隔震技術已被證實可有效減低結構物受地震侵襲的破壞程度，加上近年來隔震技術發展漸趨成熟，使得隔震技術已被運用在許多建築結構設計之實際案例。目前規範針對隔震建築設計係採用等效線性之觀念進行設計並輔以非線性動力分析加以檢核。其中，高阻尼橡膠支承墊為結構隔震系統常用隔震器之一，然其本身高度非線性之力與位移關係，致使採用雙線性分析模型不能準確分析其受地震力後之反應。本文將利用一遲滯迴圈數值模型來描述高阻尼橡膠支承墊受力後之力學行為，並針對使用高阻尼橡膠支承墊之基底隔震結構提出一套非線性地震力分析流程。透過數值分析與一使用高阻尼橡膠支承墊隔震鋼構架振動台實驗結果的相互驗證，結果顯示該遲滯迴圈數值模型確實能準確預測高阻尼橡膠支承墊受地震力後之行為，同時本文所提出之分析流程對於上部結構受地震力後之反應亦能準確地預測。

Seismic isolation is proven to be an efficient way for the structure against earthquake hazard. For that reason, the seismic isolation is adopted for many engineering applications. In order to design and analyze the seismic-isolated structure, the concept of equivalent linear analysis supplemented by nonlinear dynamic analysis is applied in the seismic design code.
High damping rubber bearing is one of common isolator used in isolation system. Because of the highly nonlinear hysteresis behavior, the existing analytical models may not be suitable for describing the mechanical properties of high damping rubber bearings. Hence, this study develops a nonlinear seismic response analysis procedure integrated the proposed mathematical hysteresis model for well capturing the seismic responses of base-isolated multistory structure with high damping rubber bearings.
By comparing to the experimental results from the shaking table tests of a three story base-isolated steel frame with high damping rubber bearings subjected unilateral and bilateral earthquake excitations, the proposed mathematical hysteresis model and the developed analysis procedure are found to be capable of accurately predicting the seismic responses of base-isolated multistory structure with high damping rubber bearings.

摘要 i
Abstract ii
致謝 iii
Table of Contents iv
List of Tables vi
List of Figures vii
CHAPTER 1 Introduction 1
1.1 Background 1
1.2 Objectives of Study 3
CHAPTER 2 Mathematical Hysteresis Models of High Damping Rubber Bearings 5
2.1 Introduction 5
2.2 Proposed Mathematical Hysteresis Model 6
2.3 Coefficients Identification 8
2.3.1 Nonlinear Least Squares Method 8
2.3.2 Levenberg-Marquardt Algorithm 10
CHAPTER 3 Analytical Model for Base-Isolated Multistory Structures 15
3.1 Introduction 15
3.2 Analytical Structure Model 15
3.3 Equations of Motion 16
3.4 Numerical Solution 21
3.4.1 State Space Formulation 21
3.4.2 Computational Algorithm 22
CHAPTER 4 Experimental Validation 25
4.1 Test Structure 25
4.2 High Damping Rubber Bearings 26
4.3 Instrumentation 26
4.4 Test Program 27
4.5 Validation of Analytical Model 27
4.5.1 Mechanical Properties of High Damping Rubber Bearing 28
4.5.2 Unilateral Seismic Responses of Test Structure 29
4.5.3 Bilateral Seismic Responses of Test Structure 30
CHAPTER 5 Conclusions 33
REFERENCES 35
APPENDIX I Notation 41

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