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研究生: 羅義
CAPY, Thomas
論文名稱: 修補結構之振動控制
Vibration Control of Repaired Structures
指導教授: 胡潛濱
Hwu, Chyan-Bin
學位類別: 碩士
Master
系所名稱: 工學院 - 航空太空工程學系
Department of Aeronautics & Astronautics
論文出版年: 2019
畢業學年度: 107
語文別: 英文
論文頁數: 67
外文關鍵詞: Ansys APDl, Vibration Control, Stress Intensity Factor, Patch repairs
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  • 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.

    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

    [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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