表面網格自動建構之網格品質優化方法發展

NCUIR > Engineering College > Graduate Institute of Mechanical Engineering > Electronic Thesis & Dissertation > Item 987654321/98626

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/98626

Title:	表面網格自動建構之網格品質優化方法發展
Authors:	蘇敬勛;Su, Jing-Syun
Contributors:	機械工程學系
Keywords:	四邊形網格建構;三角形網格建構;自動化網格建構;網格結構優化;網格品質優化;流程優化;Quadrilateral mesh construction;Triangular mesh construction;Automated mesh construction;Mesh structure improvement;Mesh quality improvement;Process improvement
Date:	2025-07-02
Issue Date:	2025-10-17 13:01:34 (UTC+8)
Publisher:	國立中央大學
Abstract:	在進行有限元素分析之前，需將CAD模型轉化為實體網格，以提供分析軟體進行計算。目前的實體網格技術建構技術中，六面體網格可相較於四面體網格以較少的網格數量完成建構，進而降低分析的運算時間。而六面體的實體網格是以四邊形表面網格為基礎建構，為此本實驗室進行四邊形網格自動化建構技術之開發，然而在產出高品質的四邊形網格上，該技術中仍有可優化之空間。本研究提出了多種考慮模型中節點相鄰網格狀況的方法進行網格結構的優化，並結合網格平滑化方法，以達到提高整體網格品質的成效。首先，本研究針對節點不理想的狀況，依品質優化流程的程序逐一偵測與優化，使整體網格結構趨近於理想，本研究亦將上述觀念應用於三角形網格品質優化方法的開發。最後，為了確保整體四邊形品質優化方法的成效，本研究對比數個品質優化流程之網格建構結果的品質指標，得到成效較佳之流程作為本研究採用的四邊形網格品質優化流程。本研究對建構完成的網格進行品質優化，測試的案例中，節點連接性異常的狀況已被優化，且各案例的網格結構均得到優化，其中四邊形網格中節點為連接性理想狀況之比例提升至86.80%至96.56%不等，並有效減少低品質網格比例，最小內角不高於60°之比例降低為0.21%至2.28%不等，證明本研究可有效優化整體網格結構及網格之品質。;Before finite element analysis, the CAD model must be converted into a solid mesh to provide analysis software for calculation. Among current solid mesh techniques, hexahedral meshes require fewer elements than tetrahedral meshes, thereby reducing the analysis computation time. The hexahedral solid mesh is constructed based on the quadrilateral surface mesh. For this reason, our lab has developed an automatic quadrilateral meshing method. However, this method still has possibility for quality improvement. This study introduces several improvement techniques that consider the number of near meshes on a node to improve mesh structure, combined with mesh smoothing to enhance overall quality. The improvement process identifies and improve undesirable node conditions to guide the mesh toward an ideal structure. This study also applies the above concept to the development of triangular mesh quality improvement methods.To evaluate effectiveness, multiple improvement workflows were compared, and the best-performing process was adopted. The results show significant improvements: abnormal node connections were corrected, and ideal connectivity in quadrilateral meshes increased to 86.80%–96.56%. Additionally, the proportion of minimum angles below 60° was reduced to 0.21%–2.28%, proving the method′s ability to enhance both mesh structure and quality.
Appears in Collections:	[機械工程研究所] 博碩士論文

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