There　are　three　difficulties　in　the　topology　optimization　problem　of　continuum　structure:　1)　The　problem　under　multiple　load　case　is　not　easy　to　be　approached　than　that　under　single　load　case,　because　the　former　becomes　a　multiple　objective　problem　on　the　basis　of　compliance　objective　function.　2)　The　problem　with　local　constraints,　such　as　elemental　stress　limit,　is　not　easy　to　be　solved　than　that　with　global　constraints,　such　as　displacement　or　frequency　limits,　because　sensitivity　analysis　of　the　former　has　too　expensive　computation.　3)　The　problem　with　a　phenomenon　of　ill-conditioned　load,　which　is　similar　to　ill-conditioned　stiffness　matrix　in　the　structural　analysis,　is　not　easy　to　get　reasonable　final　topological　structure,　because　the　former　is　difficult　to　consider　different　influences　between　the　loads　with　small　forces　and　the　loads　with　big　forces,　and　some　of　topology　paths　of　transferring　small　forces　may　disappear　during　the　process　of　iteration.　To　overcome　the　above　difficulties,　some　measures　are　adopted　as　follows:　1)　Topology　optimization　model　is　established　by　independent　continuous　mapping　(ICM)　method.　2)　Based　on　the　von　Mises　criteria　in　theory　of　elastic　failure,　all　element＇s　stress　constraints　are　transformed　into　a　structural　energy　constraint,　namely,　a　global　constraint　substitutes　for　lots　of　local　constraints.　3)　The　phenomenon　of　the　ill-conditioned　load　is　divided　into　three　cases:　(a)　Ill-condition　exists　between　load　cases,　but　not　within　each　load　case;　(b)　Ill-condition　exists　within　some　load　case;　(c)　Ill-condition　exists　not　only　between　load　cases,　but　also　within　some　load　case.　(4)　A　strategy　based　on　strain　energy　is　proposed　to　adopt　ICM　method　with　stress　globalization,　and　the　problems　of　the　three　cases　of　ill-conditioned　load　mentioned　above　are　solved　in　term　of　different　complementary　approaches　one　by　one.　Numerical　examples　show　that　the　topology　path　of　transferring　forces　can　be　obtained　more　easily　by　substituting　global　strain　energy　constraints　for　local　stresses　constraints,　and　the　problem　of　ill-conditioned　load　can　be　solved　well　by　the　weighting　method　which　takes　structural　energy　as　weighting　coefficient.