羅俊雄臺灣大學：土木工程學研究所曾聖皓Tzeng, Sheng-HaoSheng-HaoTzeng2007-11-252018-07-092007-11-252018-07-092007http://ntur.lib.ntu.edu.tw//handle/246246/50611本論文的主要研究目的，是希望能藉由特徵分析中的奇異值解析方法（singular value decomposition），提出一個簡單且直接的方法，來計算非穩態地表加速度記錄（non-stationary excitation data）的單自由度機率性動態反應（probabilistic dynamic response）。 在計算出其動態機率性反應之後，藉由本文中提出之方法我們可以得到一組做為參考的地震歷時（reference time history），可用其來當作特定的地震事件對於指定的區域（譬如台北盆地或是嘉南平原）的一個參考標準。藉由各測站所量測到的地震歷時與參考歷時之間的差異，以及分析結果和現行地震規範的比較，可將結果作為耐震設計規範修訂之一具以及重建之參考。 在傳統的分析方法裡，統計數據的方法普遍的被使用。在量測到各測站的地震歷時之後，由數值方法計算出其單自由度反應，再求得各測站所對應的反應譜。最後再求取各反應譜的平均值以及標準偏差。這種傳統的分析方法需要蒐集大量的地震歷時記錄，計算過程也相當的費時。文中提出的方法，可以改善這些問題。 本文將針對三個例子進行分析：1999年9月21日於台北盆地的地震記錄、1999年9月21日於嘉南平原的地震記錄、2002年3月31日於台北盆地的地震記錄。根據分析結果以及傳統方法和地震規範的比較，由提出的發法所求得的參考地震歷時，可以相當程度的表現出當地的地震特性，並可作為耐震設計規範修訂之根據及參考。The theme of this paper is to provide a relatively simple and straightforward procedure to compute the probabilistic dynamic response of linear SDOF system using non-stationary excitation data by applying singular value decomposition method (SVD). After compute the probabilistic dynamic response, we can regard it as a reference response to the specified area (such as Taipei basin or Chia-nan plain) and the specified earthquake event (such as 1999_9_21 or 2002_3_31 earthquake event). Then we can analysis the difference between reference and records at each station. The result can be further compared with current seismic code. And we can make some comments and suggestions to it. In a traditional approach, the statistical analysis is commonly used. The response of each record is derived first. After that, the response spectrum corresponding to each earthquake records were computed. Then, the mean and standard deviation of these response spectra corresponding to each station and each event may be derived. The statistical analysis requires a huge amount of data and computation takes time. The proposed method will alleviate this aspect of problems. Followed by the procedure described in the thesis, three analysis case were used in this study, (i) 2002_3_31 in Taipei basin. (ii) 1999_9_21 in Taipei basin. (iii) 1999_9_21 in Chia-nan plain. According to the analysis result and current seismic, the reference time history is quite enough to represent the behavior of the specified area and earthquake event. Besides, a revision to some parts of seismic zone in Taipei basin might be needed.COTENTS ABSTRACT (English) Ⅰ CONTENTS Ⅱ LIST OF FIGURES Ⅲ LIST OF TABLES Ⅳ CHAPTER 1 INTRODUCTION 1 1.1 Background and Motivation 1 1.2 Literature Review 1 1.3 Objective 3 CHAPTER 2 Methodology 4 2.1 Karhunen . Loève transform 6 2.1.1 Construct system covariance matrix 6 2.1.2 The mean square response of a linear sdof system 8 2.2 Singular.Value Decomposition of Seismic Wave 9 2.3 Comparison between two methods 11 2.4 Physical meaning of the calculated eigenvector 12 2.5 Generation of the reference time history 13 CHAPTER 3 Application to Earthquake 15 Response data 3.1 Input ground motions 15 3.1.1 Taipei basin records 15 3.1.2 Chia-nan plain records 16 3.2 Current code on design spectrum in Taipei basin and Chia-nan plain 16 3.2.1 Current seismic code in Taipei basin 17 3.2.2 Current seismic code in Chia-nan plain 18 3.3 Analysis procedure and result 19 3.3.1.1 2002_3_31 in Taipei basin in the EW direction 21 3.3.1.2 2002_3_31 in Taipei basin in the NS direction 21 3.3.1.3 Summary and discussion 22 3.3.2.1 1999_9_21 in Taipei basin in the EW direction 23 3.3.2.2 1999_9_21 in Taipei basin in the NS direction 24 3.3.2.3 Summary and discussion 25 3.3.3.1 1999_9_21 in Chia-nan plain in the EW direction 25 3.3.3.2 1999_9_21 in Chia-nan plain in the NS direction 25 3.3.3.3 Summary and discussion 26 3.4 Summary and discussion 26 CHAPTER 4 Conclusions and Future Research 95 4.1 Summary and Conclusions 95 4.2 Suggestions for Future Research 97 References 984312836 bytesapplication/pdfen-US奇異值分解法singular value decompositionthesishttp://ntur.lib.ntu.edu.tw/bitstream/246246/50611/1/ntu-96-R92521243-1.pdf