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姓名 朱威丞(Wei-cheng Chu)  查詢紙本館藏   畢業系所 機械工程學系
論文名稱 適應性角速度VKF階次追蹤技術發展及參數特性分析
(adaptive angular-velocity Vold-Kalman Filter Order Tracking)
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摘要(中) 本研究推導並實現一種新的弗德-卡曼濾波階次追蹤(Vold-Kalman Filtering Order Tracking, VKF_OT)方法,稱為適應性角速度VKF_OT(adaptive angular- velocity VKF_OT ),以改善原有角速度VKF_OT方法應用於旋轉機械狀態監測與故障診斷時之缺點,也就是運算時間長,並且無法線上即時運算。論文涵蓋了理論推導及數值模擬驗證,此外並對影響階次追蹤性能之權重因子以及結構方程式的相關函數(如參數 )進行討論。從處理三組不同之模擬訊號結果與工程應用得知,本文所提出之演算法可同時擷取並分離階次相近或交錯之旋轉訊號分量機械系統。由於適應性角速度VKF_OT是基於卡曼濾波器(Kalman Filter)之演算法,其具有即時運算的功能,因此可當作即時處理之工具。
摘要(英) The study presents and implements one advanced VKF_OT approaches, i.e. adaptive angular-velocity VKF_OT techniques, to overcome the deficiencies of original VKF_OT schemes for condition monitoring and diagnosis of rotary machinery. This thesis comprises the theoretical derivation, numerical implementation, and experimental justification. Comparisons of the improved VKF_OT schemes to the original ones are accomplished through processing three synthetic signals composed of different order/spectral components. Some parameters such as the weighting factor, the correlation matrix of process noise, and unwanted signatures/noise, which influence tracking performance, are investigated in the study. Additionally, three experimentations are designed to justify the effectiveness of applying the developed VKF_OT techniques in practical works. These proposed schemes can simultaneously extract multiple order/spectral components, and effectively decouple close or crossing orders associated with multi-axial reference rotating speeds. Furthermore, the adaptive angular-velocity VKF_OT scheme based on the Kalman filter can be calculated on-line and implemented as a real-time processing application.
關鍵字(中) ★ 卡曼濾波器
★ 階次追蹤
關鍵字(英) ★ Vold-Kalman Filter
★ Order Tracking
論文目次 中文摘要 I
英文摘要 II
目錄 III
圖目 VI
表目 IX
第1章 緒論 1
1.1 研究動機 1
1.2 相關文獻回顧 2
1.3 研究範圍 4
第2章 VKF階次追蹤之理論基礎 5
2.1適應性角位移VKF_OT 5
2.1.1結構方程式 6
2.1.2資料方程式 7
2.1.3基於卡曼濾波器求解幅值 8
2.2適應性角速度VKF_OT理論探討 12
2.2.1 結構方程式 12
2.2.2 資料方程式 15
2.2.3 基於卡曼濾波器求解波形 15
第3章 參數探討與數值模擬 17
3.1權重因子之影響 18
3.2參數 之影響 28
3.3 數值模擬 30
3.3.1基本階次信號 31
3.3.2 相近階次信號 34
3.3.3 交錯階次信號 37
3.4採樣頻率之影響 40
3.5 雜訊之影響 42
第4章 適應性角速度VKF階次追蹤之工程運用 45
4.1 旋轉機械試驗平台 45
4.1.1試驗平台簡介 45
4.1.2 實驗設計與分析結果 49
4.2 電動機車A騎乘噪音分析 52
4.2.1 電動機車A介紹 52
4.2.2 實驗與結果分析 54
4.2 電動機車B騎乘噪音分析 60
4.2.1 電動機車B介紹 60
4.2.2 實驗與結果分析 61
第5章 結論與未來展望 66
5.1 結論 66
5.2未來展望 67
參考文獻 69
附錄A 72
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C. Feldbauer and R. Höldrich, 2000, “Realization of a Vold-Kalman Tracking Filter — A Least Squares Problem”, Proceedings of the COST G-6 Conference on Digital Audio Effects, DAFX 1-4.
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M.C. Pan and C.C. Chiu, 2007, “Improvement on Gabor Order Tracking and Objective Comparison with Vold-Kalman-Filtering Order Tracking,” Mechanical Systems and Signal Processing, Vol.21, No.2, pp.653-667 .
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邱竣卿,2003, Gabor時頻與階次分析之探討暨工程運用, 國立中央大學機械工程研究所碩士論文.
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指導教授 潘敏俊(Min-Chun Pan) 審核日期 2008-12-30
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