本文選題：標(biāo)架場(chǎng) + 幾何結(jié)構(gòu)　； 參考：《浙江大學(xué)》2017年碩士論文

【摘要】：使用有限元法對(duì)設(shè)計(jì)出的產(chǎn)品進(jìn)行性能分析和驗(yàn)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(zhì)量直接決定了有限元分析的精度和效率。因此,在完成對(duì)有限元網(wǎng)格的生成或編輯后,需要通過(guò)幾何優(yōu)化提高網(wǎng)格質(zhì)量,從而使其滿(mǎn)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(zhì)量,但往往難以達(dá)到理想的效果。為了進(jìn)一步提高結(jié)構(gòu)化網(wǎng)格幾何優(yōu)化的效果,本文研究考慮幾何結(jié)構(gòu)信息的結(jié)構(gòu)化網(wǎng)格幾何優(yōu)化算法。論文的主要工作包括以下幾個(gè)方面:(1)提出考慮幾何面結(jié)構(gòu)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(chǎng)確定幾何面上的關(guān)鍵結(jié)構(gòu)點(diǎn)和關(guān)鍵結(jié)構(gòu)線(xiàn),然后確定四邊形網(wǎng)格中需要接受關(guān)鍵結(jié)構(gòu)信息約束的網(wǎng)格點(diǎn),最后通過(guò)將網(wǎng)格質(zhì)量度量和結(jié)構(gòu)信息相結(jié)合建立優(yōu)化目標(biāo)函數(shù)并求解,實(shí)現(xiàn)對(duì)四邊形網(wǎng)格的幾何優(yōu)化。(2)提出考慮幾何體結(jié)構(gòu)信息的六面體網(wǎng)格幾何優(yōu)化方法。首先基于三維標(biāo)架場(chǎng)確定幾何體上的關(guān)鍵結(jié)構(gòu)邊和關(guān)鍵結(jié)構(gòu)面,然后確定六面體網(wǎng)格中需要接受關(guān)鍵結(jié)構(gòu)信息約束的網(wǎng)格點(diǎn),最后通過(guò)將網(wǎng)格質(zhì)量度量和結(jié)構(gòu)信息相結(jié)合建立優(yōu)化目標(biāo)函數(shù)并求解,實(shí)現(xiàn)對(duì)六面體網(wǎng)格的幾何優(yōu)化。(3)開(kāi)發(fā)結(jié)構(gòu)化網(wǎng)格幾何優(yōu)化平臺(tái),包括幾何優(yōu)化、質(zhì)量評(píng)估、網(wǎng)格元素檢索三項(xiàng)功能。并使用該平臺(tái)對(duì)本文提出的幾何優(yōu)化算法進(jìn)行驗(yàn)證。實(shí)驗(yàn)結(jié)果表明,本文提出的考慮幾何結(jié)構(gòu)信息的結(jié)構(gòu)化網(wǎng)格幾何優(yōu)化算法,能夠更好地提高復(fù)雜結(jié)構(gòu)化網(wǎng)格的質(zhì)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(xué)位授予單位】：浙江大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類(lèi)號(hào)】：TP391.7;TB115

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相關(guān)碩士學(xué)位論文 前1條

1 俞薇珊;考慮幾何結(jié)構(gòu)信息的結(jié)構(gòu)化網(wǎng)格幾何優(yōu)化[D];浙江大學(xué);2017年

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本文編號(hào)：1945460