CAE應用之圓角簡化技術發展

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姓名

黃丹同(Huynh Thanh Thuong) 查詢紙本館藏

畢業系所

機械工程學系在職專班

論文名稱

CAE應用之圓角簡化技術發展
(ON THE DEVELOPMENT OF FILLET SUPPRESSION TECHNOLOGY FOR CAE APPLICATION)

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摘要(中)

在CAE (Computer aided engineering)分析中，使用有限元素(Finite element)技術以模擬產品的設計結果是最為常見的方法，以取代人為的測試或經驗。此技術中網格化是最重要的步驟，但模型的特徵往往由多個面或很小的面所組成，造成網格尺寸勢必縮小與面接近。尤其在於倒圓角(Blend faces)中往往為狹長面，導致網格數增加，不只增加電腦計算時間，也影響網格品質與模擬結果，因此必須要改善狹長型的倒圓角在網格化中的問題。本研究發展一演算法，以B-rep (Boundary representation)資料格式的模型為基礎，將倒圓角進行簡化，方法主要分為：產生幾何曲面資料以取代原本的倒圓角面、刪除原本倒圓角的曲面資料、更新所有B-rep中的拓樸資訊。最後使用數個案例進行測試，當模型經過簡化演算法計算後，會產生所有倒圓角均被簡化的新模型，以驗證此演算法的可行性。

摘要(英)

CAE (Computer Aided Engineering) analysis is a common tool to replace physical test. It often employs the Finite Element (FE) method to analyze and simulate the product design. In finite element method of CAE analysis, mesh generation is an indispensable operation. But, one of the problems found in going from CAD to CAE is that CAD models often feature a large number of faces, and many of them are much smaller than the desired finite element size. Specially, the appearing and existing of small blend faces on a CAD model affects the quality of analysis. It not only increases the analysis time but also produces poor simulation results. Hence, small blend face simplification on CAD models for mesh generation is essential to improve the quality of finite elements to analysis. This study develops the algorithms to simplify small blend faces for producing better models for FE based on the understanding the B-rep (Boundary representation) model. It includes the following main operations: generate new geometric data to replace all small blend faces, add new elements into B-rep, delete all elements related to small blend faces and update all topological data of the B-rep. All small blend faces can be suppressed, after the above operations are accomplished, which yields the simplified CAD model without small blend faces. The simplified CAD model without small blend faces will be obtained. In addition, several examples are presented to demonstrate the feasibility of the proposed method for small blend simplification.

關鍵字(中)

★ 特徵簡化
★ B-rep
★ 圓角

關鍵字(英)

★ Blend suppression

論文目次

摘要 I
Abstract II
Acknowledgements III
Contents IV
List of Figures VI
List of Tables IX
Chapter 1 Introduction 1
1.1. Foreword 1
1.2. Literature Review 3
1.3. Purposes and Methods 6
1.3.1. Purposes 6
1.3.2. Methods 7
1.4. Organization of Thesis 8
Chapter 2 Introduction of B-rep and Blend Faces 9
2.1. B-rep Model and Modification of Elements 9
2.1.1. Introduction of B-rep Data Structure 9
2.1.2. Modification of the B-rep model 11
2.2. Description of Blend Faces 14
2.2.1. Classification of Blend Faces 14
2.2.2. Terms used in the proposed simplification algorithm 16
2.3. Overview of Previous Version of Blend Face Simplification 19
2.3.1. Result of Previous Version 19
2.3.2. Problems of Previous Version 19
Chapter 3 Blend Faces Simplification Algorithm 27
3.1. Grouping Operation 27
3.1.1. Group Vertex Blend Faces 27
3.1.2. Group the Edges of Each Edge Blend Face 31
3.1.3. Group Edge Blend Faces 33
3.2. Compute New Geometric Data and Add New Elements into B-rep Model 33
3.2.1. Compute New Geometric Data to Replace Blend Faces 33
3.2.2. Add New Elements into the B-rep data structure 46
3.3. Delete All Elements Relate to Blend Faces 49
3.4. Reconstruct the B-rep Model 49
3.4.1. Reconstruct Topological and Geometrical Data of the B-rep Model 49
3.4.2. Correct Topological and Geometrical Data of the B-rep Model 56
Chapter 4 Results and Problems 57
4.1. Experimental Methods 57
4.2. Results 58
4.3. Problems 70
4.4. Comparison of Current Study and CADdoctor 75
Chapter 5 Conclusion and Future Study 79
5.1. Conclusion 79
5.2. Future Study 83
References 84

參考文獻

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[15] GrabCAD. Available from: https://grabcad.com

指導教授

賴景義(Lai, Jiing-Yih)

審核日期

2015-8-5

推文