In　this　paper,　the　stability　and　periodic　motions　for　a　limited　vibration　absorber　model　with　the　piecewise　smooth　property　are　studied.　The　dynamic　model　of　a　kind　of　limited　vibration　absorber　is　established.　The　existence　of　the　admissible　equilibrium　point　of　the　model　is　discussed,　and　the　stability　of　the　admissible　equilibrium　point　is　analyzed　by　Liénard-Chipart　stability　criterion.　With　the　aid　of　parameter　transformations,　the　vibration　absorber　model　with　limited　amplitude　is　transformed　into　a　fourdimensional　piecewise　smooth　system　with　two　switching　manifolds.　By　the　first　integrals　of　the　system,　the　Melnikov　function　of　the　four-dimensional　parametric　piecewise　smooth　dynamic　system　under　the　condition　that　the　unperturbed　system　has　a　family　of　periodic　orbits　is　obtained.　The　existence　and　number　of　periodic　orbits　of　the　system　under　different　parameter　conditions　are　discussed,　and　the　phase　diagram　configuration　is　given　by　numerical　simulation　method　to　verify　the　correctness　of　the　theoretical　results.　The　results　show　that　different　clearance　parameters　affect　the　number　and　relative　positions　of　periodic　orbits.　©　2024　Journal　of　Dynamics　and　Control.　All　rights　reserved.