To　locate　structural　damages　for　differently　supported　beams,　one　method　of　flexibility　curvature　MFC　was　constructed　by　the　maximum　in　each　column　of　flexibility　matrix　for　cantilever　beams.　The　other　method　of　flexibility　curvature　DFC　was　constructed　from　principal　diagonal　elements　of　flexibility　matrix　as　a　new　indicator　for　non-cantilever　beams.　The　numerical　simulation　sups　indicate　that　the　damage　location　in　structures　can　be　identified　without　baseline　modal　parameters　by　DFC　for　non-cantilever　beams　and　MFC　for　cantilever　beams,　by　which　not　only　simple　damage　but　also　multiple　ones　can　be　detected　and　degree　of　structural　damage　can　also　be　derived　by　using　only　a　few　of　the　lower　frequency　modes.