抄録
This paper presents an optimal design method regarding a large-scale acoustics-structure coupled model subject to frequency response. It is difficult to directly apply an optimal design method to a large-scale model, because this model includes more than 1 million degrees of freedom. First, the analytical sensitivities of the target sound pressure based on the concept of the mutual mean compliance is formulated using the coupled motion formulation Second, a new coupled reduction method based on frequency response functions is presented. Third, beam elements are selected as additional structures because cross sectional sizes of beam elements easily make engineers image new ideas as a small reinforcement. In addition to it, the analytical sensitivities of the sound pressure with respect to cross sectional properties is formulated. Moreover, an optimization problem, where the amplitude of a sound pressure, a total mass of additional elements and side lengths of square cross sections are regarding as an objective function, an equality constraint function and design variables, respectively, is formulated. Finally, we demonstrate the effectiveness of the proposed method through the simple model.
