環狀板不管在傳統機械領域或是高科技業中都是一個常見的基礎機械元件，隨著製程的進步與更精密的設計，環狀板往往會受到修改以符合實際工業需求，然而此修改的方式會直接影響環狀板的動態特性，主要於自然頻率與模態的變動，若於設計中並無考慮到，可能會有不必要的問題產生，故深入的了解此動態特性的改變是必要的。
本論文將採用市售的機車煞車碟盤作為實驗對象，分析碟盤上的特徵結構的改變對於碟盤動態特性的影響，此特徵結構有分別為供固定的孔洞以及肋，此兩種結構皆平均地分佈在碟盤上，本論文中可以分為三部份去探討，第一:特徵結構在各種分佈週期下對於碟盤的影響，第二:兩特徵結構間相位差對於碟盤之影響，第三:肋於碟盤上所占角度之影響，在分析過程中，將從實驗、模擬以及簡易的理論模型三個不同角度去探討、同時互相驗證結果。
研究結果顯示，奇數個孔洞與奇數個肋或是高個數的偶數肋對於碟盤開離有顯著的抑制效果，若還是有發生共振的狀況，透過適當的角度偏差可以有效的避免某些自然頻率，此外，改變肋於碟盤上所佔的面積可以更有效的抑制某些自然頻率，此三個面向實際上對於碟盤的設計以及動態特性的了解有相當大的幫助。

Annular plates are common structural elements in engineering applications whether in traditional engineering or in Hi-Tech industries. With increasing complexity of manufacturing processing and the demand for higher precision products, annular plates are modified in order to meet practical needs. These modifications directly affect the dynamic characteristics of annular plates specifically in the change of natural frequencies and mode shapes. The change in dynamic response of plates would cause unexpected failures if it is not taken into consideration. Therefore, it is important to fully understand the changes of dynamic behavior.
In this research, a commercial disc brake for scooters had been investigated. The two major modifications in the disc brake are namely ribs and bolts (fixtures) and both of them are evenly distributed during modifications. The dynamic analysis were divided into three parts. First, consider the different combinations of number of ribs and bolts. Second, alter the angular displacement between two period features. Third, change the span angle of ribs. Analytical, numerical, and experimental approach were carried out in the dynamic analysis.
The result of this research shows that discs having odd numbers of fixtures and ribs, or with ribs that are even numbers (must be greater than 12) could decrease the number of modes that split in lower-frequency modes. In addition, changing the relative angle between the rib and bolt could effectively shift the natural frequency of plates without creating a new natural frequency. Moreover, specific split modes could be returned to repeated modes with proper arrangements of ribs and bolts.

摘 要 I
Abstract II
誌 謝 III
目錄 IV
圖目錄 VII
表目錄 X
第一章 緒論 1
1.1 研究背景 1
1.2 動機與目的 2
1.3 文獻回顧 4
1.4 研究方法 11
第二章 頻率與模態之辨別 13
2.1 前言 13
2.2 碟盤模型 13
2.3 模態辨別 15
2.3.1 實驗模態分析概述(Experimental Modal Analysis) 15
2.3.2 實驗架設 20
2.3.3 量測模態 24
2.4 頻率與模態 25
2.4.1 實驗面 25
2.4.1 模擬面 33
第三章 碟盤振動分析 40
3.1 前言 40
3.2 不同週期之肋分布及孔洞分布對於模態頻率之影響 40
3.2.1 四個孔洞之碟盤分析 42
3.2.2 五個孔洞之碟盤分析 47
3.2.3 六個孔洞之碟盤分析 50
3.2.3 小節討論 53
3.3 供固定之孔洞結構與肋之相位變化 54
3.3.1 四個孔洞之碟盤分析 54
3.3.2 五個孔洞之碟盤分析 59
3.3.3 六個孔洞之碟盤分析 61
3.3.4 小節討論 63
3.4 肋佔碟盤寬度之影響 64
3.5 模態之傅立葉分析 69
3.6 章節討論 73
第四章 簡易理論模型 75
4.1 質量-彈簧模型 75
4.2 模型探討 78
第五章 結論與未來工作 82
5.1 結論 82
5.2 未來工作 84
參考文獻 86

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