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

Abstract

The present invention discloses a method, system, storage medium and electronic device for designing the type of prefabricated assembled floor slabs. The present invention belongs to the field of electrical data processing technology and relates to a technology for designing the layout of prefabricated floor slabs of assembled buildings using building data. The method comprises the following steps: S1, calculating 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, sorting according to the similarity factor to determine the influence order of the similarity of each basic unit. The method can obtain the geometric features of the influence of the basic unit similarity, accurately evaluate the similarity weight order of various irregular basic units, and improve the accuracy of the basic unit similarity judgment; it can also realize the full range test of the prefabricated floor slab plane, and the test efficiency is high.

Description

Technical Field

[0001] The present invention belongs to the field of electronic data processing technology, 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 the type of prefabricated assembled floor slabs. Background Art

[0002] To meet functional and process requirements, building structural designs employ diverse shapes, such as rectangles and trapezoids. Designers rely solely on experience and intuition to determine the specifications for structural plate designs, lacking quantitative standards and methods for dividing structural units. Traditional structural plate design methods are inefficient and struggle to meet the high precision and efficiency demands of the modern construction industry. This present invention addresses this challenge by developing a method.

[0003] Furthermore, box dimension, as a metric for characterizing complex geometric shapes, can accurately reflect the regularity and complexity of floor slab layouts. The similarity of precast floor slab plans is closely related to factors such as box dimension and the area of basic units. Conventional testing and analysis methods rely solely on measuring the length of basic units. These results fail to fully reflect the interconnections and influences between basic units, making it difficult to accurately determine similarity. Summary of the Invention

[0004] To address the deficiencies in the prior art, the present invention provides a prefabricated floor slab 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:

[0006] A method for designing prefabricated floor slabs based on fractal geometry box dimension measurement includes the following steps:

[0007] 1. Basic data preparation:

[0008] Fractal geometry is the study of irregular shapes, characterized by self-similarity, infinite complexity, and fractional dimension. In the design of prefabricated floor slabs for prefabricated buildings, fractal geometry can be used to simulate and optimize floor slab layouts, improving material efficiency and structural stability.

[0009] Box dimension is a practical fractal geometry calculation method that estimates dimension by counting the number of boxes that cover a set. It is relatively simple to use and calculate. It can reflect the self-similarity and complexity of floor slab distribution. Furthermore, the box dimension calculation process can be easily integrated with existing computer-aided design (CAD) software, making the design process more efficient and accurate.

[0010] 1) Statistics of basic unit data of precast floor layout plan

[0011] Name each basic unit in the precast floor layout plan and calculate the geometric area of the basic unit.

[0012] 2) Box Dimension Grid Preparation

[0013] Make a grid of squares of two spacing sizes and place the plan in the grid.

[0014] 2. Quantitative collection of box dimensions of the entire prefabricated floor plan.

[0015] 3. Collection of box dimensions of basic units.

[0016] 4. Calculate the box dimension influence factor vector of all basic units:

[0017] Basic computing unit i The box dimension of the graph and the overall box dimension D 0 absolute value of the difference D ix , measures the influence of basic units on regularity and forms the regularity influence value, the formula is:

[0018] D ix =| D i - D 0|

[0019] in, D i To remove the basic unit i The overall box dimension after ;

[0020] The calculation formula of the regularity impact factor of the basic unit is:

[0021] ;

[0022] The box dimension influence factor vector of all basic units is:

[0023] .

[0024] 5. Calculate the similarity factor of each basic unit based on the box dimension influence factor vector and the basic unit area vector:

[0025] The basic unit area vector is:

[0026] ;

[0027] The similarity factor formula of each basic unit is:

[0028] .

[0029] 6. Sort by similarity factor to determine the order of influence of similarity of each basic unit.

[0030] The present invention provides a method for analyzing the similarity of precast floor slabs based on a combination of box dimension and basic unit area, enabling full-scale testing of precast floor slab planes with high testing efficiency. This method captures the geometric features that influence basic unit similarity, accurately assesses the similarity weight order of various irregular basic units, and improves the accuracy of basic unit similarity judgments, providing an effective basis for accurately evaluating the efficiency of precast component layout. BRIEF DESCRIPTION OF THE DRAWINGS

[0031] Figure 1 The distribution and naming diagram of each basic unit in the precast floor plan is shown;

[0032] Figure 2 The precast floor slabs are placed on a grid with a spacing of 2.

[0033] Figure 3 The precast floor slab is placed on a grid with a spacing size of 1.

[0034] Figure 4 A diagram showing a situation where one A basic unit is removed from a grid with a spacing size of 2;

[0035] Figure 5 A diagram showing a grid with a spacing size of 1 with one A unit cell removed;

[0036] Figure 6 A flow chart of the prefabricated assembly floor slab design method is shown. DETAILED DESCRIPTION

[0037] Example 1

[0038] like Figure 6 As shown, this embodiment provides a prefabricated assembly floor slab design method based on fractal geometry box dimension measurement, comprising the following steps:

[0039] 1. Basic data preparation:

[0040] 1) Statistics of basic unit data of prefabricated panel layout plan

[0041] 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.

[0042] Table 1 Basic unit names and corresponding geometric areas

[0043]

[0044] 2) Box Dimension Grid Preparation

[0045] Make two spacing sizes ( r 1, r 2) and place the floor plan in the grid.

[0046] 2. Quantitative collection of box dimensions of the overall prefabricated floor plan

[0047] 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:

[0048] 1) Overlay the image over a range of different sizes ( r ) grid;

[0049] 2) For each grid size, calculate the number of boxes (i.e., grid cells) required to cover the entire image;

[0050] 3) Record the number of boxes of each size N ( r );

[0051] 4) Plot the relationship between the number of boxes and the box size using a double logarithmic coordinate graph (-log( r ),log( N ( r ));

[0052] 5) Determine the linear relationship between the number of logarithmic boxes and the logarithmic box size through linear regression analysis;

[0053] 6) The box dimension is the slope of this linear relationship, that is, the slope of the linear regression line. The box dimension D0 is the slope of the best fit line and can be calculated using the following formula:

[0054]

[0055] The physical significance of box dimension is that it provides a way to quantify the complexity of an image or graph. A higher box dimension indicates a more complex structure. The box dimension of a planar graph is typically between 1 and 2.

[0056] The simplified calculation formula for box dimension is:

[0057]

[0058] in, N 1. N 2 is the number of boxes covered by the graphics under two different grids. r 1. r 2 is the size of two different grids.

[0059] Calculate the box dimension of the overall graph: 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 D 0=1.8747.

[0060] 3. Collection of box dimensions of basic units

[0061] When any unit is removed from the overall image, the change in box dimension reflects the self-similarity of the fractal set and the interdependence of its overall structure. If the box dimension changes after removing a unit, it means that the removed unit plays a key role in maintaining the self-similarity and complexity of the overall fractal. The more significant the change in box dimension, the more important some parts of the fractal set are, and they are crucial to maintaining the overall fractal properties.

[0062] 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, and after measurement, N1 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.

[0063] By analogy, we can obtain D A , D B ,…, D U .

[0064] 4. Calculate the box dimension impact factor vector of all basic units

[0065] 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:

[0066] D ix =| D i - D 0| (3)

[0067] in, D ix For the 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 after .

[0068] The calculation formula of the regularity impact factor of the basic unit is:

[0069]

[0070] The box dimension influence factor vector of all basic units is:

[0071]

[0072] The results are shown in Table 2.

[0073] Table 2 Box dimension calculation impact factors corresponding to each basic unit

[0074]

[0075] 5. Calculate the similarity factor of each basic unit based on the box dimension influence factor vector and the basic unit area vector:

[0076] The basic unit area vector is:

[0077]

[0078] The similarity factor formula of each basic unit is:

[0079]

[0080] The results are shown in Table 3.

[0081] Table 3 Similarity factors corresponding to each basic unit

[0082]

[0083] 6. By sorting according to the similarity factor, the influence order of the similarity of each basic unit can be determined; then the order of the similarity influence factor can also be used to determine the module of the prefabricated panel.

[0084] Example 2

[0085] 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.

[0086] The preparation module is used to name the basic units in the prefabricated panel layout and calculate the geometric area of the basic units; it is used to make two spacing sizes ( r 1, r 2) a square grid 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.

[0087] 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:

[0088] D ix =| D i - D 0| (3)

[0089] in, D ix For the 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.

[0090] The calculation formula of the regularity impact factor of the basic unit is:

[0091]

[0092] The box dimension influence factor vector of all basic units is:

[0093] .

[0094] 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:

[0095] The basic unit area vector is:

[0096]

[0097] The similarity factor formula of each basic unit is:

[0098] .

[0099] The sorting module is used to sort according to the similarity factor to determine the influence order of the similarity of each basic unit.

[0100] Example 3

[0101] This embodiment provides a computer-readable storage medium having a computer program stored thereon. When the program is executed by a processor, the method described in Embodiment 1 is implemented.

[0102] Example 4

[0103] This embodiment provides an electronic device, including a processor and a memory. The memory stores computer-executable instructions. When the processor executes the computer-executable instructions stored in the memory, the method described in Embodiment 1 is implemented.

[0104] The above embodiments are only used to illustrate the technical ideas and features of the present invention and are not intended to be exclusive 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 are within the scope of protection of the present invention.

Claims

1. A prefabricated floor slab design method based on fractal geometry box dimension measurement, characterized in that: The following steps are involved: Name each basic unit in the precast floor layout plan and calculate the geometric area of the basic unit; Create a grid of squares with two spacing sizes and place the plan in the grid; Quantitative collection of box dimensions of the overall prefabricated floor plan; Box dimension collection of basic units; Calculate the box dimension impact factor vector of all basic units based on the box dimension: Basic computing unit i The box dimension of the graph and the overall box dimension D 0 absolute value of the difference D ix , measures the influence of basic units 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 after ; The calculation formula of the regularity impact factor of the basic unit is: ； The box dimension influence factor vector of all basic units is: ； 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: ； S3. Sort by similarity factor to determine the order of influence of similarity of each basic unit; the order of similarity factor is also used to determine the module of prefabricated panel.

2. A prefabricated floor slab design system based on fractal geometry box dimension measurement, characterized in that: include: Preparation module: used to name each basic unit in the precast panel layout plane and calculate the geometric area of the basic unit; Used to make square grids with two spacing sizes and place the plane figure in the grid; used to calculate the box dimension of the whole figure and the box dimension of the figure without any basic unit; 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| in, D ix For the 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 dimension of the graphics box after ; The calculation formula of the regularity impact factor of the basic unit is: The box dimension influence factor vector of all basic units is: ； The second calculation module is used to 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: ； Sorting module: used to sort according to the similarity factor to determine the influence order of the similarity of each basic unit.

3. 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 claim 1 is implemented.

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

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