合乎台灣本土地震特性之單自由度等值線性系統之建立及其應用

Establishment and Application of Linear SDOF Equivalent System Conforming to Local Earthquake Characteristics in Taiwan

林正修(Cheng-Hsiu Lin)

指導教授 ： 宋裕祺

國立臺北科技大學/工程學院/土木與防災研究所/碩士(2005年)

摘要

非線性動力歷時分析係評估結構物非線性行為的基本方法，由於分析方式過程繁瑣、複雜，所需時間較長，除非針對特殊目的的結構安全檢核外，該法較不被一般熟悉線性分析的工程師所樂用。等值線性系統具有觀念簡潔，便於使用等優點，目前廣泛應用於結構非線性分析當中。ATC-55指出目前的研究，對於等值線性系統中有關等值阻尼與等值勁度之最佳化組合，尚未獲得令人滿意的答案。為有效解決此問題，本文將建構一套合理的分析方法，針對國內各個地震測站所蒐集到的地震紀錄進行等值線性系統的分析，並就分析結果進行非線性迴歸，以供為結構分析之用。
本文以集集大地震各地震測站所蒐集到的原始加速度歷時資料（Original Time History），及與規範反應譜相諧和（Spectrum Compatible）之人造加速度歷時資料，針對結構週期分別為0.3秒（短週期）及1.0秒（長週期）之結構物為對象，進行線性與非線性歷時分析。本文探討內容主要分為三部份：第一部份著重於韌性比與譜加速度修正係數關係的建立；第二部份在於尋找韌性比與等值勁度、等值阻尼比的關係；第三部份則進一步探討正規化譜加速度與譜位移的關係。
本文針對各地震測站所建立的等值線性系統迴歸成果，除可符合考量國內本土地震特性的結構非線性分析之所需外，更希望能供為國內有關結構性能耐震設計規範編訂時參考之用。

關鍵字

等值線性 ； 韌性比 ； 等值阻尼 ； 等值勁度 ； 譜加速度 ； 譜位移

並列摘要

Nonlinear Time History Analysis is the basic method to appraise the structural nonlinear behavior. Because of its tedious and complex analysis process, this method is not extensively used by the engineers who are commonly familiar with linear analytical method. Equivalent linear system (ELS), whereas, is very popularly used in structural nonlinear analysis for its simplicity and convenience. As a result, a rational analytical method will be established in this thesis to process ELS according to data collected from domestic earthquake survey station.
Original time history recorded from Chi-Chi earthquake and artificial spectrum compatible time history are all used for linear and nonlinear time history analyses aiming at structures of structural period of 0.3s (short period) and 1.0s (long period), respectively. The content discussed comprises of three parts: the first one is the establishment of the relationships between ductility ratio and modification coefficient of spectral acceleration; the second one is the formation to link ductility ratio and equivalent stiffness and damping. Finally, the discussion of normalized acceleration spectrum and displacement spectrum (NASD) is also further made.
The analytical results obtained in this thesis might provide the useful reference for the revise of the structural design code on seismic-resisting.

並列關鍵字

Equivalent Linearization ； Ductility ； Equivalent Damping ； Equivalent Stiffness ； Spectral Acceleration ； Spectral Displacement

參考文獻

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