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題名 | A Study of Characteristics of Performance Functions for Frequency Response Optimization Problems |
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作者 | Cheng, Hsien-chie; Fang, Jiunn; | 書刊名 | Journal of Aeronautics, Astronautics and Aviation. Series A |
卷期 | 38:1 民95.03 |
頁次 | 頁35-47 |
分類號 | 446.1 |
關鍵詞 | Optimization; Topology; Eigenfrequency; |
語文 | 英文(English) |
英文摘要 | This paper attempts to perform the optimal topology design of plate structures subject to an external excitation frequency in a and essential characteristics of a variety of proposed objective functions, including the dynamic mean compliance, the norm of the frequency response vector, the kinetic energy and the strain energy. To formulate the topology optimization problems, a homogenization algorithm proposed in Suzuki and Kikuchi together with finite element methods (FEM) are empo9yed, and solution of the optimization problems is sought by using an optimality criterion method and a generalized stress based approach. To substantiate the proposed optimization algorithms and formulations, the optimum topology design of reinforcements of a simply-supported plate structure subject to various external excitations is performed. The derived results show that if the first eigenfreqency of the intermediate design could not exceed the specified external excitation frequency during the optimization process, a convergent solution would be unavailable, which is also the main cause for the last three objective functions incapable of providing optimal solutions. However, it is shown that the proposed approach by means of a simple adjustment and modification of these objective functions turns out to be quite effective to ease the difficulty. |
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