擬動態試驗數值積分法之研究-狀態空間法之應用

Abstract

本文提出以狀態空間法為架構而修正之擬動態試驗數值積 分法-顯式 狀態空間法及運算分離型狀態空間法。文中推導此兩法之有效系統矩陣並 進行特徵分析求得其數值穩定範圍。另在 數值分析實例中首先比較傳統 數值方法精確度之優劣，繼而以 數值模擬實際結構反力來比較本文提出 之顯式狀態空間法、運 算分離型狀態空間法與現行之擬動態試驗數值積 分法的精確 度。文中並以一單層實尺寸結構進行擬動態試驗驗證了顯 式狀 態空間法之可行性。 In this thesis, two on-line integration algorithms, including the Explicit SSPand the Operator-Splitting SSP (OS-SSP), to be applied in the pseudodynamic tests are proposed. Both algorithms are derived based on a State Space Procedure. Stability of the numerical integration schemes are verified through eigen-analysis of their effective system matrices. Significant improvements in integration accuracy have been achieved for both the proposed schemes, of which the OS-SSP algorithm is found to be the best throughout the analysis consistently . Due to the lack of time, only the Explicit SSP algorithm is implemented for pseudodynamic testing of a full scale steel frame carried out in the laboratory of NTU. Feasibility of this algorithm has been verified and its superiority over the existing Explicit Newmark method is indicated in the experimental results.