利用多載葉片重塑與模態分析修復失諧葉片盤結構

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研究生：	亞尼克 Hase, Aniket Anil
論文名稱：	利用多載葉片重塑與模態分析修復失諧葉片盤結構 Recovery of Mistuned Bladed Disk Structure by Multi-load Blade Reformation Technique with Modal Analysis
指導教授：	張禎元 Chang, Jen-Yuan
口試委員:	詹子奇 Chan, Ziqi 蕭恆昇 Xiao, Hengsheng 宋震國 Song, Zhenguo 曹哲之 Tsao, Che Chi 田孟軒 Tian, Meng Xuan
學位類別：	博士 Doctor
系所名稱：	工學院 - 動力機械工程學系 Department of Power Mechanical Engineering
論文出版年：	2023
畢業學年度：	111
語文別：	英文
論文頁數：	164
中文關鍵詞：	模態分析、葉片盤、多載荷改造、局部剛度
外文關鍵詞：	modal analysis, bladed disk, multi-load reformation, localized stiffness
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葉片盤結構廣泛應用於各種工程應用，包括燃氣輪機、噴氣發動機和渦輪機械，它們在能量轉換和推進系統中發揮著關鍵作用；然而，失調的存在（指葉片固有的微小變化）會顯著影響葉片式磁盤系統的動態行為和可靠性。因此，恢復失調葉片盤結構是一個重要的研究領域，旨在減輕失調對其動態行為和性能的不利影響。本篇論文的重點為開發一種多負載葉片改造技術，該技術為透過模態分析來識別葉片盤結構中存在的失調模式與系統特性，例如自然頻率、阻尼比和模態形狀等，以利調適動態性能並恢復失諧葉片盤結構。此外，本文還介紹了一種多負載葉片改造方法，其特點在於通過殘餘應力分析、回彈分析、熱分析和材料合成特性，戰略性地調整葉片結構與特徵來抵消失諧的負面影響。論文首先介紹了葉片盤結構失諧的重要性以及開發恢復技術的動機，隨後是全面的文獻綜述，涵蓋與失諧、模態分析和現有恢復方法相關的主題；再來還闡述了將周期性引入環形盤以將其轉化為葉片盤的過程，並使用頻率響應函數 (FRF) 來突出在失諧後之波數與調變響應之能量，以證明了該技術與實際應用的相關性。而在葉片結構配置上，內文詳細介紹了所提出的多載荷葉片改造技術、分析方式與改造的程序，同時也針對技術有效性的硬體架構和數據採集方式進行驗證。研究結果基於共振頻率、模式定位和應力分佈表明，多負載葉片改造技術能夠成功恢復失諧葉片磁盤結構的性能，更說明該技術在工業應用上具有的一定實用性和效率上的提升。最終討論了葉片盤結構失諧恢復的局限性、挑戰和未來研究方向，進一步強調了在這一領域不斷取得進展的必要性。

Bladed disk structures are widely employed in diverse engineering applications, including gas turbines, jet engines, and turbomachinery, where they play a critical role in energy conversion and propulsion systems. However, the presence of mistuning, which refers to inherent small variations in blade properties, can significantly impact the dynamic behavior and reliability of bladed disk systems. Thus, the recovery of mistuned bladed disk structures is a crucial research area aimed at mitigating the detrimental effects of mistuning on their dynamic behavior and performance. This thesis focuses on the development and application of a novel technique, known as the Multi-load Blade Reformation Technique along with a Modal Analysis, for recovering the performance of mistuned bladed disk structures. The proposed technique uses modal analysis to identify the mistuning patterns present in bladed disk structures. By analyzing the system's modal properties, such as natural frequencies, damping ratios, and mode shapes, mistuning patterns can be identified and characterized. Additionally, the thesis introduces a multi-load blade reformation approach as a means to restore the desired structural characteristics. This technique aims to counteract the negative effects of mistuning by adjusting the blade properties strategically using residual stress analysis, spring back analysis, thermal analysis and material synthesis. The thesis begins with a discussion of mistuning in bladed disk structures and the reason a recovery method was developed. A comprehensive literature review on mistuning, modal analysis, and recovery methods follows. Modal analysis and FRFs show how wavenumbers modulate frequency response after mistuning. These modulated modes reveal demodulation energy. The Multi-load Blade Reformation Technique follows. This work advances mistuning recovery techniques and implements them in bladed disk systems.

Table of Contents

Abstract    iii
Acknowledgements    v
Table of contents    vi
List of figures    ix
List of tables    xv

Chapter 1. Introduction    1
1. Background and significance    1
2. Motivation    4
3. Definition and causes of mistuning     5
4. Frequency modulation due to mistuning     6
5. Literature survey on vibration analysis of mistuned bladed disks     7
6. Technological applications     12
7. Scope of thesis    12
8. Contributions    14
9. Organization of thesis    15
Chapter 2. Modal analysis of annular disks    21
1. Chapter overview    21
2. Introduction    22
3. Analytical approach     25
4. Perturbation study     27
5. Finite element modelling     30
6. Experimental results    34
7. Measurement of spring stiffness    36
8. Mistuning caused mode migration    37
9. Mistuning related migration of Fourier coefficients    37
10. Stiffness profile and wavenumber content variations in well-functioning, and mistuned disk at free edge    38
11. Conclusions    39
Chapter 3. Modal analysis for bladed disks    59
1. Chapter overview     59
2. Introduction    60
3. Bladed-disk experiment setup and measurements     63
4. Wavenumbers in blisks and signal synthesis     66
5. Stiffness profile and wavenumber content variations in well-functioning, mistuned and    reformed bladed disk at the free edge    70
6. For the even number of blades on a bladed disk    71
7. Extension of a model for 3D propeller/fan structure (r, θ, z)    72
8. The relationship between blade length and natural frequency     74
9. Summary     75
Chapter 4. Localized stiffness and transverse residual stress    92
1. Chapter overview    92
2. Introduction    92
3. Existing theories and instruments for analysis of residual stresses    93
4. Literature survey    95
5. Analytical model    97
6. Conclusions    99
Chapter 5. Reformation of mistuned bladed disk    103
1. Chapter overview    103
2. Introduction    104
3. Analytical approach     104
4. Existing methods and equipment for blade reformation     110
5. Limitations of the above types of equipment    110
6. Bending and twisting in propellers     113
7. Apparatus     114
8. Application of thermal load    117
9. Model selection    117
10. Trial finite element analysis     119
11. Load case and measurement trials     120
12. Methodology     121
13. Finite element analysis     124
14. Experiments     125
15. Microstructural analysis    126
16. Vibration analysis Conclusion    127
17. Conclusion    128
Chapter 6. Summary and future directions    153
1. Summary    153
2. Comparison of presented research model with literature    154
3. Future directions of this research     155
References    157
Appendix    164


                                

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