為了增進擬動態試驗的應用範圍以處理更加複雜的結構，本文推導雙自由度的外顯式數值積分法提供擬動態試驗使用。傳統擬動態試驗常採取較保守的單一取樣量測技術，其目的在於以較長的致動器作動時間來保證命令被準確的執行，並確保量得反力訊號的準確性以進行運算，往往無法剖析致動器的運作過程及試體的細微行為。本論文進一步開發多重取樣量測技術，可以在較短的致動器作動時間下，利用較多的取樣量測資訊，了解致動器的詳細運作過程及試體的行為，同時量得較穩定的反力訊號，進而選擇合適的取樣時間進行擬動態試驗，改善試驗時間過長的缺點以及降低試驗誤差。並利用Simulink 及 Real-Time Window Target 軟體將兩者整合，經由軟硬體的配置利用INSTRON 8800萬能試驗機，實際進行擬動態試驗。文中並針對數值方法的正確性、試驗技術改善的成果及試驗誤差的來源對於試驗結果準確度的影響進行分析與探討。

In order to improve the application of pseudodynamic testing, an explicit numerical in-tegration method of two-degree-of-freedom system is developed in this study. In the tradi-tional pseudodynamic testing, single sampling period is used to ensure that the actuator will track the required command correctly and to get the accurate load-cell measurement. Due to lacking of understanding of the actuator‘s operation condition and the behavior of testing component, it needs to selected a longer sampling period to comply with the actua-tor’s settling time. In this study, a multiple sampling technique is developed to get more measurements within the sampling period of sending command signal. Both integration method and multiple sampling technique are implemented by using software packages – Real-Time Window Target and Simulink provided by the MathWorks, Inc. Detail investi-gations on the actuator’s operation and variations of measured signals from testing com-ponent can be easily performed by the INSTRON 8800 material testing machine, so that an appropriate sampling period can be chosen to conduct the pseudodynamic testing. Fur-thermore, the sensitivity analysis of accumulated error and restoring force measurement are studied.

1.M.Hakuno, M.Shidawara, and T.Hara，"Dynamic destructive test of a cantilever-beam controlled by an analog-computer"，Transactions Japan Society of Engineers, 1-9. (In Japanese.)，(1969).
2.K. Takanashi，"Nonlinear earthquake response analysis of structures by a computer actuator online system"，Transactions Architectural Instruction Japan , 229, 77-83 (In Japanese.)，(1975).
3.P.B. Shing and S.A Mahin，"Experimental error propagation in pseudodynamic testing"，UCB/EERC-83/12,Earthquake Engrg,Res,Ctr,Univ. of Califor-nia,Berkeley,Jun. TRM 551.22 Un3e，(1983).
4.P.B. Shing and S.A. Mahin，"Experimental Error Effects in Pseudodynamic Testing"，Journal of Engineering Mechanics,ASCE,116,805-821，(1990).
5.Masayoshi Nakashima and Nobuaki Masaoka，"Real-time on-line test for MDOF systems"，Earthquake Engineering Structural Dynamic , 28, 393-420，(1999).
6.羅仕杰，"記憶體共享光纖網路設備於即時擬動態試驗之初步研究"，國立暨南國際大學土木工程研究所，台中，(2005).
7.李明鴻，"應用快速擬動態試驗技術於非線性含斜撐框架動態反應之模擬與試驗"，國立成功大學土木工程研究所，台南，(2006).
8.林憲良，"降伏型非線性構件之慢速擬動態試驗與數值模擬"，國立成功大學土木工程研究所，台南，(2007).
9.張家瑋，"不同加載速率對擬動態試驗誤差的影響"，國立成功大學土木工程研究所，(2008).
10.張岳琪，"快速擬動態試驗之誤差傳播分析"，國立台灣大學土木工程研究所，台北，(1998).
11.NM. Newmark，"A method of computation for structural dynamics"，Journal of engineering mechanics division , 85(EM3), 67-94.，(1959).
12.The-MathWorks-Inc.，"Getting started with MATLAB version 7"，MathWorks Inc. 3 Apple Hill Drive Natick, MA.，(October 2004).
13.The-MathWorks-Inc.，"Using Simulink version 6"，MathWorks Inc. 3 Apple Hill Drive Natick, MA，(October 2004).
14.王信聰，"即時結構動態反應模擬器之研究與應用"，國立暨南大學地震與防災工程研究所，台中，(2005).
15.The-MathWorks-Inc.，"Real-Time Workshop user’s guide version6"，MathWorks Inc. 3 Apple Hill Drive Natick, MA，(October 2004).
16.Cezmi Kayabasi，"Settling Time Measurement Techniques Achieving High Precision At High Speeds"，Worcester Polytechnic Institue，(2005).
17.R. I. Demrow，"Settling Time of Operational Amplifiers"，Analog Dialogue, VOL. 4, NO. 1, p 1-11，(1970).