A　double-steel-wheel　vibratory　roller　possesses　special　vibration　characteristics　under　double-excitation.　Considering　the　asymmetric　hysteretic　characteristic　of　soil　material　in　different　compacting　stages　and　the　possibility　of　jump-vibration　decoupling　between　the　two　vibratory　wheels　in　actual　working　conditions,　a　7-DOF　overall　model　was　put　forward.　Using　the　first　order　approximation,　the　equivalent　stiffness　and　damping　in　different　compacting　stages　were　obtained　with　the　harmonic　linearization　and　KBM　(Krylov-Bogolyubov-Mitropolsky)　combined　method.　In　addition,　beat-vibration　characteristics　of　the　roller　cab　due　to　the　difference　between　vibration　frequencies　of　the　front　wheel　and　the　rear　one　were　systematically　studied.　Under　model＇s　parameters　in　different　working　conditions,　it　was　shown　that　Poincare　motion　sections　reflect　nonlinear　motion　characteristics　of　a　single　period　bifurcation,　a　double-period　one,　a　three-period　one　and　a　multi-period　one;　the　dynamic　system　produces　higher　order　super-harmonic　and　sub-harmonic　resonances　during　later　compacting　stages;　with　a　larger　exciting　force　and　a　lower　frequency　condition,　the　cab　enters　a　chaos　vibration;　through　adjusting　excitation　forces　and　the　excited　frequencies　of　the　double-wheel　reasonably,　the　chaos　vibration　can　be　suppressed　effectively,　the　service　life　of　the　roller　components　can　be　extended　and　the　operating　comfort　can　be　improved.　The　worksite　compacting　operation　tests　verified　the　rationality　of　the　proposed　model　and　theoretical　analysis.　©　2017,　Editorial　Office　of　Journal　of　Vibration　and　Shock.　All　right　reserved.