Bスプライン曲面のレベルセットに基づくトポロジー最適化の固有振動数の制御への応用

抄録

Amstutz's method in which the level set function is evolved by the spherical linear interpolation of the topological derivative and level set function is one of the promising topology optimisations since its convergence property is mathematically analysed. It is, however, difficult for the Amstutz's method to control the complexity of optimal solutions. We have proposed to use the B-spline surface for the level set function, which enables us to use the number of control points or the degree of the B-spline as such parameters to control the complexity of optimal solutions. In this study, we apply the proposed method to the problem of controlling the natural frequency and try to expand the applicability of the methodology.