本文選題：體網(wǎng)格編輯 + 體網(wǎng)格重生成　； 參考：《浙江大學(xué)》2014年博士論文

【摘要】：在使用有限元分析進(jìn)行產(chǎn)品設(shè)計(jì)驗(yàn)證的過(guò)程中,需要將產(chǎn)品的幾何模型離散為相應(yīng)的有限元網(wǎng)格模型以支持分析求解,并且為了達(dá)到設(shè)計(jì)目標(biāo),設(shè)計(jì)和分析通常是一個(gè)反復(fù)迭代的過(guò)程,其中的再分析特別是網(wǎng)格重生成非常耗時(shí)。因此,為了提高產(chǎn)品設(shè)計(jì)開(kāi)發(fā)的效率,必須提高有限元網(wǎng)格的重新生成效率。網(wǎng)格編輯正是一種高效的網(wǎng)格重新生成技術(shù),其通過(guò)重用原有的有限元網(wǎng)格,能夠快速得到用于再分析的新網(wǎng)格模型,并有助于加強(qiáng)產(chǎn)品設(shè)計(jì)模型與有限元網(wǎng)格模型之間的關(guān)聯(lián)互動(dòng)。為此,以提高有限元網(wǎng)格重生成的效率和質(zhì)量為目標(biāo),本文對(duì)三維有限元網(wǎng)格編輯技術(shù)展開(kāi)研究。論文的主要工作包括以下幾個(gè)方面：提出一種CAD模型變動(dòng)驅(qū)動(dòng)的四面體網(wǎng)格編輯方法首先根據(jù)CAD模型的變動(dòng),依據(jù)網(wǎng)格劃分的逼近度要求,以及變動(dòng)區(qū)域附近網(wǎng)格單元密度函數(shù)的變化,確定原始網(wǎng)格中的可重用單元；然后提取保留單元與被移除單元之間的邊界網(wǎng)格面和邊界網(wǎng)格邊,并將其用于構(gòu)建需要進(jìn)行網(wǎng)格重生成的變動(dòng)區(qū)域；最后使用Delaunay方法生成新的網(wǎng)格單元。該方法能夠提高網(wǎng)格的重新生成效率,并在網(wǎng)格編輯的過(guò)程中保證單元的幾何密度自適應(yīng)性。提出一種基于對(duì)偶操作和直接編輯操作的六面體網(wǎng)格編輯方法通過(guò)對(duì)其幾何模型進(jìn)行直接編輯,實(shí)現(xiàn)對(duì)六面體網(wǎng)格模型的有效變形。為了優(yōu)化變形后的網(wǎng)格模型,首先高效地將網(wǎng)格模型轉(zhuǎn)換為表面體網(wǎng)格單元質(zhì)量較好的元網(wǎng)格；然后使用較為整體的對(duì)偶操作進(jìn)行粗略的密度控制；最后根據(jù)提出的單元形變度概念,通過(guò)使用易于局部化的對(duì)偶操作,對(duì)需精化區(qū)域進(jìn)行精化。該方法能夠提高變形后網(wǎng)格的單元質(zhì)量,保證單元密度自適應(yīng)性,并加強(qiáng)幾何模型與網(wǎng)格模型之間的關(guān)聯(lián)互動(dòng)。提出一種基于實(shí)體切割操作的六面體網(wǎng)格編輯方法首先識(shí)別網(wǎng)格元素與實(shí)體模型幾何元素之間的相交關(guān)系,以高效生成由于網(wǎng)格被實(shí)體模型切割而新增到網(wǎng)格模型中的幾何元素；然后通過(guò)使用啟發(fā)式的A*最短路徑算法和波前推進(jìn)法,將網(wǎng)格元素匹配到新增幾何元素以分離需要被切割的網(wǎng)格單元；最后通過(guò)插入fundamental sheet對(duì)切割后的表面單元進(jìn)行質(zhì)量?jī)?yōu)化。該方法能夠支持使用復(fù)雜的實(shí)體模型進(jìn)行六面體網(wǎng)格切割,以及允許切割實(shí)體與網(wǎng)格模型存在復(fù)雜交互的情況,并且能夠提高網(wǎng)格切割后的表面邊界準(zhǔn)確性。開(kāi)發(fā)三維有限元網(wǎng)格編輯原型系統(tǒng)FEAMeshLab在該系統(tǒng)中集成了上述網(wǎng)格編輯功能,設(shè)計(jì)了可擴(kuò)展的CAD/FEA集成模型,并利用該系統(tǒng)對(duì)本文所提出的方法進(jìn)行了驗(yàn)證。
[Abstract]:In the process of using finite element analysis to verify the product design, it is necessary to discretize the geometric model of the product into the corresponding finite element mesh model to support the analysis and solution, and in order to achieve the design goal, Design and analysis is usually an iterative process in which reanalysis, especially grid regeneration, is time-consuming. Therefore, in order to improve the efficiency of product design and development, it is necessary to improve the efficiency of finite element mesh generation. Grid editing is an efficient mesh generation technique. By reusing the original finite element mesh, a new mesh model for reanalysis can be obtained quickly. It also helps to strengthen the interaction between the product design model and the finite element mesh model. In order to improve the efficiency and quality of finite element mesh generation, this paper studies the three dimensional finite element mesh editing technology. The main work of this paper includes the following aspects: a new method of tetrahedron mesh editing driven by variation of CAD model is proposed. Firstly, according to the change of CAD model and the requirement of approximation degree of mesh division, And the change of the density function of the grid cell near the variable region to determine the reusable element in the original grid; then the boundary mesh surface and the boundary grid edge between the retention unit and the removed element are extracted. It is used to construct the variable region which needs to be reborn into grid. Finally, the new grid unit is generated by Delaunay method. This method can improve the efficiency of mesh generation and ensure the self-adaptability of geometric density in the process of grid editing. A hexahedron mesh editing method based on dual operation and direct editing operation is proposed. By editing the geometric model directly, the hexahedron mesh model can be deformed effectively. In order to optimize the deformed mesh model, the mesh model is firstly converted into a metamere with good quality of surface mesh elements, and then the rough density control is carried out by using a more general dual operation. Finally, according to the concept of element deformability, the region in need of refinement is refined by using dual operation which is easy to localize. This method can improve the cell quality of the deformed mesh, ensure the self-adaptation of the cell density, and enhance the correlation and interaction between the geometric model and the mesh model. A hexahedron mesh editing method based on entity cutting operation is proposed to identify the intersecting relationship between the mesh elements and the geometric elements of the solid model. The geometric elements added to the mesh model due to the mesh being cut by the solid model are generated efficiently, and then the heuristic A * shortest path algorithm and the wave-front propulsion method are used to generate the geometric elements that are added to the mesh model. The mesh elements are matched to the new geometric elements to separate the mesh elements that need to be cut. Finally, the quality of the surface elements after cutting is optimized by inserting fundamental sheet. This method can support the hexahedron mesh cutting using complex solid model, and allow the complex interaction between the cutting entity and the mesh model, and can improve the accuracy of the surface boundary after mesh cutting. A 3D finite element mesh editing prototype system, FEA MeshLab, is developed in which the above grid editing functions are integrated, and an extensible CAD / FEA integration model is designed, and the proposed method is verified by the system.
【學(xué)位授予單位】：浙江大學(xué)
【學(xué)位級(jí)別】：博士
【學(xué)位授予年份】：2014
【分類號(hào)】：TP391.72;TB472

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