Minmax topology optimization

摘要: We describe a systematic approach for the robust optimal design of linear elastic structures subjected to unknown loading using minmax and topology optimization methods. Assuming only region norm, we distribute given amount material in domain minimize principal compliance, i.e. maximum compliance that is produced by worst-case scenario. evaluate directly satisfying optimality conditions which take form Steklov eigenvalue problem thus eliminate need an iterative nested optimization. To generate well-posed use relaxation requires homogenization theory. Examples are provided demonstrate our algorithm.