基於結構性能為目標之設計中，通常使用非線性歷時分析(NRHA)以獲得建築物的真實反應，與常見之非線性靜態分析(NSPs)相比，非線性反應加載歷時之分析方式通常較為複雜，通常包含複數個地震事件和高計算量之歷時分析。然而，非線性靜態分析只有結構第一模態之結果，而不會顯示結構之高模態效應，特別是對於高層建築。為將結構之高模態效應納入結構耐震性能評估中，建議使用模態側推分析(MPA)。然而，模態側推分析仍然涉及許多復雜手法及大量之單自由度系統歷時分析，在實際應用上是不可行的。因此本論文提出了一種替代非線性靜態分析之方法，稱為基於改良第一模態之側推分析 (MFPA)，僅需藉由側推分析將結構側推至目標位移量，即可評估結構在最大考量地震(MCE)作用下之動態反應，其中目標位移量由FEMA-356之位移係數法決定。本論文中使用OpenSees分析軟體進行構架之分析研究與比較，分析中模型涵蓋不同結構週期之五層、十層、十五層及二十層特殊抗彎矩構架 (SMRF) 與五層、十層及二十層特殊同心斜撐構架 (SCBF)。 並將由非線性歷時分析、非線性靜態分析及模態側推分析中，獲得之層間位移角、層間側位移和梁端塑鉸分布情形結果與基於改良第一模態之側推分析之結果進行比較。結果證實，對於特殊抗彎矩構架和特殊同心斜撐構架之構架系統，使用基於改良第一模態之側推分析相對於其他分析方式，能更準確的預估結構之反應。

In the goal of the performance-based design of building structures, nonlinear response history analysis (NRHA) procedures are typically performed to obtain the realistic responses of the buildings. The procedures usually involve complex sequences, which include the consideration of many seismic events, high computational effort of response history analysis, compared to conventional nonlinear static procedures (NSPs). However, the results of the conventional NSP, which solely upon the first mode of the buildings, typically exclude the high-modes effects of the building particularly for high-rise ones. For assessing the seismic performance of structures as taking the higher-mode-effects of the buildings into account, modal pushover analysis (MPA) has alternatively suggested being applied. However, the MPA still involves complex sequences and a great number of response history analyses of SDOF systems, which are usually not feasible in practical applications. The study proposed an alternative NSP, named modified first-mode-based pushover analysis (MFPA), to assess the dynamic responses of buildings under the maximum considered earthquakes (MCE) with a single-step pushover analysis along with the target displacement determined by the displacement coefficient method per FEMA-356. In the study, five-, ten-, fifteen-, and twenty-story special moment resisting frames (SMRFs) and five-, ten-, and twenty-story special concentrically braced frames (SCBFs) covering a broad range of fundamental periods are investigated and compared through OpenSees analytical frameworks. The results of inter-story drift, lateral floor displacement, and beam end plastic hinge distribution obtained from the NRHA, conventional NSPs, and MPA procedures are compared with that of MFPA. The results verified that the proposed MFPA procedure provided better accuracy for accessing the responses of NRHA compared to others for both frame systems of SMRFs and SCBFs.

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