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研究生:林義宗
研究生(外文):Yi-Tsung Lin
論文名稱:有限元素接觸轉換法在機件結構磨耗預測上之研究
論文名稱(外文):A Study of Contact Transformed Finite Element Approach for Prediction of Structural Wears
指導教授:鄔詩賢
口試委員:羅佐良賴元隆蔡志成曾柏昌
口試日期:2016-06-29
學位類別:博士
校院名稱:國立中興大學
系所名稱:機械工程學系所
學門:工程學門
學類:機械工程學類
論文種類:學術論文
論文出版年:2016
畢業學年度:104
語文別:英文
論文頁數:69
中文關鍵詞:磨耗有限元素法接觸面轉換人工髖關節外展角
外文關鍵詞:WearFinite elementContact surfaceArtificial hip jointAbduction
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結構體間磨耗行為的了解是工程設計中一個很重要的實務問題。有限元素模擬可以提供許多珍貴的有關訊息。然而由於一般的磨耗量數字都非常的小,而計算過程中又涉及繁多的非線性疊代計算過程。因而數據精度遺失過大以致產生偏差甚大的結果,這在計算程序中是無法避免的問題。尤其是對於大型的有限元素結構物,這個問題更是嚴重。本研究主要是針對上述問題,提出一種新的有限元素方法來解決這個困難。這個方法是假設兩個接觸的結構體本身的分子摩擦以及接觸面上的摩擦都可忽略不計,而接觸面上的應變能能夠完整地傳入對方。然後,我們把估計兩者之間的磨耗量的計算重心從龐大的兩個結構體上轉移到接觸面的自由度上。因此能迅速地得到精確的結果。相關公式的推導,諸如拉格朗日乘數、逆矩陣部份演算過程、接觸力檢測、變形連續性以及節點面積的評估等等文中皆有詳細說明。計算驗證是與一些已發表的機件結構的實驗磨耗文獻相比較。實務則應用於人工髖關節不同外展角度的磨耗現象研究。從質性比較(qualitative comparison) 的角度來看,這個方法在應用方面確實具有相當的意義。

Understanding of the wear behaviors between mechanical components is a significant task in engineering design. Finite Element (FE) simulation may offer valuable wear information. However, longer computational time, poor data precision and possible divergence of results are unavoidable in repetitive procedures, especially for large FE structures. To address these issues, the current method proposes a hypothesis that the strain energy is completely transferred through the contact regions of components; further that only variables on the contact surface are involved in the solution procedure. Related procedures, such as Lagrangian Multiplier, partitioned matrix inversion, detection of contact forces, continuity of contact surface, nodal area estimation, etc. are explained in this report. To verify the accessibility of the current formulations, common examples of wear situations such as pin-on-plate, and cylinder liner-piston ring, are used and compared with wear results from the literatures. In practical applications, wear behaviors of the total hip replacement (THR) with various abduction angles are investigated. Our qualitative comparison demonstrates that the formulations in the current study are valid, offering significant implications for further application.

誌謝---------------------------------------------i
中文摘要-----------------------------------------ii
ABSTRACT---------------------------------------iii
CONTENTS----------------------------------------iv
TABLES------------------------------------------vi
FIGURES----------------------------------------vii
NOMENCLATURE------------------------------------ix
CHAPTER 1 Introduction and Literature Review-----1
1.1 Overview of the wear simulation--------------1
1.2 Total hip arthroplasty-----------------------5
1.3 Research methods and contents----------------9
CHAPTER 2 The wear formulation------------------10
2.1 Wear law------------------------------------10
2.2 Estimation of the element surface area by
Gaussian Quadrature-----------------------------13
CHAPTER 3 The Contact transformed Approach------15
3.1 Contact Formulation-------------------------15
3.2 Detection of contact forces-----------------20
CHAPTER 4 Verification of the Approach----------23
4.1 Pin-on-plate wear---------------------------23
4.2 Cylinder liner-piston ring wear-------------30
CHAPTE 5 Wear of total hip arthroplasty---------33
5.1 Finite element model of the hip
arthroplasty------------------------------------33
5.2 Derivation of wear coefficient--------------37
5.3 Demonstration and Discussion----------------39
5.3.1 Wear coefficient of UHMWPE acetabular cup-39
5.3.2 Model without abduction angle-------------41
5.3.3 Model with abduction angles---------------44
CHAPTE 6 Conclusions----------------------------51
REFERENCES--------------------------------------54
APPENDIX A Self-averaging strategy Process-----69


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