The Study and Application of Using Stochastic Methodsin Topology Optimization

Autor: Jhe-Yu Guo, 郭哲宇
Rok vydání: 2011
Druh dokumentu: 學位論文 ; thesis
Popis: 99
The scope of this research is to study the effects of stochastic methods used in topology optimization, namely “Genetic Evolutionary Structural Optimization (GESO)” and “Element Exchange Method (EEM)”. Usually the optimization problems, yields local optimum rather than global optimum. This local optimum problem also appears in topology optimization. By using stochastic methods, the local optimum solution gets chance to approach global optimum. In the past few years, the studies on topology optimization methods such as “Evolutionary Structural Optimization (ESO)” and “Bi-directional Evolutionary Structural Optimization (BESO)” by this research group have not studied the stochastic methods used in topology optimization. In view of the study in the past few years, this research aims to use the stochastic methods in topology optimization. The effect participated by genetic algorithm in GESO is studied here. Further, this research compares the cases by using Element Exchange Method, which has a simple basic concept and can be operated easily, to get the topology results which shows that the EEM is a high flexibility method. Because of the high flexibility in EEM, this research uses EEM as a main topology optimization method. Although the Element Exchange Method is a highly flexible method in topology optimization, it still has some limitations such as the fixed volume ratio, the limitation of symmetry problem, etc. To improve EEM and solve its weaknesses, this research proposes a new approach - “Modified Element Exchange Method (MEEM)”, which has more flexibility and more advantages. MEEM is also found to produce good results for multi-material problems in topology optimization.
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