Quasi-quadratic Two-point Conservative Approximation Method for Structural Optimization
Date Issued
2007
Date
2007
Author(s)
Chang, Yao-Jen
DOI
zh-TW
Abstract
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.
Subjects
結構最佳化設計
兩點近似法
保守近似法
凸線性化法
有限元素法
structural optimization
two-point approximation method
conservative approximation method
convex linearization
finite element method
Type
thesis