機械元件之三維網格建立

Abstract

本篇論文主要研究為如何使用狄勞尼三角(Delaunay Triangulation)網格分割法自動建立網格。首先簡介狄勞尼三角網格分割法原理。其次，討論如何應用狄勞尼三角網格分割法建構三維網格，並且運用edge swapping與剔除法修正網格。最後，透過有限元素範例的計算結果，驗證網格做出結論。

The purpose of this thesis is to use the method of modified Delaunay triangulation to generate adaptive finite-element-meshes for machine components. First of all, we introduce the method of modified Delaunay triangulation. Then, we discuss the process of 3D Mesh Generation, and some solutions for this task will be elaborated at this part. Finally, by some computing results of 2D and 3D cases, we verify this modified method and make a conclusion.