任意邊界條件下雙撓曲纜索連結系統的 動態特性及索力識別

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阮文山(Nguyen Van Son) 查詢紙本館藏

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土木工程學系

論文名稱

任意邊界條件下雙撓曲纜索連結系統的動態特性及索力識別
(Dynamic Behaviors and Cable Force Identification of a System with Two Linked Bending Cables and Arbitrary Boundary Conditions)

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摘要(中)

本論文進行傾斜柔性軸力桿互相連接的兩條平面內彎曲之纜索系統振動行為之正向和反向分析，分析方法可應用於纜索橋梁之健康監測及診斷。
本研究推導出雙纜索網絡系統振動行為的解析解，其鋼纜以受拉梁進行建模，分析纜索抗彎剛度對纜索網絡動態行為的影響。通過比較相關文獻的研究結果，並使用有限元軟體 ABAQUS 進行數值模擬來驗證解析解之正確性。然後以解析解進行參數研究，找到對纜索網絡振動頻率有強烈影響之參數。因纜索網絡分析中需要考慮纜索彎曲之剛度, 本研究亦引入了纜索彎曲有效長度(cable bending affected length)之概念進行分析，。最後，在反向分析中以解析解之頻率反應來識別具有任意邊界條件之雙纜索網絡的索力，而無需重複拆除纜索間之斜拉連結桿。
由於本論文所提出之診斷方法無需反覆拆除連結桿而精確識別任意邊界條件下以彈性軸力桿連結之雙纜索系統的索力，可有效降低橋梁健康監測成本。

摘要(英)

In this paper, the forward and reverse analysis of the vibration behavior of two in-plane bending cable systems connected by inclined flexible axial rods is carried out. The analysis method can be applied to the health monitoring and diagnosis of cable bridges.
In this study, the analytical solution of the vibration behavior of the double-cable network system is derived. The cable is modeled as a tension frame, and the influence of the cable′s bending stiffness on the cable network′s dynamic behavior is analyzed. The correctness of the analytical solution is verified by comparing the research results of the relevant literature and the simulation results obtained by the finite element software ABAQUS. A parameter study is then performed with an analytical solution to find the parameters that have a strong influence on the vibration frequency of the cable network. Since the cable bending stiffness needs to be considered in the cable network analysis, this study also introduces the concept of cable bending affected length for analysis. Finally, the frequency response of the analytical solution is used in an inverse analysis to identify the cable forces of a dual-cable network with arbitrary boundary conditions without repeated removal of cable-stayed connecting rods between cables.
Because the diagnostic method proposed in this paper can accurately identify the cable force of a double cable system connected by elastic axial force rods under any boundary conditions without repeatedly removing the connecting rods, it can effectively reduce the cost of bridge health monitoring and diagnosis.

關鍵字(中)

★ 纜索網絡
★ 索力識別
★ 動態實驗
★ 纜索彎曲效應
★ 任意邊界條件
★ 基於振動之方法

關鍵字(英)

★ Cable network
★ Cable force identification
★ Dynamic experiment
★ Cable bending effect
★ Arbitrary boundary conditions
★ vibration-based method

論文目次

摘要 i
ABSTRACT ii
ACKNOWLEDGEMENTS iii
TABLE OF CONTENTS iv
LIST OF TABLES x
LIST OF FIGURES vii
EXPLANATION OF SYMBOLS xi
CHAPTER I INTRODUCTION 1
1.1. Background of Research 1
1.2. Objectives of Research 5
1.3. Scope of Research Work 6
1.4. Problem Statement 6
1.5. Significance of Research 6
1.6. Dissertation Overview 7
CHAPTER II LITERATURE REVIEWS 9
2.1. Cable Network 9
2.1.1. Cable Network without Considering Bending Effect 9
2.1.2. Cable Network with Considering Bending Effect 12
2.1.3. Parametric Studies 14
2.2. Cable Force Identification Method by Vibration Techniques 15
2.2.1. Application for Single Cable 15
2.2.2. Application for Cable Network 18
2.3. Summary 19
CHAPTER III FORMULATION OF THE ANALYTICAL SOLUTION 20
3.1. Introduction 20
3.2. Governing Equation of a Two-bending Cable Network Interconnected by an Inclined Cross-tie. 21
3.1.1. The Governing Equation of a Single-Inclined Cable With Sag and Bending Rigidity 22
3.1.2. Analytical Equation of a Two-bending Cable Network Interconnected by an Inclined Cross-tie. 33
3.3. Verification of Closed-form Solution 42
3.3.1. No Consideration of Cable Bending Effect 42
3.3.2. Consideration of Cable Bending Rigidity Effect 44
3.4. Summary 49
CHAPTER IV DYNAMIC BEHAVIORS OF A TWO-CABLE NETWORK WITH CABLE BENDING RIGIDITY 50
4.1. Introduction 50
4.2. A Twin-cable Network with a Vertical Rigid Cross-Tie at an Arbitrary Position 50
4.3. A Two-Cable Network with a Flexible Cross-Tie at an Arbitrary Position 58
4.4. A Two-cable Network with Mixed Boundary Conditions 61
4.5. Cable Bending Rigidity Affected Length 66
4.6. Summary 68
CHAPTER V PARAMETRIC STUDIES 70
5.1. Introduction 70
5.2. Selection of The Range of The String Likeness Parameter 73
5.3. Cable Length Ratio 74
5.4. Cable Tension Ratio 76
5.5. Cable Bending Stiffness Ratio 78
5.6. Combinations of Cable Length Ratio, Tension Ratio, and Bending Ratio 80
5.7. The Non-dimensional Cross-Tie Flexibility Parameter 85
5.8. The Inclined Angle of The Cross-Tie 89
5.9. Summary 93
CHAPTER VI CABLE FORCE IDENTIFICATION 95
6.1. Introduction 95
6.2. The Dimensional Analytical Solution 95
6.3. Methodology 97
6.3.1. Statistic Method to Remove Outliers 98
6.3.2. Identification of Cable Forces 99
6.3.3. Identification of The Cross-Tie Axial Stiffness 102
6.4. Application of Cable Force Identification Method 104
6.4.1. A Two-Cable Network with Hinged-End Supports. 105
6.4.2. A Two-Cable Network with Mixed Boundary Conditions. 109
6.5. Summary 117
CHAPTER VII CONCLUSIONS AND RECOMMENDATIONS 118
7.1. Conclusions 118
7.2. Recommendations 120
CHAPTER VIII FUTURE WORKS 122
REFERENCES 125
APPENDICES 130
Appendix A: Derivation of The Continuity Condition at The Cross-Tie Location 130
Appendix B: Derivations to Obtain The Non-dimensional Forms of The Analytical Solution and The Mode Shape Function. 132
Appendix C: Transformation of The Non-dimensional Parameters 141
LIST OF PUBLICATIONS 143

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指導教授

王仲宇(Chung-Yue Wang)

審核日期

2023-2-1

推文