本文選題：標架場 + 幾何結構�。� 參考：《浙江大學》2017年碩士論文

【摘要】：使用有限元法對設計出的產(chǎn)品進行性能分析和驗證,需要將產(chǎn)品的幾何模型離散成由特定單元組成的網(wǎng)格模型,并且有限元網(wǎng)格的質量直接決定了有限元分析的精度和效率。因此,在完成對有限元網(wǎng)格的生成或編輯后,需要通過幾何優(yōu)化提高網(wǎng)格質量,從而使其滿足有限元分析的要求�，F(xiàn)有的網(wǎng)格幾何優(yōu)化方法雖然總體上能夠較大地提高網(wǎng)格質量,但往往難以達到理想的效果。為了進一步提高結構化網(wǎng)格幾何優(yōu)化的效果,本文研究考慮幾何結構信息的結構化網(wǎng)格幾何優(yōu)化算法。論文的主要工作包括以下幾個方面:(1)提出考慮幾何面結構信息的四邊形網(wǎng)格幾何優(yōu)化方法。首先基于二維交叉場確定幾何面上的關鍵結構點和關鍵結構線,然后確定四邊形網(wǎng)格中需要接受關鍵結構信息約束的網(wǎng)格點,最后通過將網(wǎng)格質量度量和結構信息相結合建立優(yōu)化目標函數(shù)并求解,實現(xiàn)對四邊形網(wǎng)格的幾何優(yōu)化。(2)提出考慮幾何體結構信息的六面體網(wǎng)格幾何優(yōu)化方法。首先基于三維標架場確定幾何體上的關鍵結構邊和關鍵結構面,然后確定六面體網(wǎng)格中需要接受關鍵結構信息約束的網(wǎng)格點,最后通過將網(wǎng)格質量度量和結構信息相結合建立優(yōu)化目標函數(shù)并求解,實現(xiàn)對六面體網(wǎng)格的幾何優(yōu)化。(3)開發(fā)結構化網(wǎng)格幾何優(yōu)化平臺,包括幾何優(yōu)化、質量評估、網(wǎng)格元素檢索三項功能。并使用該平臺對本文提出的幾何優(yōu)化算法進行驗證。實驗結果表明,本文提出的考慮幾何結構信息的結構化網(wǎng)格幾何優(yōu)化算法,能夠更好地提高復雜結構化網(wǎng)格的質量。
[Abstract]:The finite element method is used to analyze and verify the performance of the designed product. It is necessary to discretize the geometric model of the product into a mesh model composed of specific elements, and the quality of the finite element mesh directly determines the accuracy and efficiency of the finite element analysis. Therefore, after the generation or editing of finite element mesh, it is necessary to improve the mesh quality through geometric optimization, so that it can meet the requirements of finite element analysis. Although the existing methods of mesh geometry optimization can improve the mesh quality greatly, it is difficult to achieve ideal results. In order to further improve the effect of structural mesh geometric optimization, this paper studies the geometric optimization algorithm of structured grid considering geometric structure information. The main work of this paper includes the following aspects: 1) A quadrilateral mesh geometric optimization method considering geometric surface structure information is proposed. The key structural points and key structural lines on the geometric surface are determined based on the two-dimensional crossover field, and then the grid points in the quadrilateral meshes that need to be constrained by the key structural information are determined. Finally, by combining mesh quality measurement with structural information, an optimization method for hexahedron mesh is proposed to solve the problem of geometric optimization of quadrilateral meshes. The key structural edges and key structural surfaces on the geometry are determined based on the three-dimensional frame field, and then the mesh points in the hexahedron mesh that need to be constrained by the key structural information are determined. Finally, by combining mesh quality measurement with structural information, the optimization objective function is established and solved to realize geometric optimization of hexahedron mesh. Grid elements retrieve three functions. This platform is used to verify the geometric optimization algorithm proposed in this paper. The experimental results show that the geometric optimization algorithm based on the geometric structure information proposed in this paper can improve the quality of complex structured meshes better.
【學位授予單位】：浙江大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：TP391.7;TB115

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1 俞薇珊;考慮幾何結構信息的結構化網(wǎng)格幾何優(yōu)化[D];浙江大學;2017年

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本文編號：1945460