博碩士論文 100323009 詳細資訊




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姓名 張銘弘(Ming-Hung Chang)  查詢紙本館藏   畢業系所 機械工程學系
論文名稱 應用經驗模態分解法於正齒輪對之傳動誤差分析
(Application of Empirical Mode Decomposition to Analyze Transmission Errors of a Spur Gear Pair)
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摘要(中) 本論文主要目的是使用經驗模態分解法(Empirical Mode Decomposition, EMD)分析齒輪嚙合之傳動誤差,得到齒形誤差、節距誤差與偏擺,並由分析結果定義齒輪精度。首先使用齒面接觸分析(Tooth Contact Analysis, TCA)模擬齒輪嚙合之傳動誤差數據,再以EMD分析其數據,其分析結果與原始設定值非常接近。
實驗的部分則是使用泛用型齒輪嚙合測試機量測齒輪之傳動誤差訊號,利用EMD、濾波法與反傅立葉轉換分解其訊號得到齒形誤差、節距誤差與偏擺,再與三次元齒輪量測儀所量測之結果比對,結果顯示EMD之分析結果與量測值接近,並可由分析之結果定義齒輪之精度。除了單齒腹測試,本論文另外進行齒輪嚙合之振動檢測,初步探討齒輪在含有誤差時其振動訊號之變化。
摘要(英) The main purpose of this thesis is to analyze the transmission error (TE) by using empirical mode decomposition (EMD). By using EMD, profile errors, pitch errors and runout were calculated, and the precision of a gear was defined. Here, tooth contact analysis (TCA) was used to simulate the TE of a modified spur gear pair. EMD was applied to decompose the TE, and the errors of the gear were calculated. The calculated results were compared with the set value of TCA.
In experiment of aspect, the experimental signals of TE were obtained from single flank tests. Similarly, profile errors, pitch errors and runout were evaluated by EMD. In addition, the results determined by EMD were compared with those from CNC gear measurement machine. Moreover, Filters and fast fourier transform (FFT) were also utilized to analyze the experimental signals of TE. The results analyzed by EMD, Filters and FFT, were compared and the results determined by EMD was closer to those from gear measurement machine. Therefore, the precision of a gear could be defined by the results.
Finally, we analyzed the signals of vibration and discussed the relationships among the precision of gears, TE, and the signals of vibration.
關鍵字(中) ★ 傳動誤差
★ 經驗模態分解法
★ 單齒腹測試
關鍵字(英) ★ transmission
★ EMD
★ single flank test
論文目次 摘要 I
Abstract II
目錄 III
圖目錄 VI
表目錄 XIII
符號對照表 XVI
第1章 緒論 1
1.1 研究背景 1
1.2 文獻回顧 2
1.2.1 單齒腹測試 2
1.2.2 齒形修整與齒面接觸分析 4
1.2.3 經驗模態分解法 5
1.3 研究目的 7
1.4 論文架構 8
第2章 基本理論與流程 9
2.1 齒形誤差定義與傳動誤差分析 9
2.2 偏擺定義與傳動誤差分析 13
2.3 節距誤差定義 15
2.4 訊號分析理論 16
2.4.1 經驗模態分解法(Empirical Mode Decomposition, EMD) 16
2.4.2 集成經驗模態分解法(Ensemble EMD, EEMD) 19
2.4.3 集成經驗模態分解法後處理過程(Post-Processing of EEMD) 20
2.5 分析傳動誤差數據流程 21
第3章 傳動誤差數據模擬與分析 27
3.1 案例1、30齒理想齒輪與30齒待測齒輪嚙合 29
3.1.1 含不同齒形誤差與偏心誤差之傳動誤差EMD分析結果 29
3.1.2 含不同節距誤差之傳動誤差EMD分析結果 35
3.2 案例2、30齒理想齒輪與59齒待測齒輪嚙合 53
3.2.1 含不同齒形誤差與偏心誤差之傳動誤差EMD分析結果 53
3.2.2 含不同節距誤差之傳動誤差EMD分析結果 58
3.3 案例3、30齒待測齒輪與59齒待測齒輪嚙合 75
3.4 結論 90
第4章 單齒腹測試實驗與分析 92
4.1 實驗設備介紹 92
4.1.1 泛用型齒輪嚙合測試機 92
4.1.2 實驗齒輪參數 95
4.2 實驗流程 96
4.2.1 校正 96
4.2.2 實驗分配 98
4.3 數據分析與討論 99
4.3.1 三次元齒輪量測儀 99
4.3.2 數據分析流程 101
4.3.3 分析結果比較 108
4.4 結論 140
第5章 動態測試實驗與分析 142
5.1 實驗設備介紹 142
5.2 實驗流程 144
5.3 數據分析與討論 146
5.3.1 同齒數之齒輪嚙合 146
5.3.2 不同齒數之齒輪嚙合 154
5.4 結論 160
第6章 結論與未來工作 161
6.1 結論 161
6.2 未來工作 163
參考文獻 164
附錄 168
附錄A 修整型正齒輪數學模式 168
A-1 創成修整型正齒輪之小齒輪假想齒條刀數學模式 168
A-2 創成修整型正齒輪之大齒輪假想齒條刀數學模式 172
A-3 修整型正齒輪之小齒輪數學模式 175
A-4 修整型正齒輪之大齒輪數學模式 178
A-6 傳動誤差分析 181
附錄B 齒輪檢測報告 185
B-1 標準齒輪檢測報告 185
B-2 待測齒輪1檢測報告 187
B-3 待測齒輪2檢測報告 192
B-4 待測齒輪3檢測報告 197
B-5 待測齒輪4檢測報告 199
B-6 待測齒輪5檢測報告 204
B-7 待測齒輪6檢測報告 206
B-8 待測齒輪7檢測報告 208
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指導教授 陳怡呈(Yi-Cheng Chen) 審核日期 2013-12-3
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