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研究生：	吳子其 Wu, Zih-Chi
論文名稱：	超高性能混凝土結構耐震補強自動化運算框架之開發 An Automated Computational Framework for the Seismic Retrofit of Structures using Ultra-High Performance Concrete
指導教授：	洪崇展 Hung, Chung-Chan
共同指導:	袁宇秉 Yuen, Yu-Ping
學位類別：	碩士 Master
系所名稱：	工學院 - 土木工程學系 Department of Civil Engineering
論文出版年：	2026
畢業學年度：	114
語文別：	英文
論文頁數：	343
中文關鍵詞：	超高性能混凝土 (UHPC) 、結構耐震補強、自動化計算框架、纖維斷面法、多軸軸力彎矩互制非線性鉸
外文關鍵詞：	Ultra-High Performance Concrete (UHPC), Seismic Retrofit, Fiber Section Analysis, Interacting P-M-M Nonlinear Hinges
相關次數：	點閱：44 下載：1
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超高性能混凝土 (UHPC) 於鋼筋混凝土建築之耐震補強工程中具備優異之力學性能提升潛力。然而，該材料常受限於不規則補強斷面幾何與其非線性材料性質所帶來之分析技術瓶頸，導致無法廣泛應用。為解決此困境，本研究開發一套基於 MATLAB 的自動化計算架構 UltraRetro，用於優化並整合從微觀斷面補強設計至巨觀整體結構分析之完整工作流程。
其核心計算引擎整合多邊形纖維斷面離散化演算法與複合求根演算法，用以精確處理多材料之任意邊界斷面分析，配合纖維元素斷面之正交座標轉換，該架構能程式化推導柱元件之七點 P-M_{2}-M_{3} 互制塑鉸與四點剪力塑鉸，並建立補強梁、結構牆及磚之塑鉸模型。為提升工程實務效率，本構架設有自動化前端模組，能無縫對接臺灣建築物耐震側推分析 (TEASPA) 資料表，並利用正規表達式 (Regex) 引擎將標準化塑性鉸參數與斷面開裂勁度修正係數直接匯入商用結構分析軟體腳本檔中。
本研究之斷面分析引擎已通過 OpenSees 纖維斷面模型之比對驗證，證實任意不規則斷面於多向彎曲下皆具備高度之數值精確性，且柱元件變位行為亦透過既有反覆載重試驗數據完成驗證。最後，經由多層多跨構架之側推評估結果顯示，此自動化計算流程能有效降低傳統人工前處理之繁瑣建模成本，並成功生成穩定且可分析之非線性塑性鉸側推模型，為超高性能混凝土耐震補強設計提供一項高效之設計及分析框架。

Ultra-high performance concrete (UHPC) offers superior mechanical enhancements for the seismic retrofitting of reinforced concrete (RC) buildings. However, its widespread adoption is constrained by the analytical complexity of modeling irregular retrofitted cross-sections and multi-material nonlinearities. This study presents a MATLAB-based automated computational framework, UltraRetro, to streamline the workflow from sectional retrofit design to global structural analysis. The core computational engine integrates a polygon-based fiber-section discretization algorithm and a hybrid root-finding solver to process arbitrary section boundaries under multi-material constitutive laws. Utilizing orthogonal coordinate transformations for multiaxial bending, the framework programmatically derives normalized 7-point P-M_{2}-M_{3} interactive flexural hinges and 4-point shear hinges for columns, alongside specialized macro-models for retrofitted beams, shear walls, and masonry struts. To optimize engineering workflows, an automated frontend module interfaces with the Taiwan Earthquake Assessment for Structures by Pushover Analysis (TEASPA) database and uses a regular expression engine to inject normalized hinge parameters and stiffness modifiers directly into commercial finite element software scripts, such as ETABS (.e2k) and SAP2000 (.s2k). The cross-sectional solver is verified against OpenSees fiber-section models, demonstrating high numerical accuracy under multidirectional bending on arbitrary irregular sections, and member-level kinematics are validated using historical cyclic test data. Finally, a system-level pushover evaluation of a multi-story, multi-bay frame structure demonstrates that the automated pipeline efficiently minimizes manual preprocessing overhead and successfully generates a stable FEM model with nonlinear hinges for global seismic performance characterization.

Abstract i
摘要 ii
Acknowledgments iii
Table List ix
Figure List x
Nomenclature xv
Chapter 1. Introduction 1
1 Background and Motivation 1
2 Problem Statement 2
3 Research Objectives and Scope 3
4 Thesis Organization 5
Chapter 2. Literature Review 7
1 Methodology of Seismic Capacity Evaluation 7
1.1 Nonlinear Static Analysis (ATC, 1996) 9
1.2 Capacity Curve (Pushover Curve) 10
1.3 Introduction of the Capacity Spectrum Method 10
1.4 Calculating Demand Using the Capacity Spectrum Method 11
1.5 Seismic Performance Curve (Chiou et al., 2020) 13
1.6 Bilinear Idealization and Equivalent Dynamic Parameters 13
1.7 Equivalent Damping Formulation 14
1.8 Seismic Performance Target Ground Acceleration 15
2 Material Characteristics of Ultra-High Performance Concrete 17
3 Constitutive Modeling of UHPC Retrofit Sections 20
4 Structural Performance of UHPC-Retrofitted Members 23
4.1 UHPC Jacketing Columns 23
4.2 UHPC Shotcrete Retrofitted Infilled Masonry RC Frames 29
5 Analytical Methods for Cross-Sectional Analysis 34
5.1 Fiber Element Method 34
5.2 Mesh Algorithm for Arbitrary Cross Sections 37
6 Analytical Modeling and Implementation of Nonlinear Hinges 40
6.1 Methodology of Deformation Simulation 41
6.2 Hinge Model of UHPC-Retrofitted Elements 44
7 Review of Prior Analytical Frameworks for Seismic Retrofit 59
7.1 Taiwan Earthquake Assessment for Structure by Pushover Analysis (TEASPA) 59
7.2 Design and Assessment Framework for UHPC-Retrofitted Structures 63
Chapter 3. Methodology and Implementation 69
1 Fundamental Assumptions and Limitations 70
1.1 Kinematic Assumptions 70
1.2 Material Interface Mechanics 71
1.3 Wall Member Boundary Conditions 71
2 Material Constitutive Models 72
2.1 Normal Concrete (NC) 72
2.2 Reinforcing Steel 75
2.3 Ultra-High Performance Concrete (UHPC) 77
3 Cross-Sectional Analysis and Fiber-Section Formulation 79
3.1 Segment-based Section Discretization and Meshing Methodology 80
3.2 Section Discretization and Meshing Procedure 83
3.3 Spatial Material Assignment and Confinement Assessment 85
3.4 Structural Limit States and Failure Criteria 90
3.5 Cross-Sectional Kinematics and Force Equilibrium 91
3.6 Orthogonal Coordinate Transformation for Biaxial Bending 94
4 Component-Based Displacement and Plastic Hinge Formulations 95
4.1 P-M Flexural Hinge Model for UHPC-Retrofitted Columns 97
4.2 Shear Plastic Hinge Model for UHPC-Retrofitted Columns 100
5 Generation of Nonlinear Backbone Curves and Plastic Hinges 107
5.1 Algorithmic Identification of Limit States 107
5.2 Kinematic Transformation and Hinge Normalization 110
5.3 Data Packaging and FEA Software Integration 118
6 Theoretical Verification and Experimental Validation 123
6.1 Verification of Uniaxial Moment-Curvature Analysis 125
6.2 Verification of Multiaxial Moment-Curvature Analysis 131
6.3 Model Validation of UHPC-Retrofitted Columns with High Ductility 138
6.4 Model Validation of UHPC-Retrofitted Columns with Low Shear Capacity 144
7 Summary and Conclusion of Chapter 3 150
Chapter 4. Software Development and Technical Implementation 153
1 MATLAB App Designer Environment and System Architecture 155
1.1 Architectural Design Framework 156
2 User Interface Design and Graphical Layout 159
2.1 Data Import Module Interface 160
2.2 Material Definition Workspace 164
2.3 Retrofit Design Workspace 168
2.4 Moment-Curvature Analysis Dashboard 176
2.5 Nonlinear Hinge Generation Window 180
2.6 Design Management and Export Utility 183
3 Automation and Program Integration Workflow 187
3.1 Modular Inter-Process Communication Pipeline 187
3.2 Optimization and Section-Centric Caching Sequence 192
4 Generalized Fiber-Section Solver and Structural Plasticity Engine 199
4.1 Section Discretization and Rotational Kinematics 199
4.2 Nonlinear Strain-Compatibility and Biaxial Equilibrium Solver 207
4.3 Programmatic Keypoint Array Extraction and Registry Assignment 213
5 Automated Global Structural Model Splicing and Deck Generation 215
5.1 Base File Parsing and Software Identification 217
5.2 Multi-Format Regular Expression (Regex) Engine 218
5.3 In-Place Database Purging and Safe Stream Injection 219
6 Summary and Conclusion of Chapter 4 221
Chapter 5. Practical Utility and Retrofit Case Studies 223
1 Case Study 1: Two-Story Two-Bay Frame 225
1.1 Baseline Geometry and Cross-Sectional Configurations 226
1.2 Procedural Implementation and User Interface Guide 232
1.3 Algorithmic Verification and Section Solver Outputs 256
2 Case Study 2: High-Rise Building with UHPC-Retrofitted Columns 267
2.1 Baseline Geometry and Cross-Sectional Configurations 269
2.2 Baseline Coordinate Transformation and Dynamic Characterization 274
2.3 Sectional UHPC Retrofit Design and Column Allocation 279
2.4 UltraRetro Framework Execution 284
2.5 Global Seismic Performance Enhancement 293
2.6 Algorithmic Optimization and Workflow Efficiency 296
3 Case Study 3: Seismic Performance Evaluation of Various Retrofit Strategies 298
3.1 Baseline Structural Assessment and Performance Targets 299
3.2 Retrofit Section Design Configurations 302
3.3 Comprehensive Comparison of Retrofit Strategies 306
3.4 Conclusion of Case Study 3 313
Chapter 6. Conclusions 315
References 319
                                    

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