this method.

[0003] In addition, box dimension, as a metric for characterizing complex geometric shapes, can accurately reflect the regularity and complexity of floor layout. The similarity of prefabricated floor planes is closely related to factors such as box dimension and basic unit area. Conventional test and analysis methods only rely on measuring the length data of basic units, and their test results cannot fully reflect the mutual connection and influence between basic units, resulting in the inability to guarantee the accuracy of similarity judgment. Summary of the invention

[0004] In order to solve the deficiencies in the prior art, the present invention provides a prefabricated assembly floor slab type design method, system, storage medium and electronic equipment to improve the accuracy of basic unit similarity judgment.

[0005] In order to achieve the purpose of the present invention, the following scheme is proposed: A method for designing a prefabricated floor slab type based on fractal geometry box dimension measurement comprises the following steps: 1. Basic data preparation: Fractal geometry is a type of geometry that studies irregular shapes. Its characteristics include self-similarity, infinite complexity, and fractional dimension. In the distribution design of prefabricated floor slabs in prefabricated buildings, fractal geometry can be used to simulate and optimize the layout of floor slabs to improve the efficiency of material use and the stability of the structure.

[0006] Box dimension is a practical fractal geometry calculation method. It estimates the dimension by the number of boxes covering the set. It is relatively simple to operate and easy to calculate. It can reflect the self-similar characteristics and complexity of floor distribution. In addition, the calculation process of box dimension is also easy to integrate with existing computer-aided design (CAD) software, making the design process more efficient and accurate.

[0007] 1) Statistics of basic unit data of precast floor layout plan Name each basic unit in the precast floor layout plan and calculate the geometric area of ​​the basic unit.

[0008] 2) Box Dimension Grid Preparation Make a grid of squares of two spacing sizes and place the floor plan in the grid.

[0009] 2. Quantitative collection of the box dimensions of the overall prefabricated floor plane.

[0010] 3. Collection of box dimensions of basic units.

[0011] 4. Calculate the box dimension influence factor vector of all basic units: Basic computing unit i The box dimension of the graph and the overall box dimension of D 0 The absolute value of the difference D ix , measures the influence of the basic unit on regularity and forms the regularity influence value, the formula is: D ix =| D i - D 0 | in, D i To remove the basic unit i The overall box dimension of the graph after ; The calculation formula of the regularity influence factor of the basic unit is: ; The box dimension influencing factor vector of all basic units is: .

[0012] 5. Calculate the similarity factor of each basic unit based on the box dimension influence factor vector and the basic unit area vector: The basic unit area vector is: ; The similarity factor formula of each basic unit is: .

[0013] 6. Sort by similarity factor to determine the order of influence of the similarity of each basic unit.

[0014] The beneficial effects of the present invention are as follows: the present invention proposes a prefabricated floor slab similarity analysis method based on the combination of box dimension and basic unit area, which can realize the full range test of the prefabricated floor slab plane with high test efficiency. The method can obtain the geometric features affected by the basic unit similarity, accurately evaluate the similarity weight order of various irregular basic units, improve the accuracy of basic unit similarity judgment, and provide an effective basis for accurately evaluating the efficiency of prefabricated component arrangement. BRIEF DESCRIPTION OF THE DRAWINGS

[0015] Figure 1 The distribution and naming diagram of each basic unit in the prefabricated floor plan are shown; Figure 2 The grid diagram showing the precast floor slab planes are placed in a spacing size of 2; Figure 3 It shows the grid diagram where the precast floor slab plane is placed with a spacing size of 1; Figure 4 A diagram showing a situation where one A basic unit is removed from a grid with a spacing size of 2; Figure 5 A diagram showing a situation where one A basic unit is removed from a grid with a spacing size of 1; Figure 6 A flow chart of the prefabricated assembled floor slab design method is shown. DETAILED DESCRIPTION

[0016] Example 1 like Figure 6 As shown, this embodiment provides a method for designing a prefabricated assembly floor slab type based on fractal geometry box dimension measurement, comprising the following steps: 1. Basic data preparation: 1) Statistics of basic unit data of prefabricated panel layout plan Name each basic unit in the prefabricated panel layout plane and calculate the geometric area of ​​the basic unit. The result is as follows: Figure 1 , as shown in Table 1.

[0017] Table 1 Basic unit names and corresponding geometric areas 2) Box Dimension Grid Preparation Make two spacing sizes ( r 1 , r 2 ) and place the floor plan in the grid.

[0018] 2. Quantitative collection of box dimensions of the overall prefabricated floor plan The box dimension of a plane figure is a statistical method used to quantify the complexity of a fractal pattern. It estimates the dimension of a fractal based on the number of boxes required to cover the fractal pattern. The box dimension is calculated as follows: 1) Overlay the image over a range of different sizes ( r ) grid; 2) For each grid size, calculate the number of boxes (i.e. grid cells) required to cover the entire image; 3) Record the number of boxes of each size N ( r ); 4) Plot the relationship between the number of boxes and the box size using a double logarithmic coordinate graph (-log( r ),log( N ( r )); 5) Determine the linear relationship between the number of logarithmic boxes and the logarithmic box size through linear regression analysis; 6) The box dimension is the slope of this linear relationship, that is, the slope of the linear regression line. Box dimension D 0 is the slope of the best fit line and can be calculated by the following formula: The physical meaning of box dimension is that it provides a way to quantify the complexity of an image or graph. The higher the box dimension, the more complex the structure of the image or graph. The box dimension of a planar graph is usually between 1 and 2.

[0019] The simplified calculation formula for box dimension is: in, N 1 , N 2 The number of boxes covered for the graph under two different grids. r 1 , r 2 The sizes of the two different grids.

[0020] Calculate the box dimension of the overall figure: Figure 2 As shown, the overall graphic r 1 is 2, measured by N 1 is 400; Figure 3 As shown, the overall graphic r 2 is 1, measured by N 2 is 1467; Substituting into formula (2), we can get the box dimension of the whole figure D0 =1.8747.

[0021] 3. Collection of box dimensions of basic units If any basic unit is removed from the overall graph, the change in box dimension reflects the self-similarity of the fractal set and the dependence of the overall structure. If the box dimension changes after removing a basic unit, it means that the removed part plays a key role in maintaining the self-similarity and complexity of the overall fractal. The more obvious the change in box dimension, the more important some parts of the fractal set are than others, and they are crucial to maintaining the overall fractal characteristics.

[0022] Take unit A as an example. Figure 4 As shown, remove any A unit and recalculate the box dimension according to the method in Section 2. Figure 4 The overall graphic r 1 is 2, measured by N 1 is 364; Figure 5 As shown, the overall graphic r 2 is 1, measured by N 2 is 1323; Substituting into formula (2), we can get the dimension of the graphic box without one A unit: D A =1.8618.

[0023] By analogy, we can obtain D A , D B ,…, D U .

[0024] 4. Calculate the box dimension impact factor vector of all basic units By calculating the difference between the box dimension of the basic unit and the box dimension of the overall graphic, the influence of the basic unit on the regularity is measured and the regularity influence value is formed. The formula is: D ix =| D i - D 0 | (3) in, D ix For basic unit i and the overall box dimension D 0 The absolute value of the difference, D i To remove the basic unit i The overall box dimension of the graph after .

[0025] The calculation formula of the regularity influence factor of the basic unit is: The box dimension influencing factor vector of all basic units is: The results are shown in Table 2.

[0026] Table 2 Box dimension calculation influence factors corresponding to each basic unit 5. Calculate the similarity factor of each basic unit based on the box dimension influence factor vector and the basic unit area vector: The basic unit area vector is: The similarity factor formula of each basic unit is: The results are shown in Table 3.

[0027] Table 3 Similarity factors corresponding to each basic unit 6. By sorting according to the similarity factors, the influence order of the similarity of each basic unit can be determined; then the order of the similarity influence factors can also be used to determine the module of the prefabricated panel.

[0028] Example 2 This embodiment provides a prefabricated assembly floor slab type design system based on fractal geometry box dimension measurement, which is used to implement the method described in Example 1. The system includes a data preparation module, a first calculation module, a second calculation module and a sorting module.

[0029] The preparation module is used to name the basic units in the prefabricated panel layout plane and calculate the geometric area of ​​the basic units; it is used to make two spacing sizes ( r 1 , r 2 ) and place the plane figure in the grid; used to calculate the box dimension of the overall figure and the box dimension of the figure without any basic unit.

[0030] The first calculation module is used to calculate the box dimension influence factor vector of all basic units based on the box dimension: by calculating the difference between the box dimension of the basic unit and the box dimension of the entire graphic, the influence of the basic unit on the regularity is measured and the regularity influence value is formed. The formula is: D ix =| D i -D 0 | (3) in, D ix For basic unit i and the overall box dimension D 0 The absolute value of the difference, D i To remove the basic unit i The final box dimension.

[0031] The calculation formula of the regularity influence factor of the basic unit is: The box dimension influencing factor vector of all basic units is: .

[0032] The second calculation module is used to calculate the similarity factor of each basic unit according to the box dimension influence factor vector and the basic unit area vector: The basic unit area vector is: The similarity factor formula of each basic unit is: .

[0033] The sorting module is used to sort according to the similarity factor to determine the influence order of the similarity of each basic unit.

[0034] Example 3 This embodiment provides a computer-readable storage medium on which a computer program is stored. When the program is executed by a processor, the method described in Embodiment 1 is implemented.

[0035] Example 4 This embodiment provides an electronic device, including a processor and a memory, wherein the memory stores computer-executable instructions, and when the processor executes the computer-executable instructions stored in the memory, the method described in Embodiment 1 is implemented.

[0036] The above embodiments are only used to illustrate the technical ideas and features of the present invention, and are not intended to be the only or limit the present invention. It should be understood by those skilled in the art that various changes or equivalent substitutions made to the present invention without departing from the scope of the present invention all fall within the scope of protection of the present invention.

Claims

1. A prefabricated assembly floor slab design method based on fractal geometry box dimension measurement, characterized in that: The following steps are involved: S1. Calculate the box dimension influence factor vector of all basic units based on the box dimension; S2, calculating the similarity factor of each basic unit according to the box dimension influence factor vector and the basic unit area vector; S3. Sort by similarity factor to determine the order of influence of the similarity of each basic unit.

2. The method for designing prefabricated floor slabs based on fractal geometry box dimension measurement according to claim 1, characterized in that: Step S1: Basic computing unit i The box dimension of the graph and the overall box dimension of D 0 absolute value of the difference D ix , measures the influence of the basic unit on regularity and forms the regularity influence value, the formula is: D ix =| D i - D 0| in, D i To remove the basic unit i The overall box dimension of the graph after ; The calculation formula of the regularity influence factor of the basic unit is: ; The box dimension influencing factor vector of all basic units is: 。 3. The method for designing prefabricated floor slabs based on fractal geometry box dimension measurement according to claim 2, characterized in that: In step S2: The basic unit area vector is: ; The similarity factor formula of each basic unit is: 。 4. The method for designing prefabricated floor slabs based on fractal geometry box dimension measurement according to claim 1, characterized in that: In step S3, the order of the similarity factors is also used to determine the module of the prefabricated panel.

5. A prefabricated floor slab design system based on fractal geometry box dimension measurement, characterized in that: include: The first calculation module is used to calculate the box dimension influence factor vector of all basic units based on the box dimension; The second calculation module is used to calculate the similarity factor of each basic unit according to the box dimension influence factor vector and the basic unit area vector; Sorting module: used to sort according to similarity factors to determine the order of influence of the similarity of each basic unit.

6. A computer-readable storage medium, characterized in that: A computer program is stored thereon, and when the program is executed by a processor, the method according to claims 1 to 4 is implemented.

7. An electronic device, characterized in that: The method comprises a processor and a memory, wherein the memory stores computer-executable instructions, and when the processor executes the computer-executable instructions stored in the memory, the method as claimed in claims 1 to 4 is implemented.

Citation Information

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