Abstract
This paper deals with the evolutionary optimization of maximizing the difference between two natural frequencies of a vibrating structure. Two new criteria, namely the material efficiency criterion and the smooth change criterion, are derived for solving this kind of evolutionary optimization problem. Using these two new criteria, the evolutionary optimization method has been further extended and applied to maximize the difference between the fundamental and the second natural frequencies of a structure under both plane stress and thin plate flexural bending conditions. The related results demonstrated that the extended evolutionary structural optimization method is useful in and applicable to dealing with the evolutionary optimization of maximizing the difference between two natural frequencies of a vibrating structure. Moreover, the results also indicated that owing to the different mechanism between plane stress and thin plate flexural bending conditions, the optimal topologies, the normalized difference between two natural frequencies and the normalized material efficiency are different for a vibrating structure under these two different situations.
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Zhao, C.B., Steven, G.P. & Xie, Y.M. Evolutionary optimization of maximizing the difference between two natural frequencies of a vibrating structure. Structural Optimization 13, 148–154 (1997). https://doi.org/10.1007/BF01199234
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DOI: https://doi.org/10.1007/BF01199234