In　this　paper,　we　mainly　focus　on　the　structural　optimal　design　of　dynamics　for　continuum　structures,　and　aim　at　constructing　the　topological　optimal　formulation　by　using　the　ICM　(Independent,　Continuum　and　Mapping)　method,　which　is　considering　weight　as　objective　function　and　fundamental　eigenfrequency　as　constraint.　The　local　model　is　removed　by　selecting　suitable　filter　function.　And　two　algorithms,　dual　sequential　quadratic　programming　(DSQP)　and　global　convergent　method　of　moving　asymptotes　(GCMMA)　algorithm,　were　used　to　solve　the　mathematic　optimal　model.　Finally,　numerical　example　is　provided　to　demonstrate　the　validity　and　effectiveness　of　the　ICM　method　and　compare　the　optimization　results　of　two　optimization　algorithms.　The　results　show　that　both　optimization　algorithms　can　solve　the　mathematics　optimization　model　effectively.　©　(2013)　Trans　Tech　Publications,　Switzerland.