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系統識別號 U0026-0703201915571400
論文名稱(中文) 修補結構之振動控制
論文名稱(英文) Vibration Control of Repaired Structures
校院名稱 成功大學
系所名稱(中) 航空太空工程學系
系所名稱(英) Department of Aeronautics & Astronautics
學年度 107
學期 2
出版年 108
研究生(中文) 羅義
研究生(英文) Thomas CAPY
學號 P46067051
學位類別 碩士
語文別 英文
論文頁數 67頁
口試委員 指導教授-胡潛濱
口試委員-楊文彬
口試委員-夏育群
中文關鍵字 none 
英文關鍵字 Ansys APDl  Vibration Control  Stress Intensity Factor  Patch repairs 
學科別分類
中文摘要 none
英文摘要 The aim of this Master’s thesis was to study the vibrations control on a perfect structure, then to compare the results obtained with the same structure but cracked as well as repaired. A first study with vibrations generated by an impulse force on a simple aluminum plate was conducted in order to simulate our first results numerically with Ansys APDL. This part allowed us to understand the principle of vibrations control done with a FEM software and the influence of several parameters on this analysis. After that, we implemented a crack in our aluminum plate model and did a static analysis where the plate was loaded axially by a uniform pressure σ. Thanks to this, we could retrieve the value of the stress intensity factor, a value related to the stress concentration around the crack, and compare it with the theoretical value to see if our model was correct or not. Then, we repaired the structure with a composite patch and compare the results given by this static analysis to observe the patch efficiency. Finally, a study on the vibrations has been done for these three models as well as a model with only a patch laid on it (thus with no crack) to see the influence of the weight of the patch. By comparing the results of these four models, some discussions can be made about their differences. This study highlighted the importance of repairing a cracked structure in an optimized way. The major contribution of this thesis is that this study displays the first results gotten on this subject, which can actually serve as reference for other theses related to our subject.
論文目次 ABSTRACT I
AKNOWLEDGMENTS II
TABLE OF CONTENTS………………………………………………………………………….III
LIST OF TABLES V
LIST OF FIGURES VII
CHAPTER I INTRODUCTION 1
1.1 Motivation 1
1.2 Literature review 2
1.3 Thesis structure 3
CHAPTER II VIBRATION CONTROL 4
2.1 Generalities 4
2.1.1 Different kinds of vibrations control 4
2.1.2 Piezoelectric material 5
2.2 Methodology 6
2.2.1 Governing equations 6
2.2.2 PID control method 8
2.2.3 P control method 9
2.3 Process 10
2.3.1 Finite Element model 10
2.3.2 Modal analysis 14
2.3.3 Transient analysis 14
2.3.4 Results 17
CHAPTER III NUMERICAL SIMULATION OF REPAIRED STRUCTURES 22
3.1 Structures with cracks 22
3.1.1 Linear Elastic fracture mechanics 22
3.1.2 2D Ansys model 24
3.1.3 3D Ansys model 28
3.2 Patch repairs 29
3.2.1 Description of the model 29
3.2.2 Results 32
3.2.3 Convergence study 35
CHAPTER IV NUMERICAL RESULTS 36
4.1 Plate results 36
4.2 Airplane wing results 45
4.3 Natural frequencies of the models 51
CHAPTER V CONCLUSION 55
REFERENCES……………………………………………………………………………………57
參考文獻 [1] Army Technology, “Brüel & Kjær Sound & Vibration Measurement”, https://www.army-technology.com/contractors/noise/bruelkjaer2/attachment/bruelkjaer24/, accessed February 12, 2019

[2] S. M. J. Haider, A. A. Al-Hussain, “Experimental and Simulation Study on Active Vibration Control of Thin Rectangular Plate by Smart Material under Harmonic Excitation”, Computer Engineering and Intelligent Systems, Vol.6, No.1, pp. 49-62, 2015

[3] H. Karagülle, L. Malgaca, H.F. Öktem, “Analysis of active vibration control in smart structures by ANSYS”, Smart Materials and Structures, Vol. 13, pp. 661–667, 2004

[4] Y.C. Hsu, “Optimal Placement of Sensors and Actuators in Vibration Control of Composite Wings”, Master’s thesis, Tainan: Department of Aeronautics and Astronautics, National Cheng Kung University, 87p, 2018.

[5] E. COPET, “Optimal Design of Composite Patch Repair”, Master’s thesis, Tainan: Department of Aeronautics and Astronautics, National Cheng Kung University, 57p, 2017.

[6] “Principles of Passive Vibration Control: Basics”, NPTEL courses, https://nptel.ac.in/courses/112107088/module1/lecture22/lecture22.pdf, Basic of Vibrations for Simple Mechanics Systems, Chapter 22, 2013

[7] Principles of Active Vibration Control: Piezoelectric Accelerometers, NPTEL courses, https://nptel.ac.in/courses/112107088/module1/lecture30/lecture30.pdf, Basic of Vibrations for Simple Mechanics Systems, Chapter 30, 2013

[8] L. Alkafafi, “Time and Frequency Optimal Motion Control of CNC Machine Tools”, PhD thesis, Hamburg: Hamburg University of Technology, 152p, 2013.

[9] V. Kalyani, S. Lohiya, K. Gupta, “Electric Car Charged By Vibration Energy: A Future Technology”, Journal of Management Engineering and Information Technology, Vol.2, No.5, pp. 12-17, 2015

[10] G. Takács, B. Rohal’-Ilkiv, “Direct Closed-Loop Active Vibration Control System Prototyping in Ansys”, in: INTER-NOISE and NOISE-CON Congress and Conference Proceedings. Institute of Noise Control Engineering, pp. 1-12, 2012

[11] D. V. Nghiep and L. H. Son, “Implementation of Digital PID Controller in Siemens PLC S7-300”, SSRG International Journal of Electrical and Electronics Engineering, Vol.5, No.5, pp. 10-13, 2018

[12] Ansys Documentation, 2.3. Piezoelectric Analysis

[13] H. Tada; P. C. Paris; G. R. Irwin, “The Stress Analysis of Cracks Handbook (3rd ed.)”. American Society of Mechanical Engineers, pp. 2-21, 2000

[14] D.P. Rooke, D.J. Cartwright, “Compendium of stress intensity factors”, The stationary Office, London, pp. 9-10, 1976

[15] Wikipedia, “Stress Intensity Factor”,
https://en.wikipedia.org/wiki/Stress_intensity_factor, 2011,

[16] A.V. Phan, “ANSYS TUTORIAL 2-D Fracture Analysis”, ANSYS Release 7.0, University of South Alabama

[17] Ansys Documentation, 17.8. POST1-Crack Analysis

[18] A. A. YALA, A. AKKOUCHE, “General Method for Optimizing Composite Patch Repairs”, Advanced Materials Research, Vols. 1120-1121, pp. 670-674, 2015
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