臺灣博碩士論文加值系統

本研究以一偏移之遲滯迴圈為基本假設，並引入一有效延展比 作為偏移量之參數，據以修正傳統由延展比 建立之等效週期與等效阻尼參數。為了界定有效延展比之合理參數值，研究以白噪程序作為系統之輸入，以比較提議之等效線性系統於預測非線性位移反應之成效，再以最佳統計結果分析最佳 之參數關聯趨勢，並建議最佳之 參數值。分析結果顯示，最佳有效延展比 普遍低於給定之 值，其比值並隨 之增加而遞增至1左右，因而傳統之等效系統分析法在低延展比時普遍高估等效阻尼，而產生低估位移反應之現象。

This thesis examines a new equivalent system approach based on bilinear systems with hysteretic drift where an effective ductility ratio is used as the drift parameter. The drift parameter is used to modify the conventionally employed equivalent period and damping formulations involving only the ductility ratio . To explore the feasible parameter range for the effective ductility, white noise is considered as the system input and observations of the response differences are made. A subsequent statistical analysis is conducted to examine the trend of best in relation to other system parameters. Study results show that the best effective ductility ratio is generally lower than the ductility ratio , and their ratio gradually increases towards unity as the system ductility increases. The traditional equivalent system analysis may thus overestimate the equivalent damping in low ductility, and underestimate the resulting displacement responses.

第一章 緒論 5
1.1 研究動機與目的 5
1.2 研究方法與內容 8
第二章 傳統等效線性系統介紹 10
2.1 前言 10
2.2 割線勁度法(Secant) 10
2.3 等效線性系統（EL） 12
2.4 Iwan之最佳等效線性系統(1980) 15
2.5 Iwan之改良最佳等效線性系統(2002) 16
2.6 最佳等效線性系統(徐世鈞) 17
2.7 最佳等效線性系統(余旭洲) 19
第三章 白噪反應下之修正等效線性系統分析 22
3.1 前言 22
3.2 定義偏移迴圈之有效延展比 22
3.3 偏移迴圈之修正等效系統模式 23
3.3.1 修正等效線性系統之推導過程 23
3.3.2 小結 30
3.4 最佳化之偏移反應與修正等效線性系統 31
3.5 白噪反應之數值分析 33
3.5.1 MEL系統位移反應誤差之數值分析 34
3.5.2 最佳化MEL系統數值分析 36
3.5.3 MEL系統位移反應機率分布 37
3.6 有效延展比 與延展比 之關係比較 38
第四章 結論與建議 40
參考文獻 42

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