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研究生: 陳秋萬
Darmawan - Saputra Tarana
論文名稱: 利用黏彈性模型探討混凝土梁之敲擊載重反應
STUDY ON IMPACT LOAD RESPONSE OF CONCRETE BEAM USING VISCOELASTIC MODEL
指導教授: 張大鵬
Ta-Peng Chang
口試委員: 黃兆龍
Chao-Lung Hwang
謝佑明
Yo-Ming Hsieh
邱進隆
Jin-Long Qiu
孫詠明
Yo-Ming Sun
學位類別: 碩士
Master
系所名稱: 工程學院 - 營建工程系
Department of Civil and Construction Engineering
論文出版年: 2015
畢業學年度: 103
語文別: 英文
論文頁數: 113
中文關鍵詞: Viscoelastic materialDynamic responseImpact loadNumerical.
外文關鍵詞: Viscoelastic material, Dynamic response, Impact load, Numerical.
相關次數: 點閱:133下載:2
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  • The main goal of this study is to investigate the dynamic response of viscoelastic material due to impact load from free fall of steel ball, in which, the dynamic responses in the time and frequency domain from experimental program and numerical simulation using ABAQUS commercial software were conducted. Six mortar beam specimens of 1001001000 mm were casted for the test to obtain the acceleration. Experimental variables included two curing ages of 14 and 21 days for mortar and two different diameters of 40 and 50 mm for dropping steel balls.
    The results of time domain response show that the damping values from logarithmic decrements of concrete specimens were varied from 0.026 to 0.044. The result of Fast Fourier Transform (FFT) with 40 mm diameter of steel ball test shows that maximum acceleration at age of 14 days is 1.44 m/s2 at first dominating frequency 1678.4 Hz and 3738.4 Hz for second dominating frequency. The dominating frequencies value is very important when there is a need to select proper accelerometer for further investigation. The age of beam influenced energy dissipation and strain energy of beam model. The result shows that from 14 days to 21 days, the loss factor of beam were reduced. The implementation of creep in ABAQUS with relaxation data was successfully performed in order to study about dynamic response of viscoelastic material. The loss factor and phase angle between stress and strain were obtained and listed.


    The main goal of this study is to investigate the dynamic response of viscoelastic material due to impact load from free fall of steel ball, in which, the dynamic responses in the time and frequency domain from experimental program and numerical simulation using ABAQUS commercial software were conducted. Six mortar beam specimens of 1001001000 mm were casted for the test to obtain the acceleration. Experimental variables included two curing ages of 14 and 21 days for mortar and two different diameters of 40 and 50 mm for dropping steel balls.
    The results of time domain response show that the damping values from logarithmic decrements of concrete specimens were varied from 0.026 to 0.044. The result of Fast Fourier Transform (FFT) with 40 mm diameter of steel ball test shows that maximum acceleration at age of 14 days is 1.44 m/s2 at first dominating frequency 1678.4 Hz and 3738.4 Hz for second dominating frequency. The dominating frequencies value is very important when there is a need to select proper accelerometer for further investigation. The age of beam influenced energy dissipation and strain energy of beam model. The result shows that from 14 days to 21 days, the loss factor of beam were reduced. The implementation of creep in ABAQUS with relaxation data was successfully performed in order to study about dynamic response of viscoelastic material. The loss factor and phase angle between stress and strain were obtained and listed.

    Abstract ii Acknowledgements iii Table of Contents iv List of Tables vii List of Figures viii CHAPTER 1 Introduction 1 1.1 Problem Background 1 1.2 Thesis Objectives 2 1.3 Thesis Outline 3 CHAPTER 2 Literature Review 5 2.1 Introduction 5 2.2 Linear Viscoelasticity 5 2.2.1 Creep and Relaxation 6 2.2.2 Hereditary Approach 7 2.2.3 Harmonic excitation and complex modulus 9 2.2.4 Interpretation of the complex modulus 11 2.2.5 Hysteresis and energy dissipation 12 2.3 Viscoelastic models derived from differential equations 13 2.4 Time domain viscoelasticity in ABAQUS 14 2.5 Implementation of creep in ABAQUS with relaxation test data 16 CHAPTER 3 Experimental Program and Numerical Simulation 23 3.1 Introduction 23 3.2 Experimental Program 23 3.3 Numerical simulation 25 3.3.1 General 25 3.3.2 Geometry 27 3.3.3 Boundary conditions and constraints 29 3.3.4 Material models 30 3.3.5 Loads 30 CHAPTER 4 Results and Discussions 47 4.1 Experimental Result 47 4.2 Numerical Analysis 48 CHAPTER 5 Conclusions and Future Directions 69 5.1 Conclusions 69 5.2 Future Directions 70 References 71 Appendices 75 Appendix A. Definition and implementation of viscoelastic properties in the finite-element model on ABAQUS. 75 Appendix B. ABAQUS input file for material properties for concrete of beam. 77 Appendix C. The calculation of contact force due to dropping ball. 83 Appendix D. The calculation of contact time and load amplitude of impact ball based on Hertz contact Theory (SI Unit). 85 Appendix E. Evaluation of viscoelastic material in ABAQUS (Prony series output). 89 Appendix F. Input file example in ABAQUS (40 mm diameter at age of 14 days). 91 Appendix G. Calculation of critical time increment using Mathcad program. 99 Appendix H. Calculation of mesh size using Mathcad program. 101

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