Abstract
This paper proposes a structural topology optimization method for obtaining mechanical structures 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 vibrating mechanical structures.
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