The　plate/shell　structures　are　popular　among　in　engineering　because　they　show　great　potential　in　lightweight　design　under　pressure　loads.　This　paper　develops　a　lightweight　topology　optimization　method　of　plate/shell　structures　considering　different　mechanical　performances　based　on　independent,　continuous　and　mapping　(ICM)　method.　A　mathematical　formulation　is　established　to　describe　the　plate/shell　topology　optimization　problem　with　minimum　volume　or　mass　as　objective,　the　critical　buckling　load　and　nodal　displacement　as　constraints.　The　finite　element　model　is　employed　to　subdivide　the　design　domain　and　the　existing　state　of　each　element　is　described　as　a　topology　design　variable.　In　addition,　linear　buckling　and　static　analyses　are　used　to　get　the　critical　buckling　load　and　nodal　displacement　of　plate/shell　structures　and　relevant　information　of　elements　and　nodes　used　in　the　process　of　topology　optimization.　The　filter　functions　are　introduced　to　recognize　element　properties　and　map　the　0-1　integer　programming　model　into　a　formulation　with　continuous　variables.　Sensitivity　analysis　and　Taylor　expansion　are　applied　to　achieve　a　standard　quadratic　programming　model.　Finally,　numerical　examples　are　provided　to　test　the　effectiveness　and　feasibility　of　the　theory　above,　and　discuss　the　influence　of　constraints　on　optimal　structures.　This　study　can　provide　a　theoretical　basis　for　the　lightweight　topology　optimization　of　plate/shell　structures.　©　Published　under　licence　by　IOP　Publishing　Ltd.