The　purpose　of　present　work　is　to　study　structural　optimal　design　of　dynamics　for　three-dimensional　(3D)　continuum　structures,　and　to　aim　at　constructing　topological　optimal　formulation　by　using　ICM　method,　which　is　considering　weight　as　object　function　and　fundamental　eigenfrequency　as　constraints.　An　explicit　expression　of　frequency-constraint(s)　with　respect　to　topological　variables　is　obtained　based　on　Rayleigh＇s　quotient　and　first-order　Taylor　expansion.　And　two　types　of　models　with　filter　functions　including　power　function　and　exponential　function　are　standardized.　As　a　result,　the　topology　optimization　problem　is　solved　by　the　dual　quadratic　programming.　Localized　mode　and　mode　switching　often　occurred　in　structural　optimization　with　natural　frequency　constraints　are　handled　by　using　filter　functions　and　moving　constraints　in　the　optimal　process.　Finally,　several　numerical　examples　applying　different　filter　functions　in　the　optimal　model　are　analyzed　and　discussed　to　demonstrate　the　feasibility　and　efficiency　of　the　proposed　method.