Exponential MMA Approximation for Structural Optimization
Date Issued
2010
Date
2010
Author(s)
Chen, Yi-Chang
Abstract
This thesis generalizes the conservative approximation method for structural optimization and presents a new approach which is based on the method of moving asymptotes and higher order convex approximation, named exponential MMA. In this method, approximated functions are constructed by the function values and sensitivities of two successive design points; in addition, the functional convexities are improved by means of the bounds of design variables. With the use of the proposed approximation method, the structural behavior functions, such as stress, displacement, natural frequency or dynamic response, can be converted to the explicit form of design variables. Therefore, utilizing the conventional optimization techniques can efficiently solve the approximated problems. A computer program is also developed by integrating the optimization theorem and the finite element software ANSYS to solve structural optimum design problems. The result demonstrates that the proposed method can quickly find the convergent and accurate solutions for general structural optimization problems, and it also proves that this method is efficient and practical in structural optimization.
Subjects
Structural optimization
Conservative approximation method
Convex linearization
Finite element method
Type
thesis
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