CN106650124A - Continuum surface lightweighting method based on finite element result - Google Patents
Continuum surface lightweighting method based on finite element result Download PDFInfo
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Abstract
The invention discloses a continuum surface lightweighting method based on a finite element result, and belongs to the technical field of structural optimization. The method comprises the following steps: performing mesh generation on a demand surface, and applying a demand boundary condition to perform mechanical calculation; performing block subdivision on a design region according to a surface shape, and establishing a corresponding relation between blocks and finite element computing elements; making statistics of unit result distribution in the blocks according to an finite element computing result in the blocks, and establishing a poriform surface comprising lattices with different sizes. According to the method, the distribution of structural grid density is driven through a finite element simulation result, curved surface essential data is segmented and reconstructed, the method focuses on the visual feedback of the finite element result, large-scale iterative trial during topological optimization is avoided by controlling the random reticular density to be associated with the finite element result, the shape forming of a structure is quickened, the lightweighting generation process of a surface structure is simplified, and the method is particularly suitable for material additive manufacturing.
Description
Technical field
The present invention relates to a kind of structural optimization method of product, more particularly, it relates to a kind of based on finite element result
Non-individual body surface light weight method, simplifies the lightweight generating process of surface class formation, is especially suitable for increasing material manufacturing.
Background technology
The application of increment manufacturing technology starts from the eighties in 20th century, cover product development, data visualization, rapid shaping and
Specialities manufacture field.The nineties increment manufacturing technology in production field (batch production, a large amount of productions and distributed system
Make) application have further development.The production of early stage 21 century increment also reaches for the first time in industrial metal processing sectors
Unprecedented scale is arrived.At the beginning of 21 century, increment manufacture related equipment sales volume is significantly increased, and price declines to a great extent.Consulting is public
Department Wohlers Associates claim, and the value of 3D printers in 2012 and 3D printing service in the whole world is 2,200,000,000 dollars, than
Increase by 29% within 2011.Increment manufacturing technology also derives many application services simultaneously, covers building, engineering-built (AEC), work
Industry design, automobile, aviation, military affairs, engineering science, oral cavity and medical industry, biotechnology (human organ transplant), fashion, footwear,
The fields such as jewelry, glasses, educational administration, GIS-Geographic Information System, diet.
As the 3D printing demand for customizing constantly increases, more creative high performance lightweight structure material is needed
Material.All trades and professions just build using topological optimization technology very early the efficient light-type innovative design of structure.The technology is especially fitted
Conjunction is used in combination with 3D printing, because topological optimization can produce free-form organic structure, and such structure is passed
System manufacture method is generally difficult to even to realize.Thus, due to being limited by specific production procedure, optimization design concept
Efficiency be also possible to fail.3D printing provides unprecedented form and makes the free degree, and it is mutually tied with topological optimization technology
Close, also make design show go out higher creativeness while holding structure integrality and attribute of performance.
Topological optimization technology applies to the physical model of clear and definite mechanical condition, can create highly efficient structure mould
Type, but due to raw shape during, parameter is more, and the selection to boundary condition is relative complex, and topological calculating process is relatively long, if
Meter teacher operative skill requires higher；Relatively indefinite for some mechanical boundaries, the complicated situation of working condition often cannot
Light weight metaplasia shape is quickly carried out, the cost of modeling is not only increased and be increased design time.
Gridding technology has applied in a large number medical 3D printing material, and porous is used as to biomedical implants
Functional Requirement, it is also particularly important, similar to flat structural member still lack maturation fast fast-growing shape strategy, therefore in order to
Realize such it is structure lightened quickly manufacture and design and ensure excellent mechanical property, on the basis of Topology Optimization,
Propose a kind of surface light weight method based on finite element result, it is ensured that structure has the premise compared with high structural strength and rigidity
Under, material consumption is greatly lowered, while possessing patterned surface attractive in appearance.
Because traditional topological optimization optimum results are more single, typical mechanics streamline and feature are shown, it is most of
In the case of can meet industry and engine request, but less for similar to stress such as medical protective equipments, rigidity requirement is higher, has concurrently
The product of aesthetic, conventional topologies optimisation technique is difficult to preferably be optimized achievement.
The content of the invention
1. the invention technical problem to be solved
It is an object of the invention to provide a kind of non-individual body surface light weight method based on finite element result, using this
Bright technical scheme, using FEM Numerical Simulation, the distribution of driving structure mesh-density, by curved surface class basic data segmentation weight
Structure, the method focuses on the visual feedback of finite element result, is associated with finite element result by controlling random reticular density, keeps away
Exempt from large-scale iteration tentative calculation in process of topology optimization, accelerated the raw shape of structure, simplify the lightweight of surface class formation
Generating process, is especially suitable for increasing material manufacturing.
2. technical scheme
To reach above-mentioned purpose, the technical scheme that the present invention is provided is：
A kind of non-individual body surface light weight method based on finite element result of the present invention, comprises the steps of：
(1) FEM meshing and point domain divide：FEM meshing is carried out to non-individual body surface, applies perimeter strip
Part carries out mechanics FEM calculation；Block division is carried out to design section according to non-individual body surface configuration, set up block with it is limited
Corresponding relation between first grid；
(2) random point arrangement：According to the distribution of result of finite element, arrange in different blocks different densities with
Machine point；
(3) random point structuring：According to the distribution of random point, surface structuration is carried out using structuring algorithm, put down
Surface grids；
(4) hypostazation：Plane grid is entered into line displacement to thicken, printable physical grid is formed, while segmenting net
Lattice simultaneously carry out entity fairing；
(5) strength modification：The non-individual body of hypostazation is re-started into FEM meshing, and carries out finite element strength point
Analysis, if intensity cannot meet, again from the beginning of step (4), to the non-individual body of hypostazation thickening overstriking is carried out, and is finally expired
The model of sufficient design requirement.
Preferably, in step (1), block can be evenly sized block, or block of different sizes, area
The size Definition Principles of block are：It is foundation by grid result of calculation index variance is constant in block.
It is further preferred that the size of each block defines concrete grammar being：Non-individual body surface is carried out into finite element grid to draw
Point, and polygon block division is carried out, computing unit maximum stress is σ in blockmax, stress mean value be E (P), variance D
(P), each block internal variance D (P) value should meet D (P)≤[D (P)]+Δ, and Δ is tolerance value, if certain block is unsatisfactory for above formula
Require, reduce and rearranged after the block size.
Preferably, in step (2), by following principle random point is arranged：
(2-1) uniformly random point is disturbed according to result of finite element value, forms the random dot matrix of poly- tropism；
(2-2) random uniform point, according to the arrangement correspondence number uniform in size of result of finite element in design block with
Machine point.
Preferably, in step (3), surface texture is carried out using Delaunay triangulation network or Voronoi polygons principle
Change.
Preferably, in step (4), have grid using the subdivision of Catmull-Clark algorithms and carry out entity fairing.
3. beneficial effect
The technical scheme provided using the present invention, compared with existing known technology, with following remarkable result：
(1) a kind of non-individual body surface light weight method based on finite element result of the invention, it utilizes finite element simulation
As a result, the distribution of driving structure mesh-density, the segmentation of curved surface class basic data is reconstructed, and the method focuses on finite element result
Visual feedback, be associated by controlling random reticular density with finite element result, it is to avoid in process of topology optimization on a large scale
Iteration tentative calculation, accelerates the raw shape of structure, simplifies the lightweight generating process of surface class formation, is especially suitable for increasing material manufacturing；
(2) a kind of non-individual body surface light weight method based on finite element result of the invention, its design process is easy easily
Control, lightweight structure result can carry out hole density customization according to the hobby of user；
(3) a kind of non-individual body surface light weight method based on finite element result of the invention, its structure is less in stress
Block still remains a structural member, therefore structure has higher redundancy to unpredictable force status；
(4) a kind of non-individual body surface light weight method based on finite element result of the invention, its design result can be simultaneous
Tool robustness and bionical aesthetic property.
Description of the drawings
Fig. 1 is a kind of design flow diagram of non-individual body surface light weight method based on finite element result of the present invention；
Fig. 2 is that a kind of finite element block of embodiment in the present invention divides schematic diagram；
Fig. 3 is a kind of random point arrangement schematic diagram of embodiment in the present invention；
Fig. 4 is a kind of random point structuring plane grid schematic diagram of embodiment in the present invention；
Fig. 5 is a kind of non-individual body surface light weighed model schematic diagram of embodiment in the present invention.
Specific embodiment
To further appreciate that present disclosure, in conjunction with the accompanying drawings and embodiments the present invention is described in detail.
Embodiment
With reference to shown in Fig. 1, a kind of non-individual body surface light weight method based on finite element result of the present embodiment, comprising with
Lower step：
(1) FEM meshing and point domain divide：FEM meshing is carried out to non-individual body surface, grid is arranged
Material character and surface thickness information, applying boundary condition (load boundaries condition and restrained boundary condition) carries out mechanics finite element
Calculate, obtaining unit strain energy result (referring to as shown in Figure 2)；Block is carried out to design section according to non-individual body surface configuration to draw
Point, the corresponding relation set up between block and finite element grid；In the present embodiment, block can be evenly sized block,
Can also be block of different sizes, the size Definition Principles of block are：It is constant by grid result of calculation index variance in block
It is foundation, for example, non-individual body surface is carried out into FEM meshing, and carry out polygon block division, calculates single in block
First maximum stress is σmax, stress mean value is E (P), and variance D (P), each block internal variance D (P) value should meet D (P)≤[D
(P)]+Δ, Δ is tolerance value, if certain block is unsatisfactory for above formula requirement, reduces and is rearranged after the block size.
(2) random point arrangement：According to the distribution of result of finite element, arrange in different blocks different densities with
Machine point (shown in Figure 3)；The arrangement of random point can be by following principle：
(2-1) uniformly random point is disturbed according to result of finite element value, forms the random dot matrix of poly- tropism；
(2-2) random uniform point, according to the arrangement correspondence number uniform in size of result of finite element in design block with
Machine point.
In the present embodiment, quadrangle block (as shown in Figure 3) is simply divided into, according to strain grid energy density calculation block
Average, each design block carries out identical calculating, obtains mean strain energy density in block
According to the random points N of single block benchmark of setting, carry out each block and count at random calculating,N is arranged in i regionsi
The random point of quantity.
(3) random point structuring：According to the distribution of random point, surface structuration is carried out using structuring algorithm, put down
Surface grids (shown in Figure 4)；Specifically, surface knot can be carried out using Delaunay triangulation network or Voronoi polygons principle
Surface structuration is carried out using Voronoi polygons in structure, such as Fig. 4.
(4) hypostazation：Plane grid is entered into line displacement to thicken, printable physical grid is formed, while segmenting net
Lattice simultaneously carry out entity fairing, the final grid body (as shown in Figure 5) for obtaining entity closing；Specifically, using Catmull-
The existing grid of Clark algorithms subdivision simultaneously carries out entity fairing.
(5) strength modification：The non-individual body of hypostazation is re-started into FEM meshing, and imports finite element software
Row finite Element Intensity Analysis, if intensity cannot meet, again from the beginning of step (4), thicken to the non-individual body of hypostazation
Overstriking, final to obtain the model for meeting design requirement, referable carries out 3D printing production.
A kind of non-individual body surface light weight method based on finite element result of the present invention, grid is carried out to demand surface and is drawn
Point, applying demand boundary condition carries out Mechanics Calculation；According to surface configuration be designed region block divide, set up block with
Finite element calculating unit corresponding relation；According to the result of finite element in block, unit distribution of results in statistics block, set up
The perforated surface of lattice composition of different sizes；Finite element optimization feedback strategy is established, is generated with the random hole rule of variable density
Lightweight structure.The method focuses on the visual feedback of finite element result, by controlling random reticular density and finite element result
It is associated, it is to avoid large-scale iteration tentative calculation in process of topology optimization, accelerates the raw shape of structure, simplifies surface class formation
Lightweight generating process, be especially suitable for increasing material manufacturing；Process simplicity is easily-controllable, and lightweight structure result can be according to the hobby of user
Carry out hole density customization；Simultaneously design result can have robustness and bionical aesthetic property concurrently.
Below schematically to the present invention and embodiments thereof be described, the description does not have restricted, institute in accompanying drawing
What is shown is also one of embodiments of the present invention, and actual structure is not limited thereto.So, if the common skill of this area
Art personnel enlightened by it, in the case of without departing from the invention objective, without creatively designing and the technical scheme
Similar frame mode and embodiment, all should belong to protection scope of the present invention.
Claims (6)
1. a kind of non-individual body surface light weight method based on finite element result, it is characterised in that comprise the steps of：
(1) FEM meshing and point domain divide：FEM meshing is carried out to non-individual body surface, is applied boundary condition and is entered
Row mechanics FEM calculation；Block division is carried out to design section according to non-individual body surface configuration, block and finite element net is set up
Corresponding relation between lattice；
(2) random point arrangement：According to the distribution of result of finite element, the random of different densities is set in different blocks
Point；
(3) random point structuring：According to the distribution of random point, surface structuration is carried out using structuring algorithm, obtain plane net
Lattice；
(4) hypostazation：Plane grid is entered into line displacement to thicken, printable physical grid is formed, while the existing grid of subdivision is simultaneously
Carry out entity fairing；
(5) strength modification：The non-individual body of hypostazation is re-started into FEM meshing, and carries out finite Element Intensity Analysis,
If intensity cannot meet, again from the beginning of step (4), thickening overstriking is carried out to the non-individual body of hypostazation, finally met
The model of design requirement.
2. a kind of non-individual body surface light weight method based on finite element result according to claim 1, it is characterised in that：
In step (1), block can be evenly sized block, or block of different sizes, the size of block defines original
It is then：It is foundation by grid result of calculation index variance is constant in block.
3. a kind of non-individual body surface light weight method based on finite element result according to claim 2, it is characterised in that：
The size of each block defines concrete grammar：Non-individual body surface is carried out into FEM meshing, and carries out polygon block to draw
Point, computing unit maximum stress is σ in blockmax, stress mean value is E (P), and variance D (P), each block internal variance D (P) value should
Meet D (P)≤[D (P)]+Δ, Δ is tolerance value, if certain block is unsatisfactory for above formula requirement, reduce weight after the block size
New arrangement.
4. a kind of non-individual body surface light weight method based on finite element result according to claim 1, it is characterised in that：
In step (2), by following principle random point is arranged：
(2-1) uniformly random point is disturbed according to result of finite element value, forms the random dot matrix of poly- tropism；
(2-2) random uniform point, according to the random point of the arrangement correspondence number uniform in size of result of finite element in design block.
5. a kind of non-individual body surface light weight method based on finite element result according to claim 1, it is characterised in that：
In step (3), surface structuration is carried out using Delaunay triangulation network or Voronoi polygons principle.
6. a kind of non-individual body surface light weight method based on finite element result according to claim 1, it is characterised in that：
In step (4), have grid using the subdivision of Catmull-Clark algorithms and carry out entity fairing.
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| CN108920796A (en) * | 2018-06-22 | 2018-11-30 | 大连理工大学 | A kind of lattice structure building method towards increasing material manufacturing based on finite element grid |
| CN110059332A (en) * | 2017-12-24 | 2019-07-26 | 达索系统公司 | The design of the 3D finite element grid of 3D component comprising lattice structure |
| CN110083878A (en) * | 2019-04-01 | 2019-08-02 | 李斌 | A kind of preparation method and preparation facilities of personalization support construction |
| CN110750927A (en) * | 2019-10-08 | 2020-02-04 | 谢亿民工程科技（常州）有限公司 | Method and system for generating lightweight structure of surface of continuum based on finite element result |
| CN111125818A (en) * | 2019-12-12 | 2020-05-08 | 河南大学 | Novel cross node based on bionic substructure topology optimization and optimization method |
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| CN110059332A (en) * | 2017-12-24 | 2019-07-26 | 达索系统公司 | The design of the 3D finite element grid of 3D component comprising lattice structure |
| CN108920796B (en) * | 2018-06-22 | 2020-06-02 | 大连理工大学 | Lattice structure construction method based on finite element grid and oriented to additive manufacturing |
| CN108920796A (en) * | 2018-06-22 | 2018-11-30 | 大连理工大学 | A kind of lattice structure building method towards increasing material manufacturing based on finite element grid |
| CN110083878A (en) * | 2019-04-01 | 2019-08-02 | 李斌 | A kind of preparation method and preparation facilities of personalization support construction |
| CN110750927A (en) * | 2019-10-08 | 2020-02-04 | 谢亿民工程科技（常州）有限公司 | Method and system for generating lightweight structure of surface of continuum based on finite element result |
| CN111125818A (en) * | 2019-12-12 | 2020-05-08 | 河南大学 | Novel cross node based on bionic substructure topology optimization and optimization method |
| CN112590219A (en) * | 2020-10-21 | 2021-04-02 | 大连理工大学 | 3D printing filling path generation method based on random points |
| CN112560125A (en) * | 2020-12-10 | 2021-03-26 | 上海联泰科技股份有限公司 | Generation method, generation system and preprocessing system of lattice structure model |
| CN112560125B (en) * | 2020-12-10 | 2023-03-24 | 上海联泰科技股份有限公司 | Generation method, generation system and preprocessing system of lattice structure model |
| CN113268840A (en) * | 2021-05-31 | 2021-08-17 | 湖南奥翔晟机电科技有限公司 | Topology optimization method and system of electronic wire harness |
| CN113268840B (en) * | 2021-05-31 | 2022-06-14 | 湖南奥翔晟机电科技有限公司 | Topology optimization method and system of electronic wire harness |
| CN117173370A (en) * | 2023-11-03 | 2023-12-05 | 北京飞渡科技股份有限公司 | Method for maintaining object boundary in light weight process |
| CN117173370B (en) * | 2023-11-03 | 2024-03-01 | 北京飞渡科技股份有限公司 | Method for maintaining object boundary in light weight process |
| CN118428179A (en) * | 2024-07-03 | 2024-08-02 | 广东恩浩内衣实业有限公司 | Shoe heel counter integral forming method and shoe heel counter |
| CN118428179B (en) * | 2024-07-03 | 2024-09-17 | 广东恩浩内衣实业有限公司 | Shoe heel counter integral forming method and shoe heel counter |
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