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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研究生：	阮文山 Nguyen Van Son
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
指導教授：	王仲宇 Chung-Yue Wang
口試委員:
學位類別：	博士 Doctor
系所名稱：	工學院 - 土木工程學系 Department of Civil Engineering
論文出版年：	2023
畢業學年度：	111
語文別：	中文
論文頁數：	164
中文關鍵詞：	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
外文關鍵詞：	Cable network, Cable force identification, Dynamic experiment, Cable bending effect, Arbitrary boundary conditions, vibration-based method
相關次數：	點閱：14 下載：0
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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。

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.

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.        Background of Research    1
2.        Objectives of Research    5
3.        Scope of Research Work    6
4.        Problem Statement    6
5.        Significance of Research    6
6.        Dissertation Overview    7
CHAPTER II    LITERATURE REVIEWS    9
1.        Cable Network    9
1.1.    Cable Network without Considering Bending Effect    9
1.2.    Cable Network with Considering Bending Effect    12
1.3.    Parametric Studies    14
2.        Cable Force Identification Method by Vibration Techniques    15
2.1.    Application for Single Cable    15
2.2.    Application for Cable Network    18
3.        Summary    19
CHAPTER III    FORMULATION OF THE ANALYTICAL SOLUTION    20
1.        Introduction    20
2.        Governing Equation of a Two-bending Cable Network Interconnected by an Inclined Cross-tie.    21
1.1.    The Governing Equation of a Single-Inclined Cable With Sag and Bending Rigidity    22
1.2.    Analytical Equation of a Two-bending Cable Network Interconnected by an Inclined Cross-tie.    33
3.        Verification of Closed-form Solution    42
3.1.    No Consideration of Cable Bending Effect    42
3.2.    Consideration of Cable Bending Rigidity Effect    44
4.        Summary    49
CHAPTER IV    DYNAMIC BEHAVIORS OF A TWO-CABLE NETWORK WITH CABLE BENDING RIGIDITY    50
1.        Introduction    50
2.        A Twin-cable Network with a Vertical Rigid Cross-Tie at an Arbitrary Position    50
3.        A Two-Cable Network with a Flexible Cross-Tie at an Arbitrary Position    58
4.        A Two-cable Network with Mixed Boundary Conditions    61
5.        Cable Bending Rigidity Affected Length    66
6.        Summary    68
CHAPTER V    PARAMETRIC STUDIES    70
1.        Introduction    70
2.        Selection of The Range of The String Likeness Parameter    73
3.        Cable Length Ratio    74
4.        Cable Tension Ratio    76
5.        Cable Bending Stiffness Ratio    78
6.        Combinations of Cable Length Ratio, Tension Ratio, and Bending Ratio    80
7.        The Non-dimensional Cross-Tie Flexibility Parameter    85
8.        The Inclined Angle of The Cross-Tie    89
9.        Summary    93
CHAPTER VI    CABLE FORCE IDENTIFICATION    95
1.        Introduction    95
2.        The Dimensional Analytical Solution    95
3.        Methodology    97
3.1.    Statistic Method to Remove Outliers    98
3.2.    Identification of Cable Forces    99
3.3.    Identification of The Cross-Tie Axial Stiffness    102
4.        Application of Cable Force Identification Method    104
4.1.    A Two-Cable Network with Hinged-End Supports.    105
4.2.    A Two-Cable Network with Mixed Boundary Conditions.    109
5.        Summary    117
CHAPTER VII    CONCLUSIONS AND RECOMMENDATIONS    118
1.        Conclusions    118
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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