The　traditional　ideal　elasto-plastic　hysteresis　model　performs　well　in　controlling　structural　displacement,　yet　its　effectiveness　in　controlling　acceleration　is　often　suboptimal.　The　force　equilibrium　relationship　of　a　single-degree-of-freedom　(SDOF)　system　reveals　that　the　structural　acceleration　response　is　closely　related　to　the　damping　force　at　peak　displacement.　Based　on　this,　a　notched　bilinear　hysteretic　model　was　proposed　to　make　the　damping　force　zero　at　peak　displacement.　The　displacement　and　acceleration　responses　were　compared　with　those　of　a　traditional　ideal　elasto-plastic　model　by　slowly　varying　the　SDOF　parameters　to　obtain　steadystate　results.　An　algorithm　for　the　proposed　hysteretic　model　was　established　using　MATLAB,　its　integrated　control　effect　on　the　displacement　and　acceleration　responses　of　the　SDOF　was　verified　by　a　nonlinear　time　history　analysis,　and　its　optimal　control　interval　and　parameters　were　obtained.　A　damping　device　was　subsequently　developed　based　on　the　characteristics　of　the　notched　bilinear　hysteretic　model　and　its　feasibility　and　mechanical　properties　were　verified　through　experimental　studies.　The　results　showed　that　a　well-designed　notched　bilinear　hysteretic　model　can　effectively　control　structural　displacement　while　achieving　effective　control　of　the　acceleration　response,　thus　enabling　dual　control　of　both　structural　displacement　and　acceleration.