本研究之主要目的在於建立一套搜尋模態之流程運用在靜力分析上。利用大量類似外力條件作用下之位移資料，以數值方法進行搜尋結構體之特定基底向量，藉由容許誤差值之大小，建立出不同組數之模態組，運用最小總勢能原理推導靜力分析之求解方程式，並將此方法藉由不同外力結構體的分析結果，研究各項位移值之精準度和適用性，最後再由特徵值分析求解相同問題，進行比較。

The main purpose of this research is to establish the displacement basis vectors for static analysis. A numerical procedure is suggested is this study. A set of displacement results is used as original data base. The relative values between each displacement variables are searched by the suggested procedure. Then a set of base vectors can be found. The approximated results can be obtained by using these base vectors. The calculated results were compared to the approximated results obtained from Eigenvalue analysis . The comparisons show the suggested method is bettor than the Eigenvalue analysis.

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