Bulb method of spatial structure

Abstract

The invention discloses a bulb method of a space structure, and belongs to the field of product design and manufacturing. The method is based on a bulb mathematical principle, a bulb mechanical principle and a bulb space principle. A bulb with wall thickness and a bulb fractal geometric structure including a bulb fractal element, a bulb set fractal element and a bulb set are defined, a solid bulb wall filling rule and mechanical analysis optimization are combined, and a solid bulb space structure and solid bulb space application are created. The invention creatively originates from summarization of formation rules of natural selection space structures such as bubbles, shells, eggshells, honeycombs, bone tissues and the like in nature, and provides a fractal geometric creation method of five types of bulb topology contents (virtual, real, virtual-real, bulb centers and similar bulbs). And further forming a mechanical and physical performance optimized universal solid bulb space structure and solid bulb space application by the solid bulb sets at all levels. According to the method, the solid bulb space structure and the solid bulb space application product which are excellent in cost performance can be produced by combining the additive manufacturing technology, the subtractive manufacturing technology and the power-assisted design.

Description

Technical Field

[0001] This invention relates to the field of spatial structure product design, manufacturing, and production. Specifically, it relates to a method for creating spatial structures and their applications based on the mathematical principles, mechanical principles, and spatial principles of bubbles. Background Technology

[0002] Spatial structure design is crucial in fields such as architecture, aviation, aerospace, machinery, engineering, and product manufacturing. The goals pursued include lightweighting, high strength, high stiffness, excellent mechanical properties and material efficiency, as well as meeting specific spatial functional and aesthetic requirements. Nature possesses numerous highly efficient spatial structures, such as the extremely small curved surfaces of bubbles, skeletons, the lightweight, high-strength, multi-cavity and porous structures of honeycombs, and the layered, optimized structures of seashells.

[0003] Existing spatial structure design methods, such as space frames and thin-shell structures, have achieved success in widespread applications, but challenges remain in achieving complex geometries, optimal material distribution, multi-scale synergistic optimization of mechanical properties, and efficient manufacturing. Traditional design and production methods cannot fully imitate and utilize the efficient structural patterns that have evolved and been optimized in nature.

[0004] The development of additive manufacturing (3D printing) and subtractive manufacturing (3D cutting) technologies has made it possible to manufacture complex spatial structures. However, how to systematically design and optimize these structures to achieve excellent mechanical properties, material efficiency, and functional space remains a problem to be solved. Summary of the Invention

[0005] The purpose of this invention is to propose a systematic bubble method, which provides a new approach for optimizing the design and manufacturing of efficient spatial structures and spatial application products by establishing a bubble-based mathematical model, mechanical analysis method, and spatial creation rules.

[0006] The above objectives are achieved through the following technical solutions. A spherical bubble method for spatial structures includes the mathematical principles, mechanical principles, and spatial principles of spherical bubbles. The mathematical principles encompass spherical bubbles and their fractal geometry; the mechanical principles include material mechanics and structural mechanics; and the spatial principles include applications of spherical bubbles in space.

[0007] The aforementioned spatial structure bubble method includes virtual bubbles, real bubbles, virtual and real bubbles, a bubble center, and quasi-bubbles.

[0008] The aforementioned spatial structure bubble method comprises bubble fractal geometry including fractal elements of bubble fractals and bubble set fractals, as well as bubble sets filled with real bubble walls.

[0009] The aforementioned spherical bubble method for spatial structures uses spherical bubble material mechanics to analyze the properties of solid spherical bubble materials and spherical bubble structure mechanics to analyze the properties of solid spherical bubble structures.

[0010] The aforementioned spherical bubble method for spatial structures includes the functional use of spherical bubble space and the assembly and manufacturing of spherical bubble space. Beneficial effects

[0011] 1. The inventiveness of this invention stems from a summary of the formation patterns of spatial structures through natural selection in nature, such as bubbles, seashells, eggshells, honeycombs, and skeletal structures. It proposes a fractal geometric construction method for five categories of bubble topological content (virtual, real, virtual-real, bubble center, and quasi-bubble), thereby forming universally applicable real bubble spatial structures and applications with optimized mechanical and physical properties from the aggregation of real bubbles at various levels. This method can be combined with additive and subtractive manufacturing technologies to facilitate the design and production of cost-effective real bubble spatial structures and applications.

[0012] 2. The main task of the spherical bubble method of this invention is to produce large or small products with lightweight, high-strength spherical bubble structures that are material-saving, resource-saving, cost-effective, safe and reliable under different conditions through additive manufacturing or subtractive manufacturing technology.

[0013] 3. The core feature of the bubble method of this invention is to learn from nature and follow the natural way, and to optimize and minimize the materials used in product manufacturing and production applications by selecting the "creation gene" (basic constituent elements, factors) based on the bubble. Attached Figure Description

[0014] The accompanying drawings of the spherical bubble method of this invention are expressed in a three-dimensional coordinate system, including three coordinate planes XnOnYn, XnOnZn, and YnOnZn and eight octants Ⅰn, Ⅱn, Ⅲn, Ⅳn, Ⅴn, Ⅵn, Ⅶn, and Ⅷn.

[0015] Figure 1 The isometric view of the nth-order virtual bubble (111) or the nth-order bubble fractal element (121).

[0016] Figure 2 The cross-sectional view of the fully filled (124a) solid spherical bubble (112) of the nth-order solid spherical bubble.

[0017] Figure 3 Axonometric view of the lower-order solid spherical bubble filling (124b) for the n-order solid spherical bubble (112).

[0018] Figure 4 for Figure 3 Detailed diagrams of the solid vesicle wall priority (124b1) and the solid vesicle compound eye vesicle-type aggregation (123d1), which can be compared with... Figure 5 Use the content in combination.

[0019] Figure 5 for Figure 3 Detailed diagram of the intersection of the solid spherical bubble walls (124b2) and the plug-in assembly of the solid spherical compound eye (123d2), which can be compared with... Figure 4 Use the content in combination.

[0020] Figure 6 The isometric diagram of fractal element 1 (122a) of the n-level bubble set is provided. The related n-1 level bubble (11) can be set as virtual bubble (111) or real bubble (112) as needed.

[0021] Figure 7 The isometric view shows a solid test block (A) with external geometric dimensions of 300mm × 600mm × 600mm and its base (B). Figure 8 The model serves as a benchmark for comparing the material mechanics (21) and structural mechanics (22) of the bubble. The dashed line represents the half of the volume that has been cut off.

[0022] Figure 8 The skeletal structure test block (C) and the base (D) of the 300mm×600mm×600mm bulb (11) are cross-sectional axonometric drawings. Based on the mechanics principle of bulbs, finite element analysis chromatograms and artificial intelligence optimization and guidance, the grade of the solid bulb (112) gradually decreases from top to bottom, and the cavity and porosity decrease from top to bottom to form a gradient. The dashed line represents the half of the volume that has been cut off.

[0023] Figure 9 The sectional axonometric drawing of the pyramid-shaped gradient stack (E), floor slab (123e) and base (F) with optimized building functional mechanics is shown. The bubble walls and floor slab structures are constructed using the solid bubble wall filling (124) rule. The dashed lines represent the half of the volume that has been cut off. Detailed Implementation

[0024] A spherical bubble method for spatial structures comprises a spherical bubble mathematical principle 1, a spherical bubble mechanical principle 2, and a spherical bubble spatial principle 3. The spherical bubble mathematical principle 1 includes a spherical bubble 11 and a spherical bubble fractal geometry 12; the spherical bubble mechanical principle 2 includes spherical bubble material mechanics 21 and spherical bubble structural mechanics 22; and the spherical bubble spatial principle 3 includes spherical bubble spatial applications 31.

[0025] The aforementioned spatial structure bubble method includes a bubble 11 comprising a virtual bubble 111, a real bubble 112, a virtual-real bubble 113, a bubble center 114, and a quasi-bubble 115.

[0026] The aforementioned spatial structure bubble method includes a bubble fractal geometry 12 comprising a bubble fractal element 121, a bubble set fractal element 122, a bubble set 123, and a solid bubble wall filling 124.

[0027] The aforementioned spherical bubble method for spatial structures uses spherical bubble material mechanics 21 to analyze the material properties of the solid spherical bubble 112, and spherical bubble structure mechanics 22 to analyze the structural properties of the solid spherical bubble 112.

[0028] The aforementioned spherical bubble method with a spatial structure includes a spherical bubble space application 31 comprising a spherical bubble space usage function 311 and a spherical bubble space assembly manufacturing 312.

[0029] Using the principles of bubble mathematics 1, bubble mechanics 2, and bubble space 3, we define, analyze, and construct bubble mathematical algorithms, bubble space structures, and bubble space applications.

[0030] Mathematical Principles of Bubbles 1 Bubble 11: The spherical bubble is the basic geometric unit of this method, defined in a three-dimensional coordinate system, and has a wall thickness.

[0031] Bubble level: Define a bubble level n (where n is a real number). When n is an integer, a bubble of level n is a bubble of level n-1. When n - m > 0 (where n and m are relevant real numbers), a bubble of level n is a bubble of level nm.

[0032] Basic parameters: n-level bulb (11) defines its bulb center as On, its own coordinate system origin as (0,0,0), its inner surface radius as rn, its outer surface radius as Rn, and its wall thickness as △rn, where Rn=rn+△rn, ∞>rn>0, △rn ≥ 0.

[0033] The equation for the inner surface of an n-stage bulb (with On as the origin) is: Xn² + Yn² + Zn² = rn².

[0034] Equation for the outer surface of an nth-order bulb (with On as the origin): Xn² + Yn² + Zn² = Rn².

[0035] Bubble 11 type Virtual Bubble 111: The space Δrn of the bubble wall thickness is not filled with any material or Δrn = 0.

[0036] Solid Bubble 112: A bubble filled with solid bubble walls (124).

[0037] Virtual and real spherical bubbles 113: The set of virtual spherical bubbles 111 and real spherical bubbles 112.

[0038] Bubble center 114: The origin of the bubble's own coordinate system is On, and related bubble centers are associated in the overall coordinate system of the bubble set.

[0039] Bubble-like 115: Similar to the standard bubble geometry, but not completely identical to a non-standard geometric shape (such as a bubble, deformed sphere, ellipsoid, etc.). Its formation and application follow the basic principles of the bubble method.

[0040] Bubble fractal geometry 12: The geometric structure formed by self-similar fractal expansion using bubble fractal element 121 or bubble set fractal element 122, and the related bubble set 123 forms the structural space and spatial application of the product.

[0041] Bubble fractal element 121: The most basic element forming bubble fractal geometry, consisting of an independent bubble 11, which can be set as a virtual bubble 111 or a real bubble 112 as needed.

[0042] Bubble set fractal element 122: An extended element that forms the bubble fractal geometry, composed of multiple related levels of bubbles 11, such as bubble set fractal element 1 (122a). The bubbles 11 in the combination can be set as virtual bubbles 111 or real bubbles 112 as needed.

[0043] Bubble set fractal element 1 (122a): A specific bubble set fractal element 122, consisting of an n-level bubble 11 and eight n-1 level bubbles 11 located in its eight octagons. The n-1 level bubbles are numbered from 1 to 8 (On-1.1 to On-1.8), and their virtuality or realness is determined as needed.

[0044] Bubble set 123: The set formed by related bubbles 11 at various levels, which can be a fractal set or a free set, including the following.

[0045] Virtual bubble set 123a: The set of virtual bubbles 111 of each relevant level.

[0046] Real spherical bubble set 123b: The set of real spherical bubbles 112 of each relevant level.

[0047] The set of virtual and real bubbles 123c: the set of virtual bubbles 111 and real bubbles 112 of each relevant level.

[0048] Solid vesicle compound eye set 123d: A set of solid vesicles or plug-in structures with functional channels.

[0049] Solid vesicle compound eye vesicle type convergence 123d1.

[0050] Solid spherical compound eye plug-in collection 123d2.

[0051] Floor 123e: A solid spherical bubble assembly structure that functions as a building floor slab.

[0052] Solid spherical bubble wall filling 124: Filling method for the space △rn of solid spherical bubble wall thickness 112.

[0053] Solid bubble wall fully filled 124a: The solid material is completely filled within the bubble wall thickness space △rn.

[0054] Filling the lower-level solid spherical bubble wall of the upper-level solid spherical bubble 124b: The method of filling the upper-level (n-level) solid spherical bubble wall thickness space △rn with a lower-level (e.g., nx-level) solid spherical bubble 112, where nx>0.

[0055] Solid spherical bubble wall priority 124b1: The wall of a lower-grade solid spherical bubble has priority. For solid spherical bubbles of the same grade whose walls intersect, a priority number can be set to prioritize the wall thickness of the solid spherical bubble.

[0056] Solid spherical bubble wall intersection 124b2: When relevant solid spherical bubble walls intersect, the thickness at the intersecting plane is set as required, and redundant solids in the intersecting part can be removed.

[0057] Bubble mechanics principle 2: Provides material mechanics and structural mechanics theoretical support for lightweight, high-strength products formed by assemblies of bubbles.

[0058] Bubble Material Mechanics 21: This research focuses on solid spherical bubbles 112 and their assemblies 123, and their material applications. The core objective is to optimize material utilization through fractal geometric porous structures (such as bubble-like structures and skeletons). The lightweight advantage lies in filling the solid spherical bubble walls 124 to form fractal and hierarchical cavities and pores, significantly improving strength and stiffness (e.g., under equal mass conditions) Figure 8 By comparing the mechanical properties of specimen C with those of solid A, a fractal scale (n value)-porosity-mechanical property mapping model is established to guide the lightweight design of materials and structures under specific working conditions and to establish the cavity and pore gradient distribution.

[0059] Spherical Bubble Structural Mechanics 22: Analyzing the structural performance of a real spherical bubble assembly 123 to maximize load-bearing efficiency. Applying fractal elements 121 or 122 of the spherical bubble assembly, such as... Figure 6 fractal formation of bubble set fractal element 1 (122a) Figure 9 The mechanical properties of pyramid-shaped gradient stacks are improved through finite element analysis chromatograms and artificial intelligence optimization, which directionally guides and strengthens stress transfer paths and increases the critical buckling load. Figure 8 Cavity and pore gradient design.

[0060] Bubble Space Principle 3 Bubble Space Usage Function 311: Through the synergistic application of the mathematical principle 1 and mechanical principle 2 of the bubble with product design, specific needs (such as architectural space, related passages and product applications) are met, resulting in optimized functionality and aesthetic effects.

[0061] Bubble Space Assembly Manufacturing 312: Using additive manufacturing (3D printing) or subtractive manufacturing (3D cutting) technologies to manufacture and produce products based on the bubble assembly 123.

[0062] Additive manufacturing (3D printing) of spherical space assembly: a method of additive manufacturing of solid spherical assemblies 123. During manufacturing and production, a minimum n-level solid spherical assemblies are set as the maximum precision. For details smaller than this n-value, the default precision of the manufacturing equipment is used for processing.

[0063] Subtractive manufacturing (3D cutting) of spherical bubble spatial assembly manufacturing: a method of subtractive manufacturing of solid spherical bubble assembly 123. During manufacturing and production, a minimum n-level solid spherical bubble is set as the maximum precision. For details smaller than this n value, the default precision of the manufacturing equipment is used for processing.

[0064] Figure 8 The model shown can be realized through additive manufacturing (3D printing) or subtractive manufacturing (3D cutting). This model uses isotropic materials and, through the bulb molding method, can achieve the same mechanical properties as... Figure 7 The physical standard test block (A) significantly saves materials. By adjusting the bulb parameters, such as fractal grade distribution, wall thickness, and filling rules, this method is applicable to the structural and spatial optimization design, manufacturing, and production tasks of a variety of organic materials (such as polymers and biomaterials) and inorganic materials (such as metals, ceramics, and concrete).

Claims

1. A spatially structured bubble method, characterized by: It includes the mathematical principles of a bubble (1), the mechanical principles of a bubble (2), and the spatial principles of a bubble (3). The mathematical principles of a bubble (1) include a bubble (11) and fractal geometry of a bubble (12), the mechanical principles of a bubble (2) include the material mechanics of a bubble (21) and the structural mechanics of a bubble (22), and the spatial principles of a bubble (3) include the spatial applications of a bubble (31).

2. The spherical bubble method with a spatial structure according to claim 1, characterized in that: Bubbles (11) include virtual bubbles (111), real bubbles (112), virtual and real bubbles (113), bubble centers (114), and quasi-bubbles (115).

3. The spherical bubble method with a spatial structure according to claim 1, characterized in that: Bubble fractal geometry (12) includes bubble fractal elements (121), bubble set fractal elements (122), bubble set (123), and solid bubble wall filling (124).

4. The spherical bubble method with a spatial structure according to claim 1, characterized in that: The mechanics of the bulb material (21) is used to analyze the material properties of the solid bulb (112), and the mechanics of the bulb structure (22) is used to analyze the structural properties of the solid bulb (112).

5. The spherical bubble method with a spatial structure according to claim 1, characterized in that: Bubble space application (31) includes bubble space usage function (311) and bubble space assembly manufacturing (312).

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