Constant　filter　radius　sensitivity　filtering　method　could　effectively　eliminate　checkerboard　patter　and　mesh　dependence,　the　optimized　results　had　boundary　diffusion,　the　edges　of　the　graph　existed　many　gray-scale　elements.　A　considering　density　compensation　variable　filter　radius　sensitivity　filtering　method　was　proposed　as　an　efficient　approach,　compensated　the　elements　of　relative　density　in　0.5-1,　and　reduced　element　density　value　in　0-0.5,　and　gradually　reduced　the　filter　radius　to　1.　Combining　the　solid　isotropic　microstructure　with　penalization　model(SIMP),　the　classical　topology　optimization　problems　were　used　to　prove　the　superiority　of　the　new　method.　The　experimental　results　show　that　the　new　sensitivity　filtering　method　may　eliminate　checkerboard　patter　and　mesh　independence,　then　the　optimized　results　have　clear　boundary,　and　the　optimization　efficiency　and　optimization　performance　are　improved　significantly.　©　2017,　China　Mechanical　Engineering　Magazine　Office.　All　right　reserved.