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Solutions to shape and topology eigenvalue optimization problems using a homogenization method. (English) Zbl 0767.73046
Summary: A solution strategy to find the shape and topology of structures that maximize a natural frequency is peresented. The methodology is based on a homogenization method and the representation of the shape of the structure as a material property. The problem is formulated as a reinforcement problem in which a given structure is reinforced using a prescribed amount of material. Plane elasticity problems are considered. Examples are presented for illustration.

74P99 Optimization problems in solid mechanics
74E05 Inhomogeneity in solid mechanics
Full Text: DOI
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