To　assess　the　seismic　performance　of　structures　with　negative　stiffness　friction　damping　device‚　a　negative　stiffness　quadrilateral　hysteretic　model　generated　by　negative　stiffness　friction　damping　device　was　analyzed.　Taking　a　four-floor　steel　structure　frame　as　a　case　study‚　negative　stiffness　friction　damping　devices　were　arranged　on　the　first　and　second　floors　of　the　steel　structure　frame‚　and　the　seismic　response　of　the　structure　under　different　ground　motions　was　analyzed.　The　results　show　that　the　negative　stiffness　quadrilateral　hysteretic　model　generated　by　the　negative　stiffness　friction　damping　device　can　control　the　displacement　response　and　reduce　the　structural　stiffness.　Thus‚　the　natural　frequency　is　reduced　and　the　natural　period　is　extended‚　as　expected.　The　shaking　table　tests　show　that　the　negative　stiffness　friction　damping　device　can　control　the　acceleration　and　displacement　responses　of　the　structure.　In　addition‚　better　seismic　reduction　effect　will　be　obtained　when　the　device　is　arranged　at　the　large　structural　deformation　position.　©　2023　Science　Press.　All　rights　reserved.