The　dynamics　of　beams　subjected　to　moving　loads　are　of　practical　importance　since　the　responses　caused　by　these　loads　can　be　greater　than　those　under　equivalent　static　loads　in　some　cases.　In　this　work,　a　novel　inertial　nonlinear　energy　sink　(NES)　is　applied　for　the　first　time　to　achieve　vibration　suppression　in　beams　under　moving　loads.　Based　on　the　Timoshenko　beam　theory,　the　nonlinear　motion　equations　of　a　beam　with　an　inertial　NES　are　derived　using　the　energy　method　and　Lagrange　equations.　The　Newmark-beta　method　combined　with　the　Heaviside　step　function　is　adopted　to　calculate　the　responses　of　the　beam　under　moving　loads　of　constant　amplitude　and　harmonic　excitation.　The　accuracy　of　the　modelling　derivation　and　solution　methodology　are　validated　through　comparisons　with　results　from　other　studies.　The　results　demonstrate　that　the　velocity　and　excitation　frequency　of　the　moving　load　significantly　affect　the　response　of　the　beam　as　well　as　the　performance　of　the　inertial　NES.　To　enhance　its　effectiveness　under　various　moving　load　conditions,　parametric　optimization　is　numerically　performed.　The　optimized　inertial　NES　can　achieve　good　performance　by　efficiently　reducing　the　maximum　deflection　of　the　beam.　The　findings　of　this　study　contribute　to　advancing　the　understanding　and　application　of　NESs　in　mitigating　structural　vibrations　caused　by　moving　loads.　(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic).　(sic)(sic),　(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)　(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic).　(sic)(sic)(sic)(sic)(sic),　(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(NES),　(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic).　(sic)(sic)　Timoshenko(sic)(sic)(sic),　(sic)(sic)(sic)(sic)(sic)(sic)NES(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic).　(sic)(sic)Newmark-beta(sic)(sic)(sic)(sic)Heaviside(sic)(sic)(sic)(sic),　(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)　(sic)(sic)(sic)(sic)(sic)(sic)(sic).　(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic),　(sic)(sic)(sic)NES(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic).　(sic)(sic)(sic)(sic),　(sic)(sic)(sic)(sic)(sic)(sic)NES(sic)(sic)(sic)(sic)(sic)(sic)(sic)　(sic)(sic)(sic)(sic)(sic),　(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic).　(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)NES(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic)(sic).