Metamaterials　(MMs)　have　become　increasingly　prominent　in　terahertz　flexible　devices.　However,　bending　deformation　often　alters　the　structure　of　the　unit,　which　affects　the　response　performance　and　stability　of　MMs.　Here,　a　metal-aperture　metamaterial　(MA-MM)　utilizing　the　strong　coupling　effect　induced　by　two　resonance　modes　is　innovatively　proposed　to　address　the　mentioned　limitations.　Specifically,　it　is　found　that　the　coupling　state　between　multiple　resonance　modes　remains　consistent　at　different　bending　angles.　Under　these　circumstances,　the　generated　Rabi　splitting　peak　presents　stable　response　performance　even　under　low　resonance　intensity　caused　by　excessive　deformation.　The　experimental　results　demonstrate　that　despite　the　amplitude　of　two　resonant　peaks　decreasing　significantly　by　87.6%,　the　Q-factor　of　the　Rabi　splitting　only　reduced　by　14.8%.　Furthermore,　armed　with　the　response　mode　of　the　Rabi　splitting　being　unaffected　by　plasma　excitation　range,　the　designed　MA-MMs　are　able　to　maintain　constant　Q-factors　and　frequencies　on　curved　surfaces　of　varying　sizes.　These　findings　exhibit　the　characteristics　of　electromagnetic　response　for　multi-mode　resonance-coupled　MA-MMs　on　different　curved　surfaces,　presenting　a　novel　design　approach　for　terahertz　flexible　functional　devices.　©　2024　Chinese　Laser　Press.