回應表面近似法已成功被應用於無法直接取得顯性函數資訊，需繁複求解過程及困難得到靈敏度資訊之工程最佳設計問題。(1)如何有效建構穩健的回應表面近似函數及(2)如何逐次應用回應函數進行最佳化設計的程序及演算法，是回應表面近似最佳化成功的主要關鍵。本文對整個演算程序加以敘述，重點在於發展建構實用的逐次回應函數進行最佳化設計的方法程序及演算法，應用本法可有效、穩健及相當正確的得到設計解。本法以結構力學為基礎的結構設計例來說明與顯示設計方法的程序。讀者可應用此規則，加以修改成適合的設計與應用。 This paper proposed a rationalized searching strategy in the design space of response surface approximation constructed by experimental points for structural optimization. A step-by-step solution algorithm was given for designers of possibly following and programming. The primary idea is based on consequently and gradually to change the shape of the response surface until contains a local optimum. Using sequential reducing the searching space, the global optimum gradually flows to the surface. The process spends fewer computations of finite element analysis than nominal finite element based optimization. Beside, the proposed method is significantly correct and robust. A 10-bar truss and a 25-bar truss design examples are given here to illustrate the recommended approach.
