系統識別號 | U0002-1409201209244200 |
---|---|
DOI | 10.6846/TKU.2012.00561 |
論文名稱(中文) | 利用現代希爾伯特-黃轉換及改進的序列比對法之飛行性能參數研究 |
論文名稱(英文) | An Investigation of Flight Vehicle Performance Parameters via the Modern Hilbert-Huang Transform and the Improved Sequence Alignment Methods |
第三語言論文名稱 | |
校院名稱 | 淡江大學 |
系所名稱(中文) | 航空太空工程學系碩士班 |
系所名稱(英文) | Department of Aerospace Engineering |
外國學位學校名稱 | |
外國學位學院名稱 | |
外國學位研究所名稱 | |
學年度 | 100 |
學期 | 2 |
出版年 | 101 |
研究生(中文) | 鄭宇軒 |
研究生(英文) | Norman Cheng |
學號 | 600430077 |
學位類別 | 碩士 |
語言別 | 英文 |
第二語言別 | |
口試日期 | 2012-07-17 |
論文頁數 | 187頁 |
口試委員 |
指導教授
-
宛同(twan@mail.tku.edu.tw)
委員 - 鄭育能(ynjeng@mail.ncku.edu.tw) 委員 - 官文霖(michael.guan@gmail.com) |
關鍵字(中) |
飛航操作品保系統 希爾伯特-黃轉換 改進的基因序列比對法 二維模擬拍撲翼空氣動力學 本質模態函數錯位現象 飛行資料分析 信號分析 ATR-72 生物資訊學 |
關鍵字(英) |
Flight Operational Quality Assurance (FOQA) Hilbert-Huang Transform (HHT) Improved Sequence Alignment (ISA) 2-D Simulated Flapping Wing Aerodynamics IMF Staggering Effect Flight Data Analysis Signal Processing ATR-72 Bioinformatics |
第三語言關鍵字 | |
學科別分類 | |
中文摘要 |
本研究的主旨是利用希爾伯特-黃轉換(Hilbert-Huang Transform, HHT, 包含Empirical Mode Decomposition, EMD和Hilbert Spectral Analysis, HSA)及改進的基因序列比對法(Improved Sequence Alignment, ISA)分析飛行操作品質系統(Flight Operational Quality Assurance, FOQA)之飛行性能參數資料及二維模擬拍撲翼之空氣動力係數。本研究最初目的是利用HHT分析原始訊號,從隱藏且以頻率為基底的本質模態函數群(Intrinsic Mode Functions, IMF) 找出規律性的模式。盡管EMD作為一種濾波器,透過不同的頻率層級分解出具有數學意義的IMF,但不一定具有強健的物理意義。EMD的特性是將原始訊號分解出8~12個IMF,這增加分析問題的困難度,尤其是物理意義不顯明的函數群。於是本篇論文研發之改進的基因序列比對法(Improved Sequence Alignment, ISA)用於量化IMF函數群,以統計的方式記錄函數群的五個本質字母(5-Elemental Alphabets),並且存放置基因譜(Genetic Profile),用於實現兩個序列的序列比對。 本研究裡,使用二維模擬拍撲翼在固定風場下的升阻力訊號作為基準,以證明HHT和ISA整合的實用性,因為其結果是可預測的。實際的案例則以ATR-72班機的三把正常航班及一把異常航班為例,異常航班的引擎資料是一把No.1引擎在巡航階段空中熄火的狀況,以系統和方法分析之。IMF錯位現象(IMF Staggering Effect)被發現在拍撲翼的HHT分析結果,並且從ISA的排列方式得到證實。飛機扭力參數的序列排列資料說明潛在因子可被偵測的可能性,但是因子仍然不明顯。這個原因主要因為引擎參數變化通常發生在為秒之間,原始資料則是1Hz紀錄,造成資料先天不精準性。拍撲翼的分析為基準,證實了IMF錯位現象可被ISA排列出來,譬如Lift和Lift_2ms_h有著sequence A = (c0, c1, c2, c3, -, c4, c5, c6, c7, c8, c9, c10, c11, c12)和sequence B = (c0, -, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, c12)的排列。 另外,頻率相似度F是支配排列結果的重要因子,以拍撲翼為例,在升力排列的出現次數為37.10%,阻力為47.89%。飛行資料中找出相似模式的機率為55.13%。本研究的結論是證實HHT和ISA的可行性,未來展望期望加入更進階的經驗搜尋法則,從排列的結果中更快速找到相似模式,從排列的模式裡還另外找出資料同源的可能性(Homology)。 |
英文摘要 |
A set of Flight Operational Quality Assurance (FOQA) flight data and a set of flapping wings lift and drag computational fluid dynamics (CFD) results were examined by the aid of Hilbert-Huang Transform (HHT) and Improved Sequence Alignment (ISA) method. The purpose of applying HHT to data is to find the hidden frequency-based (Intrinsic Mode Functions) IMF patterns from the origin signal. Despite HHT works as a filter to extract the variability of signals with different frequency levels and has the ability to decompose original signals into several mathematical subcomponents, the results often being very hard to explain the physical meaning. It is often difficult to analyze a population of data when these data were recorded. Hence, the ISA method of quantizing all the signals to statistical measurements by statistical measurements was invented here, and was applied for data dimensionality reduction. The approach of this thesis study is to first apply HHT and ISA on flapping wing CFD data as the benchmark since the expected aligned results are explicit and then apply the system and methods on FOQA data. The flight data of three normal flights and one abnormal flight, a case of engine No.1 failure during cruise flight, was extracted from a specific ATR-72 twin-engine turboprop airliner. The IMF staggering effect was first found in flapping wings HHT results and was fully verified via ISA. Several important alignment results of different flight phases were found in the parameter Torque of ATR-72 flight data that indicates the existence of potential risk factors before the event flight. The alignment results of flapping wings are well as a very good benchmark case, but the alignment results of FOQA engine failure during operation in flight are vague. This reason is majorly because of the engine failure event usually appears to be a sudden change within milliseconds. The data time interval used in current work is 1 Hz. This is considered as the congenital missing of data that leads to a fundamental problem lacking of precise measures. Facts are found using HHT and ISA method. The benchmark case of aligning Lift and Lift_2ms_h as sequence A = (c0, c1, c2, c3, -, c4, c5, c6, c7, c8, c9, c10, c11, c12) and sequence B = (c0, -, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, c12). The case shows perfect alignment with staggering effect included. Another important fact is the F (degree of frequency measurement) of the 5-elemental alphabets is a dominating factor since HHT is frequency-based. The probability of formats containing alphabet F in Lift is 37.10% and Drag is 47.89%, indicating alphabet F is very common in alignments and in IMF as well. For FOQA data alignments, the pattern finding probability is approximately 55.13%. An empirical system and procedure for pattern searching is needed to handle a population of data. The hidden patterns were found in both cases and the concept of data homology was illustrated. |
第三語言摘要 | |
論文目次 |
TABLE OF CONTENTS ACKNOWLEDGEMENTS I ABSTRACT III TABLE OF CONTENTS IX LIST OF TABLES XII LIST OF FIGURES XIV NOMENCLATURE AND ABBREVIATIONS XVII I. INTRODUCTION 1 I. A. INTRODUCTION 1 I. B. MOTIVATIONS & INSPIRATIONS 5 I. C. A BRIEF DESCRIPTION OF THE PROBLEM-SOLVING PROCESS 7 I. D. ORGANIZATION OF THE THESIS – DUEL PROBLEMS 9 II. BACKGROUND RESEARCH AND LITERATURE REVIEW 10 II. A. FLIGHT OPERATIONS QUALITY ASSURANCE (FOQA) 10 II. B. BRIEF INTRODUCTION TO THE HILBERT-HUANG TRANSFORMATION (HHT) 11 II. C. APPLICATION AND REALIZATION OF HHT – A LITERATURE REVIEW 12 II. D. HHT ON COMPUTATIONAL FLUID DYNAMICS – MAV FLAPPING WINGS 13 II. E. SEQUENCE ALIGNMENT IN BIOINFORMATICS 14 II. F. PROBABILISTIC SEQUENCE ALIGNMENT METHODS FOR ON-LINE SCORE FOLLOWING OF MUSIC PERFORMANCE – A LITERATURE REVIEW 14 II. F. 1. Concept 14 II. F. 2. Benefits 17 II. F. 3. Inspirations 18 III. THEORETICAL METHOD – THE HILBERT-HUANG TRANSFORM (HHT) 19 III. A. THE EMPIRICAL MODE DECOMPOSITION (EMD) 19 III. A. 1. The Empirical Mode Decomposition Methodology 20 III. A. 2. The Stopping Criteria 22 III. A. 3. Properties of EMD 23 III. B. HILBERT SPECTRAL ANALYSIS (HSA) 24 III. B. 1. Hilbert Transform and the Instantaneous Frequency 24 III. B. 2. Completeness of Hilbert Transform 26 III. B. 3. Comparison of Different Spectral Analysis 27 III. C. MATHEMATICAL PROBLEMS RELATED TO HHT 29 III. D. HHT VERIFICATIONS 30 III. D. 1. Simple Harmonic Data 30 III. D. 2. Decaying Signal 31 III. D. 3. Sunspot Data 34 IV. THEORETICAL METHOD – SEQUENCE ALIGNMENT 36 IV. A. INTRODUCTION 36 IV. B. THE SCORING SYSTEM 39 IV. C. GLOBAL SEQUENCE ALIGNMENT (NEDLEMAN AND WUNSCH ALGORITHM) 40 IV. D. LOCAL SEQUENCE ALIGNMENT (SMITH-WATERMAN ALGORITHM) 43 V. THE IMPLEMENTATION – SYSTEM AND METHODS 44 V. A. A BRIEF REVIEW 44 V. B. IMPROVED SEQUENCE ALIGNMENTS – A COMPREHENSIVE METHOD 45 V. B. 1. The Schema 45 V. B. 2. Procedure Details – Statistical Analysis 48 V. B. 3. Procedure Details – Generation of Genetic Profile 52 V. B. 4. Procedure Details – Classification of Statistical Measurements 53 V. B. 5. Procedure Details – Discussions on Defining Alphabets 54 V. B. 6. Procedure Details – Improved Scoring System (Comprehensive) 56 V. B. 7. Procedure Details – Improved Global Sequence Alignment Methods 60 V. B. 8. Procedure Details – An Example of Alignment Results 61 V. C. A SUMMARY OF CURRENT MODELS 64 V. C. 1. Comparisons of Sequence Alignments and Current Methods 64 V. C. 2. Improvements of Current Methods 65 V. C. 3. Program Structure 66 VI. RESULTS – FLAPPING WINGS 67 VI. A. RESULTS OF FLAPPING WING VIA HHT 67 VI. A. 1. Staggering Effects 72 VI. B. APPLICATIONS BY IMPROVED SEQUENCE ALIGNMENT METHODS 76 VI. B. 1. Lift & Lift_2ms_v 76 VI. B. 2. Lift & Lift_2ms_hv 79 VI. B. 3. Lift & Lift_5ms_h 81 VI. B. 4. Lift & Lift_5ms_v 83 VI. B. 5. Lift & Lift_5ms_hv 85 VI. B. 6. Drag & Drag_2ms_h 87 VI. B. 7. Drag & Drag_2ms_v 89 VI. B. 8. Drag & Drag_2ms_hv 91 VI. B. 9. Drag & Drag_5ms_h 93 VI. B. 10. Drag & Drag_5ms_v 95 VI. B. 11. Drag & Drag_5ms_hv 97 VI. C. DISCUSSIONS ON ALIGNMENTS 99 VII. RESULTS – FOQA DATA 107 VII. A. INTRODUCTION UNEXPECTED ENGINE EVENT INVESTIGATION 107 VII. B. RESULTS OF FOQA DATA VIA HHT 110 VII. C. ALIGNMENT RESULTS 111 VIII. OBSERVATIONS, DISCUSSIONS, AND STATEMENTS 119 VIII. A. OBSERVATIONS 119 VIII. B. DISCUSSIONS 122 VIII. B. 1. Discussions on HHT Method 122 VIII. B. 2. Discussions on the Improved Sequence Alignment 123 VIII. B. 3. Discussions by Case – FOQA Data 124 VIII. C. STATEMENTS 124 IX. CONCLUSIONS 126 IX. A. CONCLUSIONS 126 IX. B. FUTURE STUDIES 128 REFERENCES 129 APPENDIX A – FLAPPING WINGS DATA 132 APPENDIX A. 1. FLAPPING WINGS GENETIC PROFILE 132 APPENDIX A. 2. EMD RESULTS DB STRUCTURE 144 APPENDIX B – FOQA FLIGHT DATA 145 APPENDIX B. 1. FOQA HHT RESULTS 145 APPENDIX B. 2. FOQA ALIGNMENT FORMAT RESULTS (FOR EXAMPLE) 157 APPENDIX C – AIAA FORMAT CONFERENCE PAPER 173 LISTOFTABLES TABLE 2.1: A COMPARISON OF PARDO’S METHOD AND CURRENT MODEL 18 TABLE 3.1 COMPARISON OF DIFFERENT SPECTRAL ANALYSIS METHODS (HUANG ET AL., 1998) 28 TABLE 3.2: EMD RESULTS OF SIMPLE HARMONIC DATA 31 TABLE 3.3: EEMD RESULTS OF SUNSPOT DATA 34 TABLE 5.1: LIST OF 7-FUNDAMENTAL MEASUREMENTS 49 TABLE 5.2: LIST OF 5-ELEMENTAL ALPHABETS 50 TABLE 5.3: EXAMPLE OF A GENETIC PROFILE 52 TABLE 5.4: A SUMMARY OF PROBLEMS ENCOUNTERED WHEN DEFINING ALPHABETS 55 TABLE 5.5: COMBINATIONS OF 5-ELEMENTAL ALPHABETS 57 TABLE 5.6: THE SUB-SCORING MATRIX 58 TABLE 5.7: THE OVERALL SCORING MATRIX 59 TABLE 5.8: THE FINAL ALIGNMENT OF THE EXAMPLE CASE 63 TABLE 5.9: COMPARISON OF TRADITIONAL AND CURRENT METHODS 64 TABLE 5.10: THE TERMINOLOGY TABLE 65 TABLE 6.1: THE COLLECTION OF RAW FLAPPING CFD RESULTS (HUANG, 2010) 69 TABLE 6.2: A LIST OF STAGGERING EFFECTS 72 TABLE 6.3: THE FINAL ALIGNMENT OF LIFT (SEQUENCE A) AND LIFT 2M/S VERTICAL (SEQUENCE B) 78 TABLE 6.4: THE FINAL ALIGNMENT OF LIFT (SEQUENCE A) AND LIFT 2M/S HORIZONTAL + VERTICAL (SEQUENCE B) 80 TABLE 6.5: THE FINAL ALIGNMENT OF LIFT (SEQUENCE A) AND LIFT 5M/S HORIZONTAL (SEQUENCE B) 82 TABLE 6.6: THE FINAL ALIGNMENT OF LIFT (SEQUENCE A) AND LIFT 5M/S VERTICAL (SEQUENCE B) 84 TABLE 6.7: THE FINAL ALIGNMENT OF LIFT (SEQUENCE A) AND LIFT 5M/S HORIZONTAL + VERTICAL (SEQUENCE B) 86 TABLE 6.8: THE FINAL ALIGNMENT OF DRAG (SEQUENCE A) AND DRAG 2M/S HORIZONTAL (SEQUENCE B) 88 TABLE 6.9: THE FINAL ALIGNMENT OF DRAG (SEQUENCE A) AND DRAG 2M/S VERTICAL (SEQUENCE B) 90 TABLE 6.10: THE FINAL ALIGNMENT OF DRAG (SEQUENCE A) AND DRAG 2M/S HORIZONTAL + VERTICAL (SEQUENCE B) 92 TABLE 6.11: THE FINAL ALIGNMENT OF DRAG (SEQUENCE A) AND DRAG 5M/S HORIZONTAL (SEQUENCE B) 94 TABLE 6.12: THE FINAL ALIGNMENT OF DRAG (SEQUENCE A) AND DRAG 5M/S VERTICAL (SEQUENCE B) 96 TABLE 6.13: THE FINAL ALIGNMENT OF DRAG (SEQUENCE A) AND DRAG 5M/S HORIZONTAL + VERTICAL (SEQUENCE B) 98 TABLE 6.14: THE ALIGNMENT COMPARISON OF LIFT 2M/S AND LIFT 5 M/S UNDER HORIZONTAL STEADY WIND CONDITION 100 TABLE 6.15: THE ALIGNMENT COMPARISON OF LIFT 2M/S AND LIFT 5 M/S UNDER VERTICAL STEADY WIND CONDITION 101 TABLE 6.16: THE ALIGNMENT COMPARISON OF LIFT 2M/S AND LIFT 5 M/S UNDER HORIZONTAL + VERTICAL STEADY WIND CONDITION 102 TABLE 6.17: THE ALIGNMENT COMPARISON OF DRAG 2M/S AND DRAG 5 M/S UNDER HORIZONTAL STEADY WIND CONDITION 103 TABLE 6.18: THE ALIGNMENT COMPARISON OF DRAG 2M/S AND DRAG 5 M/S UNDER VERTICAL STEADY WIND CONDITION 104 TABLE 6.19: THE ALIGNMENT COMPARISON OF DRAG 2M/S AND DRAG 5 M/S UNDER HORIZONTAL + VERTICAL STEADY WIND CONDITION 105 TABLE 7.1: ALL FLIGHT PHASES 108 TABLE 7.2: IMPORTANT ALIGNMENT RESULTS OF DIFFERENT FLIGHT PHASES (PARAMETER TQ1) 112 TABLE 7.3: PARAMETER TQ1, FLIGHT PHASE 1 113 TABLE 7.4: PARAMETER TQ1, FLIGHT PHASE 2 114 TABLE 7.5: PARAMETER TQ1, FLIGHT PHASE 3 115 TABLE 7.6: PARAMETER TQ1, FLIGHT PHASE 4 116 TABLE 7.7: PARAMETER TQ1, FLIGHT PHASE 5 117 TABLE 7.8: PARAMETER TQ1, FLIGHT PHASE 6 117 TABLE 7.9: PARAMETER TQ1, FLIGHT PHASE 8 118 TABLE 8.1: AN EXAMPLE OF CASE HOMOLOGY 121 TABLE 8.2: LIST OF 5-ELEMENTAL ALPHABETS (VERSION 2) 123 LIST OF FIGURES FIGURE (2.1): SYSTEM AND METHODS OF THE TRANSCRIPTION OF MUSIC SCORES [23] 15 FIGURE (3.1): THE TYPICAL TYPE OF EMD PROCEDURE 22 FIGURE (3.2): THE UNIT CIRCLE ON Z-PLANE. SOURCE: [8] 26 FIGURE (3.3): THE HSA PROCEDURE OF HHT 27 FIGURE (3.4): THE COMPARISON OF DIFFERENT SPECTRAL ANALYSIS. SOURCE: [2] 28 FIGURE (3.5): EMD RESULTS OF A SIMPLE HARMONIC DATA 32 FIGURE (3.6): THE COMPLETENESS OF IMFS 32 FIGURE (3.7): THE EMD RESULT OF A DECAYING SIGNAL 33 FIGURE (3.8): THE COMPLETENESS OF DECAYING SIGNAL 33 FIGURE (3.9): THE EEMD RESULT OF HALF-YEAR SUNSPOT DATA 35 FIGURE (3.10): THE INSTANTANEOUS FREQUENCY OF HALF-YEAR SUNSPOT DATA 35 FIGURE (5.1): THE OVERALL PROGRAM SCHEME, TAKE FLAPPING WINGS CASE FOR EXAMPLE 47 FIGURE (5.2): 5-ELEMENTAL ALPHABETS C, M, AND D OF A COSINE WAVE 51 FIGURE (5.3): 5-ELEMENTAL ALPHABETS F AND V OF A COSINE WAVE 51 FIGURE (5.4): AN EXAMPLE SCORING TABLE (FLAPPING WINGS) OF IMPROVED SEQUENCE ALIGNMENT METHODS 61 FIGURE (5.5): THE EXAMPLE ALIGNMENT FORMAT CARD OF FLAPPING WINGS CASE 63 FIGURE (5.6): THE GENERAL SYSTEM STRUCTURE 66 FIGURE (6.1): THE MECHANIC CONFIGURATION OF 2-D FLAPPING WING [7] 68 FIGURE (6.2): EMD RESULT OF HUANG’S CASE 70 FIGURE (6.3): EMD RESULT OF WANG’S CASE 70 FIGURE (6.4): A COMPARISON OF IMF C0 INDICATES THE ORIGINAL SIGNAL 71 FIGURE (6.5): A COMPARISON OF IMF C3 71 FIGURE (6.6): THE STAGGERING EFFECT OF LIFT (SEQUENCE A) AND LIFT 2M/S HORIZONTAL (SEQUENCE B) 73 FIGURE (6.7): THE STAGGERING EFFECT OF LIFT (SEQUENCE A) AND LIFT 2M/S VERTICAL (SEQUENCE B) 74 FIGURE (6.8): THE STAGGERING EFFECT OF LIFT (SEQUENCE A) AND LIFT 2M/S HORIZONTAL + VERTICAL (SEQUENCE B) 75 FIGURE (6.9): THE SCORING TABLE OF ALIGNING LIFT (SEQUENCE A) AND LIFT 2M/S VERTICAL (SEQUENCE B) 77 FIGURE (6.10): THE FORMAT CARD OF ALIGNING LIFT (SEQUENCE A) AND LIFT 2M/S VERTICAL (SEQUENCE B) 78 FIGURE (6.11): THE SCORING TABLE OF ALIGNING LIFT (SEQUENCE A) AND LIFT 2M/S HORIZONTAL + VERTICAL (SEQUENCE B) 79 FIGURE (6.12): THE FORMAT CARD OF ALIGNING LIFT (SEQUENCE A) AND LIFT 2M/S HORIZONTAL + VERTICAL (SEQUENCE B) 80 FIGURE (6.13): THE SCORING TABLE OF ALIGNING LIFT (SEQUENCE A) AND LIFT 5M/S HORIZONTAL (SEQUENCE B) 81 FIGURE (6.14): THE FORMAT CARD OF ALIGNING LIFT (SEQUENCE A) AND LIFT 5M/S HORIZONTAL (SEQUENCE B) 82 FIGURE (6.15): THE SCORING TABLE OF ALIGNING LIFT (SEQUENCE A) AND LIFT 5M/S VERTICAL (SEQUENCE B) 83 FIGURE (6.16): THE FORMAT CARD OF ALIGNING LIFT (SEQUENCE A) AND LIFT 5M/S VERTICAL (SEQUENCE B) 84 FIGURE (6.17): THE SCORING TABLE OF ALIGNING LIFT (SEQUENCE A) AND LIFT 5M/S HORIZONTAL + VERTICAL (SEQUENCE B) 85 FIGURE (6.18): THE FORMAT CARD OF ALIGNING LIFT (SEQUENCE A) AND LIFT 5M/S HORIZONTAL + VERTICAL (SEQUENCE B) 86 FIGURE (6.19): THE SCORING TABLE OF ALIGNING DRAG (SEQUENCE A) AND DRAG 2M/S HORIZONTAL (SEQUENCE B) 87 FIGURE (6.20): THE FORMAT CARD OF ALIGNING DRAG (SEQUENCE A) AND DRAG 2M/S HORIZONTAL (SEQUENCE B) 88 FIGURE (6.21): THE SCORING TABLE OF ALIGNING DRAG (SEQUENCE A) AND DRAG 2M/S VERTICAL (SEQUENCE B) 89 FIGURE (6.22): THE FORMAT CARD OF ALIGNING DRAG (SEQUENCE A) AND DRAG 2M/S VERTICAL (SEQUENCE B) 90 FIGURE (6.23): THE SCORING TABLE OF ALIGNING DRAG (SEQUENCE A) AND DRAG 2M/S HORIZONTAL + VERTICAL (SEQUENCE B) 91 FIGURE (6.24): THE FORMAT CARD OF ALIGNING DRAG (SEQUENCE A) AND DRAG 2M/S HORIZONTAL + VERTICAL (SEQUENCE B) 92 FIGURE (6.25): THE SCORING TABLE OF ALIGNING DRAG (SEQUENCE A) AND DRAG 5M/S HORIZONTAL (SEQUENCE B) 93 FIGURE (6.26): THE FORMAT CARD OF ALIGNING DRAG (SEQUENCE A) AND DRAG 5M/S HORIZONTAL (SEQUENCE B) 94 FIGURE (6.27): THE SCORING TABLE OF ALIGNING DRAG (SEQUENCE A) AND DRAG 5M/S VERTICAL (SEQUENCE B) 95 FIGURE (6.28): THE FORMAT CARD OF ALIGNING DRAG (SEQUENCE A) AND DRAG 5M/S VERTICAL (SEQUENCE B) 96 FIGURE (6.29): THE SCORING TABLE OF ALIGNING DRAG (SEQUENCE A) AND DRAG 5M/S HORIZONTAL + VERTICAL (SEQUENCE B) 97 FIGURE (6.30): THE FORMAT CARD OF ALIGNING DRAG (SEQUENCE A) AND DRAG 5M/S HORIZONTAL + VERTICAL (SEQUENCE B) 98 FIGURE (6.31): FREQUENCY OF APPEARANCE OF ALIGNMENT TYPES/FORMAT OF LIFT CASES 106 FIGURE (6.32): FREQUENCY OF APPEARANCE OF ALIGNMENT TYPES/FORMAT OF DRAG CASES 106 FIGURE (7.1): ENGINE NO.1 MAIN PARAMETERS OF FLIGHT EF(0) 109 FIGURE B. (1.1): THE EEMD RESULT OF FLIGHT EF(0) ON PARAMETER TQ 145 FIGURE B. (1.2): THE IFS OF FLIGHT EF(0) ON PARAMETER TQ 145 FIGURE B. (1.3): THE EEMD RESULT OF FLIGHT EF(-1) ON PARAMETER TQ 146 FIGURE B. (1.4): THE IFS OF FLIGHT EF(-1) ON PARAMETER TQ 146 FIGURE B. (1.5): THE EEMD RESULT OF FLIGHT EF(-2) ON PARAMETER TQ 147 FIGURE B. (1.6): THE IFS OF FLIGHT EF(-2) ON PARAMETER TQ 147 FIGURE B. (1.7): THE EEMD RESULT OF FLIGHT EF(0) ON PARAMETER PROP_SPD_NP 148 FIGURE B. (1.8): THE IFS OF FLIGHT EF(0) ON PARAMETER PROP_SPD_NP 148 FIGURE B. (1.9): THE EEMD RESULT OF FLIGHT EF(-1) ON PARAMETER PROP_SPD_NP 149 FIGURE B. (1.10): THE IFS OF FLIGHT EF(-1) ON PARAMETER PROP_SPD_NP 149 FIGURE B. (1.11): THE EEMD RESULT OF FLIGHT EF(-2) ON PARAMETER PROP_SPD_NP 150 FIGURE B. (1.12): THE IFS OF FLIGHT EF(-2) ON PARAMETER PROP_SPD_NP 150 FIGURE B. (1.13): THE EEMD RESULT OF FLIGHT EF(0) ON PARAMETER ITT 151 FIGURE B. (1.14): THE IFS OF FLIGHT EF(0) ON PARAMETER ITT 151 FIGURE B. (1.15): THE EEMD RESULT OF FLIGHT EF(-1) ON PARAMETER ITT 152 FIGURE B. (1.16): THE IFS OF FLIGHT EF(-1) ON PARAMETER ITT 152 FIGURE B. (1.17): THE EEMD RESULT OF FLIGHT EF(-2) ON PARAMETER ITT 153 FIGURE B. (1.18): THE IFS OF FLIGHT EF(-2) ON PARAMETER ITT 153 FIGURE B. (1.19): THE EEMD RESULT OF FLIGHT EF(0) ON PARAMETER NH 154 FIGURE B. (1.20): THE IFS OF FLIGHT EF(0) ON PARAMETER NH 154 FIGURE B. (1.21): THE EEMD RESULT OF FLIGHT EF(-1) ON PARAMETER NH 155 FIGURE B. (1.22): THE IFS OF FLIGHT EF(-1) ON PARAMETER NH 155 FIGURE B. (1.23): THE EEMD RESULT OF FLIGHT EF(-2) ON PARAMETER NH 156 FIGURE B. (1.24): THE IFS OF FLIGHT EF(-2) ON PARAMETER NH 156 |
參考文獻 |
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