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研究生： 羅仕杰
Lo, Shih-Chieh
論文名稱： 結構時變參數之識別研究與快速損壞評估驗證
Rapid Structural Damage Assessment through Time-varying Parameters
指導教授： 朱世禹
Chu, Shih-Yu
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： 2010
畢業學年度： 98
語文別： 英文
論文頁數： 168
中文關鍵詞： 線上系統識別 、損害評估 、理亞普諾夫理論 、遞迴計算 、結構損害監測 、時變參數的遞迴計算最小平方估測法 、連續時間參考模型自適應性系統識別技術
外文關鍵詞： system identification, adaptive identification, model-reference adaptive control, lyapunov theory, recursive least-squares method, structural health monitoring, damage assessment, relative story transfer function
相關次數： 點閱：168  下載：5 
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    • 識別結構健康狀況及了解其是否發生損害為發展結構物健康監測主要的重點之一。為了發展即時結構損害評估系統，本文說明二種線上結構識別方法，第一種為參考模型自適應性系統識別技術(model-reference adaptive identification technique, MRAIT)，另一種為時變參數的遞迴計算最小平方估測法(recursive least- squares, RLS)。不同於傳統結構物之離線或非即時結構物識別方式，參考模型自適應性系統識別技術是將原先用於即時控制之參考模型自適應性結構控制(model-reference adaptive structural control, MRASC)概念，用於結構參數識別及結構損害監測中。其調整參數所用之自適應性識別律(adaptive identification law)是由Lyapunov理論所延伸而來，利用預選模型和目標結構之反應誤差可即時修正時變可調參數及對應之結構動態參數。時變參數的遞迴計算最小平方估測法為利用最小平方法(classic least- squares)之概念並將其修改為遞迴計算的方式，使其用於線上結構損害識別中。為驗證理論之可行性，本文利用國家地震工程研究中心之三層樓鋼構標竿結構振動台實驗資料進行各種參數討論。真實建物之健康監測與破壞診斷之部分，文中選擇於921集集地震發生損害之中興大學土木環工大樓進行驗證。此系統目前已安裝於國立成功大學雲平大樓內，未來可安裝於地震發生機率較高之建築物(例如：台東消防隊新大樓、宜蘭或花蓮地區之結構強地動觀測站)，並與中央氣象局現有強震儀設備並聯運作。

    The identification of structural damage is an important objective of health monitoring for civil infrastructures. In order to develop a real-time structural damage assessment system, many on-line damage assessment methods, such as the model-reference adaptive identification technique (MRAIT) and the on-line recursive least-squares (RLS) identification technique, are discuss in this thesis. In the MRAIT, the adaptation law for parameter estimation is designed based on Lyapunov’s direct method. An energy-like candidate function is composed of weighted response-tracking error and weighted parameter-estimation error. The RLS method is based on the framework of adaptive filters; the observations are obtained sequentially in real-time. It is desirable to perform the identification tasks recursively to reduce computation time and to be able to observe the variations of parameters on-line. By observing the variations of the identified time-varying modal properties of two benchmark models (benchmarks D and G) and a real building (Chung Hsing Civil and Environmental Engineering Department Building), global and local damage behavior due to weak elements or failure of components can be determined.

    摘要 I ABSTRACT II 誌謝 III TABLE OF CONTENTS IV LIST OF TABLES VI LIST OF FIGURES VII CHAPTER 1. INTRODUCTION 1 1.1 LITERATURE REVIEW 1 1.2 SCOPE OF THIS THESIS 8 CHAPTER 2. MODEL-REFERENCE ADAPTIVE IDENTIFICATION TECHNIQUE 11 2.1 MODEL-REFERENCE ADAPTIVE IDENTIFICATION ALGORITHM 11 2.1.1 Equation of motion of predefined numerical model 11 2.1.2 Equation of motion of the actual target structure 14 2.1.3 Design of artificial adaptive signal 16 2.1.4 Adaptive identification law based on lyapunov stability theory 17 2.2 IDENTIFICATION PERFORMANCE OF MRAIT ON TIME-INVARIANT SYSTEMS 20 2.2.1 Identification procedures based on MRAIT 24 2.2.2 Training stage 27 2.2.3 Enhancing stage 30 2.2.4 Confirmation Stage 33 2.3 DAMAGE DETECTION AND FAILURE PATTERN RECOGNITION BY MRAIT 34 2.3.1 Damage Detection 34 2.3.2 Failure Pattern Recognition by MRAIT 40 2.4 CONCLUSIONS FOR THIS CHAPTER 45 CHAPTER 3. ON-LINE RECURSIVE LEAST-SQUARES METHOD 46 3.1 RECURSIVE LEAST-SQUARES METHOD 47 3.1.1 RLS identification technique 47 3.2 PARAMETER CHOICE IN RLS ALGORITHM 53 3.3 PARAMETER ESTIMATION OF SDOF SYSTEM 56 3.4 RELATIVE STORY TRANSFER FUNCTION 68 3.4.1 Relative story transfer function technique 68 3.4.2 Numerical simulation of five-story frame structure 72 CHAPTER 4. VERIFICATION THROUGH BENCHMARK IMPLEMENTATION 88 4.1 PARAMETER ESTIMATION OF MDOF SYSTEM 88 4.1.1 Selection and validation of equivalent linear ARMA model 91 4.2 PARAMETER ESTIMATION OF BENCHMARK G BUILDING 96 4.3 DAMAGE ASSESSMENT OF STEEL STRUCTURE USING BENCHMARK D SHAKING TABLE TEST DATA 106 4.4 PARAMETER ESTIMATION OF BENCHMARK D BUILDING 110 4.5 DAMAGE ON BENCHMARK D STRUCTURE AND FIND DAMAGE LOCATION 119 4.6 CONCLUSIONS FOR BENCHMARK TEST 125 CHAPTER 5. DAMAGE ASSESSMENT OF REAL BUILDING 126 5.1 DAMAGE ASSESSMENT CHUNG HSING CIVIL AND ENVIRONMENTAL ENGINEERING DEPARTMENT BUILDING 126 5.2 BUILDING PROPERTIES AND EARTHQUAKE RECORDS 126 5.3 CLASSIC LEAST-SQUARES METHOD 130 5.4 DAMAGE ASSESSMENT ON-LINE RLS IDENTIFICATION 135 5.5 ON-LINE RLS IDENTIFICATION APPLIED TO FINDING DAMAGE LOCATION 147 5.6 CONCLUSIONS FOR THIS CHAPTER 160 CHAPTER 6. CONCLUSION AND FUTURE WORK 161 REFERENCES 163

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