The mathematical methods of structural design optimization using the optimality criteria are reviewed. The resultant and nearly optimal design of a fan bade ensures the design goals at the selected criterion. The optimal design based on topology optimization was carried out in ANSYS. The optimization problem solution provided optimal distribution of the impeller blade mass for axial mine fans. It is validated to be possible to decrease the the blade mass by 60% as compared with a monolithic blade at the preserved rotation speed and ratio of flow path diameters.
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