[[alternative]]Quasi-cubic Two-point Conservation Approximation for Structural Optimization

[[abstract]]本文發展與建構兩點保守近似函數，替代限制條件中無顯函數的優化問題。以修正凸線性近似為基 礎，改善其準確性;以泰勒級數展開至對角三次項，可得準三次兩點保守近似法(QcTCA)數學模型。 經QcTCA 函數的數值性能測試分析，並與修正凸線性近似法做比較，討論其誤差性及準確性。由文 獻中的範例研究比較得知，本文提出的近似方法及優化求解策略，能以較少的迭代計算次數收斂到結 果， 驗證本文所提出的準三次兩點保守近似法於優化設計的有效性與應用性。[[abstract]]Two point approximation of a function are currently recognized as the formal approach that can be applied to large-scale structural optimization problems or to implicit functions, such as the function computed by finite element analysis. To achieve the stable and efficient convergence, the conservative function approach has been proved to be a practical application in optimization process. This paper develops a Quasi-cubic two-point conservative approximation (QcTCA) integrated in structural optimization, based on modified convex approximation (MCA), that include quasi-cubic term in the Tayler series approximation. The results show that not only a limited and stable iteration times can be maintained but also a relative precise results can be obtained.[[conferencetype]]兩岸[[conferencetkucampus]]淡水校園[[conferencedate]]20101116~20101116[[iscallforpapers]]Y[[conferencelocation]]臺北縣, 臺