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標題: 回應表面法在最佳化設計之應用
Applications of Response Surface Methodology in Optimum Designs
作者: 李弦政
Lee, Shing-Cheng
關鍵字: Response Surface Methodology;回應表面法;Optimum Design;stepwise regression methods;face center cube;最佳化設計;逐步迴歸分析;面中心立方體佈點方式
出版社: 機械工程學系

In order to quickly obtain approximation results of structural analyses or experimental data, this research employs response surface method to replace finite element analyses and experiments. The optimum solutions of the design or experimental problems are sought using response surfaces for the objective and constraint functions. The response surface method is a statistical approach to create an approximate explicit function of design variables in a given design space. Therefore it is easy to compute the function values and sensitivities using response surfaces and the optimum solution can be obtained quickly.
The most important concern using response surface is to generate a response function with maximum accuracy while using minimum number of design points. To increase the accuracy of response surfaces, this thesis proposes two approaches to achieve the goal. One is to reduce the original design space to its half initially and then construct response surfaces in this reduced region to find optimum solution. After locating the optimum solution, a new design region centered on the found optimum solution is created and the final solution is searched in this new region. The other approach is similar to the previous one except the reduction of design space is made on each design variable by a given reduction ratio. The design or experimental points used to construct response surfaces are determined by central composite design. In addition to reduce the design space , the transformation of input and output data will also greatly improve the accuracy of the approximations. The input and output data are transformed by taking natural logarithm and power transformation, respectively. The step wise regression technique is finally used to select the most appropriate design variables in the model. DOT/DOC software is used to solve optimum design problems in this thesis.
Several examples including metal cutting experiments and structural designs are illustrated. The optimum solutions obtained by response surface are compared with known solutions.
Appears in Collections:機械工程學系所

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