According　to　the　elastic-plastic　deformation　of　vibration-compacted　material　on　slant　excitation　mode,　a　novel　dynamical　model　is　proposed　in　terms　of　the　segmental　line　horizontal　symmetric　hysteretic　model　and　vertical　asymmetric　hysteretic　model　according　to　soil　property　parameters.　Based　on　first　order　approximation,　the　equivalent　damping　and　stiffness　coefficients　are　deduced.　Meanwhile,　the　response　equation　of　the　system　and　its　analytic　solution　are　derived　through　the　KBM　approximation　method.　Numerical　analysis　shows　that　the　equivalent　natural　frequency　of　the　compaction　system　decreases　and　the　wheel　vibration　waveform　distorts　as　the　excitation　amplitude　increases　due　to　hysteretic　nonlinearity:　multiple　harmonics　present　vertically　and　only　odd　harmonics　occurs　horizontally　in　addition　to　the　fundamental　wave.　Simulation　results　are　verified　through　the　on-site　construction　process.　The　conclusion　of　the　article　is　valuable　for　theoretically　monitoring　and　improving　the　compaction　quality.　©　2015,　Nanjing　University　of　Aeronautics　an　Astronautics.　All　right　reserved.