機械式レゾネーターの構造最適化(OS14f 計算力学と最適化)

概要

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This paper proposes a structural topology optimization method for obtaining mechanical resonators incorporating desired dynamic characteristics. First a new type of homogenization design method is introduced, in which the continuous material distributions are assumed using a continuous interpolation function at each node, in order to overcome numerical instabilities. Next, three design requirements to implement specific dynamic characteristics in the mechanical structures are clarified, namely eigen-frequency matching, eigen-mode control, and stiffness, and the corresponding objective functions are formulated. An optimization algorithm is developed using Sequential Linear Programming (SLP). Finally, several examples are provided in order to confirm the usefulness of the generated optimal designs for mechanical resonators.
2004-11-17