共振頻率法於牙根植體缺損位置判別研究

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陳梓尉(Zih-Wei Chen) 查詢紙本館藏

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機械工程學系

論文名稱

共振頻率法於牙根植體缺損位置判別研究
(THE BONY DEFECTED LOCATION on DENTAL IMPLANTS by THE FREQUENCY RESPONSE METHOD)

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摘要(中)

植牙術後的骨整合程度，關係到手術是否成功。本文以加速規貼在牙科植體表面上作為感測器，配合衝擊鎚激振作為驅動器進行懸臂樑之實驗模態測試；並搭配有限元素法做模態分析，觀察結構共振頻率與骨缺損之關係，以建立一套檢測機制。首先，由理論分析獲得植體尺寸與共振頻率關係，再由實驗驗證骨缺損模型為近似懸臂樑結構；搭配有限元素做數值模態分析，得其共振頻率與振型。另在實驗方面，藉衝擊鎚做不同模型之間的敲擊，可從加速規獲得結構共振頻率，和有限元素分析結果比較其差異，並將不同缺損狀態結構共振頻率值做分析整理，可建立一套檢測機制。共有五個步驟，包括方位判別、完全缺損判斷、垂直剖面下之缺損位置與缺損量判斷、整體缺損量判斷、綜合研判等。研究中，並將此檢測方法應用於第三類模型上進行測試，以驗證檢測技術之有效性。

摘要(英)

This study is based on the resonant frequency response to specify criteria for examining the defect severity in the bone of dental implant. Both the finite element analysis and the experimental modal analysis are applied to compare the differences between experiment and simulation.
By reviewing relevant literatures, it is known that the design model is similar to the cantilever beam structure. Furthermore, the study applied the given formula to generalize a relation between resonant frequency response and model size. In this article, three modals were designed to test and verify whether the resonant frequency response is related to model defected depth. Then, we collated those data and defined a criterion to detect the defect bone depth with dental implant. The five detection steps include to defect the horizontal positions, to detect the entire defect, to detect the defect depth and quantity in vertical section, to detect the whole defect, and to analyze etc. In the end, we applied the method in the third model to verify its effectiveness.

關鍵字(中)

★ 有限元素法
★ 骨缺損
★ 共振頻率法
★ 實驗模態測試
★ 牙科植體

關鍵字(英)

★ Finite Element Analysis
★ Experimental Modal Analysis
★ Resonant Frequency Response Method
★ Bone defect
★ Dental Implant

論文目次

摘要.......................................................................................................................................I
Abstract.................................................................................................................................II
誌謝.......................................................................................................................................III
目錄.......................................................................................................................................IV
圖目錄...................................................................................................................................VI
表目錄...................................................................................................................................IX
第一章緒論..........................................................................................................................1
1.1 研究動機.....................................................................................................................1
1.2文獻回顧......................................................................................................................2
1.3 研究範疇.....................................................................................................................6
第二章結構模態理論基礎..................................................................................................7
2.1 自由振動分析.............................................................................................................7
2.2懸臂樑振動分析..........................................................................................................10
2.3數值模態分析..............................................................................................................13
第三章骨缺損模型之模態分析與實驗模態測試..............................................................15
3.1骨缺損模型之設計製作..............................................................................................16
3.2實驗模態測試..............................................................................................................19
3.2.1 模態測試設備....................................................................................................19
3.2.2 模態測試方法....................................................................................................20
3.3數值模態分析..............................................................................................................22
3.3.1收斂性分析.........................................................................................................24
3.4懸臂樑模型之驗證......................................................................................................26
第四章植體骨缺損定量檢測與位置判別探討..................................................................29
4.1骨缺損量判別..............................................................................................................29
4.1.1 第一類骨缺損模型之實驗與模擬....................................................................29
4.1.2 第二類骨缺損模型之實驗與模擬....................................................................37
4.2骨缺損位置檢測..........................................................................................................45
4.3骨缺損檢測機制建立..................................................................................................49
4.4骨缺損檢測機制驗證..................................................................................................52
4.4.1 尺寸與頻率之驗證............................................................................................52
4.4.2 五倍放大模型檢測機制之驗證........................................................................56
第五章結論與未來展望......................................................................................................64
附錄A：第一類模型之模擬分析振型圖............................................................................67
附錄B：第二類模型之模擬分析振型圖............................................................................75
附錄C：第一、二類模型缺損位置頻率響應圖................................................................81
參考文獻................................................................................................................................85

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指導教授

黃衍任、潘敏俊
(Yean-Ren Hwang、Min-Chun Pan)

審核日期

2007-7-23

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