Nonlinear filters in topology optimization: existence of solutions and efficient implementation for minimum compliance problems

摘要: Material distribution topology optimization problems are generally ill-posed if no restriction or regularization method is used. To deal with these issues, filtering procedures routinely applied. In a recent paper, we presented framework that encompasses the vast majority of currently available density filters. this show nonlinear filters ensure existence solutions to continuous version minimum compliance problem. addition, provide detailed description on how efficiently compute sensitivities for case when multiple applied in sequence. Finally, present large-scale numerical experiments illustrating some characteristics cascaded