Building holographic mathematical model construction method, building holographic mathematical model and application

Abstract

The invention relates to a building holographic mathematical model construction method, a building holographic mathematical model and application, and the method comprises the steps: discretizing a building into a finite number of units through a finite element method, and obtaining an interaction equation between the units; solving boundary conditions through a boundary element method; acquiring data of geometrical relationships and physical connection modes among the units; constructing a holographic mathematical model by adopting a formula; outputting the obtained building holographic mathematical model; by applying the method, the advantages of the finite element method and the boundary element method are combined, the accuracy and the solving efficiency of the constructed building holographic mathematical model can be improved, and the method is particularly suitable for a large-scale complex building model construction scene; the method also describes the structure, appearance, material and physical relationship of the building body, and has better comprehensiveness.

Description

Technical Field

[0001] The present invention relates to the technical field of architectural design, and more specifically, to a method for constructing an architectural holographic mathematical model, an architectural holographic mathematical model and an application thereof. Background Art

[0002] Building design and analysis traditionally rely on physical models and the finite element method (FEM). Finite element analysis replaces complex problems with simpler ones and then solves them. It regards the solution domain as consisting of many small interconnected subdomains called finite elements, assumes a suitable (simpler) approximate solution for each unit, and then derives the overall conditions that satisfy the domain (such as the equilibrium conditions of the structure) to obtain the solution to the problem. Because the actual problem is replaced by a simpler problem, the solution is not an exact solution, but an approximate solution, which may be time-consuming and inaccurate.

[0003] Boundary Element Method (BEM) is a new numerical method developed after FEM. Different from the basic idea of ​​FEM to divide units in the continuum domain, BEM divides units only on the boundary of the definition domain and uses functions that satisfy the control equation to approximate the boundary conditions. Therefore, compared with FEM, BEM has the advantages of fewer units and simpler data preparation. However, when using BEM to solve nonlinear problems, regional integrals corresponding to nonlinear terms are encountered. This integral has strong singularity near the singular point, making it difficult to solve.

[0004] At present, the finite element method and the boundary element method are used separately and independently. There is a need for a holographic mathematical model of a building that can combine the advantages of both and comprehensively describe the structure, appearance, materials and physical relationships of the building. Summary of the invention

[0005] The technical problem to be solved by the present invention is to provide a method for constructing a building holographic mathematical model in view of the above-mentioned defects of the prior art, and also to provide a building holographic mathematical model and an application of the building holographic mathematical model.

[0006] The technical solution adopted by the present invention to solve its technical problem is:

[0007] A method for constructing a building holographic mathematical model is constructed, wherein the method comprises the steps of:

[0008] The building is discretized into a finite number of units by the finite element method, and the interaction equations between the units are obtained;

[0009] Solve boundary conditions by boundary element method;

[0010] Obtain data on the geometric relationship and physical connection between units;

[0011] The holographic mathematical model is constructed using the formula:

[0012]

[0013] Among them, xi is the finite number of units that make up the building. Represents the interaction equation of all units; Rij represents the set of relationships and constraints between the i-th unit and the j-th unit. Relationship refers to the geometric relationship and physical connection between two units, and constraint refers to the project restriction conditions between units; mi represents the set of physical properties of unit xi; gi represents the geometric properties of unit xi; the boundary condition of each unit is one of the Rij elements. In the design process, it is a process of gradually clarifying Rij;

[0014] The output is the holographic mathematical model of the building.

[0015] In the method for constructing a holographic mathematical model of a building described in the present invention, the physical properties include one or more of strength, mechanical properties, thermodynamic properties, airtight properties, and thermal conductivity properties.

[0016] A building holographic mathematical model, wherein the building holographic mathematical model is generated by the above-mentioned building holographic mathematical model construction method.

[0017] An application of an architectural holographic mathematical model, based on the above-mentioned architectural holographic mathematical model, wherein the architectural holographic mathematical model is applied to AI automated architectural design and modeling.

[0018] An application of a building holographic mathematical model, based on the above-mentioned building holographic mathematical model, wherein the building holographic mathematical model is applied to AI building structure analysis.

[0019] An application of a building holographic mathematical model, based on the above-mentioned building holographic mathematical model, wherein the building holographic mathematical model is applied to the parameterization and optimization functions of AI building structure optimization design.

[0020] An application of an architectural holographic mathematical model, based on the above-mentioned architectural holographic mathematical model, wherein the architectural holographic mathematical model is applied to a graphical tool for visualizing model results.

[0021] The beneficial effects of the present invention are as follows: by applying the method of the present application, the advantages of both the finite element method and the boundary element method are combined, and the accuracy and solution efficiency of the constructed architectural holographic mathematical model can be improved, which is particularly suitable for large and complex architectural model construction scenes. In addition, the method also describes the structure, appearance, materials and physical relationships of the building, and has better comprehensiveness; the invention has great commercial potential and can be used in various architectural design and analysis applications. It can help architects and engineers design safer, more efficient and more sustainable buildings. BRIEF DESCRIPTION OF THE DRAWINGS

[0022] In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the present invention will be further described below in conjunction with the accompanying drawings and embodiments. The drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without creative work:

[0023] Figure 1 It is a flow chart of the method for constructing a building holographic mathematical model according to a preferred embodiment of the present invention. DETAILED DESCRIPTION

[0024] In order to make the purpose, technical solutions and advantages of the embodiments of the present invention clearer, the following will be described clearly and completely in combination with the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are partial embodiments of the present invention, not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work belong to the protection scope of the present invention.

[0025] The method for constructing a building holographic mathematical model in a preferred embodiment of the present invention is as follows: Figure 1 As shown, the method comprises the steps of:

[0026] S01: Discretize the building into a finite number of units using the finite element method and obtain the interaction equations between the units;

[0027] S02: Solve boundary conditions by boundary element method;

[0028] S03: Obtaining data on geometric relationships and physical connections between units;

[0029] S04: Use the formula to construct the holographic mathematical model, the formula is:

[0030]

[0031] Among them, xi is the finite number of units that make up the building. Represents the interaction equation of all units; Rij represents the set of relationships and constraints between the i-th unit and the j-th unit. Relationship refers to the geometric relationship and physical connection between two units. Constraint refers to the project restriction conditions between each unit. This constraint will have different restrictions under different goals. This constraint includes not only physical size restrictions but also physical property restrictions. Simply put, each unit is restricted and related to other units; mi represents the set of physical properties of unit xi; gi represents the geometric properties of unit xi; the boundary condition of each unit is one of the Rij elements. In the design process, it is a process of gradually clarifying Rij;

[0032] S05: Output the obtained architectural holographic mathematical model;

[0033] The method and approach of the present application combines the advantages of the finite element method and the boundary element method, and the accuracy and solution efficiency of the constructed architectural holographic mathematical model can be improved, which is particularly suitable for large-scale complex architectural model construction scenes. In addition, the method also describes the structure, appearance, materials and physical relationships of the building, and has better comprehensiveness. The invention has great commercial potential and can be used in various architectural design and analysis applications. It can help architects and engineers design safer, more efficient and more sustainable buildings.

[0034] It should be noted that the order of the steps S01 and S02 can be swapped.

[0035] Among them, the physical properties of the material may include:

[0036] Physical properties: density, porosity; water-related properties (hydrophilicity, hydrophobicity, water absorption rate, water saturation rate), heat capacity, conductivity, etc.

[0037] Mechanical properties: the ability to resist static and dynamic loads. Static refers to the material's tensile, compressive, bending, shear and other strength evaluations; dynamic mechanical properties can be evaluated by the material's resistance to wear, light, impact, fatigue, etc.

[0038] Durability: including weather resistance, chemical corrosion resistance, impermeability, weathering resistance and other aspects.

[0039] Chemical properties: will affect the durability, mechanical properties, thermal properties, etc. of the material.

[0040] Process performance: refers to the performance of materials under certain processing conditions, such as the fluidity, workability, stability, etc. of concrete.

[0041] Other properties: such as thermal properties (thermal conductivity, specific heat, etc.), decorative and aesthetic properties, etc.

[0042] A building holographic mathematical model, wherein the building holographic mathematical model is generated by the above-mentioned building holographic mathematical model construction method.

[0043] An application of an architectural holographic mathematical model, wherein the architectural holographic mathematical model is applied to AI automated architectural design and modeling; the modeling process is the process of gradually determining the parameter values ​​in the holographic mathematical model, and different values ​​combine different buildings. The design process of human designers is also a process in which different professionals determine these parameters, and the same is true for AI automated modeling.

[0044] An application of an architectural holographic mathematical model, wherein the architectural holographic mathematical model is applied to AI architectural structure analysis; the modeling process is the process of gradually determining the parameter values ​​in the holographic mathematical model, and different values ​​combine different buildings. The design process of human designers is also a process in which different professionals determine these parameters, and the same is true for AI automated modeling.

[0045] An application of an architectural holographic mathematical model, wherein the architectural holographic mathematical model is applied to the parameterization and optimization functions of AI architectural structure optimization design; the modeling process is the process of gradually determining the parameter values ​​in the holographic mathematical model, and different values ​​combine different buildings. The design process of human designers is also a process in which different professionals determine these parameters, and the same is true for AI automated modeling.

[0046] An application of an architectural holographic mathematical model, wherein the architectural holographic mathematical model is applied to a graphical tool for visualizing model results; the modeling process is the process of gradually determining the parameter values ​​in the holographic mathematical model, and different values ​​combine different buildings. The design process of human designers is also a process in which different professionals determine these parameters, and the same is true for AI automated modeling.

[0047] It should be understood that those skilled in the art can make improvements or changes based on the above description, and all these improvements and changes should fall within the scope of protection of the appended claims of the present invention.

Claims

1. A method for constructing a building holographic mathematical model, characterized in that: The method comprises the steps of: The building is discretized into a finite number of units by the finite element method, and the interaction equations between the units are obtained; Solve boundary conditions by boundary element method; Obtain data on the geometric relationship and physical connection between units; The holographic mathematical model is constructed using the formula: Among them, xi is the finite number of units that make up the building. Represents the interaction equation of all units; Rij represents the set of relationships and constraints between the i-th unit and the j-th unit. Relationship refers to the geometric relationship and physical connection between two units, and constraint refers to the project restriction conditions between units; mi represents the set of physical properties of unit xi; gi represents the geometric properties of unit xi; the boundary condition of each unit is one of the Rij elements. In the design process, it is a process of gradually clarifying Rij; The output is the holographic mathematical model of the building.

2. The method for constructing a holographic mathematical model of an architecture according to claim 1, characterized in that: The physical properties include one or more of strength, mechanical properties, thermodynamic properties, airtight properties, and thermal conductivity properties.

3. A holographic mathematical model of an architecture, characterized in that: The architectural holographic mathematical model is generated by the architectural holographic mathematical model construction method described in any one of claims 1-2.

4. An application of a building holographic mathematical model, the building holographic mathematical model according to claim 3, characterized in that: The architectural holographic mathematical model is applied to AI automated architectural design and modeling.

5. An application of a building holographic mathematical model, the building holographic mathematical model according to claim 3, characterized in that: The architectural holographic mathematical model is applied to AI architectural structure analysis.

6. An application of a building holographic mathematical model, the building holographic mathematical model according to claim 3, characterized in that: The architectural holographic mathematical model is applied to the parameterization and optimization functions of AI architectural structure optimization design.

7. An application of a building holographic mathematical model, the building holographic mathematical model according to claim 3, characterized in that: The architectural holographic mathematical model is applied to a graphical tool for visualizing model results.

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