Under　varying　excitation　amplitudes,　the　bistable　nonlinear　energy　sink　(NES)　exhibits　five　distinct　response　mechanisms:　intra-well　periodic　oscillation,　inter-well　chaotic　oscillation,　weakly　modulated　response　(WMR),　strongly　modulated　response　(SMR),　and　inter-well　periodic　oscillation.　Among　these,　SMR　is　recognized　for　achieving　the　highest　vibration　absorption　efficiency.　This　paper　presents　a　bistable　track　NES　(BTNES)　with　nonlinear　damping,　designed　to　significantly　lower　the　energy　threshold　required　for　SMR,　enabling　their　generation　at　lower　excitation　levels　and　thereby　enhancing　vibration　absorption　efficiency.　Firstly,　the　slow　invariant　manifold　(SIM)　of　the　system　is　derived　using　the　complexification-averaging　and　multiple　scales　methods.　Based　on　this　analysis,　the　advantages　of　the　proposed　BTNES　in　terms　of　energy　transfer　and　response　mechanisms　are　evaluated.　Subsequently,　global　bifurcations,　including　saddle-node　(SN)　bifurcations　with　periodic　fixed　points　and　Hopf　bifurcations,　are　analyzed　to　determine　the　ranges　of　stiffness,　damping,　and　other　parameters　influencing　SMR　behavior.　Finally,　the　external　excitation　threshold　range　for　SMR　is　derived,　and　the　effects　of　stiffness,　damping,　and　additional　parameters　on　SMR　thresholds　are　systematically　investigated,　culminating　in　an　optimal　parameter　design.　The　findings　demonstrate　that　the　BTNES　effectively　shortens　the　threshold　ranges　for　intra-well　periodic　oscillation　and　inter-well　chaotic　oscillation,　significantly　reduces　the　energy　threshold　for　triggering　SMR,　and　broadens　the　range　of　external　excitation　thresholds　required　for　SMR　generation.　These　results　highlight　the　BTNES＇s　potential　for　enhanced　vibration　absorption　and　improved　system　performance.