Quasi-quadratic Two-point Conservative Approximation Method for Structural Optimization

• Main Authors: Yao-Jen Chang, 張耀仁
• Other Authors: Tien Tung Chung
• Format: Others
• Language: zh-TW
• Published: 2007
• Online Access: http://ndltd.ncl.edu.tw/handle/20450599994213902456

碩士 === 國立臺灣大學 === 機械工程學研究所 === 95 === This thesis improves the conventional conservative approximation method for structural optimization. A new quasi-quadratic two-point conservative approximation method is presented in this thesis. Two-point fitting scheme is applied to construct the approximation function. Both the derivatives and the functional values of the previous design point are adopted to improve the approximation accuracy. By using the new approximation method, the structural behavior functions, such as stress, displacement, natural frequency and dynamic response, can be converted to explicit functions. Therefore, utilizing the conventional optimum techniques can efficiently solve the explicit approximation problem. A computer program is also developed by integrating the approximation method with the finite element software ANSYS. Optimization of several structure design problems can be obtained with fewer design iterations. The results demonstrate that the proposed method can quickly find the convergent and accurate solutions for general structural optimization problems. It proves that the proposed method is efficient and practical in structural optimization.